MathModDB Knowledge Graph of Mathematical Models
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MathModDB Knowledge Graph of Mathematical Models

Modified on: 2026-07-23
This version:
https://portal.mardi4nfdi.de/wiki//2.0.0
Revision:
2.0.0
Issued on:
2026-07-23
Authors:
Aurela Shehu (https://orcid.org/0000-0002-1994-0612), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)
Björn Schembera (https://orcid.org/0000-0003-2860-6621), Universität Stuttgart (https://ror.org/04vnq7t77, https://isni.org/isni/0000000419369713)
Burkhard Schmidt (https://orcid.org/0000-0002-9658-499X), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)
Christine Biedinger (https://orcid.org/0009-0002-5082-8386), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)
Jochen Fiedler (https://orcid.org/0000-0002-9176-780X), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)
Marco Reidelbach (https://orcid.org/0000-0002-1919-1834), Zuse Institute Berlin (https://ror.org/02eva5865, https://isni.org/isni/000000011010926X)
Thomas Koprucki (https://orcid.org/0000-0001-6235-9412), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)
Publisher:
Mathematical Research Data Initiative (MaRDI, https://www.mardi4nfdi.de)
See also:
https://doi.org/10.1007/978-3-031-65990-4_14
https://doi.org/10.1007/978-3-031-81974-2_8
https://doi.org/10.52825/cordi.v1i.255
Download serialization:
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License:
https://creativecommons.org/licenses/by/4.0/
Visualization:
Visualize with WebVowl
Cite as:
Shehu, A., Schembera, B., Schmidt, B., Biedinger, C., Fiedler, J., Reidelbach, M., Koprucki, T. (2025): MathModDB Ontology and Knowledge Graph for Mathematical Models
Provenance of this page
Ontology Specification Draft

Abstract

MathModDB is a database of mathematical models developed by the Mathematical Research Data Initiative (MaRDI). It defines a data model with classes (Mathematical Model, Mathematical Formulation, Academic Discipline, Research Problem, Quantity [Kind], Computational Task, Publication), object properties/relations, data properties and annotation properties as an ontology. This ontology is populated with individuals/data from various fields of applied mathematics, making it a knowledge graph. This is a snapshot of MathModDB. The current version is maintained on the MaRDI Portal.

Introduction back to ToC

Motivation & Introduction

Proper documentation and storage of research data, adhering to FAIR principles, are crucial for reproducibility and scientific integrity. Applied mathematics, producing diverse numerical and symbolic data, heavily relies on models that must be well-documented for replication and future use. Here, we present MathModDB, an ontology for mathematical models, along with a knowledge graph containing over 1200 elements. The work is conducted within the NFDI project entitled Mathematical Research Data Initiative (MaRDI).
This version is also the basis for the integration of the model data into the MaRDI Portal. The portal version now supersedes this version in terms of the data items and can be found on https://portal.mardi4nfdi.de/wiki/MathModDB

Structure

The ontology consists of the classes Mathematical Model, Mathematical Formulation, Computational Task, Quantity [Kind], Research Field and Research Problem. The structure of the ontology, in conjunction with the neighboring knowledge graph for mathematical algorithms MathAlgoDB is displayed in the image below:

Structure of the MathModDB ontology

The classes have the following semantics:
Mathematical Model A mathematical model for describing a part of the reality by means of abstraction and simplifying assumptions. The aim of modeling is to make a particular part or feature of the world easier to simulate, interpret and/or optimize based on existing knowledge.
Academic Dicipline An academic discipline (or field of research), e.g. Arts & Humanities, Life Sciences & Biomedicine, Physical & Natural Sciences or Engineering.
Research Problem A research problem (or research question) to be investigated, typically from a scientific or engineering application, i.e. a specific issue or gap in existing knowledge that you aim to address in your research.
Mathematical Formulation Typically, a mathematical formulation is based on equations (general construct indicating equality of quantities) or on inequalities (non-equal relations between quantities), or a logic quantifier
Quantity A quantity is a property of a system that can be measured or obtained from calculation/simulation. Can be a scalar, a vector, a matrix or a higher-order tensor. The overarching, abstract quantity in the QuantityKind class should be referenced if possible/applicable.
Quantity Kind The kind of quantity, e.g. the abstract, generalized concept of a quantity. Typically, it could be chosen from an established, controlled vocabulary of quantityKinds, such as QUDT, IEC, .... Note that the kind of a quantity cannot be generalized by another (kind of a) quantity.
Computational Task A specific computational task associated with a mathematical model. Typically, various tasks differ from each other by the choice of given quantities (input), unknown quantities (output), parameters or constants as well as boundary conditions, initial conditions and/or final conditions.
Publication A publication that reports original empirical and theoretical work in the sciences. This class is used as a proxy class to encode semantic information how a model, quantity, ... is surveyed, analysed, ... in a publication.

MathModDB Ontology: Overview back to ToC

This ontology has the following classes and properties.

Classes

Data Properties

Annotation Properties

Named Individuals

MathModDB Ontology: Description back to ToC

This is the MathModDB Ontology for documenting mathematical models.

Cross-reference for MathModDB Ontology classes, object properties and data properties back to ToC

This section provides details for each class and property defined by MathModDB Ontology.

Classes

computational taskc back to ToC or Class ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534247

has members
H2 optimal approximation ni, H2 optimal approximation (bi-linear) ni, H2 optimal approximation (linear) ni, Romanization parameter estimation ni, Romanization time evolution ni, SPECT known attenuation ni, SPECT unknown attenuation ni, adjustment of nitrogen uptake to crop demand ni, aggregation of soil nitrogen supply ni, approximate predictive distribution ni, balanced truncation ni, balanced truncation (bi-linear) ni, balanced truncation (linear) ni, calculation of deformation and concentration ni, classical time evolution ni, computation of above-ground biomass ni, computation of actual plant water use rate in soil layer ni, computation of crop economic yield ni, computation of crop height ni, computation of crop nitrogen demand ni, computation of crop phenological development stage ni, computation of crop phosphorus demand ni, computation of cumulative potential plant water use ni, computation of daily nitrogen fixation ni, computation of daylength ni, computation of fixation growth stage factor ni, computation of fixation soil nitrate factor ni, computation of fixation soil water factor ni, computation of harvest index development ni, computation of harvest index heat unit factor ni, computation of intercepted photosynthetically active radiation ni, computation of leaf area index dynamics ni, computation of nitrogen fixation fraction ni, computation of potential crop biomass growth ni, computation of potential plant evaporation rate ni, computation of potential plant water use rate in soil layer ni, computation of root biomass allocation ni, computation of root biomass distribution ni, computation of rooting depth ni, computation of soil nitrogen supply by mass flow ni, computation of soil phosphorus supply ni, compute predictive distribution ni, control system time evolution ni, control system time evolution (bi-linear) ni, control system time evolution (linear) ni, denoising for improved parametric MRI of the kidney ni, determine amplitude of a pendulum (small angle, damped, driven) ni, determine frequency of a pendulum ni, determine frequency of a pendulum (small angle) ni, determine frequency of a pendulum (small angle, damped) ni, determine length of a pendulum (small angle) ni, determine period of a pendulum ni, determine period of a pendulum (small angle) ni, determine resonance of a pendulum (small angle, damped, driven) ni, determine trajectory of a pendulum ni, evaluation of biokinetic parameters ni, evaluation of biokinetic parameters ni, extract logical rules ni, far field radiation ni, fluid Poisson model: determine particle densities ni, free fall determine gravitation ni, free fall determine time ni, free fall determine velocity ni, heavy particle propagation ni, heavy particle velocity adjustment ni, light particle nonadiabatic transitions ni, light particle propagation ni, linear parameter estimation (Elovich isotherm) ni, linear parameter estimation (Flory-Huggins model) ni, linear parameter estimation (Fowler-Guggenheim isotherm model) ni, linear parameter estimation (Freundlich isotherm) ni, linear parameter estimation (Henry's isotherm) ni, linear parameter estimation (Hill-de Boer model) ni, linear parameter estimation (Kiselev model) ni, linear parameter estimation (Langmuir adsorption model) ni, linear parameter estimation (Temkin isotherm model) ni, linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - irreversibility assumption) ni, linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - rapid equilibrium assumption) ni, linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product - Hanes Woolf model - irreversibility assumption) ni, linear parameter estimation (uni uni reaction without product - Hanes Woolf model - rapid equilibrium assumption) ni, linear parameter estimation (uni uni reaction without product - Hanes Woolf model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - irreversibility assumption) ni, linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - rapid equilibrium assumption) ni, linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Dixon model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Eadie Hofstee model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Hanes Woolf model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Lineweaver Burk model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Dixon model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Eadie Hofstee model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Hanes Woolf model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Lineweaver Burk model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Dixon model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Eadie Hofstee model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Hanes Woolf model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Lineweaver Burk model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Dixon model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Eadie Hofstee model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Hanes Woolf model - steady state assumption) ni, linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Lineweaver Burk model - steady state assumption) ni, linear parameter estimation of enzyme kinetics ni, mathematical analysis of DHW equation ni, maximizing Poisson log-likelihood ni, maximum likelihood estimation ni, model order reduction ni, near field radiation ni, nonlinear parameter estimation (Andrews model) ni, nonlinear parameter estimation (Baudu model) ni, nonlinear parameter estimation (Dubinin-Radushkevich model) ni, nonlinear parameter estimation (Dubinin–Astakhov model) ni, nonlinear parameter estimation (Elovich isotherm) ni, nonlinear parameter estimation (Emax model) ni, nonlinear parameter estimation (Flory-Huggins model) ni, nonlinear parameter estimation (Fowler-Guggenheim isotherm model) ni, nonlinear parameter estimation (Fritz-Schlunder 3-parameter model) ni, nonlinear parameter estimation (Fritz-Schlunder 4-parameter model) ni, nonlinear parameter estimation (Fritz-Schlunder 5-parameter model) ni, nonlinear parameter estimation (Frumkin model) ni, nonlinear parameter estimation (Hill adsorption model) ni, nonlinear parameter estimation (Hill binding model) ni, nonlinear parameter estimation (Hill dose-response model) ni, nonlinear parameter estimation (Hill enzyme kinetics model) ni, nonlinear parameter estimation (Hill-de Boer model) ni, nonlinear parameter estimation (Jossens model) ni, nonlinear parameter estimation (Jovanovic model) ni, nonlinear parameter estimation (Jovanovic multilayer model) ni, nonlinear parameter estimation (Khan model) ni, nonlinear parameter estimation (Kiselev model) ni, nonlinear parameter estimation (Koble-Corrigan model) ni, nonlinear parameter estimation (Langmuir adsorption model) ni, nonlinear parameter estimation (Monod equation) ni, nonlinear parameter estimation (Radke-Prausnitz model) ni, nonlinear parameter estimation (Redlich-Peterson model) ni, nonlinear parameter estimation (Sips model) ni, nonlinear parameter estimation (Temkin isotherm model) ni, nonlinear parameter estimation (Toth model) ni, nonlinear parameter estimation (UNILAN model) ni, nonlinear parameter estimation (Volmer model) ni, nonlinear parameter estimation (Weber-van Vliet model) ni, nonlinear parameter estimation (uni uni reaction with product - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - irreversibility assumption) ni, nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - rapid equilibrium assumption) ni, nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product and competitive complete inhibition - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product and competitive partial inhibition - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product and mixed complete inhibition - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product and mixed partial inhibition - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product and non-competitive partial inhibition - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation (uni uni reaction without product and uncompetitive partial inhibition - Michaelis Menten model - steady state assumption) ni, nonlinear parameter estimation of enzyme kinetics ni, optimal control ni, parameter estimation of enzyme kinetics ni, plate with a hole: analytical solution ni, plate with a hole: finite element discretization ni, plate with a hole: parameter determination ni, plate with a hole: solve variational discretized problem ni, postprocessing (comparing stress) ni, quantum conditional quasi-solvability ni, quantum stationary states ni, quantum time evolution ni, rotating cylinders task: velocity and pressure ni, semiconductor charge neutrality ni, semiconductor current voltage ni, semiconductor thermodynamic equilibrium ni, sensitivity analysis of complex kinetic systems ni, simulation of TEM images ni, simulation of complex kinetic systems ni, solve cost minimizing line planning problem ni, sorting objects ni, symmetry analysis in TEM images ni

formulac back to ToC or Class ToC

IRI: https://portal.mardi4nfdi.de/entity/Q96183

has members
Allee effect ni, Ampère's circuital law ni, Andrews specific growth rate equation ni, Baudu adsorption equation ni, Baudu concentration-dependent affinity formulation ni, Baudu concentration-dependent capacity formulation ni, Baudu denominator exponent constraint ni, Baudu numerator exponent constraint ni, Beavers–Joseph-Saffman condition ni, Boltzmann approximation for electrons ni, Boltzmann approximation for holes ni, Boltzmann equation ni, Boltzmann equation for moving particles ni, Boltzmann equation for moving particles (time continuous) ni, Boltzmann equation for moving particles (time continuous, no scatter assumption) ni, Brownian equation ni, CT measurement equation (no scatter) ni, Cauchy momentum equation ni, Cauchy momentum equation: elastostatic limit, no body forces ni, Cauchy momentum equation: weak formulation ni, Cauchy momentum equation: weak formulation, discretized ni, Coulomb friction condition between two particles ni, Darcy equation (Euler backward) ni, Darcy equation (finite volume) ni, Darcy's law ni, Darwin-Howie-Whelan equation for a strained crystal ni, Darwin-Howie-Whelan equation for an unstrained crystal ni, Dirichlet boundary condition ni, Dirichlet boundary condition for electric potential ni, Dirichlet boundary condition for quasi-Fermi potential for electrons ni, Dirichlet boundary condition for quasi-Fermi potential for holes ni, Dirichlet boundary condition in thermodynamic equilibrium ni, Dixon equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni, Dixon equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni, Dixon equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni, Dixon equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni, Dubinin-Astakhov equation ni, Dubinin-Astakhov heterogeneity exponent assumption ni, Dubinin-Astakhov heterogeneity exponent constraint ni, Dubinin-Radushkevich equation ni, ET measurement equation (no scatter, no attenuation) ni, ET measurement equation (no scatter, with attenuation) ni, Eadie Hofstee equation (uni uni reaction without product - steady state assumption) ni, Eadie Hofstee equation (uni uni reaction without product - irreversibility assumption) ni, Eadie Hofstee equation (uni uni reaction without product - rapid equilibrium assumption) ni, Eadie Hofstee equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni, Eadie Hofstee equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni, Eadie Hofstee equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni, Eadie Hofstee equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni, Elovich isotherm equation ni, Emax equation ni, Euler forward method ni, Euler method ni, Faraday's law of induction ni, Fick equation ni, Flory-Huggins equation ni, Fokker-Planck equation ni, Fourier's law of heat conduction ni, Fowler-Guggenheim equation ni, Freundlich equation ni, Freundlich equation (linearized) ni, Fritz-Schlunder 3-parameter equation ni, Fritz-Schlunder 4-parameter equation ni, Fritz-Schlunder 5-parameter equation ni, Fritz-Schlunder exponents assumption ni, Fritz-Schlunder exponents constraint ni, Frumkin adsorption equation ni, G-protein activation ni, Gamma-Gompertz–Makeham law ni, Gauss's law ni, Gauss's law for magnetism ni, Gompertz distribution ni, Gompertz–Makeham law of mortality ni, Hamilton's equations ni, Hanes Woolf equation (uni uni reaction without product - steady state assumption) ni, Hanes Woolf equation (uni uni reaction without product - irreversibility assumption) ni, Hanes Woolf equation (uni uni reaction without product - rapid equilibrium assumption) ni, Hanes Woolf equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni, Hanes Woolf equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni, Hanes Woolf equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni, Hanes Woolf equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni, Henry adsorption equation ni, Henry limit assumption ni, Hill dose-response equation ni, Hill equation ni, Hill isotherm equation ni, Hill velocity equation ni, Hill-de Boer equation ni, Hill-type two-muscle-one-tendon ODE system ni, Homogeneous Neumann Boundary Conditions ni, Hooke's law ni, Hooke's law (linear elasticity) ni, Hooke's law (spring) ni, Jossens heterogeneity exponent constraint ni, Jossens isotherm equation ni, Jovanovic equation ni, Khan heterogeneity exponent assumption ni, Khan heterogeneity exponent constraint ni, Khan isotherm equation ni, Kirsch equations ni, Kiselev equation ni, Koble-Corrigan heterogeneity exponent assumption ni, Koble-Corrigan heterogeneity exponent constraint ni, Koble-Corrigan isotherm equation ni, Langevin equation ni, Langmuir equation ni, Langmuir limit assumption ni, Laplace equation for the electric potential ni, Lindblad equation ni, Lineweaver Burk equation (uni uni reaction without product - steady state assumption) ni, Lineweaver Burk equation (uni uni reaction without product - irreversibility assumption) ni, Lineweaver Burk equation (uni uni reaction without product - rapid equilibrium assumption) ni, Lineweaver Burk equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni, Lineweaver Burk equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni, Lineweaver Burk equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni, Lineweaver Burk equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni, Liouville equation ni, Lorentz force ni, Lorentz force equation (relativistic) ni, Lyapunov equation ni, Lyapunov equation controllability ni, Lyapunov equation observability ni, Lyapunov generalized controllability ni, Lyapunov generalized observability ni, Michaelis Menten equation (bi bi reaction Theorell-Chance with product 1 - Michaelis Menten model - steady state assumption) ni, Michaelis Menten equation (bi bi reaction Theorell-Chance with product 2 - Michaelis Menten model - steady state assumption) ni, Michaelis Menten equation (bi bi reaction Theorell-Chance with products 1 and 2 - Michaelis Menten model - steady state assumption) ni, Michaelis Menten equation (bi bi reaction Theorell-Chance without products - Michaelis Menten model - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ordered with product 1 - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ordered with product 1 and single central complex - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ordered with product 2 - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ordered with product 2 and single central complex - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ordered with products 1 and 2 - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ordered with products 1 and 2 and single central complex - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ordered without products - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ordered without products and single central complex - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ping pong with product 1 - Michaelis Menten model - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ping pong with product 2 - Michaelis Menten model - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ping pong with products 1 and 2 - Michaelis Menten model - steady state assumption) ni, Michaelis Menten equation (bi bi reaction ping pong without products - Michaelis Menten model - steady state assumption) ni, Michaelis Menten equation (uni uni reaction with product - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product - irreversibility assumption) ni, Michaelis Menten equation (uni uni reaction without product - rapid equilibrium assumption) ni, Michaelis Menten equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product and competitive partial inhibition - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product and mixed partial inhibition - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product and non-competitive partial inhibition - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni, Michaelis Menten equation (uni uni reaction without product and uncompetitive partial inhibition - steady state assumption) ni, Michaelis constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, Michaelis constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni, Michaelis constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, Michaelis constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, Michaelis constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni, Michaelis constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, Michaelis constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, Michaelis constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, Michaelis constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, Michaelis constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, Monod specific growth rate equation ni, Navier-Stokes equations ni, Neumann boundary condition ni, Neumann boundary condition (SEIR model) ni, Neumann boundary condition (stress-free relaxation) ni, Neumann boundary condition for electric potential ni, Neumann boundary condition for electron Fermi potential ni, Neumann boundary condition for hole Fermi potential ni, Neumann boundary condition in thermodynamic equilibrium ni, Newton second law of motion for constant mass ni, Ohm's law ni, Poisson equation for the electric potential (finite volume) ni, Poisson log-likelihood ni, Poisson's equation ni, Poisson's equation for the electric potential ni, Poisson's equation for the electric potential (semiconductors) ni, Poisson's equation for the electric potential: weak formulation ni, Poisson-distributed deaths ni, Radke-Prausnitz equation ni, Radke-Prausnitz exponent assumption ni, Radke-Prausnitz exponent constraint ni, Redlich-Peterson equation ni, Redlich-Peterson exponent constraint ni, Robin boundary condition ni, Robin boundary condition for particle flux ni, Runge–Kutta method ni, SEIR derivative relation ni, Sips equation ni, Stokes Darcy equation (discretized, pv) ni, Stokes Darcy equation (discretized, td) ni, Stokes equation ni, Stokes equation (Euler backward) ni, Stokes equation (finite volume) ni, Sylvester equation ni, Sylvester equation controllability ni, Sylvester equation observability ni, Sylvester generalized controllability ni, Sylvester generalized observability ni, Temkin isotherm equation ni, Toth heterogeneity exponent assumption ni, Toth heterogeneity exponent constraint ni, Toth isotherm equation ni, UNILAN equation ni, UNILAN heterogeneity parameter assumption ni, UNILAN heterogeneity parameter constraint ni, Verlet integration ni, Volmer equation ni, Weber-van Vliet equation ni, a produced in first compartment ni, above-ground biomass equation ni, actual plant water use rate in soil layer equation ni, adjusted nitrogen supply rate in soil layer constraint ni, adjusted nitrogen uptake equation ni, analytical solution ni, anharmonicity constant (perturbation theory) ni, attraction dominates repulsion assumption ni, attraction force at opinion formulation ni, average opinion of followers of infuencers formulation ni, average opinion of followers of infuencers in the partial mean field model formulation ni, average opinion of followers of media formulation ni, average opinion of followers of media in the partial mean field model formulation ni, backward Euler method ni, balancing transformation ni, bi bi reaction Theorell-Chance mechanism ODE system ni, bi bi reaction ordered mechanism ODE system ni, bi bi reaction ordered mechanism with single central complex ODE system ni, bi bi reaction ping pong mechanism ODE system ni, biomass kinetic equation (Haldane) ni, biomass kinetic equation (Monod) ni, biomass-substrate kinetic equations (Haldane) ni, biomass-substrate kinetic equations (Monod) ni, boundary conditions of electrophysiological muscle ODE system ni, change in opinions of individuals ni, change in opinions of influencers ni, change in opinions of influencers in the partial mean field model ni, change in opinions of media ni, change in opinions of media in the partial mean field model ni, classical approximation ni, closed system approximation ni, condition for positive solutions in the SIR model ni, condition for positive solutions in the SIR model with births and deaths ni, condition for positive solutions in the SIS model ni, condition for positive solutions in the SIS model with births and deaths ni, condition for positive solutions in the multi-population SI model ni, condition for positive solutions in the multi-population SIR model ni, condition for positive solutions in the multi-population SIS model ni, condition to keep susceptibles positive ni, conservation law ni, conservation of city numbers ni, constant population size ni, constitutive equation ni, contact network constraint ni, continuity equation ni, continuity equation ni, continuity equation for electron energy ni, continuity equation for electron energy: weak formulation ni, continuity equation for electrons ni, continuity equation for electrons (finite volume) ni, continuity equation for holes ni, continuity equation for holes (finite volume) ni, continuity equation: weak formulation ni, continuity of densities condition ni, continuity of fluxes condition ni, continuity of the normal mass flux ni, continuity of the normal stresses ni, continuum approximation ni, control system initial (reduced) ni, control system input bilinear ni, control system input bilinear (reduced) ni, control system input linear ni, control system input linear (reduced) ni, control system output linear ni, control system output linear (reduced) ni, control system output quadratic ni, control system output quadratic (reduced) ni, convolution between interaction force and density formulation ni, coupling condition ni, creeping flow assumption ni, crop economic yield equation ni, crop height equation ni, crop nitrogen demand equation ni, crop phosphorus demand equation ni, cumulative potential plant water use equation ni, current density relation for electrons ni, current density relation for holes ni, daily nitrogen fixation constraint ni, daily nitrogen fixation equation ni, daylength calculation equation ni, decomposition of population density fractions in the ODE region into spatially constant and fluctuating part ni, degradation of internalised receptor ni, degradation of the reaction partner ni, detailed balance ni, deterministic reaction system equation ni, dissociation into α- and βγ-subunits ni, electron energy flux (drift-diffusion) ni, electrophysiological muscle ODE system ni, empirical distribution of individuals formulation ni, enzyme - product 1 - complex concentration ODE (bi bi reaction ordered with single central complex) ni, enzyme - product 1 - complex concentration ODE (bi bi reaction ordered) ni, enzyme - product 1 - product 2 - complex concentration ODE (bi bi reaction ordered) ni, enzyme - product 2 - complex concentration ODE (bi bi reaction Theorell-Chance) ni, enzyme - substrate - complex concentration ODE (uni uni reaction) ni, enzyme - substrate 1 - complex concentration ODE (bi bi reaction Theorell-Chance) ni, enzyme - substrate 1 - complex concentration ODE (bi bi reaction ordered with single central complex) ni, enzyme - substrate 1 - complex concentration ODE (bi bi reaction ordered) ni, enzyme - substrate 1 - complex concentration ODE (bi bi reaction ping pong) ni, enzyme - substrate 1 - substrate 2 - complex concentration ODE (bi bi reaction ordered) ni, enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 - complex concentration ODE (bi bi reaction ordered with single central complex) ni, enzyme concentration ODE (bi bi reaction Theorell-Chance) ni, enzyme concentration ODE (bi bi reaction ordered with single central complex) ni, enzyme concentration ODE (bi bi reaction ordered) ni, enzyme concentration ODE (bi bi reaction ping pong) ni, enzyme concentration ODE (uni uni reaction) ni, enzyme conservation ni, equilibrium constant (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, equilibrium constant (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni, equilibrium constant (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, evolution of the concentration of particles PDE ni, evolution of the concentration of particles SPDE ni, evolution of the position of a particle SDE ni, excess substrate assumption ni, final condition ni, finite element method ni, finite volume method ni, fixation growth stage equation ni, fixation soil nitrate equation ni, fixation soil water equation ni, fluctuating parts of population density fractions approximately zero ni, fraction of population density of exposed formulation ni, fraction of population density of infectious formulation ni, fraction of population density of susceptibles formulation ni, free fall equation (air drag) ni, free fall equation (air drag, phase space) ni, free fall equation (vacuum) ni, free fall equation (vacuum, phase space) ni, free fall initial condition ni, free fall initial condition (phase space) ni, free fall solution (air drag) ni, free fall solution (non-uniform gravitation) ni, free fall solution (vacuum) ni, generalized Poisson distribution ni, generalized compartment reaction ni, generalized steady state equations ni, good rooting environment assumption ni, governing equation ni, harvest index accumulation equation ni, harvest index heat unit factor equation ni, heat unit accumulation equation ni, heat unit factor equation ni, heat unit index equation ni, heavy particle Newton equation ni, high solute concentration in equilibrium assumption ni, homogeneous binding sites assumption ni, hydrolysis of GTP ni, infectious at time step n+1 in the SI model ni, infectious at time step n+1 in the SIR model ni, infectious at time step n+1 in the SIR model with births and deaths ni, infectious at time step n+1 in the SIS model ni, infectious at time step n+1 in the SIS model with births and deaths ni, infectious at time step n+1 in the multi-population SI model ni, infectious at time step n+1 in the multi-population SIR model ni, infectious at time step n+1 in the multi-population SIS model ni, inhibition constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, inhibition constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni, inhibition constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, inhibition constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, inhibition constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni, inhibition constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, inhibition constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, inhibition constant substrate 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni, inhibition constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, inhibition constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni, inhibition constant substrate 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni, inhibition constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni, inhibition of membrane calcium channel ni, initial condition for classical density ni, initial condition for control state ni, initial condition for electron scattering ni, initial condition for momentum ni, initial condition for position ni, initial condition for quantum density ni, initial condition for quantum state ni, initial condition for the continuous SI model and SIS model ni, initial condition for the continuous SIR model ni, initial condition for the discrete SI model ni, initial condition for the discrete SIR model with and without births and deaths ni, initial condition for the multi-population SI model ni, initial condition for the multi-population SIR model ni, initial condition for the multi-population SIS model ni, initial condition for velocity ni, initial enzyme - product 1 - complex concentration (bi bi reaction ordered - ODE model) ni, initial enzyme - product 1 - product 2 - complex concentration (bi bi reaction ordered - ODE model) ni, initial enzyme - product 2 - complex concentration (bi bi reaction Theorell-Chance - ODE model) ni, initial enzyme - substrate - complex concentration (uni uni reaction - ODE model) ni, initial enzyme - substrate 1 - complex concentration (bi bi reaction Theorell-Chance - ODE model) ni, initial enzyme - substrate 1 - complex concentration (bi bi reaction ordered - ODE model) ni, initial enzyme - substrate 1 - complex concentration (bi bi reaction ping pong - ODE model) ni, initial enzyme - substrate 1 - substrate 2 - complex concentration (bi bi reaction ordered - ODE model) ni, initial enzyme - substrate 1 - substrate 2 = enzyme product 1 - product 2 - complex concentration (bi bi reaction ordered with single central compelx - ODE model) ni, initial enzyme concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni, initial enzyme concentration (bi bi reaction Theorell-Chance - ODE model) ni, initial enzyme concentration (bi bi reaction ordered - Michaelis Menten model) ni, initial enzyme concentration (bi bi reaction ordered - ODE model) ni, initial enzyme concentration (bi bi reaction ping pong - Michaelis Menten model) ni, initial enzyme concentration (bi bi reaction ping pong - ODE model) ni, initial enzyme concentration (uni uni reaction - Michaelis Menten model) ni, initial enzyme concentration (uni uni reaction - ODE model) ni, initial inhibitor concentration (uni uni reaction) ni, initial intermediate - substrate 2 - complex concentration (bi bi reaction ping pong - ODE model) ni, initial intermediate concentration (bi bi reaction ping pong - ODE model) ni, initial number of SEIR condition ni, initial number of infected cities ni, initial product 1 concentration (bi bi reaction Theorell-Chance - ODE model) ni, initial product 1 concentration (bi bi reaction Theorell-Chance with product 1 - Michaelis Menten model) ni, initial product 1 concentration (bi bi reaction Theorell-Chance without product 1 - Michaelis Menten model) ni, initial product 1 concentration (bi bi reaction ordered - ODE model) ni, initial product 1 concentration (bi bi reaction ordered with product 1 - Michaelis Menten model) ni, initial product 1 concentration (bi bi reaction ordered without product 1 - Michaelis Menten model) ni, initial product 1 concentration (bi bi reaction ping pong - ODE model) ni, initial product 1 concentration (bi bi reaction ping pong with product 1 - Michaelis Menten model) ni, initial product 1 concentration (bi bi reaction ping pong without product 1 - Michaelis Menten model) ni, initial product 2 concentration (bi bi reaction Theorell-Chance - ODE model) ni, initial product 2 concentration (bi bi reaction Theorell-Chance with product 2 - Michaelis Menten model) ni, initial product 2 concentration (bi bi reaction Theorell-Chance without product 2 - Michaelis Menten model) ni, initial product 2 concentration (bi bi reaction ordered - ODE model) ni, initial product 2 concentration (bi bi reaction ordered with product 2 - Michaelis Menten model) ni, initial product 2 concentration (bi bi reaction ordered without product 2 - Michaelis Menten model) ni, initial product 2 concentration (bi bi reaction ping pong - Michaelis Menten model) ni, initial product 2 concentration (bi bi reaction ping pong - ODE model) ni, initial product 2 concentration (bi bi reaction ping pong with product 2 - Michaelis Menten model) ni, initial product 2 concentration (bi bi reaction ping pong without product 2 - Michaelis Menten model) ni, initial product concentration (uni uni reaction - ODE model) ni, initial product concentration (uni uni reaction with product) ni, initial product concentration (uni uni reaction without product) ni, initial substrate 1 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni, initial substrate 1 concentration (bi bi reaction Theorell-Chance - ODE model) ni, initial substrate 1 concentration (bi bi reaction ordered - Michaelis Menten model) ni, initial substrate 1 concentration (bi bi reaction ordered - ODE model) ni, initial substrate 1 concentration (bi bi reaction ping pong - Michaelis Menten model) ni, initial substrate 1 concentration (bi bi reaction ping pong - ODE model) ni, initial substrate 2 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni, initial substrate 2 concentration (bi bi reaction Theorell-Chance - ODE model) ni, initial substrate 2 concentration (bi bi reaction ordered - Michaelis Menten model) ni, initial substrate 2 concentration (bi bi reaction ordered - ODE model) ni, initial substrate 2 concentration (bi bi reaction ping pong - Michaelis Menten model) ni, initial substrate 2 concentration (bi bi reaction ping pong - ODE model) ni, initial substrate concentration (uni uni reaction - ODE model) ni, initial substrate concentration (uni uni reaction) ni, integer problem line planning costs ni, integral of the population density fraction of exposed (initial condition) ni, integral of the population density fraction of infectious (initial condition) ni, integral of the population density fraction of susceptibles (initial condition) ni, integral of the total population density (initial condition) ni, interaction force on an individual ni, interaction potential formulation ni, interaction weight between individuals ni, intermediate - substrate 2 - complex concentration ODE (bi bi reaction ping pong) ni, intermediate concentration ODE (bi bi reaction ping pong) ni, internalisation of receptor–ligand complex ni, internalised receptor recycled to the cell membrane ni, irreversibility assumption ni, isosteric heat at zero coverage formulation (Jossens) ni, isotropic Gaussian function formulation ni, jump in the system state ni, known constant mean value assumption ni, labile phosphorus uptake factor equation ni, law of mass action ni, leaf area index equation ni, leapfrog integration ni, left boundary for plate with a hole ni, light particle TDSE ni, light particle TISE ni, light particle nonadiabatic criterion 1 ni, light particle nonadiabatic criterion 2 ni, limiting distribution of individuals formulation ni, limiting reaction rate backward (bi bi reaction Theorell-Chance) ni, limiting reaction rate backward (bi bi reaction ping pong) ni, limiting reaction rate forward (bi bi reaction Theorell-Chance) ni, limiting reaction rate forward (bi bi reaction ping pong) ni, line concept costs ni, line costs computation ni, linear Elovich isotherm equation ni, linear Flory-Huggins equation ni, linear Fowler-Guggenheim equation ni, linear Hill-de Boer equation ni, linear Kiselev equation ni, linear Langmuir equation ni, linear Temkin isotherm equation ni, local approximation ni, local charge-neutrality condition in semiconductors ni, logical rule extraction formulation ni, loss function minimization ni, low multilayer adsorption constant assumption ni, low solute concentration in equilibrium assumption ni, low surface coverage assumption ni, lower boundary for plate with a hole ni, mass balance ni, mathematical pendulum (initial condition) ni, mathematical pendulum equation ni, mathematical pendulum equation (small angle) ni, mathematical pendulum equation (small angle, damped) ni, mathematical pendulum equation (small angle, damped, driven) ni, mathematical pendulum frequency ni, mathematical pendulum frequency (small angle) ni, mathematical pendulum frequency (small angle, damped) ni, mathematical pendulum length (small angle) ni, mathematical pendulum period ni, mathematical pendulum period (small angle) ni, mathematical pendulum solution (small angle) ni, mathematical pendulum solution (small angle, damped) ni, mathematical pendulum solution (small angle, damped, driven) ni, mixed enzyme inhibition coupling condition (uni uni reaction) ni, molecular alignment ni, molecular orientation ni, momentum balance equation ni, monodomain equation for action potential propagation ni, motor neuron pool ODE system ni, multi grid reaction diffusion master equation ni, multilayer Jovanovic equation ni, nitrogen fixation fraction equation ni, nitrogen supply by mass flow equation ni, no cooperativity assumption ni, non-competitive enzyme inhibition coupling condition (uni uni reaction) ni, non-inhibiting substrate assumption ni, non-local means ni, nonlinear Poisson equation (Boltzmann approximation) ni, nonrelativistic approximation ni, normal distribution equation ni, normal interaction force equation between two particles ni, number of exposed individuals formulation ni, number of individuals tends to infinity assumption ni, number of susceptible individuals formulation ni, object cluster formulation ni, object committor function formulation ni, object commonality formulation ni, object comparison formulation ni, object rating formulation ni, object rating matrix decomposition (Schur) ni, operational costs of a line concept ni, optimal control backward ni, optimal control constraint ni, optimal control final ni, optimal control forward ni, optimal control initial ni, optimal control update ni, optimal plant nitrogen concentration equation ni, optimal plant phosphorus concentration equation ni, outer boundary for plate with a hole ni, overall distribution of individuals formulation ni, pair function assumption ni, particle flux (drift-diffusion) ni, particle movement on a line ni, particle movement on a line (no attenuation) ni, particle source and sink equation ni, periodic boundary condition for electric potential ni, periodic boundary conditions ni, physical law ni, pickaback integrator for quantum-classical dynamics ni, plane stress ni, plane stress condition ni, plate with a hole: geometry ni, poor rooting environment assumption ni, poro-visco-elastic (Dirichlet boundary) ni, poro-visco-elastic (Neumann boundary) ni, poro-visco-elastic diffusion boundary condition ni, poro-visco-elastic diffusion equation ni, poro-visco-elastic quasistatic equation ni, positron emission tomography equation ni, potential biomass accumulation equation ni, potential biomass growth equation ni, potential crop water use rate in soil layer equation (no compensation) ni, potential crop water use rate in soil layer equation (partial compensation) ni, potential crop water use rate in soil layer equation (total compensation) ni, potential leaf area development equation ni, potential plant evaporation rate constraint ni, potential plant evaporation rate equation ni, product 1 concentration ODE (bi bi reaction Theorell-Chance) ni, product 1 concentration ODE (bi bi reaction ordered with single central complex) ni, product 1 concentration ODE (bi bi reaction ordered) ni, product 1 concentration ODE (bi bi reaction ping pong) ni, product 2 concentration ODE (bi bi reaction Theorell-Chance) ni, product 2 concentration ODE (bi bi reaction ordered with single central complex) ni, product 2 concentration ODE (bi bi reaction ordered) ni, product 2 concentration ODE (bi bi reaction ping pong) ni, product concentration ODE (uni uni reaction) ni, product of Poisson distributions ni, product of Poisson distributions from the mgRDME ni, public transport network ni, quantum eigen energy (anharmonic) ni, quantum eigen energy (harmonic) ni, quantum eigen energy (intermolecular) ni, quantum eigen energy (linear non-rigid rotor) ni, quantum eigen energy (linear rigid rotor) ni, quantum-classical mass separation ni, radiation interception equation ni, rapid equilibrium assumption ni, rate equation ni, rate of change of infectious in the SI model ni, rate of change of infectious in the SIR model ni, rate of change of infectious in the SIS model ni, rate of change of population density fraction of exposed PDE ni, rate of change of population density fraction of exposed mean ODE ni, rate of change of population density fraction of infectious PDE ni, rate of change of population density fraction of infectious mean ODE ni, rate of change of population density fraction of removed PDE ni, rate of change of population density fraction of removed mean ODE ni, rate of change of population density fraction of susceptibles PDE ni, rate of change of population density fraction of susceptibles mean ODE ni, rate of change of removed in the SIR model ni, rate of change of susceptibles in the SI model ni, rate of change of susceptibles in the SIR model ni, rate of change of susceptibles in the SIS model ni, rate of switching influencers formulation ni, reaction diffusion master equation ni, reaction diffusion system ni, receptor–ligand complex creation ni, reformation of G-protein complex and opening of calcium channel ni, removed at time step n+1 in the discrete SIR model ni, removed at time step n+1 in the discrete SIR model with births and deaths ni, removed at time step n+1 in the multi-population discrete SIR model ni, root biomass distribution equation ni, root biomass partitioning equation ni, root weight in soil layer accumulation equation ni, rooting depth constraint ni, rooting depth equation ni, rotating cylinders domain ni, rotating cylinders inner wall ni, rotating cylinders outer wall ni, rotating cylinders pressure field ni, rotating cylinders velocity field ni, second condition for positive solutions in the SIR model with births and deaths ni, second condition for positive solutions in the SIS model ni, second condition for positive solutions in the SIS model with births and deaths ni, second condition for positive solutions in the multi population SIS model ni, second order differencing method ni, second-moment stochastic process specification ni, sensory organ equation ni, simulation behavior prediction formulation ni, simulation behavior prediction global formulation ni, simulation behavior prediction local formulation ni, small angle approximation ni, soil phosphorus supply equation ni, solar declination angle equation ni, solar system equations of motion ni, spherical harmonics expansion (3D) ni, spreading curve (approximate, formulation) ni, spreading rate (time-dependent) constraint ni, stability linear autonomous system ni, standard chemical master equation ni, start of leaf area decline assumption ni, stationary Navier-Stokes equations ni, stationary flow assumption ni, stationary multi grid reaction diffusion master equation ni, stationary reaction-diffusion master equation ni, steady state assumption ni, steady state equations ni, stochastic process formulation ni, strong formulation ni, subcellular DAE system ni, substrate 1 concentration ODE (bi bi reaction Theorell-Chance) ni, substrate 1 concentration ODE (bi bi reaction ordered with single central complex) ni, substrate 1 concentration ODE (bi bi reaction ordered) ni, substrate 1 concentration ODE (bi bi reaction ping pong) ni, substrate 2 concentration ODE (bi bi reaction Theorell-Chance) ni, substrate 2 concentration ODE (bi bi reaction ordered with single central complex) ni, substrate 2 concentration ODE (bi bi reaction ordered) ni, substrate 2 concentration ODE (bi bi reaction ping pong) ni, substrate concentration ODE (uni uni reaction) ni, substrate kinetic equation (Haldane) ni, substrate kinetic equation (Monod) ni, surface energy distribution equation (Jossens) ni, susceptible cities ODE ni, susceptible infectious epidemic spreading ODE system ni, susceptibles at time step n +1 in the discrete multi population SI model ni, susceptibles at time step n +1 in the discrete multi population SIR model ni, susceptibles at time step n +1 in the discrete multi population SIS model ni, susceptibles at time step n+1 in the discrete SI model ni, susceptibles at time step n+1 in the discrete SIR model ni, susceptibles at time step n+1 in the discrete SIR model with births and deaths ni, susceptibles at time step n+1 in the discrete SIS model ni, susceptibles at time step n+1 in the discrete SIS model with births and deaths ni, tangential interaction force equation between two particles ni, time independence of Hamiltonian ni, time-dependent Schrödinger equation ni, time-dependent Schrödinger equation for electric charges ni, time-dependent Schrödinger equation (Chebychev polynomial) ni, time-dependent Schrödinger equation (Lie-Trotter) ni, time-dependent Schrödinger equation (Strang-Marchuk) ni, time-dependent Schrödinger equation (differencing scheme) ni, time-dependent Schrödinger equation (split operator) ni, time-independent Schrödinger equation ni, time-independent Schrödinger equation for electric charges ni, torque equation of particle ni, total population density formulation ni, total root weight accumulation equation ni, total soil nitrogen supply equation ni, transport equation ni, two chains of chemical reactions ni, uni uni reaction ODE system ni, uniform gravitational acceleration ni, unknown constant mean value assumption ni, unknown deterministic mean function assumption ni, vanishing air density ni, vanishing drag coefficient ni, vanishing of ligand ni, vibrational frequency shift (1st order) ni, vibrational frequency shift (2nd order) ni, von Neumann equation ni, weak formulation ni, white noise distribution assumption ni, zero flux condition ni

mathematical modelc back to ToC or Class ToC

IRI: https://portal.mardi4nfdi.de/entity/Q68663

has members
Andrews model ni, Baudu isotherm model ni, Boltzmann transport model ni, Brownian dynamics ni, Darcy model ni, Darcy model (discretized) ni, Dubinin-Radushkevich isotherm model ni, Dubinin–Astakhov isotherm model ni, Elovich isotherm model ni, Emax model ni, Flory-Huggins isotherm model ni, Fokker Planck model ni, Fowler-Guggenheim isotherm model ni, Freundlich isotherm model ni, Fritz-Schlunder 3-parameter isotherm model ni, Fritz-Schlunder 4-parameter isotherm model ni, Fritz-Schlunder 5-parameter isotherm model ni, Frumkin isotherm model ni, Gamma-Gompertz-Makeham model ni, Gaussian noise ni, Gaussian-process regression model ni, Henry's isotherm model ni, Hill model (adsorption) ni, Hill model (binding) ni, Hill model (dose-response) ni, Hill model (enzyme kinetics) ni, Hill's muscle model ni, Hill-de Boer isotherm model ni, Hill-type two-muscle-one-tendon model ni, Jossens isotherm model ni, Jovanovic isotherm model ni, Jovanovic multilayer isotherm model ni, Khan isotherm model ni, Kiselev isotherm model ni, Koble-Corrigan isotherm model ni, Kriging model ni, Langevin dynamics ni, Langmuir isotherm model ni, Lorentz force model (non-relativistic) ni, Lorentz force model (relativistic) ni, Maxwell's equations ni, Monod equation ni, Radke-Prausnitz isotherm model ni, Redlich-Peterson isotherm model ni, SEIR epidemiological ODE model ni, SEIR epidemiological PDE model ni, Scharfetter-Gummel scheme ni, Sips isotherm model ni, Stokes Darcy coupling conditions ni, Stokes Darcy model ni, Stokes Darcy model (discretized) ni, Stokes model ni, Stokes model (discretized) ni, Taylor–Couette model ni, Temkin isotherm model ni, Toth isotherm model ni, UNILAN isotherm model ni, Volmer isotherm model ni, Weber-van Vliet isotherm model ni, action potential propagation model ni, artificial neural network ni, bi bi reaction Ping Pong mechanism Michaelis Menten model with products 1 and 2 (steady state assumption) ni, bi bi reaction Theorell-Chance mechanism (ODE model) ni, bi bi reaction Theorell-Chance mechanism Michaelis Menten model with product 1 (steady state assumption) ni, bi bi reaction Theorell-Chance mechanism Michaelis Menten model with product 2 (steady state assumption) ni, bi bi reaction Theorell-Chance mechanism Michaelis Menten model with products 1 and 2 (steady state assumption) ni, bi bi reaction Theorell-Chance mechanism Michaelis Menten model without products (steady state assumption) ni, bi bi reaction ordered mechanism (ODE model) ni, bi bi reaction ordered mechanism Michaelis Menten model with product 1 (steady state assumption) ni, bi bi reaction ordered mechanism Michaelis Menten model with product 1 and single central complex (steady state assumption) ni, bi bi reaction ordered mechanism Michaelis Menten model with product 2 (steady state assumption) ni, bi bi reaction ordered mechanism Michaelis Menten model with product 2 and single central complex (steady state assumption) ni, bi bi reaction ordered mechanism Michaelis Menten model with products 1 and 2 (steady state assumption) ni, bi bi reaction ordered mechanism Michaelis Menten model with products 1 and 2 and single central complex (steady state assumption) ni, bi bi reaction ordered mechanism Michaelis Menten model without products (steady state assumption) ni, bi bi reaction ordered mechanism Michaelis Menten model without products and single central complex (steady state assumption) ni, bi bi reaction ordered mechanism with single central complex (ODE model) ni, bi bi reaction ping pong mechanism (ODE model) ni, bi bi reaction ping pong mechanism Michaelis Menten model with product 1 (steady state assumption) ni, bi bi reaction ping pong mechanism Michaelis Menten model with product 2 (steady state assumption) ni, bi bi reaction ping pong mechanism Michaelis Menten model without products (steady state assumption) ni, charge transport model ni, classical dynamics model ni, computerized tomography (no scatter) ni, computerized tomography (with scatter) ni, control system ni, control system model (bilinear) ni, cost model for line concept ni, crop height model ni, crop water usage model ni, daylength model ni, deterministic signalling of G‑protein coupled receptors model ni, diffusion model ni, discrete element method ni, discrete susceptible infectious model ni, discrete susceptible infectious removed model ni, discrete susceptible infectious susceptible model ni, drift-diffusion model ni, dynamical electron scattering model ni, economic yield model ni, electron shuttling model ni, electrophysiological muscle model ni, emission tomography (no scatter no attenuation) ni, emission tomography (no scatter with attenuation) ni, energy ni, feedforward neural network ni, fewest switches surface hopping 1 ni, fewest switches surface hopping 2 ni, fluid Poisson model: non-thermal plasma ni, fluid Poisson model: weak formulation ni, free fall ni, free fall model (air drag) ni, free fall model (non-uniform gravitation) ni, free fall model (vacuum) ni, generalized compartment based morphogen gradient model ni, harvest index development model ni, heat conduction model ni, heat-unit-based phenological development model ni, hybrid PDE ODE SEIR model ni, kinetic batch reactor model (Haldane) ni, kinetic batch reactor model (Monod) ni, leaf area index model ni, linear discrete element method ni, linear rotor ni, linear rotor (apolar) ni, linear rotor (combined) ni, linear rotor (non-rigid) ni, linear rotor (polar) ni, linear time-invariant system ni, loss function model ni, mathematical pendulum model ni, mathematical pendulum model (small angle) ni, mathematical pendulum model (small angle, damped) ni, mathematical pendulum model (small angle, damped, driven) ni, mean-field Ehrenfest ni, mean-field Ehrenfest with pickaback ni, mean-field PDE model ni, mean-field SPDE model ni, mean-field theory ni, mixed quantum-classical dynamics ni, motor neuron pool model ni, multi-population discrete susceptible infectious model ni, multi-population discrete susceptible infectious removed model ni, multi-population discrete susceptible infectious susceptible model ni, multipole expansion ni, normal mode ni, normal mode (anharmonic) ni, normal mode (harmonic) ni, normal mode (intermolecular) ni, numerical model of the solar system ni, object comparison model ni, opinion model with influencers and media ni, ordinary Kriging model ni, partial mean field opinion model ni, plant nitrogen fixation model ni, plant nitrogen uptake and demand model ni, plant phosphorus uptake and demand model ni, plasma modeling ni, plate with a hole: linear elasticity model ni, plate with a hole: weak formulation ni, plate with a hole: weak formulation, discretized model ni, poro-visco-elastic model ni, positron emission tomography ni, potential crop growth model (biomass) ni, quantum model (closed system) ni, quantum model (open system) ni, reaction kinetics model ni, recurrent neural network ni, recurrent neural network surrogate for discrete element method ni, root biomass distribution model ni, root biomass partitioning model ni, root depth model ni, sensory organ model ni, simple Kriging model ni, simulation behavior prediction by a stochastic model ni, simulation behavior prediction global stochastic model ni, simulation behavior prediction local stochastic model ni, solar radiation interception model ni, standard compartment-based morphogen gradient model ni, stochastic particle based model for clustering dynamics ni, stochastic signalling of G‑protein coupled receptors model ni, subcellular model ni, susceptible infectious epidemic spreading model ni, susceptible infectious model ni, susceptible infectious removed model ni, susceptible infectious removed model with births and deaths ni, susceptible infectious susceptible model ni, susceptible infectious susceptible model with births and deaths ni, symmetric top (combined) ni, transport model ni, uni uni reaction (Eadie Hofstee model without product - irreversibility assumption) ni, uni uni reaction (Eadie Hofstee model without product - rapid equilibrium assumption) ni, uni uni reaction (Eadie Hofstee model without product - steady state assumption) ni, uni uni reaction (Hanes Woolf model without product - irreversibility assumption) ni, uni uni reaction (Hanes Woolf model without product - rapid equilibrium assumption) ni, uni uni reaction (Hanes Woolf model without product - steady state assumption) ni, uni uni reaction (Lineweaver Burk model without product - irreversibility assumption) ni, uni uni reaction (Lineweaver Burk model without product - rapid equilibrium assumption) ni, uni uni reaction (Lineweaver Burk model without product - steady state assumption) ni, uni uni reaction (Michaelis Menten model with product - steady state assumption) ni, uni uni reaction (Michaelis Menten model without product - irreversibility assumption) ni, uni uni reaction (Michaelis Menten model without product - rapid equilibrium assumption) ni, uni uni reaction (Michaelis Menten model without product - steady state assumption) ni, uni uni reaction (ODE model) ni, uni uni reaction competitive complete inhibition (Dixon model without product - steady state assumption) ni, uni uni reaction competitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni, uni uni reaction competitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni, uni uni reaction competitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni, uni uni reaction competitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni, uni uni reaction competitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni, uni uni reaction mixed complete inhibition (Dixon model without product - steady state assumption) ni, uni uni reaction mixed complete inhibition (Eadie Hofstee model without product - steady state assumption) ni, uni uni reaction mixed complete inhibition (Hanes Woolf model without product - steady state assumption) ni, uni uni reaction mixed complete inhibition (Lineweaver Burk model without product - steady state assumption) ni, uni uni reaction mixed complete inhibition (Michaelis Menten model without product - steady state assumption) ni, uni uni reaction mixed partial inhibition (Michaelis Menten model without product - steady state assumption) ni, uni uni reaction non-competitive complete inhibition (Dixon model without product - steady state assumption) ni, uni uni reaction non-competitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni, uni uni reaction non-competitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni, uni uni reaction non-competitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni, uni uni reaction non-competitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni, uni uni reaction non-competitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni, uni uni reaction uncompetitive complete inhibition (Dixon model without product - steady state assumption) ni, uni uni reaction uncompetitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni, uni uni reaction uncompetitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni, uni uni reaction uncompetitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni, uni uni reaction uncompetitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni, uni uni reaction uncompetitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni, universal Kriging model ni

quantityc back to ToC or Class ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534237

has members
Allee threshold ni, Baudu affinity constant ni, Baudu affinity exponent ni, Baudu capacity exponent ni, Baudu monolayer adsorption capacity ni, Beavers-Joseph coefficient ni, Boltzmann constant ni, Boolean ring ni, Cauchy momentum equation: coefficient matrix ni, Cauchy momentum equation: constant vector ni, Cauchy momentum equation: unknown vector ni, Cauchy stress tensor ni, Dirac delta distribution ni, Dubinin-Astakhov heterogeneity exponent ni, Dubinin-Astakhov isotherm constant ni, Dubinin-Astakhov theoretical isotherm saturation capacity ni, Dubinin-Radushkevich isotherm constant ni, Dubinin-Radushkevich theoretical isotherm saturation capacity ni, Elovich equilibrium constant ni, Flory-Huggins equilibrium parameter ni, Flory-Huggins occupancy number ni, Fowler-Guggenheim equilibrium constant ni, Freundlich adsorption capacity constant ni, Freundlich adsorption intensity constant ni, Fritz-Schlunder constant A ni, Fritz-Schlunder constant B ni, Fritz-Schlunder equilibrium constant ni, Fritz-Schlunder exponent a ni, Fritz-Schlunder exponent b ni, Fritz-Schlunder model exponent ni, Frumkin equilibrium constant ni, Frumkin interaction parameter ni, G-protein ni, Gaussian process ni, Gramian matrix ni, Gröbner basis ni, Hamiltonian function ni, Hamiltonian operator ni, Hamiltonian operator (discretized) ni, Hankel singular value ni, Henry adsorption constant ni, Hill coefficient ni, Hill constant ni, Hill limiting reaction rate ni, Hill theoretical isotherm saturation capacity ni, Hill-de Boer equilibrium constant ni, Jossens energy parameter ni, Jossens equilibrium constant ni, Jossens heterogeneity exponent ni, Jovanovic constant ni, Jovanovic multilayer constant ni, Khan affinity parameter ni, Khan heterogeneity exponent ni, Khan theoretical isotherm saturation capacity ni, Kiselev equilibrium constant ni, Koble-Corrigan constant A ni, Koble-Corrigan constant B ni, Koble-Corrigan heterogeneity exponent ni, Lagrange multiplier ni, Langmuir adsorption constant ni, MOR transformation matrix ni, Markov jump process ni, Michaelis constant ni, Michaelis constant product (uni uni reaction - steady state assumption) ni, Michaelis constant product 1 (bi bi reaction ordered - steady state assumption) ni, Michaelis constant product 2 (bi bi reaction ordered - steady state assumption) ni, Michaelis constant substrate (uni uni reaction - irreversibility assumption) ni, Michaelis constant substrate (uni uni reaction - rapid equilibrium assumption) ni, Michaelis constant substrate (uni uni reaction - steady state assumption) ni, Michaelis constant substrate 1 (bi bi reaction ordered - steady state assumption) ni, Michaelis constant substrate 1 (bi bi reaction ordered with single central complex - steady state assumption) ni, Michaelis constant substrate 2 (bi bi reaction ordered - steady state assumption) ni, Michaelis constant substrate 2 (bi bi reaction ordered with single central complex - steady state assumption) ni, Monod constant ni, Piola-Kirchhoff stress tensors ni, Poisson distribution ni, Poisson's ratio ni, Polanyi potential ni, Radke-Prausnitz exponent ni, Radke-Prausnitz parameter a ni, Radke-Prausnitz parameter b ni, Redlich-Peterson coefficient ni, Redlich-Peterson constant ni, Redlich-Peterson exponent ni, Reynolds number ni, Romanized cities vector ni, SPECT measured data ni, Sips equilibrium constant ni, Sips heterogeneity exponent ni, Temkin equilibrium constant ni, Toth equilibrium constant ni, Toth heterogeneity exponent ni, UNILAN adsorption affinity constant ni, UNILAN heterogeneity parameter ni, Volmer affinity constant ni, Weber-van Vliet Parameter 1 ni, Weber-van Vliet Parameter 2 ni, Weber-van Vliet Parameter 3 ni, Weber-van Vliet Parameter 4 ni, Wiener process ni, Young's modulus ni, above-ground biomass ni, accumulated plant biomass ni, accumulated potential above-ground biomass ni, accumulated potential biomass ni, accumulated root weight in soil layer ni, accumulated total root weight ni, active calcium channels ni, active contractile force ni, adjacency matrix ni, adjusted nitrogen supply rate in soil layer ni, adsorbate partial pressure (equilibrium) ni, adsorbed gas volume (equlibrium) ni, adsorbed solute (equilibrium) ni, adsorption energy variation ni, adsorption rate constant ni, age of a person ni, alpha subunits (GTP attached) ni, alpha subunits loaded with GDP ni, amplitude of electron wave ni, angular momentum operator ni, anharmonicity constant ni, applied external voltage ni, approximation predictive distribution ni, area of image ni, artificial boundary interface ni, asymptomatic infection rate ni, asymptomatic recovery rate ni, attenuation distribution ni, attraction force at opinion ni, average number of molecules of morphogen ni, average number of molecules of signal ni, average opinion of followers of influencers ni, average opinion of followers of influencers in the partial mean field model ni, average opinion of followers of media ni, average opinion of followers of media in the partial mean field model ni, azimuthal angle ni, band edge energy for conduction band ni, band edge energy for valence band ni, between population contact rate ni, binary decision variable ni, biomass concentration ni, biomass growth rate ni, birth rate ni, body force ni, built-in potential ni, canopy light attenuation coefficient ni, center of mass ni, center of province ni, centrifugal distortion constant ni, change in daylength ni, change in length ni, characteristic length ni, classical density (phase space) ni, coefficient of friction ni, coefficient scaling infectious to exposed ni, coefficient simulation behavior prediction global ni, compartment length ratio ni, compartment size ni, compartment size for a ni, compartment size for b ni, competitive inhibition constant (uni uni reaction reversible inhibition) ni, complex formation constant ni, complexed enzyme concentration ni, computational domain ni, concentration of particles ni, concentrations of reaction entities ni, contact index ni, contact network ni, contact network (time-dependent) ni, contact point of particles ni, contact rate ni, contact rate between two groups ni, control system Lagrange multiplier ni, control system duration ni, control system input ni, control system matrix A ni, control system matrix A (reduced) ni, control system matrix B ni, control system matrix B (reduced) ni, control system matrix C ni, control system matrix C (reduced) ni, control system matrix D ni, control system matrix D (reduced) ni, control system matrix N ni, control system matrix N (reduced) ni, control system output ni, control system state ni, control system state (reduced) ni, control volume ni, controllability Gramian ni, controllability Gramian (generalized) ni, convolution between interaction force and density ni, coriolis coupling constant ni, costs of line concept ni, costs per unit ni, coupling current ni, crop growth constraint ni, crop height ni, crop yield ni, crop-specific base temperature ni, crop-specific nitrogen parameter ni, crop-specific phosphorus parameter ni, cross section ni, current procedural terminology ni, daily change in heat unit factor ni, daily change in leaf area index ni, daily harvest index heat unit factor ni, daily nitrogen fixation ni, daily potential plant water use from the root zone ni, damping coefficient ni, day index ni, daylength ni, de Broglie wavelength ni, death count ni, death rate coefficient ni, degree of surface coverage ni, density fraction coefficient ni, density of air ni, depth ni, desorption rate constant ni, deterministic mean basis functions ni, diffusion coefficient a ni, diffusion coefficient b ni, diffusion coefficient for SEIR model ni, diffusion flux ni, diffusion operator ni, diffusivity of electron energy ni, displacement ni, displacement muscle tendon ni, displacement of atoms ni, dissociation constant ni, distribution of radioactive tracer ni, doping profile ni, drag coefficient ni, drift velocity ni, driving frequency ni, drug concentration ni, duration ni, duration per unit ni, dynamic viscosity ni, earth mass ni, earth radius ni, edge ni, edge set ni, effective conductivity ni, effective density of states in the conduction band ni, effective density of states in the valence band ni, effective mass (solid-state physics) ni, effective mass (spring-mass system) ni, eigenstress of crystal ni, elasticity tensor ni, electric charge density ni, electric current density ni, electric current density of electrons ni, electric current density of holes ni, electric potential ni, electric potential Fourier coefficients ni, electrode interfaces ni, electron density ni, electron energy density ni, electron energy flux ni, electron energy source ni, electron flux density ni, electron mass ni, elementary charge ni, empirical distribution of individuals ni, enzyme - product 1 - product 2 complex concentration ni, enzyme - product 1 complex concentration ni, enzyme - product 2 complex concentration ni, enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complex concentration ni, enzyme - substrate 1 - substrate 2 complex concentration ni, enzyme - substrate 1 complex concentration ni, enzyme concentration ni, enzyme-substrate complex concentration ni, equilibrium constant ni, equilibrium constant (bi bi reaction ordered - steady state assumption) ni, evaluations posterior predictive distribution ni, excitation error ni, expectation value (quantum density) ni, expectation value (quantum state) ni, exposure of an individual ni, external chemical potential ni, external force density ni, extrinsic mortality ni, fiber contraction velocity ni, fiber stretch ni, field capacity water content of soil layer ni, field capacity water content of upper soil layer ni, filtered value of image ni, fixed costs ni, fluid dynamic viscosity (porous medium) ni, fluid intrinsic permeability (porous medium) ni, fluid mass density ni, fluid pressure (free flow) ni, fluid pressure (porous medium) ni, fluid velocity (free flow) ni, fluid velocity (porous medium) ni, flux of electrons ni, flux of holes ni, force acting on a particle ni, force constant (anharmonic) ni, force density ni, fraction of population density of exposed ni, fraction of population density of exposed in the ODE region ni, fraction of population density of exposed in the ODE region (fluctuating part) ni, fraction of population density of exposed in the ODE region (mean) ni, fraction of population density of exposed in the PDE region ni, fraction of population density of infectious ni, fraction of population density of infectious in the ODE region ni, fraction of population density of infectious in the ODE region (fluctuating part) ni, fraction of population density of infectious in the ODE region (mean) ni, fraction of population density of infectious in the PDE region ni, fraction of population density of removed ni, fraction of population density of removed in the ODE region ni, fraction of population density of removed in the ODE region (fluctuating part) ni, fraction of population density of removed in the ODE region (mean) ni, fraction of population density of removed in the PDE region ni, fraction of population density of susceptibles ni, fraction of population density of susceptibles in the ODE region ni, fraction of population density of susceptibles in the ODE region (fluctuating part) ni, fraction of population density of susceptibles in the ODE region (mean) ni, fraction of population density of susceptibles in the PDE region ni, fractional occupancy ni, fractional surface coverage ni, free energy density ni, free fall equation (air drag, right-hand side) ni, free fall equation (vacuum, right-hand side) ni, free fall height ni, free fall impact time ni, free fall impact velocity ni, free fall initial height ni, free fall initial point ni, free fall initial velocity ni, free fall mass ni, free fall point ni, free fall terminal velocity ni, free fall time ni, free fall velocity ni, frequency of line ni, generalized diffusion operator ni, generalized reaction operator ni, global stochastic process ni, graph type identifier ni, gravitational acceleration ni, gravitational constant ni, half maximal effective concentration ni, half saturation constant (Hill binding) ni, half saturation constant (Hill kinetics) ni, harvest index heat unit factor ni, heat flux density ni, heat unit factor ni, heat unit index ni, heat unit index at start of leaf area index decline ni, heat unit response shape parameters ni, heat units ni, heavy particle kinetic operator ni, heavy particle mass ni, heavy particle mean force ni, heavy particle momentum ni, heavy particle position ni, heavy particle velocity ni, heterogeneity of death rate ni, hole density ni, hydraulic conductivity ni, hyperstress potential ni, ideal ni, identity function ni, inactive calcium channels ni, index set ni, individual relationship matrix ni, inertia parameter for opinion changes of influencers ni, inertia parameter for opinion changes of media ni, infected recovery rate ni, infectious ni, influencer individual matrix ni, inhibition constant ni, inhibition constant (Andrews) ni, inhibition constant product 1 (bi bi reaction ordered - steady state assumption) ni, inhibition constant product 2 (bi bi reaction ordered - steady state assumption) ni, inhibition constant substrate 1 (bi bi reaction ordered - steady state assumption) ni, inhibition constant substrate 2 (bi bi reaction ordered - steady state assumption) ni, inhibitor concentration ni, initial control state (reduced) ni, initial reaction rate ni, initial solute concentration ni, initial value of classical density ni, initial value of control system ni, initial value of momentum ni, initial value of position ni, initial value of quantum density ni, initial value of quantum state ni, initial value of velocity ni, inner cylinder angular velocity ni, inner cylinder radius ni, interaction energy ni, interaction energy constant ni, interaction force ni, interaction potential ni, interaction weight ni, intercepted photosynthetically active radiation ni, intermediate - substrate 2 complex concentration ni, intermediate concentration ni, intermolecular potential ni, internalised receptor ni, ion current ni, isosteric heat at zero surface coverage ni, isotropic Gaussian function ni, joint probability ni, jump operator ni, jump rate of a ni, jump rate of b ni, kinematic viscosity ni, kinetic energy operator ni, labile phosphorus concentration in soil layer ni, labile phosphorus factor for crop uptake ni, latitude ni, leaf area index ni, leaf area index at start of decline ni, leaf area index decline rate parameter ni, length of pendulum ni, length of plate with a hole ni, length of unit cell ni, length scale of attractive forces ni, length scale of repulsive forces ni, level of mortality ni, ligand ni, ligand concentration ni, light particle Hamiltonian ni, light particle density matrix ni, light particle eigen energy ni, light particle eigen state ni, light particle expansion coefficient ni, light particle kinetic operator ni, light particle mass ni, light particle nonadiabatic coupling (first order) ni, light particle nonadiabatic coupling (second order) ni, light particle nonadiabatic probability 1 ni, light particle nonadiabatic probability 2 ni, light particle position ni, light particle state vector ni, light particle time overlap ni, likelihood function ni, limiting distribution of individuals ni, limiting reaction rate (bi bi reaction ordered mechanism - backward) ni, limiting reaction rate (bi bi reaction ordered mechanism - forward) ni, limiting reaction rate (bi bi reaction ordered mechanism with single central complex - forward) ni, limiting reaction rate (uni uni reaction - backward) ni, limiting reaction rate (uni uni reaction - forward) ni, limiting reaction rate backward (bi bi reaction ordered - single central complex) ni, limiting reaction rate with inhibitor (uni uni reaction - forward) ni, line concept ni, line costs ni, line pool ni, linear strain ni, link recommendation function ni, local charge-neutrality potential ni, local stochastic process ni, loss function (Romanization) ni, lumped activation parameter ni, magnetic constant ni, mass diffusivity ni, material density ni, material point acceleration ni, material point displacement ni, material point velocity ni, mathematical pendulum amplitude (small angle, damped, driven) ni, mathematical pendulum phase shift (small angle, damped, driven) ni, matrix M ni, matrix S ni, maximal object descriptiveness rating ni, maximal response ni, maximum crop height ni, maximum frequency of line ni, maximum isometric muscle force ni, maximum leaf area index ni, maximum monolayer adsorption capacity ni, maximum monolayer adsorption volume ni, maximum root depth ni, maximum specific growth rate ni, maximum temperature ni, mean electron energy ni, mechanical deformation (boundary value) ni, mechanical load ni, medium follower matrix ni, medium influencer fraction ni, medium influencer fraction limit ni, membrane capacitance ni, membrane potential ni, minimum frequency of line ni, minimum temperature ni, mobility of electron energy ni, mobility of electrons ni, mobility of holes ni, molar gas constant ni, molecularity ni, momentum operator ni, morphogen ni, muscle contraction velocity ni, muscle length ni, muscle spindle firing rate ni, neural firing rate ni, neural input ni, nitrogen fixation fraction ni, nitrogen fixation growth stage factor ni, nitrogen fixation soil nitrate factor ni, nitrogen fixation soil water factor ni, nitrogen supply rate in soil layer ni, nitrogen supply rate of soil ni, nitrogen uptake rate of plant ni, noise strength ni, normal coordinate ni, normal coordinate (dimensionless) ni, normal distribution ni, normal force ni, normal mode momentum ni, normal mode momentum (dimensionless) ni, normal stiffness ni, normal stress ni, normal vector ni, normalization ni, number of G-protein molecules ni, number of active calcium channels ni, number of alpha subunits (loaded with GDP) ni, number of alpha subunits (with GTP attached) ni, number of basis functions ni, number of chemical reactions ni, number of chemical species ni, number of cities ni, number of compartments ni, number of compartments ni, number of exposed individuals ni, number of inactive calcium channels ni, number of infected cities ni, number of infectious individuals ni, number of internalised receptor ni, number of ligand molecules ni, number of molecules of morphogen ni, number of molecules of signal ni, number of object properties ni, number of objects ni, number of occurrences ni, number of particles ni, number of reaction partner molecules ni, number of receptor molecules ni, number of receptor-ligand complex molecules ni, number of regions ni, number of removed individuals ni, number of spindles ni, number of susceptible cities ni, number of susceptible individuals ni, number of time points ni, number of βγ molecules ni, object cluster matrix ni, object committor functions ni, object commonality matrix ni, object property ni, object rating matrix ni, observability Gramian ni, observability Gramian (generalized) ni, observed response ni, operators O i minus ni, operators O i plus ni, opinion ni, opinion vector of individuals ni, opinion vector of influencers ni, opinion vector of media ni, optimal control cost ni, optimal control penalty factor ni, optimal control target ni, optimal nitrogen concentration for a plant ni, optimal phosphorus concentration for a plant ni, orthogonal matrix ni, outer cylinder angular velocity ni, outer cylinder radius ni, overall distribution of individuals ni, pair function ni, parameter to scale attractive force from influencers ni, parameter to scale attractive force from media ni, parameter to scale attractive force from other individuals ni, particle acceleration ni, particle fluence rate ni, particle mass ni, particle momentum ni, particle number density ni, particle position ni, particle radius ni, particle velocity ni, passive muscle force ni, passive muscle strain ni, passive tendon force ni, pendular amplitude ni, pendular amplitude (initial value) ni, period length ni, permittivity ni, permittivity of vacuum ni, phosphorus supply rate of soil ni, phosphorus uptake rate of plant ni, photosynthetically active solar radiation fraction ni, plant nitrogen demand rate ni, plant phosphorus demand rate ni, plant water use rate in soil layer ni, plant water use rate-soil depth parameter ni, point in time ni, polar angle ni, population density ni, potential biomass increment ni, potential energy operator ni, potential evaporation ni, potential harvest index ni, potential harvest index at maturity ni, potential heat units ni, potential plant evaporation rate ni, potential plant water use rate in soil layer ni, power set ni, probability distribution ni, probability measure ni, probability space ni, product 1 concentration ni, product 2 concentration ni, product concentration ni, propensity for the degradation of internalised receptor ni, propensity function ni, propensity functions for the signalling of g‑protein coupled receptors reactions ni, propensity of G-protein activation ni, propensity of degradation of the reaction partner ni, propensity of dissociation into α- and βγ-subunits ni, propensity of hydrolysis of GTP ni, propensity of inhibition of membrane calcium channel ni, propensity of internalisation of receptor–ligand complex ni, propensity of internalised receptor recycled to the cell membrane ni, propensity of receptor-ligand complex creation ni, propensity of reformation of G-protein complex and opening of calcium channel ni, propensity of the vanishing of ligand ni, proton mass ni, proton-to-electron mass ratio ni, public transport line ni, public transport route ni, quantile function of the beta distribution ni, quantum Hamiltonian (electric charge) ni, quantum Hamiltonian (electric dipole) ni, quantum Hamiltonian (electric polarizability) ni, quantum Hamiltonian (linear rotor) ni, quantum Hamiltonian (non-rigid rotor) ni, quantum Hamiltonian (normal mode) ni, quantum Hamiltonian (normal mode, anharmonic) ni, quantum Hamiltonian (normal mode, harmonic) ni, quantum Hamiltonian (normal mode, intermolecular) ni, quantum Hamiltonian (symmetric top) ni, quantum damping rate ni, quantum density operator ni, quantum eigen energy ni, quantum mechanical operator ni, quantum number ni, quantum state ni, quantum state vector (dynamic) ni, quantum state vector (stationary) ni, quantum-classical Hamiltonian ni, quantum-classical potential ni, quasi-Fermi potential for electrons ni, quasi-Fermi potential for holes ni, radial coordinate ni, radiant intensity ni, radiation use efficiency parameter ni, radius of hole in a plate ni, random number ni, rate of aging ni, rate of becoming infectious ni, rate of change of susceptible cities ni, rate of switching influencers ni, reaction constant for G-protein activation ni, reaction constant for degradation of internalised receptor ni, reaction constant for dissociation into α- and βγ-subunits ni, reaction constant for hydrolysis of GTP ni, reaction constant for inhibition of membrane calcium channel ni, reaction constant for internalisation of receptor–ligand complex ni, reaction constant for internalised receptor recycled to the cell membrane ni, reaction constant for receptor-ligand complex creation ni, reaction constant for reformation of G-protein complex and opening of calcium channel ni, reaction constant for the degradation of the reaction partner ni, reaction constant for the vanishing of ligand ni, reaction operator ni, reaction order ni, reaction partner ni, reaction rate ni, reaction rate constant ni, reaction rate of enzyme ni, reaction rate of enzyme - product 1 - product 2 complex ni, reaction rate of enzyme - product 1 complex ni, reaction rate of enzyme - product 2 complex ni, reaction rate of enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complex ni, reaction rate of enzyme - substrate 1 - substrate 2 complex ni, reaction rate of enzyme - substrate 1 complex ni, reaction rate of intermediate ni, reaction rate of intermediate - substrate 2 complex ni, reaction rate of product 1 ni, reaction rate of product 2 ni, reaction rate of substrate 1 ni, reaction rate of substrate 2 ni, receptor ni, receptor-ligand complex ni, reciprocal lattice ni, reciprocal lattice vectors ni, recombination rate for electron hole pairs ni, reduced Planck constant ni, reflection coefficient ni, region ni, region connectivity ni, relative cylinder angular velocity ni, relative cylinder radius ni, relative permittivity ni, relative removal rate ni, relativistic momentum ni, removed ni, resonance frequency ni, risk of death ni, root weight in soil layer increment ni, root zone depth ni, rooting depth ni, rotating cylinders constant A ni, rotating cylinders constant B ni, rotating cylinders constant C ni, rotational constant ni, sample space ni, scaling parameter for switching influencers ni, scattering cross section ni, second eigenvalue of orthogonal matrix ni, sensory organ current ni, set of species ni, sigma-algebra ni, signal ni, soil layer index ni, soil nitrate content ni, soil nitrate content in root zone ni, soil water content ni, soil water content of layer at wilting point ni, soil water content of upper soil layer ni, soil water content of upper soil layer at wilting point ni, soil water deficit compensation factor ni, solar declination angle ni, solar radiation ni, solute concentration (equilibrium) ni, solute concentration (equilibrium, dimensionless) ni, sources and sinks ni, spatial variable ni, specific growth rate ni, speed of light in vacuum ni, spreading curve (approximate) ni, spreading rate (time-dependent) ni, spring constant ni, state of system vector ni, state variable ni, state vector ni, stationary distribution ni, stoichiometric vectors ni, stoichiometry matrix ni, strain tensor ni, strength of attractive forces ni, strength of repulsive forces ni, stress free muscle length ni, stress free tendon length ni, stress of crystal ni, stress tensor ni, stress tensor (analytic solution) ni, stress tensor (deviation) ni, structural load ni, student's t-distribution ni, substrate 1 concentration ni, substrate 2 concentration ni, substrate concentration ni, substrate consumption rate ni, surface energy distribution parameter ni, surface force density ni, susceptibles ni, symptomatic infection rate ni, system state probability ni, tangential stiffness ni, tendon length ni, tendon strain ni, thermal conductivity ni, thermal velocity ni, time step ni, total number of individuals ni, total population density ni, total population size ni, total root weight increment ni, traction ni, transport route ni, turn over time ni, uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni, unfiltered value of image ni, unit normal vector ni, unit operator ni, unit outer normal vector ni, unit removing operator ni, unit tangent vector ni, unknown function ni, unknown matrix ni, upper-triangular matrix ni, vertex set ni, vibration frequency (anharmonic) ni, vibration frequency (harmonic) ni, vibration period (harmonic) ni, viscous dissipation potential ni, viscous stress tensor ni, wave vector ni, wave vector of an electron ni, weak formulation: test function ni, weight factor in Romanization loss function ni, weight function ni, white noise ni, yield coefficient ni, βγ molecules ni

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has members
Romanization spreading in northern Tunisia ni, Taylor–Couette flow ni, bacterial growth ni, bi bi reaction ni, bi bi reaction following Theorell-Chance mechanism ni, bi bi reaction following ordered mechanism ni, bi bi reaction following ordered mechanism with single central complex ni, bi bi reaction following ping pong mechanism ni, biodistribution of gamma-radiation emitting radiotracers in vivo ni, biological wastewater treatment ni, charge transport ni, charge transport in semiconductor devices ni, chemical wastewater treatment ni, crop canopy development ni, crop phenological development ni, dose-response analysis ni, efficient numerical simulation of soil-tool interaction ni, electric discharge ni, electromagnetic field ni, estimation of astronomical daylength ni, estimation of biological nitrogen fixation in legume crops ni, estimation of canopy-intercepted solar radiation ni, estimation of crop economic yield ni, estimation of crop height development ni, estimation of crop nitrogen uptake under varying soil conditions ni, estimation of crop rooting depth ni, estimation of crop water use ni, estimation of harvest index development ni, estimation of phosphorus uptake and demand in crops ni, estimation of potential crop biomass production ni, estimation of root biomass partitioning ni, estimation of vertical root biomass distribution ni, flow in porous media ni, free flow coupled to porous media flow ni, free flow of an incompressible fluid ni, gas separation ni, gas separation (adsorption) ni, gravitational effects on fruit ni, heat transport ni, identify destruction rules in ancient Egyptian objects ni, image denoising ni, imaging of nanostructures ni, initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 1 ni, initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 1 and 2 ni, initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 2 ni, initial reaction rate of bi bi reaction following Theorell-Chance mechanism without products ni, initial reaction rate of bi bi reaction following ordered mechanism with product 1 ni, initial reaction rate of bi bi reaction following ordered mechanism with product 1 and single central complex ni, initial reaction rate of bi bi reaction following ordered mechanism with product 2 ni, initial reaction rate of bi bi reaction following ordered mechanism with product 2 and single central complex ni, initial reaction rate of bi bi reaction following ordered mechanism with products 1 and 2 ni, initial reaction rate of bi bi reaction following ordered mechanism with products 1 and 2 and single central complex ni, initial reaction rate of bi bi reaction following ordered mechanism without products ni, initial reaction rate of bi bi reaction following ordered mechanism without products and single central complex ni, initial reaction rate of bi bi reaction following ping pong mechanism with product 1 ni, initial reaction rate of bi bi reaction following ping pong mechanism with product 2 ni, initial reaction rate of bi bi reaction following ping pong mechanism with products 1 and 2 ni, initial reaction rate of bi bi reaction following ping pong mechanism without products ni, initial reaction rate of uni uni reaction with product ni, initial reaction rate of uni uni reaction without product ni, initial reaction rate of uni uni reaction without product and competitive complete inhibition ni, initial reaction rate of uni uni reaction without product and competitive partial inhibition ni, initial reaction rate of uni uni reaction without product and mixed complete inhibition ni, initial reaction rate of uni uni reaction without product and mixed partial inhibition ni, initial reaction rate of uni uni reaction without product and non-competitive complete inhibition ni, initial reaction rate of uni uni reaction without product and non-competitive partial inhibition ni, initial reaction rate of uni uni reaction without product and uncompetitive complete inhibition ni, initial reaction rate of uni uni reaction without product and uncompetitive partial inhibition ni, ligand-receptor interaction ni, line planning ni, molecular dynamics simulation ni, molecular reaction dynamics ni, molecular rotation ni, molecular spectroscopy ni, molecular spectroscopy (transient) ni, molecular spectrosopy (stationary) ni, molecular vibration ni, mortality modeling ni, muscle contraction ni, nonadiabatic molecular dynamics ni, opinion dynamics ni, particles in electromagnetic fields ni, pendulum ni, plate with a hole ni, poro-visco-elastic evolution ni, predicting simulation error and runtime ni, prototypical concrete structures ni, reaction kinetics problem ni, solar system mechanics ni, sort ancient Egyptian objects ni, spatial prediction ni, species transport ni, spin qbit shuttling ni, spreading of infectious diseases ni, transport of matter ni, uni uni reaction ni, uni uni reaction with competitive complete inhibition ni, uni uni reaction with competitive partial inhibition ni, uni uni reaction with mixed complete inhibition ni, uni uni reaction with mixed partial inhibition ni, uni uni reaction with non-competitive complete inhibition ni, uni uni reaction with non-competitive partial inhibition ni, uni uni reaction with reversible complete inhibition ni, uni uni reaction with reversible partial inhibition ni, uni uni reaction with uncompetitive complete inhibition ni, uni uni reaction with uncompetitive partial inhibition ni, wastewater treatment ni

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Cultureel Woordenboek IDap back to ToC or Annotation Property ToC

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Cyprus Bibliography IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P525

De Agostini IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P293

DeCS IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P381

Den Store Danske IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P501

described at URLap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P104

described by sourceap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P286

describes a project that usesap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1463

descriptionap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/description

descriptionap back to ToC or Annotation Property ToC

IRI: https://schema.org/description

Description (long)ap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1459

Dewey Decimal Classificationap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P306

DFG Science Classificationap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2101

different fromap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P250

Digital Library of Mathematical Functions IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2

discretized byap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1656

disjoint union ofap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P881

Dizionario delle Scienze Fisiche IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P385

EDAM Ontology IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1926

Elhuyar ZTH IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P907

ELSST Thesaurus ID (Version 4 - 2023)ap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2100

Enciclopedia Galega Universal IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1863

Encyclopedia of China (Third Edition) IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P502

Encyclopedia of Greater Philadelphia IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2270

Encyclopedia of Korean Culture IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1504

Encyclopedia of Mathematics wiki IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1202

Encyclopedia of Modern Ukraine IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P633

Encyclopedia of Science Fiction IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1683

Encyclopedia Tatarica (ru) Online IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2107

Encyclopedia Tatarica (tt) Online IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2106

Encyclopædia Britannica Online IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P276

Encyclopædia Universalis IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P269

entry in abbreviations tableap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P319

equivalent classap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P240

ERIC Thesaurus IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1205

ESCO skill IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2046

European Education Thesaurus IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2102

EuroVoc IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P374

external data available at URLap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1275

facet ofap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P124

FactGrid item IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P316

Fandom article IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P391

Fandom wiki IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P900

FAST IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P462

Femiwiki IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2273

field of workap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P437

FOLDOC IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1678

followed byap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P581

followsap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P579

France 24 topic ID (French)ap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1760

Freebase IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P239

Georgian Encyclopedia IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2110

GitHub topicap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P300

GitLab topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1705

GND IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P83

Golden IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P318

Google Knowledge Graph IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P545

Google News topics IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P660

Gran Enciclopèdia Catalana IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1531

Gran Enciclopèdia Catalana ID (former scheme)ap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P244

Great Aragonese Encyclopedia IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P861

Great Russian Encyclopedia Online IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P447

Great Russian Encyclopedia portal IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1208

Guardian topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P247

Harper's tagap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2027

has characteristicap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P95

has facet polytopeap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1921

has immediate causeap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2350

has part(s)ap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P265

has part(s) of the classap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P572

has weak formulationap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1736

hashtagap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P542

HDS IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P285

history of topicap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P326

IAB codeap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P371

Iconclass notationap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P268

IEV numberap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P378

imageap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P356

IMDb keywordap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1925

INAPP Thesaurus IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1527

instance ofap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P31

Interlingual Index IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1030

invariant underap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1891

Iowa State University Library Vocabularies IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2097

IPTC NewsCodeap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P367

is the study ofap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P912

ISQ dimensionap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1212

issuedap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/issued

IUPAC Gold Book IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1213

Jewish Encyclopedia ID (Russian)ap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P305

JSTOR topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P252

KBpedia IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P294

Klexikon article IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P279

Krugosvet articleap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P541

Larousse IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P887

Latvian National Encyclopedia Online IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P730

learning outcomeap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2596

LEMAC IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2105

Lemmy community IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2108

Library of Congress authority IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P85

Library of Congress Classificationap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1206

licenseap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/license

Lille norske leksikon IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1912

linearized byap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1657

local imageap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1640

MaRDI profile typeap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1460

mathematical inverseap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1913

Mathematics Subject Classification IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P226

Mathlib Declaration IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2043

MathWorld IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1192

MeSH descriptor IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P278

MeSH tree codeap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P375

MetaSat IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P379

Microsoft Academic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P373

Miraheze wiki IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2271

modelled byap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1513

modifiedap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/modified

museum-digital tag IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1532

NALT IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P333

named afterap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P558

named byap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1739

Namuwiki IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P380

National Library of Israel J9U IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P309

National Library of Korea IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P471

National Library of Latvia IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P324

NCI Thesaurus IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P649

NDL Authority IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P88

NE.se IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P393

New York Times topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P885

NicoNicoPedia IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P639

NKCR AUT IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P315

nLab IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1195

nondimensionalized byap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1658

notationap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1587

NRK topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2111

numeric valueap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1566

OmegaWiki Defined Meaningap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P284

on focus list of Wikimedia projectap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P190

Online PWN Encyclopedia IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P574

Open Library subject IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P377

OpenAlex IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P388

OpenStreetMap keyap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1723

opposite ofap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P331

PACTOLS thesaurus IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P301

part ofap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P37

partially coincident withap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P573

Personality Database profile IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P659

PhilPapers topicap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1590

Pixiv Encyclopedia IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P327

practiced byap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P500

pronunciation audioap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P384

ProofWiki IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1575

Provenio UUIDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P499

PSH IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P241

publisherap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/publisher

quantity symbol (LaTeX)ap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P987

quantity symbol (string)ap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P986

QUDT constant IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1693

QUDT dimension IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1886

QUDT quantity kind IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1654

Quora topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P248

RationalWiki IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1585

recommended unit of measurementap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1885

Reddit topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P397

Regensburg Classificationap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2096

related URLap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1690

replacesap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P554

RKD thesaurus IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P296

Römpp online IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2226

said to be the same asap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P402

schematicap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P638

ScholarGPS field and discipline IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2109

ScienceDirect topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1364

Semanticscience Integrated Ontology IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2305

significant personap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P624

similar toap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1691

social media followersap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P463

solution toap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1692

source code repositoryap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P339

specialized byap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1684

spoken text audioap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P282

Springer Nature Subjects Taxonomy IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P2093

Stack Exchange site URLap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1526

Stack Exchange tagap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P357

Store medisinske leksikon IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1752

Store norske leksikon IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P325

studied inap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P389

STW Thesaurus for Economics IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P307

subclass ofap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P36

subredditap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P273

SVKKL authority IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1121

symbol representsap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P984

TDV İslam Ansiklopedisi IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P642

TED topic IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P243

TeX stringap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P985

Thesaurus for Graphic Materials IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P543

titleap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/title

topic's main categoryap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P236

topic's main templateap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P329

Treccani IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P386

Treccani Vocabulary IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1525

Treccani's Dizionario di Economia e Finanza IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P1198

Treccani's Enciclopedia della Matematica IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P382

Treccani's Enciclopedia Italiana IDap back to ToC or Annotation Property ToC

IRI: https://portal.mardi4nfdi.de/entity/P383

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Named Individuals

a produced in first compartmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775441

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∅</mi><mover><mstyle scriptlevel="0"><mo data-mjx-texclass="REL">→</mo></mstyle><mpadded height="-.2em" lspace="0.278em" voffset="-.2em" width="+0.833em"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo lspace="0" rspace="0">/</mo><mi>h</mi></mrow><mspace depth=".25em"></mspace></mpadded></mover><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Particles of A are produced at a rate of 𝑘₁."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "signal A is produced in the first compartment on the left"@en

above-ground biomassni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821421

belongs to
quantity c
has facts
Wikidata QID ap "Q117133479"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap accumulated potential above-ground biomass ni
description ap "all living biomass above the soil including stem, stump, branches, bark, seeds and foliage"@en

above-ground biomass equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821426

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>W</mi><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><mi>G</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><mi>G</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">−</mo><mi>R</mi><mi>W</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "determine above-ground biomass from total biomass and root weight"@en

accelerationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673688

belongs to
quantity kind c
has facts
described at URL ap Acceleration ep
Wikidata QID ap "Q11376"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Acceleration"@en
specialized by ap particle acceleration ni
specialized by ap material point acceleration ni
specialized by ap gravitational acceleration ni
video ap Gravity%20gravita%20grave.gif ep
description ap "rate at which the magnitude and/or direction of velocity changes with time"@en

accumulated plant biomassni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822021

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "above-ground and roots biomass"@en

accumulated potential above-ground biomassni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821419

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "total potential biomass above-ground"@en

accumulated potential biomassni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821299

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the cumulative dry matter biomass produced by a crop under potential growth conditions. It is obtained by summing daily potential biomass increments over time. The value reflects the maximum attainable biomass prior to stress reduction and partitioning. It serves as the basis for modeling structural development and yield formation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "total potential crop dry matter"@en

accumulated root weight in soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824222

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the accumulated root weight allocated to a specific soil layer up to a specific day. It is a portion of the accumulated total root weight."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "weight of roots in soil layer"@en

accumulated total root weightni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821420

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "total weight of roots"@en

actionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775625

belongs to
quantity kind c
has facts
described at URL ap Action (physics) ep
Wikidata QID ap "Q846785"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Action"@en
specialized by ap reduced Planck constant ni
description ap "physical quantity of dimension energy × time"@en

action potential propagation modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674954

belongs to
mathematical model c
has facts
Description (long) ap "Accounts for the propagation of the action potential. Necessary because Subcellular model only considers isolated processes in one sacomere."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap monodomain equation for action potential propagation ni
described by source ap Q6668629 ep
description ap "propagation of the action potential"@en

active calcium channelsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774854

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "active calcium channels as a species of molecules"@en

active contractile forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673730

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ACE</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ν</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ACE</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><msubsup><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msubsup><mo stretchy="false">⋅</mo><mi>a</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⋅</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>L</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">⋅</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>v</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>ν</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "active force generated by the contractile element"@en

actual plant water use rate in soil layer equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821594

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>5</mn><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mo stretchy="false">(</mo><mi>S</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">−</mo><mi>W</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">−</mo><mi>W</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup></mtd><mtd class="mwe-math-columnalign-l"><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow><mspace width="1em"></mspace><mi>S</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo>&lt;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">−</mo><mi>W</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>W</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow><mspace width="1em"></mspace><mi>S</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">≥</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">−</mo><mi>W</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>W</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation determines the actual plant water use rate from the potential plant water use rate considering the soil moisture. When soil water content falls below a threshold fraction of plant-available water, the use rate declines exponentially. Above this threshold, potential uptake is fully realized. The formulation captures the non-linear response of root water absorption to soil moisture availability."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "determines actual plant water use rate in specific soil layer"@en

adjacency matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673734

belongs to
quantity c
has facts
described at URL ap Adjacency matrix ep
Wikidata QID ap "Q727035"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap influencer individual matrix ni
specialized by ap medium follower matrix ni
specialized by ap individual relationship matrix ni
description ap "square matrix used to represent a graph or network"@en

adjusted nitrogen supply rate in soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822028

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adjusted rate of nitrogen supply in specific soil layer"@en

adjusted nitrogen supply rate in soil layer constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822036

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>N</mi><mi>O</mi><mn>3</mn></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">≤</mo><mi>W</mi><mi>N</mi><mi>O</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Adjusted nitrogen supply should not exceed soil nitrate content"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for the adjusted nitrogen supply rate"@en

adjusted nitrogen uptake equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822037

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mi>U</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>U</mi><mi>N</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>U</mi><mi>N</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation scales the layer-specific nitrogen supply to ensure consistency with total crop nitrogen demand. When mass flow supply exceeds demand, uptake is reduced proportionally across layers; when supply is insufficient, the formulation allows increased uptake, representing diffusion-driven compensation. An upper constraint ensures that uptake from a layer cannot exceed the available nitrate in that layer. The equation produces the actual nitrogen uptake used by the crop model."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "adjusts soil nitrogen supply to crop nitrogen demand"@en

adjustment of nitrogen uptake to crop demandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822041

belongs to
computational task c
has facts
Description (long) ap "This task adjusts the potential nitrogen supply from each soil layer to ensure consistency with crop nitrogen demand. It enforces upper bounds based on soil nitrate availability and allows compensation when mass flow alone is insufficient. The result represents the actual nitrogen uptake used in crop growth calculations."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap plant nitrogen demand rate ni
contains ap nitrogen supply rate in soil layer ni
contains ap nitrogen supply rate of soil ni
contains ap adjusted nitrogen supply rate in soil layer ni
contains ap adjusted nitrogen supply rate in soil layer constraint ni
contains ap adjusted nitrogen uptake equation ni
contains ap computation of crop nitrogen demand ni
contains ap computation of soil nitrogen supply by mass flow ni
contains ap aggregation of soil nitrogen supply ni
description ap "scaling nitrogen uptake to match crop demand"@en

adsorbate partial pressure (equilibrium)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822192

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "partial pressure of adsorbate remaining in the gas phase at adsorption equilibrium"@en

adsorbed gas volume (equlibrium)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822195

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "volume of adsorbate gas adsorbed per unit mass of adsorbent at equilibrium"@en

adsorbed solute (equilibrium)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775715

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of solute adsorbed per unit mass of adsorbent at equilibrium"@en

adsorption energy variationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820959

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "change of adsorption energy with surface coverage"@en

adsorption rate constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822193

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate constant for adsorption process"@en

age of a personni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673735

belongs to
quantity c
has facts
Wikidata QID ap "Q185836"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Ageing ep
description ap "time elapsed since a person (an individual) was born"@en

aggregation of soil nitrogen supplyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822040

belongs to
computational task c
has facts
Description (long) ap "This task aggregates nitrogen supply across all soil layers to determine the total nitrogen available for uptake by the crop on a given day. The result is used to assess whether soil nitrogen supply is sufficient to meet crop nitrogen demand."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap nitrogen supply rate in soil layer ni
contains ap nitrogen supply rate of soil ni
contains ap total soil nitrogen supply equation ni
contains ap computation of soil nitrogen supply by mass flow ni
description ap "compute total nitrogen supply from all soil layers"@en

agricultural hydrologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821603

belongs to
academic discipline c
has facts
Wikidata QID ap "Q2883300"@en
Description (long) ap "Agricultural hydrology examines the movement, availability, and use of water in agricultural landscapes. It integrates soil physics, plant physiology, and atmospheric processes to understand crop water demand and supply. Models of plant water uptake provide essential tools for evaluating irrigation needs, drought impacts, and water-use efficiency. The discipline supports sustainable water management in crop production systems."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap estimation of crop water use ni
description ap "study of water balance components intervening in agricultural water management, especially in irrigation and drainage"@en

agricultural scienceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q124919

belongs to
academic discipline c
has facts
Wikidata QID ap "Q3606845"@en
Description (long) ap "Agricultural science is the academic field concerned with the study of agriculture, food production, and land management using scientific methods. It integrates knowledge from biology, ecology, chemistry, engineering, and economics to improve the efficiency and sustainability of agricultural systems. The field addresses problems such as crop productivity, soil management, resource use, and environmental impacts of farming. Through research and modeling, agricultural science supports evidence-based decision making in food and fiber production. It provides the broader disciplinary context for applied fields such as agronomy, animal science, and agricultural engineering."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap agronomy ni
specialized by ap agricultural hydrology ni
description ap "academic field about agriculture and farming"@en

agronomyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821435

belongs to
academic discipline c
has facts
Wikidata QID ap "Q173113"@en
Description (long) ap "Agronomy is the science and technology of producing and using plants for food, fuel, fiber, and land management. A central concern of the discipline is the estimation and improvement of crop yield under field conditions. Agronomic models translate plant growth processes into practical measures of agricultural productivity. Harvest index–based approaches provide a widely used method to link biomass production with economically relevant yield."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap estimation of crop economic yield ni
contains ap estimation of crop nitrogen uptake under varying soil conditions ni
contains ap estimation of biological nitrogen fixation in legume crops ni
contains ap estimation of phosphorus uptake and demand in crops ni
description ap "science and technology of producing and using plants for food, fuel, fiber, and reclamation"@en

Allee effectni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674126

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow><mo stretchy="false">≥</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Allee effect ep
Wikidata QID ap "Q2301505"@en
Description (long) ap "The Allee effect is used to model the infection rate as a function of population density, where it represents a lower transmission probability in less densely populated regions. We adopt the effect and bound it from below by 1⁄3. This ensures that the effect is at most three times lower in sparsely populated areas than in regions with high population density. To enforce the lower bound, we apply a shift n₀ in the Allee term. We choose n₀ = ³⁄₂·A."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
image ap A%20graph%20showing%20the%20difference%20between%20strong%20and%20weak%20 Allee%20effects.svg ep
named after ap Q6775530 ep
description ap "effect to model the infection rate as a function of population density"@en

Allee thresholdni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673736

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6775530 ep
description ap "population density below which growth becomes negative"@en

alpha subunits (GTP attached)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774845

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "alpha subunits with GTP attached"@en

alpha subunits loaded with GDPni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774847

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "alpha subunits loaded with GDP as a species of molecules"@en

amplitude of electron waveni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673741

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amplitude of the wave function representing an electron"@en

Ampère's circuital lawni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674127

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∇</mi><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow><mo stretchy="false">=</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐉</mi></mrow><mo stretchy="false">+</mo><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>𝐄</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
described at URL ap Amp% C3% A8re%27s circuital law ep
Wikidata QID ap "Q51500"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1461000 ep
description ap "Ampère's circuital law (with Maxwell's addition) relates the integrated magnetic field around a closed loop to the electric current passing through the loop"@en

analytical solutionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775641

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Closed form expression ep
related URL ap Q777407 ep
description ap "solution to a mathematical problem as a closed-form expression"@en

Andrews modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775654

belongs to
mathematical model c
has facts
Description (long) ap "The Andrews model is a mathematical model that describes the specific growth rate of micoorganisms. It modifies the traditional Monod model to account for the negative effects of high substrate concentrations. When the substrate level becomes too high, the specific growth rate decreases due to inhibition. This model is widely used in fermentation and other bioprocesses to predict growth under inhibitory conditions."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Andrews model) ni
community ap Q6534265 ep
contains ap Andrews specific growth rate equation ni
specialized by ap Monod equation ni
described by source ap Q6775657 ep
named after ap Q6775765 ep
description ap "microbial growth model accounting for substrate inhibition"@en

Andrews specific growth rate equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775658

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Monod specific growth rate equation ni
specialized by ap Monod specific growth rate equation ni
named after ap Q6775765 ep
description ap "describes the specific growth rate of micororganisms based on nutrient concentration and inhibition"@en

angleni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821149

belongs to
quantity kind c
has facts
described at URL ap Angle ep
MathWorld ID ap "Angle"@en
Brilliant Wiki ID ap "angles"@en
nLab ID ap "angle"@en
Wikidata QID ap "Q11352"@en
Encyclopedia of Mathematics wiki ID ap "Angle"@en
Great Russian Encyclopedia portal ID ap "ugol-a93f0d"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>1</mn></mstyle></mrow></math>"@en
IUPAC Gold Book ID ap "A00346"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
Treccani Vocabulary ID ap "angolo"@en
Treccani Vocabulary ID ap "angolo_res-81e0c266-adad-11eb-94e0-00271042e8d9"@en
museum-digital tag ID ap "18460"@en
Vikidia article ID ap "eu:Angelu"@en
Vikidia article ID ap "fr:Angle"@en
notation ap Q7271170 ep
QUDT quantity kind ID ap "Angle"@en
specialized by ap azimuthal angle ni
specialized by ap polar angle ni
specialized by ap pendular amplitude ni
Yale LUX ID ap "concept/9b2e82a2-d44e-41a8-9988-a4629b8f0fe1"@en
Wellcome Collection concept ID ap "ab2vdhx4"@en
invariant under ap Q7271181 ep
on focus list of Wikimedia project ap Q56556 ep
on focus list of Wikimedia project ap Q56557 ep
Mathlib Declaration ID ap "InnerProductGeometry.angle"@en
Unicode character ap "∠"@en
Commons category ap "Angles (geometry)"@en
BNCF Thesaurus ID ap "30974"@en
topic's main category ap Q7271169 ep
Freebase ID ap "/m/0mwc"@en
Art & Architecture Thesaurus ID ap "300055620"@en
Quora topic ID ap "Angles"@en
Quora topic ID ap "Titik-Dua"@en
different from ap Q7271171 ep
different from ap Q7271173 ep
different from ap Q7271174 ep
has part(s) ap Q6822549 ep
Iconclass notation ap "49D3212"@en
BabelNet ID ap "00004117n"@en
Encyclopædia Britannica Online ID ap "topic/angle-mathematics"@en
Klexikon article ID ap "Winkel"@en
Australian Educational Vocabulary ID ap "scot/624"@en
OmegaWiki Defined Meaning ap "383175"@en
described by source ap Q160648 ep
described by source ap Q56561 ep
described by source ap Q56564 ep
described by source ap Q56937 ep
described by source ap Q57119 ep
described by source ap Q6480877 ep
described by source ap Q6482585 ep
described by source ap Q7265424 ep
De Agostini ID ap "àngolo+(geometria)"@en
WordNet 3.1 Synset ID ap "13910202-n"@en
Dewey Decimal Classification ap "516.152"@en
National Library of Israel J9U ID ap "987007294852305171"@en
union of ap Q56573 ep
Store norske leksikon ID ap "vinkel_-_matematikk"@en
topic's main template ap Q7271182 ep
Cultureel Woordenboek ID ap "wiskunde/hoek"@en
image ap Coord%20 Angle.svg ep
Stack Exchange tag ap angle ep
subclass of ap Q7271179 ep
subclass of ap Q7271180 ep
MetaSat ID ap "angle"@en
Treccani's Enciclopedia della Matematica ID ap "angolo"@en
Treccani's Enciclopedia Italiana ID ap "angolo"@en
pronunciation audio ap L L Q1571%20%28mar%29 Vj18081991 % E0% A4%95% E0% A5%8 B% E0% A4% A8.wav ep
Treccani ID ap "angolo"@en
OpenAlex ID ap "C2994310760"@en
studied in ap Q7271178 ep
Fandom article ID ap "math:Angle"@en
Den Store Danske ID ap "vinkel"@en
Krugosvet article ap "matematika/ugly-na-ploskosti-i-ikh-izmerenie"@en
schematic ap 01 Winkel 1.svg ep
Bibliothèque nationale de France ID ap "14519948f"@en
GND ID ap "4189964-7"@en
Library of Congress authority ID ap "sh85005042"@en
has characteristic ap Q6822549 ep
description ap "something that is formed when two rays meet at a single or same point"@en

angular momentumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673691

belongs to
quantity kind c
has facts
described at URL ap Angular momentum ep
Wikidata QID ap "Q161254"@en
ISQ dimension ap "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "AngularMomentum"@en
specialized by ap reduced Planck constant ni
zbMATH conecept ID ap "moment of momentum"@en
image ap Angular%20momentum%20circle.png ep
description ap "measure of the extent to which an object will continue to rotate in the absence of an applied torque"@en

angular momentum operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674107

belongs to
quantity c
has facts
described at URL ap Angular momentum operator ep
Wikidata QID ap "Q1190143"@en
Description (long) ap "In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic and molecular physics and other quantum problems involving rotational symmetry."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "quantum mechanical operator related to rotational symmetry"@en

angular velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830625

belongs to
quantity kind c
has facts
described at URL ap Angular velocity ep
Wikidata QID ap "Q161635"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "AngularVelocity"@en
specialized by ap inner cylinder angular velocity ni
specialized by ap outer cylinder angular velocity ni
description ap "rate of change of angular position whose direction is the axis of rotation"@en

anharmonicity constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673742

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Anharmonicity ep
related URL ap Q545228 ep
description ap "deviation of a physical system from being a harmonic oscillator"@en

anharmonicity constant (perturbation theory)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674132

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mo>,</mo><mi>B</mi><mo>,</mo><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ζ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>χ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>r</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>16</mn></mrow></mfrac></mrow><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>r</mi><mi>r</mi><mi>r</mi></mrow></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>16</mn></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>s</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></munderover><msubsup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>r</mi><mi>s</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>8</mn><msubsup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">−</mo><mn>3</mn><msubsup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mn>4</mn><msubsup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">−</mo><msubsup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>χ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>s</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>r</mi><mi>s</mi><mi>s</mi></mrow></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>r</mi><mi>t</mi></mrow></mrow></msub><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>s</mi><mi>s</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msubsup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>s</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">(</mo><msubsup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">−</mo><msubsup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">−</mo><msubsup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>Δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>s</mi><mi>t</mi></mrow></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">+</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>A</mi><mo stretchy="false">(</mo><msubsup><mi>ζ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo>,</mo><mi>s</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>a</mi><mo stretchy="false">)</mo></mrow></mrow></msubsup><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>B</mi><mo stretchy="false">(</mo><msubsup><mi>ζ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo>,</mo><mi>s</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>b</mi><mo stretchy="false">)</mo></mrow></mrow></msubsup><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>C</mi><mo stretchy="false">(</mo><msubsup><mi>ζ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo>,</mo><mi>s</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>c</mi><mo stretchy="false">)</mo></mrow></mrow></msubsup><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">]</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>Δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>s</mi><mi>t</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">(</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">)</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "Considering the comparable magnitude of contributions of cubic anharmonicity in second order and quartic anharmonicity in first order."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Anharmonicity ep
related URL ap Q545228 ep
description ap "anharmonicity constants, derived by using second order (non-degenerate) perturbation theory"@en

applied external voltageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534325

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "external voltage at an Ohmic contact in semiconductor physics|technology"@en

approximate predictive distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775498

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap evaluations posterior predictive distribution ni
contains ap approximation predictive distribution ni
contains ap simulation behavior prediction formulation ni
related URL ap Posterior predictive distribution ep
related URL ap Q7234227 ep
description ap "in Bayesian statistics, the distribution of a new data point marginalized over the posterior"@en

approximation predictive distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775327

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "approximation to predictive distribution p(y ∣ x, X, Y) at point x"@en

archaeologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q65133

belongs to
academic discipline c
has facts
described at URL ap Archaeology ep
Wikidata QID ap "Q23498"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap Egyptology ni
specialized by ap Roman archaeology ni
FactGrid item ID ap "Q245486"@en
image ap Foundation%20nail%20 I M G%200073 black.jpg ep
description ap "study of the past via material culture"@en

areani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673693

belongs to
quantity kind c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><mi>A</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mo stretchy="false">=</mo><mo stretchy="false">∫</mo><mi>d</mi><mi>A</mi></mstyle></mrow></math>"@en
described at URL ap Area ep
described at URL ap geometry area perimeter ep
described at URL ap v2 sat lesson area and volume ep
MathWorld ID ap "Area"@en
nLab ID ap "area"@en
Wikidata QID ap "Q11500"@en
Encyclopedia of Mathematics wiki ID ap "Area"@en
Great Russian Encyclopedia portal ID ap "ploshchad-v-matematike-c79bb2"@en
Wolfram Language quantity ID ap "Area"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
Encyclopedia of Korean Culture ID ap "E0012615"@en
WikiKids ID ap "Oppervlakte"@en
Treccani Vocabulary ID ap "area"@en
Treccani Vocabulary ID ap "area_res-85def1d6-adad-11eb-94e0-00271042e8d9"@en
Vikidia article ID ap "fr:Aire"@en
World of Physics ID ap "Area"@en
Concepticon concept set ID ap "2980"@en
QUDT quantity kind ID ap "Area"@en
specialized by ap cross section ni
specialized by ap area of image ni
Yale LUX ID ap "concept/e45010ca-186b-4371-a925-1b54067f7a01"@en
OpenStreetMap key ap "area"@en
Store medisinske leksikon ID ap "area"@en
recommended unit of measurement ap Q7265428 ep
QUDT dimension ID ap "A0E0L2I0M0H0T0D0"@en
on focus list of Wikimedia project ap Q56556 ep
on focus list of Wikimedia project ap Q56557 ep
Lille norske leksikon ID ap "areal"@en
mathematical inverse ap Q7265434 ep
Commons category ap "Area"@en
BNCF Thesaurus ID ap "39330"@en
topic's main category ap Q7265417 ep
Freebase ID ap "/m/0n0j"@en
PSH ID ap "7492"@en
different from ap Q7265241 ep
different from ap Q7265429 ep
BabelNet ID ap "00005513n"@en
Encyclopædia Britannica Online ID ap "science/area"@en
Australian Educational Vocabulary ID ap "scot/1601"@en
described by source ap Q160648 ep
described by source ap Q7265035 ep
described by source ap Q7265036 ep
described by source ap Q7265424 ep
described by source ap Q7265426 ep
De Agostini ID ap "àrea+(geometria)"@en
KBpedia ID ap "Area"@en
Zhihu topic ID ap "19659100"@en
WordNet 3.1 Synset ID ap "05135784-n"@en
National Library of Israel J9U ID ap "987007295555305171"@en
YSO ID ap "6765"@en
union of ap Q56573 ep
Store norske leksikon ID ap "areal"@en
Wikidata property ap P1096 ep
image ap Squaring%20the%20circle.svg ep
Stack Exchange tag ap area ep
subclass of ap Q6534242 ep
subclass of ap Q6775807 ep
subclass of ap Q7265418 ep
subclass of ap Q7265419 ep
subclass of ap Q7265420 ep
subclass of ap Q7265422 ep
IEV number ap "102-04-33"@en
MetaSat ID ap "area"@en
Namuwiki ID ap "넓이"@en
Treccani's Enciclopedia della Matematica ID ap "area"@en
Treccani's Enciclopedia Italiana ID ap "area"@en
pronunciation audio ap L L Q1571%20%28mar%29 Vj18081991 % E0% A4%95% E0% A5%8 D% E0% A4% B7% E0% A5%87% E0% A4% A4% E0% A5%8 D% E0% A4% B0% E0% A4% A B% E0% A4% B3.wav ep
Dizionario delle Scienze Fisiche ID ap "area"@en
Fandom article ID ap "math:Area"@en
Den Store Danske ID ap "areal"@en
Google Knowledge Graph ID ap "/g/121m79fz"@en
follows ap length ni
followed by ap Q56900 ep
NicoNicoPedia ID ap "面積"@en
Bibliothèque nationale de France ID ap "12172891w"@en
GND ID ap "4193807-0"@en
Library of Congress authority ID ap "sh85006984"@en
Colon Classification ap "C152"@en
Australian Thesaurus of Education Descriptors ID ap "2290"@en
quantity symbol (string) ap "S"@en
quantity symbol (LaTeX) ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
quantity symbol (LaTeX) ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
description ap "measure of the extent of a two-dimensional region on a curved surface or flat plane"@en

area of imageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775328

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "area of image, to be used in image processing methods"@en

artificial boundary interfaceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7284004

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "artificial boundary interface for semiconductor device simulation"@en

artificial neural networkni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675321

belongs to
mathematical model c
has facts
Wikidata QID ap "Q192776"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap loss function model ni
specialized by ap recurrent neural network ni
specialized by ap recurrent neural network surrogate for discrete element method ni
specialized by ap feedforward neural network ni
related URL ap Neural network (machine learning) ep
description ap "computational model used in machine learning, based on connected, hierarchical functions"@en

astronomyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q71225

belongs to
academic discipline c
has facts
described at URL ap Astronomy ep
Wikidata QID ap "Q333"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap estimation of astronomical daylength ni
specialized by ap celestial mechanics ni
FactGrid item ID ap "Q246133"@en
image ap Laser%20 Towards%20 Milky%20 Ways%20 Centre.jpg ep
description ap "scientific study of celestial objects and phenomena"@en

asymptomatic infection rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673753

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant representing the asymptomatic infection rate"@en

asymptomatic recovery rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673754

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant representing the asymptomatic recovery rate"@en

attenuation coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775412

belongs to
quantity kind c
has facts
described at URL ap Attenuation coefficient ep
Wikidata QID ap "Q902086"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "AttenuationCoefficient"@en
specialized by ap attenuation distribution ni
specialized by ap canopy light attenuation coefficient ni
description ap "measure for the exponential reduction of a quantity along a path due to absorption and scattering"@en

attenuation distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775329

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "distribution of attenuation coefficients"@en

attraction dominates repulsion assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775443

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mrow></mfrac></mrow><mo>&lt;</mo><mn>1</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mrow></mfrac></mrow><mo>&lt;</mo><mn>1</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "At close distances the attractive force diminishes due to the presence of the repulsive force."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "attractive forces always dominate repulsive forces"@en

attraction force at opinionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673755

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "attraction force at an individuals opinion by influencers and media"@en

attraction force at opinion formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674135

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℱ</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℱ</mi></mrow><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo>,</mo><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo>,</mo><mi>ρ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>a</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mi>ρ</mi><mo stretchy="false">(</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>φ</mi><mo stretchy="false">(</mo><mo stretchy="false">‖</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo stretchy="false">−</mo><mi>x</mi><mo stretchy="false">‖</mo><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo stretchy="false">−</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><msup><mi>x</mi><mo>&#x2032;</mo></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mi>ρ</mi><mo stretchy="false">(</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>φ</mi><mo stretchy="false">(</mo><mo stretchy="false">‖</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo stretchy="false">−</mo><mi>x</mi><mo stretchy="false">‖</mo><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><msup><mi>x</mi><mo>&#x2032;</mo></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>b</mi><mo stretchy="false">(</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>c</mi><mo stretchy="false">(</mo><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "attraction force at a specific opinion x"@en

average number of molecules of morphogenni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775334

belongs to
quantity c
has facts
Description (long) ap "Subscript i denotes the i-th compartment."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "average number of molecules of species B"@en

average number of molecules of signalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775335

belongs to
quantity c
has facts
Description (long) ap "Subscript i denotes the i-th compartment."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "average number of molecules of species A"@en

average opinion of followers of influencersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673762

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "opinion of the influencers is drawn towards the average opinion of the followers"@en

average opinion of followers of influencers in the partial mean field modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673765

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "opinion of the influencers is drawn towards the average opinion of the followers"@en

average opinion of followers of infuencers formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674136

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></munderover><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation describing the average opinon of the followers of a specific Influencer"@en

average opinion of followers of infuencers in the partial mean field model formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674137

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></munderover><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mi>x</mi><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></munderover><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation describing the average opinon of the followers of a specific influencer in the partial mean field opinion model"@en

average opinion of followers of mediani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673768

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "opinion of the media is drawn towards the average opinion of the followers of that medium"@en

average opinion of followers of media formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674138

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></munderover><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation describing the average opinon of the followers of a specific medium"@en

average opinion of followers of media in the partial mean field modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673770

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "opinion of the media is drawn towards the average opinion of the followers of that medium"@en

average opinion of followers of media in the partial mean field model formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674139

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></munderover><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mi>x</mi><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></munderover><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation describing the average opinon of the followers of a specific medium in the partial field opinion model"@en

azimuthal angleni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673695

belongs to
quantity c
has facts
described at URL ap Azimuth ep
Wikidata QID ap "Q116757767"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Azimuth"@en
image ap Azimuth Altitude%20schematic.svg ep
description ap "angle in the spherical coordinate system"@en

backward Euler methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674269

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><mi>h</mi><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo>,</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
described at URL ap Backward Euler method ep
Wikidata QID ap "Q2736820"@en
Description (long) ap "Similar to the (standard, forward, explicit) Euler method, but differs in that it is an implicit method. The backward Euler method has error of order one in time."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Darcy equation (Euler backward) ni
specialized by ap Stokes equation (Euler backward) ni
named after ap Q6480817 ep
description ap "one of the most basic numerical methods in numerical analysis and scientific computing for the solution of ordinary differential equations"@en

bacterial growthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775643

belongs to
research problem c
has facts
Wikidata QID ap "Q762045"@en
Description (long) ap "The bacterial growth problem examines how bacteria multiply and change over time under varying environmental and nutrient conditions. It explores factors such as temperature, nutrient availability, and competition that influence the rate and extent of bacterial population growth."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Monod equation ni
modelled by ap Andrews model ni
description ap "growth of bacterial colonies"@en

balanced truncationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684550

belongs to
computational task c
has facts
Description (long) ap "The basic principle is to identify a subspace of jointly easily controllable and observable states and then to restrict the dynamics to this subspace, hopefully without changing the overall response of the system too much."@en
Description (long) ap "This approach is based on balancing the controllable and observable subspaces, and exploits the properties of the underlying dynamical system in that it uses the properties of the controllability and observability Gramians to identify suitable small parameters that are sent to 0 to yield a reduced-order system."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap balancing transformation ni
contains ap Lyapunov equation ni
specialized by ap balanced truncation (linear) ni
specialized by ap balanced truncation (bi-linear) ni
described by source ap Q2192448 ep
described by source ap Q6672245 ep
described by source ap Q6672250 ep
description ap "powerful technique to reduce the state-space dimension of a dynamical system"@en

balanced truncation (linear)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684551

belongs to
computational task c
has facts
Description (long) ap "In the case of a linear control system, a useful property of balanced truncation is that it admits easy control of the approximation error when truncating states."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap control system matrix A ni
contains ap control system matrix B ni
contains ap control system matrix C ni
contains ap control system matrix A (reduced) ni
contains ap control system matrix B (reduced) ni
contains ap control system matrix C (reduced) ni
contains ap MOR transformation matrix ni
contains ap initial control state (reduced) ni
contains ap balancing transformation ni
contains ap control system output linear (reduced) ni
contains ap initial condition for control state ni
contains ap control system input linear ni
contains ap control system input linear (reduced) ni
contains ap control system output linear ni
contains ap Lyapunov equation controllability ni
contains ap Lyapunov equation observability ni
description ap "powerful technique to reduce the state-space dimension of a dynamical system with linear input equation"@en

balancing transformationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674140

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">=</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mi>T</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-l"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"></mtd><mtd class="mwe-math-columnalign-l"><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⋱</mo></mtd><mtd class="mwe-math-columnalign-l"></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mn>0</mn></mtd><mtd class="mwe-math-columnalign-l"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>Σ</mi></mstyle></mrow></math>"@en
Description (long) ap "The transformation T is a contragredient transformation and exists whenever 𝑊𝑐 and 𝑊ₒ are symmetric and positive definite. Note that the squared HSVs are the eigenvalues of the product of 𝑊𝑐 and 𝑊ₒ."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "coordinate transformation T under which controllability and observability Gramians become equal and diagonal matrices comprising the Hankel singular values"@en

band edge energy for conduction bandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673783

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "energy of the lower edge of the electronic conduction band"@en

band edge energy for valence bandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673784

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "energy of the upper edge of the electronic valence band"@en

basis functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775413

belongs to
quantity kind c
has facts
described at URL ap Basis function ep
Wikidata QID ap "Q2621825"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "element of a basis for a function space"@en

Baudu adsorption equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821345

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>B</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>B</mi></mrow></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mi>x</mi><mo stretchy="false">+</mo><mi>y</mi></mrow></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mi>x</mi></mrow></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Freundlich equation ni
description ap "concentration-dependent Langmuir-type adsorption equation"@en

Baudu affinity constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821339

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reference adsorption affinity constant"@en

Baudu affinity exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821340

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exponent governing concentration dependence of affinity"@en

Baudu capacity exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821341

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exponent governing concentration dependence of capacity"@en

Baudu concentration-dependent affinity formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821346

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi><mo stretchy="false">=</mo><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "power-law dependence of Langmuir affinity on concentration"@en

Baudu concentration-dependent capacity formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821347

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>B</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>B</mi></mrow></mrow></msub><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "power-law dependence of Langmuir capacity on concentration"@en

Baudu denominator exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821343

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>1</mn><mo stretchy="false">+</mo><mi>x</mi><mo>&lt;</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for exponent in denominator of Baudu equation"@en

Baudu isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821350

belongs to
mathematical model c
has facts
Description (long) ap "The Baudu isotherm model is an empirical adsorption model derived from the Langmuir equation by allowing both the adsorption affinity and the monolayer capacity to vary with equilibrium concentration. It was introduced to account for systematic deviations from constant Langmuir parameters observed over wide concentration ranges. By expressing the Langmuir constants as power-law functions of concentration, the model captures surface heterogeneity and concentration-dependent adsorption behavior. At low surface coverage, the Baudu model reduces to the Freundlich isotherm, while retaining a monolayer adsorption structure. The model has been reported to provide improved fits compared with other four-parameter monolayer isotherms in liquid-phase adsorption systems."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Baudu model) ni
community ap Q6534265 ep
contains ap Baudu denominator exponent constraint ni
contains ap Baudu numerator exponent constraint ni
contains ap Baudu adsorption equation ni
contains ap Baudu concentration-dependent affinity formulation ni
contains ap Baudu concentration-dependent capacity formulation ni
specialized by ap Freundlich isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821348 ep
described by source ap Q6821374 ep
description ap "empirical four-parameter monolayer adsorption isotherm"@en

Baudu monolayer adsorption capacityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821338

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reference monolayer adsorption capacity parameter"@en

Baudu numerator exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821344

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>1</mn><mo stretchy="false">+</mo><mi>x</mi><mo stretchy="false">+</mo><mi>y</mi><mo>&lt;</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for exponent in numerator of Baudu equation"@en

Bayesian statisticsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775506

belongs to
academic discipline c
has facts
described at URL ap Bayesian statistics ep
Wikidata QID ap "Q4874481"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap predicting simulation error and runtime ni
related URL ap Bayesian inference ep
named after ap Q6481087 ep
description ap "statistical approach combining prior knowledge with observed data predictions"@en

Beavers-Joseph coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673785

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6672254 ep
named after ap Q6672255 ep
description ap "coefficient for the coupling of a Stokes model and a Darcy model"@en

Beavers–Joseph-Saffman conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674153

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>K</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>τ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">f</mi><mi mathvariant="normal">f</mi><mo>,</mo><mi mathvariant="normal">p</mi><mi mathvariant="normal">m</mi></mrow></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>B</mi><mi>J</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">[</mo><mo stretchy="false">(</mo><mi>v</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><msqrt><mi>K</mi></msqrt></mrow><mo stretchy="false">(</mo><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">B</mi><mi mathvariant="normal">J</mi></mrow></mrow></mrow></msub><mi>μ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mi>τ</mi><mi>n</mi><mo stretchy="false">)</mo><mo stretchy="false">⋅</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">f</mi><mi mathvariant="normal">f</mi><mo>,</mo><mi mathvariant="normal">p</mi><mi mathvariant="normal">m</mi></mrow></mrow></mrow></msub><msup><mo stretchy="false">]</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup><mo stretchy="false">=</mo><mn>0</mn><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">o</mi><mi mathvariant="normal">n</mi></mrow></mrow><mspace width="1em"></mspace><mi>Γ</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6672253 ep
described by source ap Q6672256 ep
named after ap Q1139987 ep
named after ap Q6672254 ep
named after ap Q6672255 ep
description ap "boundary condition between an unconfined incompressible viscous fluid (Stokes model) and fluid inside a porous medium (Darcy model)"@en

between population contact rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673792

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≡</mo><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">≠</mo><mi>i</mi></mrow></mrow></munder><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mo lspace="0" rspace="0">/</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "Used in multi-population models."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "contact rate of one sub-population with all other sub-populations"@en

bi bi reaction following Theorell-Chance mechanismni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684642

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction Theorell-Chance mechanism (ODE model) ni
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "bi bi reaction with a Theorell-Chance mechanism"@en

bi bi reaction ordered mechanism (ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675335

belongs to
mathematical model c
has facts
Description (long) ap "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - substrate 1 - substrate 2 - complex, enzyme - product 1 - product 2 - complex, enzyme - product 1 complex and product 1 and 2 in a Bi Bi Reaction following the Ordered Mechanism. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI profile type ap Q6534270 ep
used by ap parameter estimation of enzyme kinetics ni
used by ap sensitivity analysis of complex kinetic systems ni
used by ap simulation of complex kinetic systems ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap bi bi reaction ordered mechanism ODE system ni
contains ap enzyme conservation ni
contains ap initial enzyme concentration (bi bi reaction ordered - ODE model) ni
contains ap initial enzyme - product 1 - complex concentration (bi bi reaction ordered - ODE model) ni
contains ap initial enzyme - product 1 - product 2 - complex concentration (bi bi reaction ordered - ODE model) ni
contains ap initial enzyme - substrate 1 - complex concentration (bi bi reaction ordered - ODE model) ni
contains ap initial enzyme - substrate 1 - substrate 2 - complex concentration (bi bi reaction ordered - ODE model) ni
contains ap initial product 1 concentration (bi bi reaction ordered - ODE model) ni
contains ap initial product 2 concentration (bi bi reaction ordered - ODE model) ni
contains ap initial substrate 1 concentration (bi bi reaction ordered - ODE model) ni
contains ap initial substrate 2 concentration (bi bi reaction ordered - ODE model) ni
specialized by ap bi bi reaction ordered mechanism Michaelis Menten model with product 1 (steady state assumption) ni
specialized by ap bi bi reaction ordered mechanism Michaelis Menten model with product 2 (steady state assumption) ni
specialized by ap bi bi reaction ordered mechanism Michaelis Menten model with products 1 and 2 (steady state assumption) ni
specialized by ap bi bi reaction ordered mechanism Michaelis Menten model without products (steady state assumption) ni
description ap "bi bi reaction model following an ordered mechanism"@en

bi bi reaction ordered mechanism ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674163

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap enzyme - product 1 - product 2 - complex concentration ODE (bi bi reaction ordered) ni
contains ap enzyme - product 1 - complex concentration ODE (bi bi reaction ordered) ni
contains ap enzyme - substrate 1 - substrate 2 - complex concentration ODE (bi bi reaction ordered) ni
contains ap enzyme - substrate 1 - complex concentration ODE (bi bi reaction ordered) ni
contains ap enzyme concentration ODE (bi bi reaction ordered) ni
contains ap product 1 concentration ODE (bi bi reaction ordered) ni
contains ap product 2 concentration ODE (bi bi reaction ordered) ni
contains ap substrate 1 concentration ODE (bi bi reaction ordered) ni
contains ap substrate 2 concentration ODE (bi bi reaction ordered) ni
description ap "system of ordinary differential equations describing a bi bi reaction with an ordered mechanism"@en

bi bi reaction ordered mechanism with single central complex (ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675337

belongs to
mathematical model c
has facts
Description (long) ap "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 - complex, enzyme - product 1 - complex and product 1 and 2 in a Bi Bi Reaction following the Ordered Mechanism with a Single Central Complex. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI profile type ap Q6534270 ep
used by ap parameter estimation of enzyme kinetics ni
used by ap sensitivity analysis of complex kinetic systems ni
used by ap simulation of complex kinetic systems ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap initial enzyme concentration (bi bi reaction ordered - ODE model) ni
contains ap initial enzyme - product 1 - complex concentration (bi bi reaction ordered - ODE model) ni
contains ap initial enzyme - substrate 1 - complex concentration (bi bi reaction ordered - ODE model) ni
contains ap initial product 1 concentration (bi bi reaction ordered - ODE model) ni
contains ap initial product 2 concentration (bi bi reaction ordered - ODE model) ni
contains ap initial substrate 1 concentration (bi bi reaction ordered - ODE model) ni
contains ap initial substrate 2 concentration (bi bi reaction ordered - ODE model) ni
contains ap bi bi reaction ordered mechanism with single central complex ODE system ni
contains ap initial enzyme - substrate 1 - substrate 2 = enzyme product 1 - product 2 - complex concentration (bi bi reaction ordered with single central compelx - ODE model) ni
specialized by ap bi bi reaction ordered mechanism Michaelis Menten model with product 1 and single central complex (steady state assumption) ni
specialized by ap bi bi reaction ordered mechanism Michaelis Menten model with product 2 and single central complex (steady state assumption) ni
specialized by ap bi bi reaction ordered mechanism Michaelis Menten model with products 1 and 2 and single central complex (steady state assumption) ni
specialized by ap bi bi reaction ordered mechanism Michaelis Menten model without products and single central complex (steady state assumption) ni
description ap "bi bi reaction with single central complex model following an ordered mechanism"@en

bi bi reaction ordered mechanism with single central complex ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674174

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap enzyme - product 1 - complex concentration ODE (bi bi reaction ordered with single central complex) ni
contains ap enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 - complex concentration ODE (bi bi reaction ordered with single central complex) ni
contains ap enzyme - substrate 1 - complex concentration ODE (bi bi reaction ordered with single central complex) ni
contains ap enzyme concentration ODE (bi bi reaction ordered with single central complex) ni
contains ap product 1 concentration ODE (bi bi reaction ordered with single central complex) ni
contains ap product 2 concentration ODE (bi bi reaction ordered with single central complex) ni
contains ap substrate 1 concentration ODE (bi bi reaction ordered with single central complex) ni
contains ap substrate 2 concentration ODE (bi bi reaction ordered with single central complex) ni
description ap "system of ordinary differential equations describing a bi bi reaction with an ordered mechanism and Single Central complex"@en

bi bi reaction ping pong mechanism (ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675346

belongs to
mathematical model c
has facts
Description (long) ap "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, intermediate, intermediate - substrate 2 - complex, product 1 and 2) in a Bi Bi Reaction following the Ping Pong Mechanism. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI profile type ap Q6534270 ep
used by ap parameter estimation of enzyme kinetics ni
used by ap sensitivity analysis of complex kinetic systems ni
used by ap simulation of complex kinetic systems ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap bi bi reaction ping pong mechanism ODE system ni
contains ap initial enzyme concentration (bi bi reaction ping pong - ODE model) ni
contains ap initial enzyme - substrate 1 - complex concentration (bi bi reaction ping pong - ODE model) ni
contains ap initial intermediate concentration (bi bi reaction ping pong - ODE model) ni
contains ap initial intermediate - substrate 2 - complex concentration (bi bi reaction ping pong - ODE model) ni
contains ap initial product 1 concentration (bi bi reaction ping pong - ODE model) ni
contains ap initial product 2 concentration (bi bi reaction ping pong - ODE model) ni
contains ap initial substrate 1 concentration (bi bi reaction ping pong - ODE model) ni
contains ap initial substrate 2 concentration (bi bi reaction ping pong - ODE model) ni
specialized by ap bi bi reaction ping pong mechanism Michaelis Menten model with product 1 (steady state assumption) ni
specialized by ap bi bi reaction ping pong mechanism Michaelis Menten model with product 2 (steady state assumption) ni
specialized by ap bi bi reaction Ping Pong mechanism Michaelis Menten model with products 1 and 2 (steady state assumption) ni
specialized by ap bi bi reaction ping pong mechanism Michaelis Menten model without products (steady state assumption) ni
described by source ap Q6672329 ep
description ap "bi bi reaction model following a ping-pong mechanism"@en

bi bi reaction ping pong mechanism ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674203

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap enzyme - substrate 1 - complex concentration ODE (bi bi reaction ping pong) ni
contains ap enzyme concentration ODE (bi bi reaction ping pong) ni
contains ap intermediate concentration ODE (bi bi reaction ping pong) ni
contains ap intermediate - substrate 2 - complex concentration ODE (bi bi reaction ping pong) ni
contains ap product 1 concentration ODE (bi bi reaction ping pong) ni
contains ap product 2 concentration ODE (bi bi reaction ping pong) ni
contains ap substrate 1 concentration ODE (bi bi reaction ping pong) ni
contains ap substrate 2 concentration ODE (bi bi reaction ping pong) ni
description ap "system of ordinary differential equations describing a bi bi reaction with a ping pong mechanism"@en

bi bi reaction Theorell-Chance mechanism (ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675351

belongs to
mathematical model c
has facts
Description (long) ap "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - product 2 - complex, product 1 and 2) in a Bi Bi Reaction following the Theorell-Chance Mechanism. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI profile type ap Q6534270 ep
used by ap parameter estimation of enzyme kinetics ni
used by ap sensitivity analysis of complex kinetic systems ni
used by ap simulation of complex kinetic systems ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap bi bi reaction Theorell-Chance mechanism ODE system ni
contains ap initial enzyme concentration (bi bi reaction Theorell-Chance - ODE model) ni
contains ap initial enzyme - product 2 - complex concentration (bi bi reaction Theorell-Chance - ODE model) ni
contains ap initial enzyme - substrate 1 - complex concentration (bi bi reaction Theorell-Chance - ODE model) ni
contains ap initial product 1 concentration (bi bi reaction Theorell-Chance - ODE model) ni
contains ap initial product 2 concentration (bi bi reaction Theorell-Chance - ODE model) ni
contains ap initial substrate 1 concentration (bi bi reaction Theorell-Chance - ODE model) ni
contains ap initial substrate 2 concentration (bi bi reaction Theorell-Chance - ODE model) ni
specialized by ap bi bi reaction Theorell-Chance mechanism Michaelis Menten model with product 1 (steady state assumption) ni
specialized by ap bi bi reaction Theorell-Chance mechanism Michaelis Menten model with product 2 (steady state assumption) ni
specialized by ap bi bi reaction Theorell-Chance mechanism Michaelis Menten model with products 1 and 2 (steady state assumption) ni
specialized by ap bi bi reaction Theorell-Chance mechanism Michaelis Menten model without products (steady state assumption) ni
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "bi bi reaction model following a Theorell-Chance mechanism"@en

bi bi reaction Theorell-Chance mechanism ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674226

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow 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data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow 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description ap "system of ordinary differential equations describing a bi bi reaction with a Theorell-Chance mechanism"@en

binary decision variableni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674018

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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
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related URL ap Mathematische Definition und Begriffe ep
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description ap "binary variable deciding if an object is chosen or not"@en

biochemistryni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q118773

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biodistribution of gamma-radiation emitting radiotracers in vivoni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775509

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biological wastewater treatmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775664

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Wikidata QID ap "Q10429773"@en
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description ap "removing contaminants from wastewater through the metabolic activity of microorganisms"@en

biologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q59666

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academic discipline c
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Online PWN Encyclopedia ID ap "3877837"@en
Encyclopedia of Modern Ukraine ID ap "35319"@en
Catholic Encyclopedia ID ap "02572a"@en
UMLS CUI ap "C0005532"@en
NCI Thesaurus ID ap "C16345"@en
Personality Database profile ID ap "256161"@en
Google News topics ID ap "CAAqJQgKIh9DQkFTRVFvSUwyMHZNREUxTkRBU0JXVnVMVWRDS0FBUAE"@en
Basisklassifikation ap "42"@en
Latvian National Encyclopedia Online ID ap "944"@en
Bibliothèque nationale de France ID ap "119440835"@en
GND ID ap "4006851-1"@en
Biblioteca Nacional de España ID ap "XX524700"@en
Library of Congress authority ID ap "sh85014203"@en
Canadian Encyclopedia article ID ap "biology"@en
Great Aragonese Encyclopedia ID ap "2333"@en
Colon Classification ap "G"@en
NDL Authority ID ap "00570263"@en
Larousse ID ap "divers/biologie/27091"@en
Fandom wiki ID ap "biology"@en
is the study of ap Q7272033 ep
is the study of ap Q7272034 ep
UNBIS Thesaurus ID ap "1000619"@en
Australian Thesaurus of Education Descriptors ID ap "1951"@en
has characteristic ap Q69307 ep
has characteristic ap Q7272052 ep
description ap "scientific study of living things, especially their structure, function, growth, evolution, and distribution"@en

biomass concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775669

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of biomass present in a reaction environment"@en

biomass growth rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775671

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate of change of microbial biomass concentration over time"@en

biomass kinetic equation (Haldane)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775676

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>X</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>X</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow><mi>X</mi><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub><mi>X</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Andrews specific growth rate equation ni
specialized by ap biomass kinetic equation (Monod) ni
named after ap Q1437088 ep
description ap "equation describing the rate of change of biomass concentration over time following Haldane"@en

biomass kinetic equation (Monod)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775674

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>X</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>X</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow><mi>X</mi><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub><mi>X</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Monod specific growth rate equation ni
named after ap Q6775763 ep
description ap "equation describing the rate of change of biomass concentration over time following Monod"@en

biomass-substrate kinetic equations (Haldane)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775682

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>X</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>X</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow><mi>X</mi><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub><mi>X</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Y</mi><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mi>X</mi></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap biomass kinetic equation (Haldane) ni
contains ap substrate kinetic equation (Haldane) ni
specialized by ap biomass-substrate kinetic equations (Monod) ni
named after ap Q1437088 ep
description ap "interaction between biomass growth and substrate biodegradation in a batch reactor following Haldane"@en

biomass-substrate kinetic equations (Monod)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775681

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>X</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>X</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow><mi>X</mi><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub><mi>X</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Y</mi><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mi>X</mi></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap biomass kinetic equation (Monod) ni
contains ap substrate kinetic equation (Monod) ni
named after ap Q6775763 ep
description ap "interaction between biomass growth and substrate biodegradation in a batch reactor following Monod"@en

biomechanicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684696

belongs to
academic discipline c
has facts
described at URL ap Biomechanics ep
Wikidata QID ap "Q193378"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap muscle contraction ni
image ap Giovanni%20 Borelli%20 %20lim%20joints%20%28 De%20 Motu%20 Animalium%29.jpg ep
description ap "study of the structure and function of the mechanical aspects of biological systems"@en

biophysicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684697

belongs to
academic discipline c
has facts
described at URL ap Biophysics ep
Wikidata QID ap "Q7100"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap biomechanics ni
image ap Protein%20translation.gif ep
subclass of ap Q58571 ep
subclass of ap biology ni
description ap "study of biological systems using methods from the physical sciences"@en

biotechnologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q68779

belongs to
academic discipline c
has facts
Wikidata QID ap "Q7108"@en
Description (long) ap "Biotechnology is the use of living organisms or their systems to develop products and technologies that improve human life. It combines biology, chemistry, and technology to solve problems in medicine, agriculture, and industry. Scientists use biotechnology to create genetically modified crops, produce vaccines, and develop biofuels. It has the potential to enhance health, increase food production, and protect the environment."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap biological wastewater treatment ni
image ap Faculty%20of%20 Food%20 Engineering%20and%20 Biotechnology%204.jpg ep
description ap "use of living systems and organisms to develop or make useful products"@en

birth rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673824

belongs to
quantity c
has facts
described at URL ap Birth rate ep
Wikidata QID ap "Q203516"@en
Description (long) ap "Birth Rate to be used in the SIR and SIS Models with Births and Deaths. Note that, it is assumed that death rate = birth rate."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "total number of live births per 1,000 population divided by the length of a given period in years"@en

body forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775589

belongs to
quantity c
has facts
described at URL ap Body force ep
Wikidata QID ap "Q1759756"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap force density ni
description ap "force that acts throughout the volume of a body"@en

Boltzmann approximation for electronsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674241

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>q</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo stretchy="false">−</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6482852 ep
description ap "Boltzmann approximation for electrons; for use in semiconductor physics"@en

Boltzmann approximation for holesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674242

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>q</mi><mo stretchy="false">(</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">−</mo><mi>ψ</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6482852 ep
description ap "Boltzmann approximation for holes; for use in semiconductor physics"@en

Boltzmann constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673825

belongs to
quantity c
has facts
described at URL ap Boltzmann constant ep
Wikidata QID ap "Q5962"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT constant ID ap "BoltzmannConstant"@en
named after ap Q6482852 ep
description ap "physical constant relating the average relative thermal energy with the thermodynamic temperature"@en

Boltzmann equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775444

belongs to
formula c
has facts
described at URL ap Boltzmann equation ep
Wikidata QID ap "Q891653"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Boltzmann equation for moving particles ni
specialized by ap Boltzmann equation for moving particles (time continuous, no scatter assumption) ni
specialized by ap Boltzmann equation for moving particles (time continuous) ni
named after ap Q6482852 ep
description ap "describes the statistical behaviour of a thermodynamic system not in a state of equilibrium"@en

Boltzmann equation for moving particlesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775445

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mspace width="0.167em"></mspace><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>θ</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>θ</mi><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mi>u</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>θ</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>u</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>θ</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>s</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mrow></msub><mi>u</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><msup><mi>θ</mi><mo>&#x2032;</mo></msup><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>σ</mi><mo stretchy="false">(</mo><mi>θ</mi><mo>,</mo><msup><mi>θ</mi><mo>&#x2032;</mo></msup><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><msup><mi>θ</mi><mo>&#x2032;</mo></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Boltzmann equation for moving particles (time continuous) ni
related URL ap Boltzmann equation ep
related URL ap Q891653 ep
named after ap Q6482852 ep
description ap "special version of the Boltzmann equation for moving particles"@en

Boltzmann equation for moving particles (time continuous)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775447

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mi>u</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>u</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>s</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mrow></msub><mi>u</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><msup><mi>θ</mi><mo>&#x2032;</mo></msup><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>σ</mi><mo stretchy="false">(</mo><mi>θ</mi><mo>,</mo><msup><mi>θ</mi><mo>&#x2032;</mo></msup><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><msup><mi>θ</mi><mo>&#x2032;</mo></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Boltzmann equation for moving particles (time continuous, no scatter assumption) ni
related URL ap Boltzmann equation ep
related URL ap Q891653 ep
named after ap Q6482852 ep
description ap "special version of the Boltzmann equation for moving particles, time continuous"@en

Boltzmann equation for moving particles (time continuous, no scatter assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775446

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mi>u</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>u</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap particle movement on a line ni
related URL ap Boltzmann equation ep
related URL ap Q891653 ep
named after ap Q6482852 ep
description ap "special version of the Boltzmann equation for moving particles, time continuous, no scattering"@en

Boltzmann transport modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6829683

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Boltzmann equation ni
contains ap Boltzmann equation for moving particles ni
contains ap Boltzmann equation for moving particles (time continuous) ni
description ap "describing particle transport with collisions"@en

Boolean ringni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673833

belongs to
quantity c
has facts
described at URL ap Boolean ring ep
Wikidata QID ap "Q2634401"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q1564361 ep
description ap "in mathematics, a ring that consists of only idempotent elements"@en

boundary conditions of electrophysiological muscle ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674243

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>˙</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd><msub><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo>,</mo></mtd><mtd><msub><mover><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mover><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo>,</mo></mtd><mtd><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo stretchy="false">)</mo><mo>,</mo></mtd><mtd><mrow data-mjx-texclass="ORD"><mtext>on&#xA0;</mtext></mrow><mi>∂</mi><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></mrow></msub></mtd></mtr><mtr><mtd><msub><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo>,</mo></mtd><mtd><msub><mover><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mover><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo>,</mo></mtd><mtd><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo stretchy="false">)</mo><mo>,</mo></mtd><mtd><mrow data-mjx-texclass="ORD"><mtext>on</mtext></mrow><mi>∂</mi><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></mrow></msub></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "kinematic and dynamic conditions at the interfaces beween each muscle and the tendon"@en

Brownian dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675382

belongs to
mathematical model c
has facts
described at URL ap Brownian dynamics ep
Wikidata QID ap "Q4976526"@en
MaRDI profile type ap Q6534270 ep
used by ap classical time evolution ni
community ap Q6534265 ep
contains ap Brownian equation ni
named after ap Q6775529 ep
description ap "mathematical model for describing molecular systems in the diffusive regime"@en

Brownian equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674258

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>B</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow><mi>t</mi></mrow></mrow></mfrac></mrow><mi>q</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>B</mtext></mrow></mrow></msub><mi>T</mi></mrow></mrow></mfrac></mrow><mi>F</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>D</mi></mrow></msqrt></mrow><mi>R</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Brownian dynamics ep
related URL ap Brownian motion ep
related URL ap Q178036 ep
named after ap Q6775529 ep
description ap "special case of a classical equation of motion where no average acceleration takes place"@en

built-in potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7284038

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "semiconductor equilibrium potential that balances carrier diffusion by drift, yielding zero net current"@en

calculation of deformation and concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684557

belongs to
computational task c
has facts
Description (long) ap "For given external bulk force density, external surface force density, fixed boundary values and external chemical potential."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap concentration ni
contains ap deformation ni
contains ap fluid intrinsic permeability (porous medium) ni
contains ap external chemical potential ni
contains ap external force density ni
contains ap free energy density ni
contains ap hydraulic conductivity ni
contains ap hyperstress potential ni
contains ap mechanical deformation (boundary value) ni
contains ap surface force density ni
contains ap viscous dissipation potential ni
contains ap poro-visco-elastic diffusion boundary condition ni
contains ap poro-visco-elastic diffusion equation ni
contains ap poro-visco-elastic (Dirichlet boundary) ni
contains ap poro-visco-elastic (Neumann boundary) ni
contains ap poro-visco-elastic quasistatic equation ni
description ap "simultaneously compute the coupled evolution of the deformation and the concentration poro-visco-elastic material"@en

canopy light attenuation coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821282

belongs to
quantity c
has facts
Description (long) ap "This coefficient quantifies the exponential attenuation of incoming radiation as it passes through a plant canopy. It represents the combined effects of absorption and scattering by leaves and other plant organs. The parameter is used in Beer–Lambert type equations to estimate radiation interception from leaf area index. Its value depends on canopy architecture and leaf orientation. It is a specialization of a general attenuation coefficient applied to plant canopies."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "attenuation of light within a plant canopy"@en

capacitanceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673701

belongs to
quantity kind c
has facts
described at URL ap Capacitance ep
Wikidata QID ap "Q164399"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Capacitance"@en
specialized by ap membrane capacitance ni
image ap Capacitance%20 Meter%2009%20%2817640441390%29.jpg ep
description ap "ability of a body to store electrical charge"@en

Cartesian coordinate systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775606

belongs to
quantity kind c
has facts
described at URL ap Cartesian coordinate system ep
Wikidata QID ap "Q62912"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
contains ap Cartesian coordinate x ni
contains ap Cartesian coordinate y ni
contains ap Cartesian coordinate z ni
image ap Kartesisches%20system.svg ep
named after ap Q6775611 ep
description ap "coordinate system that specifies each point uniquely by a pair or triple of real numbers called coordinates"@en

Cartesian coordinate xni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775608

belongs to
quantity kind c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6775611 ep
description ap "x-coordinate of a point in space"@en

Cartesian coordinate yni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775609

belongs to
quantity kind c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6775611 ep
description ap "y-coordinate of a point in space"@en

Cartesian coordinate zni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775610

belongs to
quantity kind c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6775611 ep
description ap "z-coordinate of a point in space"@en

Cauchy momentum equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775586

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mi>σ</mi><mo stretchy="false">+</mo><mi>F</mi><mo stretchy="false">=</mo><mi>ρ</mi><mover><mi>u</mi><mo>¨</mo></mover></mstyle></mrow></math>"@en
described at URL ap Cauchy momentum equation ep
Wikidata QID ap "Q4178434"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Cauchy momentum equation: elastostatic limit, no body forces ni
related URL ap Balance of linear momentum ep
named after ap Q6480452 ep
description ap "vector partial differential equation describing non-relativistic momentum transport in a continuum"@en

Cauchy momentum equation: coefficient matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775773

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><munder><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>Ω</mi></mrow></munder><mi>ε</mi><mo stretchy="false">(</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">:</mo><mi>σ</mi><mo stretchy="false">(</mo><mi>ε</mi><mo stretchy="false">(</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6480452 ep
description ap "coefficient matrix for the discretized version of a Cauchy momentum equation"@en

Cauchy momentum equation: constant vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775775

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≡</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>Ω</mi></mrow></mrow></msub><mi>t</mi><mo stretchy="false">⋅</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>d</mi><mi>s</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6480452 ep
description ap "constant vector for the discretized version of a Cauchy momentum equation"@en

Cauchy momentum equation: elastostatic limit, no body forcesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775585

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mi>σ</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "For the elastostatic limit (no velocities or accelerations and for the special case of vanishing body forces), the divergence of the stress tensor has to vanish everywhere in the computational domain. Does this equation have a specific name?"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
has weak formulation ap Cauchy momentum equation: weak formulation ni
named after ap Q6480452 ep
description ap "vector partial differential equation describing non-relativistic momentum transport in a continuum"@en

Cauchy momentum equation: unknown vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775774

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></munderover></mstyle><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6480452 ep
description ap "solution vector for the discretized version of a Cauchy momentum equation"@en

Cauchy momentum equation: weak formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775619

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>Ω</mi></mrow></msub><mi>ε</mi><mo stretchy="false">(</mo><mi>v</mi><mo stretchy="false">)</mo><mo stretchy="false">:</mo><mi>σ</mi><mo stretchy="false">(</mo><mi>ε</mi><mo stretchy="false">(</mo><mi>u</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>Ω</mi></mrow></mrow></msub><mi>t</mi><mo stretchy="false">⋅</mo><mi>v</mi><mi>d</mi><mi>s</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>B</mi><mo stretchy="false">(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>f</mi><mo stretchy="false">(</mo><mi>v</mi><mo stretchy="false">)</mo><mspace width="1em"></mspace><mi mathvariant="normal">∀</mi><mi>v</mi></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap Cauchy momentum equation: weak formulation, discretized ni
related URL ap linearelasticity.html ep
named after ap Q6480452 ep
description ap "weak formulation of the Cauchy momentum equation for a plate with a hole"@en

Cauchy momentum equation: weak formulation, discretizedni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775737

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi><mi>α</mi><mo stretchy="false">=</mo><mi>f</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480452 ep
description ap "discretized version of the weak formulation of the Cauchy momentum equation"@en

Cauchy stress tensorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674119

belongs to
quantity c
has facts
described at URL ap Cauchy stress tensor ep
Wikidata QID ap "Q13409892"@en
Description (long) ap "In the case of finite deformations, the Cauchy stress tensors express the stress relative to the present configuration. This is in contrast to the Piola–Kirchhoff stress tensor which expresses the stress relative to the reference configuration. For infinitesimal deformations and rotations, the Cauchy and Piola–Kirchhoff tensors are identical."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6480452 ep
description ap "stress relative to the present configuration"@en

celestial mechanicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684698

belongs to
academic discipline c
has facts
described at URL ap Celestial mechanics ep
Wikidata QID ap "Q184274"@en
Description (long) ap "Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to produce ephemeris data."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap solar system mechanics ni
image ap Angular%20 Parameters%20of%20 Elliptical%20 Orbit.png ep
description ap "branch of astronomy that deals with the motions of objects in outer space"@en

center of massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673847

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝒓</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒓</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒓</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">G</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒓</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">G</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">D</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mi>𝒓</mi></mrow><mi>ρ</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>V</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">D</mi></mrow></mrow></msub><mi>ρ</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>V</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒓</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">G</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mi>𝒓</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mrow data-mjx-texclass="ORD"><mi>𝒓</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Center of mass ep
Wikidata QID ap "Q2945123"@en
Great Russian Encyclopedia portal ID ap "tsentr-inertsii-f43888"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
Yale LUX ID ap "concept/746eaea7-1f79-4e4c-8312-dce9a3a0ab99"@en
Unified Astronomy Thesaurus ID ap "216"@en
Wellcome Collection concept ID ap "jmqq4abb"@en
Commons category ap "Center of gravity"@en
BNCF Thesaurus ID ap "18757"@en
Freebase ID ap "/m/017gpx"@en
different from ap Q7272893 ep
JSTOR topic ID ap "center-of-mass"@en
BabelNet ID ap "00017146n"@en
Encyclopædia Britannica Online ID ap "science/center-of-mass"@en
Encyclopædia Britannica Online ID ap "science/center-of-mass-reference-frame"@en
described by source ap Q56561 ep
described by source ap Q7271051 ep
National Library of Israel J9U ID ap "987007284973605171"@en
Store norske leksikon ID ap "massesenter"@en
subclass of ap position vector ni
subclass of ap Q7272890 ep
subclass of ap Q74980 ep
Microsoft Academic ID ap "31733177"@en
IEV number ap "113-03-12"@en
studied in ap Q7272892 ep
Den Store Danske ID ap "massemidtpunkt"@en
Encyclopedia of China (Third Edition) ID ap "109908"@en
Encyclopedia of China (Third Edition) ID ap "224818"@en
Krugosvet article ap "nauka_i_tehnika/fizika/TSENTR_MASS.html"@en
video ap % D0% A6% D0% B5% D0% B D% D1%82% D1%80%20% D1%82% D1%8 F% D0% B6% D0% B5% D1%81% D1%82% D0% B8.webm ep
Bibliothèque nationale de France ID ap "11983251p"@en
Library of Congress authority ID ap "sh85021847"@en
Larousse ID ap "divers/centre_dinertie_dun_système_de_points_matériels/61109"@en
description ap "unique point where the weighted relative position of a distributed mass sums to zero"@en

center of provinceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673848

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "centers of the respective provinces"@en

centrifugal distortion constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673849

belongs to
quantity c
has facts
Description (long) ap "This distortion leads to changes in bond distance and angles, affecting the rotational spectrum."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Rigid rotor ep
related URL ap Rotational spectroscopy ep
description ap "distortion of a molecule caused by the centrifugal force produced by rotation"@en

change in daylengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821286

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the daily change in daylength relative to the previous day. It accounts for seasonal variation in photoperiod. It modifies the radiation-driven biomass production term. The quantity introduces a temporal adjustment to potential growth."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "daily change in daylight duration"@en

change in lengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673850

belongs to
quantity c
has facts
Wikidata QID ap "Q91308394"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap displacement muscle tendon ni
description ap "difference between the current and the original (equilibrium) length"@en

change in opinions of individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674250

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐳</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐳</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>d</mi><mi>t</mi><mo stretchy="false">+</mo><mi>σ</mi><mi>d</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Individuals i = 1,...,N adapt their opinions in time according to this stochastic differential equation (SDE)."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "opinion adaption of individuals over time"@en

change in opinions of influencersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674251

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>σ</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>W</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi><mi>d</mi><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>x</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>t</mi><mo stretchy="false">+</mo><mover><mi>σ</mi><mo stretchy="false">̂</mo></mover><mi>d</mi><msub><mover><mi>W</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Influencers l= 1,. . . , L slowly change their opinions in the direction of their average followership according to this Stochastic differential equation."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "opinion adaption of influencers over time"@en

change in opinions of influencers in the partial mean field modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674252

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>σ</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>W</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi><mi>d</mi><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>x</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>t</mi><mo stretchy="false">+</mo><mover><mi>σ</mi><mo stretchy="false">̂</mo></mover><mi>d</mi><msub><mover><mi>W</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Stochastic Differential equation describing the change in opinions of a given Influencer in the partial field opinion model."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "opinion adaption of influencers over time in the partial mean field model"@en

change in opinions of mediani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674253

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>σ</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>W</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Γ</mi><mi>d</mi><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>t</mi><mo stretchy="false">+</mo><mover><mi>σ</mi><mo>~</mo></mover><mi>d</mi><msub><mover><mi>W</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Media agents m = 1,...,M slowly adapt their opinions according to this stochastic differential equation such that media agents are drawn in the direction of the average opinion of their followers."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "opinion adaption of media agents over time"@en

change in opinions of media in the partial mean field modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674254

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>σ</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>W</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Γ</mi><mi>d</mi><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>t</mi><mo stretchy="false">+</mo><mover><mi>σ</mi><mo>~</mo></mover><mi>d</mi><msub><mover><mi>W</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Stochastic Differential equation describing the change in opinions of a given medium in the partial field opinion model."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "opinion adaption of media agents over time in the partial mean field model"@en

characteristic lengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673858

belongs to
quantity c
has facts
described at URL ap Characteristic length ep
Wikidata QID ap "Q1062974"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "dimension that defines the scale of a physical system"@en

charge transportni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684644

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap charge transport model ni
description ap "transport of electric charge"@en

charge transport in semiconductor devicesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684652

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap drift-diffusion model ni
description ap "flow of electrical charge carriers coupled to electrostatic potential distribution in semiconductor devices"@en

charge transport modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675380

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Ohm's law ni
description ap "simple mathematical model for the transport of electric charge"@en

chemical engineeringni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822204

belongs to
academic discipline c
has facts
Wikidata QID ap "Q83588"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap gas separation (adsorption) ni
contains ap gas separation ni
description ap "branch of science that applies physical sciences and life sciences together with applied mathematics and economics to produce, transform, transport, and properly use chemicals, materials and energy"@en

chemical kineticsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684701

belongs to
academic discipline c
has facts
described at URL ap Chemical kinetics ep
Wikidata QID ap "Q209082"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap reaction kinetics problem ni
specialized by ap enzyme kinetics ni
image ap Activation%20energy.svg ep
description ap "study of the rates of chemical reactions"@en

chemical potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673859

belongs to
quantity kind c
has facts
described at URL ap Chemical potential ep
Wikidata QID ap "Q737004"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "For example in a chemical reaction or phase transition."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "ChemicalPotential"@en
specialized by ap external chemical potential ni
description ap "energy that can be absorbed or released due to a change of the particle number of a given species"@en

chemical wastewater treatmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775712

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Freundlich isotherm model ni
modelled by ap Henry's isotherm model ni
modelled by ap Langmuir isotherm model ni
modelled by ap Elovich isotherm model ni
modelled by ap Hill-de Boer isotherm model ni
modelled by ap Hill model (adsorption) ni
modelled by ap Temkin isotherm model ni
modelled by ap Fowler-Guggenheim isotherm model ni
modelled by ap Kiselev isotherm model ni
modelled by ap Volmer isotherm model ni
modelled by ap Flory-Huggins isotherm model ni
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modelled by ap Radke-Prausnitz isotherm model ni
modelled by ap Fritz-Schlunder 3-parameter isotherm model ni
modelled by ap Fritz-Schlunder 4-parameter isotherm model ni
modelled by ap Fritz-Schlunder 5-parameter isotherm model ni
modelled by ap Jossens isotherm model ni
modelled by ap Koble-Corrigan isotherm model ni
modelled by ap Khan isotherm model ni
modelled by ap UNILAN isotherm model ni
modelled by ap Dubinin–Astakhov isotherm model ni
modelled by ap Frumkin isotherm model ni
modelled by ap Baudu isotherm model ni
modelled by ap Weber-van Vliet isotherm model ni
description ap "removing contaminants from wastewater through chemical reactions or adsorption using reactive agents"@en

chemistryni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q59308

belongs to
academic discipline c
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KBpedia ID ap "Chemistry"@en
RKD thesaurus ID ap "80753"@en
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GitHub topic ap "chemistry"@en
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Jewish Encyclopedia ID (Russian) ap "14526"@en
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NKCR AUT ID ap "ph114237"@en
FactGrid item ID ap "Q245807"@en
Golden ID ap "Chemistry-VJN"@en
entry in abbreviations table ap "kimya."@en
Store norske leksikon ID ap "kjemi"@en
history of topic ap Q7272983 ep
Universal Decimal Classification ap "54"@en
NALT ID ap "8467"@en
image ap Chemicals%20in%20flasks.jpg ep
Stack Exchange tag ap chemistry ep
subclass of ap Q7272976 ep
IPTC NewsCode ap "mediatopic/20000725"@en
IAB code ap "466"@en
Microsoft Academic ID ap "185592680"@en
EuroVoc ID ap "5966"@en
MeSH tree code ap "H01.181"@en
UK Parliament thesaurus ID ap "90494"@en
Open Library subject ID ap "chemistry"@en
Namuwiki ID ap "화학"@en
DeCS ID ap "2667"@en
pronunciation audio ap Q2329 ar.ogg ep
pronunciation audio ap L L Q8752%20%28eus%29 Elsa Born Free kimika.wav ep
pronunciation audio ap L L Q9610%20%28ben%29 Tahmid % E0% A6% B0% E0% A6% B8% E0% A6% B E% E0% A6% A F% E0% A6% B C% E0% A6% A8.wav ep
Treccani ID ap "chimica"@en
All-Science Journal Classification Codes ap "16"@en
All-Science Journal Classification Codes ap "1601"@en
OpenAlex ID ap "C185592680"@en
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social media followers ap "1901688"@en
National Library of Korea ID ap "KSH1998010841"@en
Provenio UUID ap "7712d205-693e-4ac3-8658-4917b1f0c42d"@en
practiced by ap Q60177 ep
practiced by ap Q7272984 ep
Den Store Danske ID ap "kemi"@en
Encyclopedia of China (Third Edition) ID ap "509549"@en
WikiSkripta ID ap "32770"@en
Krugosvet article ap "nauka_i_tehnika/himiya/HIMIYA.html"@en
hashtag ap "chemistry"@en
YSA ID ap "Y96067"@en
replaces ap Q7272985 ep
named after ap Q7272985 ep
significant person ap Q1523833 ep
significant person ap Q7272995 ep
significant person ap Q7272996 ep
NicoNicoPedia ID ap "化学"@en
TDV İslam Ansiklopedisi ID ap "kimya"@en
UMLS CUI ap "C0007996"@en
NCI Thesaurus ID ap "C16414"@en
Archive of Our Own tag ap "Chemistry"@en
Personality Database profile ID ap "256160"@en
Basisklassifikation ap "35"@en
Latvian National Encyclopedia Online ID ap "1081"@en
Bibliothèque nationale de France ID ap "119704650"@en
GND ID ap "4009816-3"@en
Biblioteca Nacional de España ID ap "XX524410"@en
Library of Congress authority ID ap "sh85022986"@en
Canadian Encyclopedia article ID ap "chemistry"@en
Colon Classification ap "E"@en
NDL Authority ID ap "00564393"@en
New York Times topic ID ap "subject/chemistry"@en
Larousse ID ap "divers/chimie/33330"@en
Fandom wiki ID ap "chemistry"@en
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is the study of ap Q7271685 ep
is the study of ap Q7272960 ep
is the study of ap Q7272963 ep
Australian Thesaurus of Education Descriptors ID ap "2620"@en
has characteristic ap Q7272991 ep
has characteristic ap Q7272992 ep
description ap "branch of physical science concerned with the composition, structure and properties of matter"@en

civil engineeringni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684702

belongs to
academic discipline c
has facts
described at URL ap Civil Engineering ep
Wikidata QID ap "Q77590"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap efficient numerical simulation of soil-tool interaction ni
specialized by ap strength of materials ni
image ap T V A%20engineers%20monitoring%20 Tellico%20 Dam%20model.jpg ep
description ap "engineering discipline specializing in design, construction and maintenance of the built environment"@en

classical approximationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674256

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>λ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>λ</mi><mo stretchy="false">≪</mo><mi>L</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Classical approximation to quantum mechanics ep
description ap "classical dynamics as an approximation to quantum mechanics"@en

classical density (phase space)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673866

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "probability that the system will be found in the infinitesimal phase space volume"@en

classical dynamics modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675381

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap classical time evolution ni
community ap Q6534265 ep
contains ap Hamilton's equations ni
contains ap Newton second law of motion for constant mass ni
contains ap initial condition for momentum ni
contains ap initial condition for position ni
contains ap Liouville equation ni
contains ap initial condition for classical density ni
assumes ap classical approximation ni
description ap "mathematical model of a system of point masses, subject to forces deriving from some potential energy function"@en

classical electromagnetismni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684704

belongs to
academic discipline c
has facts
described at URL ap Classical electromagnetism ep
Wikidata QID ap "Q377930"@en
Description (long) ap "Branch of theoretical physics that studies electromagnetic fields, waves, and forces between electric charges and currents."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap spin qbit shuttling ni
contains ap electromagnetic field ni
contains ap particles in electromagnetic fields ni
image ap V F Pt%20 Solenoid%20correct2.svg ep
description ap "branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents"@en

classical mechanicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684699

belongs to
academic discipline c
has facts
described at URL ap Classical mechanics ep
Wikidata QID ap "Q11397"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap gravitational effects on fruit ni
contains ap pendulum ni
specialized by ap celestial mechanics ni
zbMATH conecept ID ap "classical mechanic"@en
image ap Newtons%20cradle.gif ep
description ap "sub-field of mechanics, which is concerned with the set of physical laws describing the motion of bodies under the action of a system of forces"@en

classical time evolutionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684559

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap force acting on a particle ni
contains ap particle position ni
contains ap particle momentum ni
contains ap particle velocity ni
contains ap Hamilton's equations ni
contains ap Brownian equation ni
contains ap Langevin equation ni
contains ap Newton second law of motion for constant mass ni
contains ap Fokker-Planck equation ni
contains ap Liouville equation ni
specialized by ap heavy particle propagation ni
description ap "given initial positions and momenta of the particles in a classical mechanics system, the task is to predict these positions and momenta at later time"@en

closed system approximationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534354

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi><mo stretchy="false">→</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "Note that dissipation as well as dephasing (or more formally: the corresponding rates in the Lindblad equation) are neglected."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Lindbladian ep
related URL ap Q4476520 ep
description ap "assuming that a quantum system does not interact with its environment"@en

coefficient of frictionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673872

belongs to
quantity c
has facts
Wikidata QID ap "Q1932524"@en
Description (long) ap "Coefficient of friction, aka damping constant. Units of inverse time."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Coefficient of friction ep
description ap "measure that quantifies the amount of friction existing between two surfaces"@en

coefficient scaling infectious to exposedni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673874

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "coefficient scales the number of infectious to estimate the number of exposed individuals"@en

coefficient simulation behavior prediction globalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775339

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "coefficient of the a global prediction model for simulation behavior prediction"@en

compartment length rationi back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775453

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "ratio of compartment lengths"@en

compartment sizeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775324

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "domain is divided into K compartments of size h"@en

compartment size for ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775341

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "Compartment Size For species A"@en

compartment size for bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775342

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "Compartment Size For A"@en

competitive inhibition constant (uni uni reaction reversible inhibition)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673875

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant for the competitive inhibition in an uni uni reaction"@en

complex formation constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820974

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant describing adsorbate–adsorbate complex formation"@en

complex numberni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673708

belongs to
quantity kind c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi><mo stretchy="false">=</mo><mi>x</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi>y</mi></mstyle></mrow></math>"@en
Interlingual Index ID ap "i109010"@en
described at URL ap Complex number ep
SVKKL authority ID ap "0212716-komplexni-cisla"@en
MathWorld ID ap "ComplexNumber"@en
Brilliant Wiki ID ap "complex-numbers"@en
Wikidata QID ap "Q11567"@en
Encyclopedia of Mathematics wiki ID ap "Complex_number"@en
Great Russian Encyclopedia portal ID ap "kompleksnoe-chislo-a7c76d"@en
facet of ap Q7273227 ep
ScienceDirect topic ID ap "physics-and-astronomy/complex-numbers"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
Gran Enciclopèdia Catalana ID ap "nombre-complex"@en
Vikidia article ID ap "fr:Nombre_complexe"@en
ProofWiki ID ap "Definition:Complex_Number"@en
FOLDOC ID ap "complex+number"@en
specialized by ap Q1399 ep
Yale LUX ID ap "concept/fc8389e4-8646-4c27-a7b7-37f46cb97ebc"@en
named by ap Q6480595 ep
on focus list of Wikimedia project ap Q56556 ep
on focus list of Wikimedia project ap Q56557 ep
Digital Library of Mathematical Functions ID ap "1.9.E1"@en
Mathlib Declaration ID ap "Complex"@en
AccessScience ID ap "152900"@en
Arabic Ontology lexical concept ID ap "151073532"@en
Semanticscience Integrated Ontology ID ap "001443"@en
Commons category ap "Complex numbers"@en
BNCF Thesaurus ID ap "6845"@en
topic's main category ap Q7273507 ep
Freebase ID ap "/m/01rm2"@en
PSH ID ap "7213"@en
Gran Enciclopèdia Catalana ID (former scheme) ap "0153742"@en
different from ap Q7273509 ep
JSTOR topic ID ap "complex-numbers"@en
has part(s) ap Q6481153 ep
has part(s) ap real number ni
has part(s) ap Q7273502 ep
has part(s) ap Q7273503 ep
Encyclopædia Universalis ID ap "nombres-complexes"@en
BabelNet ID ap "00021375n"@en
Encyclopædia Britannica Online ID ap "topic/complex-number"@en
Australian Educational Vocabulary ID ap "scot/4156"@en
described by source ap Q56754 ep
described by source ap Q56757 ep
described by source ap Q74943 ep
KBpedia ID ap "ComplexNumber"@en
Zhihu topic ID ap "19628033"@en
WordNet 3.1 Synset ID ap "13751538-n"@en
Dewey Decimal Classification ap "512.788"@en
National Library of Israel J9U ID ap "987007538749605171"@en
YSO ID ap "7849"@en
NKCR AUT ID ap "ph121761"@en
National Library of Latvia ID ap "000082623"@en
Store norske leksikon ID ap "komplekse_tall"@en
Pixiv Encyclopedia ID ap "複素数"@en
opposite of ap real number ni
image ap A%20plus%20bi.svg ep
Stack Exchange tag ap complex ep
Stack Exchange tag ap complex numbers ep
Stack Exchange tag ap complex numbers ep
Stack Exchange tag ap complex ep
Stack Exchange tag ap complex numbers ep
Stack Exchange tag ap complex numbers ep
subclass of ap Q6482283 ep
subclass of ap Q6672170 ep
subclass of ap Q7265590 ep
subclass of ap Q7265592 ep
part of ap Q6481165 ep
Microsoft Academic ID ap "45862120"@en
Open Library subject ID ap "complex_numbers"@en
IEV number ap "102-02-09"@en
Namuwiki ID ap "복소수"@en
Treccani's Enciclopedia della Matematica ID ap "numero-complesso"@en
NE.se ID ap "komplext-tal"@en
Encyclopedia of China (Third Edition) ID ap "110866"@en
has part(s) of the class ap real number ni
has part(s) of the class ap Q7266059 ep
Online PWN Encyclopedia ID ap "3932382"@en
followed by ap Q7265590 ep
schematic ap A%20plus%20bi.svg ep
video ap bertsomate %20 Zenbaki%20konplexuak.webm ep
Bibliothèque nationale de France ID ap "11981946j"@en
GND ID ap "4128698-4"@en
Library of Congress authority ID ap "sh85093211"@en
NDL Authority ID ap "00563643"@en
disjoint union of ap Q56573 ep
Arabic Ontology ID ap "293239"@en
Elhuyar ZTH ID ap "034079"@en
has characteristic ap Q7265786 ep
has characteristic ap Q7265931 ep
has characteristic ap Q7265932 ep
has characteristic ap Q7273502 ep
has characteristic ap Q7273503 ep
description ap "number that can be put in the form a + bi, where a and b are real numbers and i is called the imaginary unit"@en

complexed enzyme concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673876

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap enzyme-substrate complex concentration ni
description ap "amount of enzyme that is bound to its substrate, product, or intermediates in a reaction environment"@en

computation of above-ground biomassni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821428

belongs to
computational task c
has facts
Description (long) ap "This task computes the total above-ground biomass from the accumulated potential biomass and the accumulated potential root weight."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap accumulated potential biomass ni
contains ap computation of potential crop biomass growth ni
contains ap computation of root biomass allocation ni
contains ap accumulated potential above-ground biomass ni
contains ap accumulated total root weight ni
contains ap above-ground biomass equation ni
description ap "calculates above-ground biomass"@en

computation of crop economic yieldni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821430

belongs to
computational task c
has facts
Description (long) ap "This task computes crop economic yield by multiplying above-ground biomass by harvest index. It produces a final yield estimate at maturity. The task assumes non-stressed conditions unless modified by additional stress models."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap potential harvest index at maturity ni
contains ap crop yield ni
contains ap accumulated potential above-ground biomass ni
contains ap crop economic yield equation ni
contains ap computation of above-ground biomass ni
description ap "calculates harvestable crop yield"@en

computation of crop heightni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821363

belongs to
computational task c
has facts
Description (long) ap "This task computes crop height as a function of phenological progress during the growing season. It uses a normalized development factor to scale crop height between emergence and maturity. The task produces a deterministic estimate of crop height at each time step. The resulting height can be used to parameterize canopy structure and related processes."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap heat unit index ni
contains ap computation of crop phenological development stage ni
contains ap heat unit response shape parameters ni
contains ap heat unit factor equation ni
contains ap maximum crop height ni
contains ap crop height ni
contains ap crop height equation ni
description ap "calculates crop height from phenological development"@en

computation of crop nitrogen demandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822038

belongs to
computational task c
has facts
Description (long) ap "This task computes the daily nitrogen demand of the crop based on accumulated biomass and an optimal nitrogen concentration that depends on development stage. It accounts for nitrogen already taken up in previous days and produces a dynamic demand signal. The result represents the nitrogen requirement needed to sustain optimal growth."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap heat unit index ni
contains ap computation of crop phenological development stage ni
contains ap plant nitrogen demand rate ni
contains ap accumulated plant biomass ni
contains ap nitrogen uptake rate of plant ni
contains ap crop-specific nitrogen parameter ni
contains ap crop nitrogen demand equation ni
contains ap optimal plant nitrogen concentration equation ni
description ap "determine daily nitrogen demand of the crop"@en

computation of crop phenological development stageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821277

belongs to
computational task c
has facts
Description (long) ap "This task computes the physiological development stage of a crop based on accumulated thermal time. Using daily temperature inputs and crop-specific thermal thresholds, the task calculates daily heat unit accumulation and aggregates it over time. The accumulated heat units are normalized by the crop’s potential heat unit requirement to obtain a dimensionless development index. This index represents the progression from planting to physiological maturity. The resulting development stage serves as a coordinating variable for multiple downstream crop growth processes."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap maximum temperature ni
contains ap minimum temperature ni
contains ap crop-specific base temperature ni
contains ap potential heat units ni
contains ap heat unit index ni
contains ap heat unit accumulation equation ni
contains ap heat unit index equation ni
description ap "deriving crop development stage from temperature data"@en

computation of crop phosphorus demandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824235

belongs to
computational task c
has facts
Description (long) ap "This task estimates the daily phosphorus demand of a crop based on accumulated plant biomass and an optimal phosphorus concentration that declines with phenological development. The optimal concentration is computed as a nonlinear function of heat unit index, and cumulative phosphorus uptake is subtracted to determine unmet demand."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap heat unit index ni
contains ap computation of crop phenological development stage ni
contains ap accumulated plant biomass ni
contains ap plant phosphorus demand rate ni
contains ap phosphorus uptake rate of plant ni
contains ap crop-specific phosphorus parameter ni
contains ap crop phosphorus demand equation ni
contains ap optimal plant phosphorus concentration equation ni
description ap "determine daily phosphorus demand of the crop"@en

computation of cumulative potential plant water useni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821600

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap root zone depth ni
contains ap potential plant evaporation rate ni
contains ap daily potential plant water use from the root zone ni
contains ap plant water use rate-soil depth parameter ni
contains ap depth ni
contains ap cumulative potential plant water use equation ni
contains ap computation of potential plant evaporation rate ni
description ap "determines potential plant water uptake in root zone"@en

computation of daily nitrogen fixationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822113

belongs to
computational task c
has facts
Description (long) ap "This task computes the daily amount of biologically fixed nitrogen in legume crops as a fraction of plant nitrogen demand. The fixation rate is regulated by crop development stage, soil water availability, and soil nitrate content. The task represents symbiotic nitrogen fixation through root nodules and limits fixation when environmental or physiological conditions are unfavorable."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap plant nitrogen demand rate ni
contains ap computation of crop nitrogen demand ni
contains ap daily nitrogen fixation ni
contains ap nitrogen fixation fraction ni
contains ap daily nitrogen fixation constraint ni
contains ap daily nitrogen fixation equation ni
contains ap computation of nitrogen fixation fraction ni
description ap "determine daily biologically fixed nitrogen"@en

computation of daylengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821351

belongs to
computational task c
has facts
Description (long) ap "This task computes the duration of daylight for a given day and geographic location using latitude and solar declination angle. The task produces a deterministic estimate of photoperiod for each simulation day. The resulting daylength is used to modulate radiation-driven and phenology-dependent biological processes."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap latitude ni
contains ap daylength ni
contains ap day index ni
contains ap daylength calculation equation ni
contains ap solar declination angle equation ni
description ap "calculates daily daylight duration"@en

computation of fixation growth stage factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822109

belongs to
computational task c
has facts
Description (long) ap "This task computes the growth stage limitation factor for biological nitrogen fixation in legume crops based on phenological development. The factor represents the availability and activity of functional root nodules and suppresses nitrogen fixation during early growth before nodulation and during late growth when nodules senesce. Phenological development is represented by the heat unit index, and the factor is defined using a piecewise linear function that activates fixation only during an intermediate portion of the growing season."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap heat unit index ni
contains ap computation of crop phenological development stage ni
contains ap nitrogen fixation growth stage factor ni
contains ap fixation growth stage equation ni
description ap "phenological limitation of nitrogen fixation"@en

computation of fixation soil nitrate factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822111

belongs to
computational task c
has facts
Description (long) ap "This task computes a soil nitrate limitation factor that reduces or suppresses biological nitrogen fixation based on the amount of nitrate available in the root zone. Low nitrate availability allows full fixation, moderate nitrate levels progressively inhibit fixation, and high nitrate availability completely suppresses fixation. The formulation reflects plant regulation of symbiotic nitrogen fixation in response to readily available mineral nitrogen in the soil."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap rooting depth ni
contains ap computation of rooting depth ni
contains ap nitrogen fixation soil nitrate factor ni
contains ap soil nitrate content in root zone ni
contains ap fixation soil nitrate equation ni
description ap "nitrate inhibition of nitrogen fixation"@en

computation of fixation soil water factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822110

belongs to
computational task c
has facts
Description (long) ap "This task computes a dimensionless soil water factor that limits biological nitrogen fixation in legume crops based on near-surface soil moisture conditions. The factor represents the reduction of nitrogen fixation when soil water content in the upper soil layer falls below a threshold fraction of field capacity. When soil moisture is adequate, nitrogen fixation proceeds without water limitation; under drier conditions, fixation is progressively reduced. The formulation captures the sensitivity of symbiotic nitrogen fixation to soil water stress and links soil hydrological status to plant nitrogen acquisition."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap nitrogen fixation soil water factor ni
contains ap soil water content of upper soil layer ni
contains ap soil water content of upper soil layer at wilting point ni
contains ap field capacity water content of upper soil layer ni
contains ap fixation soil water equation ni
description ap "soil moisture limitation of nitrogen fixation"@en

computation of harvest index developmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821429

belongs to
computational task c
has facts
Description (long) ap "This task computes the temporal development of harvest index over the growing season. It integrates the daily heat unit-based harvest index factor to represent the progressive allocation of above ground biomass to crop yield. The task produces the harvest index value for each time step, starting from zero at planting and approaching a crop-specific maximum at maturity. It depends on the computation of the harvest index heat unit factor, which controls the rate and timing of development. The resulting harvest index is used to track the progression of reproductive development and to determine when the crop has reached its final harvest index value."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap potential harvest index ni
contains ap potential harvest index at maturity ni
contains ap daily harvest index heat unit factor ni
contains ap harvest index accumulation equation ni
contains ap computation of harvest index heat unit factor ni
description ap "calculates harvest index over time"@en

computation of harvest index heat unit factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821427

belongs to
computational task c
has facts
Description (long) ap "This task computes a phenological scaling factor that governs the rate of harvest index development. The factor is derived from the heat unit index using a non-linear response function that reflects observed patterns of reproductive development in crops. It ensures that harvest index increases slowly during early growth and more rapidly during later stages of development. The task provides the daily heat unit factor used as input to the harvest index development computation. It links phenological progress to above ground biomass allocation to crop yield."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap heat unit index ni
contains ap computation of crop phenological development stage ni
contains ap harvest index heat unit factor ni
contains ap harvest index heat unit factor equation ni
description ap "calculates heat unit factor affecting harvest index"@en

computation of intercepted photosynthetically active radiationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821357

belongs to
computational task c
has facts
Description (long) ap "This task computes the amount of photosynthetically active radiation intercepted by a plant canopy. It uses incoming solar radiation and canopy structural properties to estimate the absorbed radiation fraction. The computation assumes a continuous canopy and applies an exponential attenuation formulation. The resulting intercepted radiation serves as an input to biomass production and other radiation-driven processes."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap intercepted photosynthetically active radiation ni
contains ap canopy light attenuation coefficient ni
contains ap photosynthetically active solar radiation fraction ni
contains ap solar radiation ni
contains ap leaf area index ni
contains ap radiation interception equation ni
contains ap computation of leaf area index dynamics ni
description ap "calculates canopy-intercepted photosynthetically active radiation"@en

computation of leaf area index dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821354

belongs to
computational task c
has facts
Description (long) ap "This task computes the daily evolution of leaf area index throughout the crop growing season. It updates leaf area based on phenological development during the expansion phase and reduces leaf area during senescence. The task incorporates crop-specific limits and stress modulation. The resulting leaf area index is used by radiation interception and other canopy-related processes."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap heat unit index ni
contains ap computation of crop phenological development stage ni
contains ap maximum leaf area index ni
contains ap crop growth constraint ni
contains ap leaf area index at start of decline ni
contains ap heat unit index at start of leaf area index decline ni
contains ap leaf area index decline rate parameter ni
contains ap heat unit response shape parameters ni
contains ap leaf area index ni
contains ap heat unit factor equation ni
contains ap potential leaf area development equation ni
contains ap leaf area index equation ni
description ap "simulates daily leaf area index change"@en

computation of nitrogen fixation fractionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822112

belongs to
computational task c
has facts
Description (long) ap "This task computes the daily fraction of plant nitrogen demand that can be met through biological nitrogen fixation in legume crops. The fixation fraction integrates multiple limiting factors, including crop phenological development, soil water availability, and soil nitrate content in the root zone. Growth-stage control accounts for nodule development and senescence using heat-unit-based thresholds, while soil water and nitrate factors reduce or suppress fixation under unfavorable conditions. The final fixation fraction is determined by combining these factors using minimum and multiplicative operators, ensuring biologically realistic regulation of symbiotic nitrogen fixation."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap nitrogen fixation fraction ni
contains ap nitrogen fixation soil water factor ni
contains ap nitrogen fixation soil nitrate factor ni
contains ap nitrogen fixation growth stage factor ni
contains ap nitrogen fixation fraction equation ni
contains ap computation of fixation growth stage factor ni
contains ap computation of fixation soil water factor ni
contains ap computation of fixation soil nitrate factor ni
description ap "determine fraction of nitrogen demand fixed"@en

computation of potential crop biomass growthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821314

belongs to
computational task c
has facts
Description (long) ap "This task computes the potential accumulation of crop biomass based on intercepted photosynthetically active radiation and phenological development. It represents the upper bound of biomass growth achievable under optimal radiation conditions, prior to the application of biomass-reducing stresses such as water or nutrient limitation. The task integrates astronomical calculations, phenological scaling, and canopy development to determine daily potential biomass increments. Leaf area development is influenced by crop stress, but biomass conversion itself follows a radiation use efficiency approach. The resulting potential biomass provides the basis for subsequent structural development and yield formation tasks."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap intercepted photosynthetically active radiation ni
contains ap potential biomass increment ni
contains ap radiation use efficiency parameter ni
contains ap change in daylength ni
contains ap accumulated potential biomass ni
contains ap potential biomass accumulation equation ni
contains ap potential biomass growth equation ni
contains ap computation of daylength ni
contains ap computation of intercepted photosynthetically active radiation ni
description ap "calculating stress-free crop biomass accumulation"@en

computation of potential plant evaporation rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821598

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap leaf area index ni
contains ap computation of leaf area index dynamics ni
contains ap potential plant evaporation rate ni
contains ap potential evaporation ni
contains ap potential plant evaporation rate constraint ni
contains ap potential plant evaporation rate equation ni
description ap "determines potential plant evaporation rate from potential evaporation"@en

computation of root biomass allocationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821387

belongs to
computational task c
has facts
Description (long) ap "This task computes the fraction of daily crop biomass growth that is allocated to the root system. The allocation fraction is determined as a linear function of phenological development. The task produces a deterministic estimate of daily root biomass increment, which is used to update root system mass."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap heat unit index ni
contains ap computation of crop phenological development stage ni
contains ap potential biomass increment ni
contains ap computation of potential crop biomass growth ni
contains ap total root weight increment ni
contains ap root biomass partitioning equation ni
contains ap accumulated total root weight ni
contains ap total root weight accumulation equation ni
description ap "allocates daily biomass growth to the root system"@en

computation of root biomass distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821389

belongs to
computational task c
has facts
Description (long) ap "This task computes how daily root biomass growth is distributed across the soil profile. It allocates the total root biomass increment to individual soil layers based on their relative contribution to plant water uptake. The task produces a layer-specific root biomass increment for each time step. The resulting distribution is used to represent root presence and function within the soil."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap total root weight increment ni
contains ap root weight in soil layer increment ni
contains ap plant water use rate in soil layer ni
contains ap root biomass distribution equation ni
contains ap computation of root biomass allocation ni
contains ap computation of actual plant water use rate in soil layer ni
contains ap accumulated root weight in soil layer ni
contains ap root weight in soil layer accumulation equation ni
description ap "allocates daily root growth to soil layers"@en

computation of rooting depthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821388

belongs to
computational task c
has facts
Description (long) ap "This task computes crop rooting depth as a function of phenological development and crop-specific root characteristics. Rooting depth increases with accumulated heat units and is capped by the potential root zone depth of the soil. The task produces a deterministic estimate of rooting depth at each time step. The resulting depth constrains root biomass distribution and soil water and nutrient uptake processes."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap heat unit index ni
contains ap computation of crop phenological development stage ni
contains ap rooting depth ni
contains ap maximum root depth ni
contains ap root zone depth ni
contains ap rooting depth equation ni
contains ap rooting depth constraint ni
description ap "calculates crop rooting depth from phenological development"@en

computation of soil nitrogen supply by mass flowni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822039

belongs to
computational task c
has facts
Description (long) ap "This task estimates the nitrogen supplied to plant roots from each soil layer through mass flow driven by plant water uptake. It combines soil nitrate content, soil water content, and layer-specific plant water use. The task produces a spatially distributed estimate of nitrogen supply from the soil."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap plant water use rate in soil layer ni
contains ap soil water content ni
contains ap computation of actual plant water use rate in soil layer ni
contains ap nitrogen supply rate in soil layer ni
contains ap soil nitrate content ni
contains ap nitrogen supply by mass flow equation ni
description ap "estimating potential nitrogen supply from soil layers"@en

computation of soil phosphorus supplyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824236

belongs to
computational task c
has facts
Description (long) ap "This task estimates the phosphorus supply available to the crop from the soil based on plant phosphorus demand, root biomass distribution across soil layers, and labile phosphorus availability. A nonlinear labile phosphorus uptake factor modulates root-weighted supply, allowing enhanced uptake under phosphorus-deficient conditions."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap computation of root biomass allocation ni
contains ap computation of root biomass distribution ni
contains ap accumulated total root weight ni
contains ap accumulated root weight in soil layer ni
contains ap plant phosphorus demand rate ni
contains ap phosphorus supply rate of soil ni
contains ap labile phosphorus concentration in soil layer ni
contains ap soil phosphorus supply equation ni
contains ap labile phosphorus uptake factor equation ni
contains ap computation of crop phosphorus demand ni
description ap "root-weighted phosphorus supply estimation"@en

computational domainni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775579

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Domain of a function ep
description ap "domain inside which a (ordinary or partial) differential equation is solved"@en

compute predictive distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775499

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
description ap "compute the predictive distribution"@en

computerized tomography (no scatter)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775427

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap CT measurement equation (no scatter) ni
described by source ap Q6773635 ep
description ap "computerized tomography with no scatter assumption"@en

computerized tomography (with scatter)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775426

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
described by source ap Q6773630 ep
description ap "computerized tomography with scatter assumption"@en

concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673699

belongs to
quantity kind c
has facts
described at URL ap Concentration ep
Wikidata QID ap "Q3686031"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Concentration"@en
specialized by ap enzyme concentration ni
specialized by ap enzyme - product 1 complex concentration ni
specialized by ap enzyme - product 1 - product 2 complex concentration ni
specialized by ap enzyme - substrate 1 complex concentration ni
specialized by ap enzyme - substrate 1 - substrate 2 complex concentration ni
specialized by ap product 1 concentration ni
specialized by ap product 2 concentration ni
specialized by ap substrate 1 concentration ni
specialized by ap substrate 2 concentration ni
specialized by ap enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complex concentration ni
specialized by ap intermediate concentration ni
specialized by ap intermediate - substrate 2 complex concentration ni
specialized by ap enzyme - product 2 complex concentration ni
specialized by ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
specialized by ap inhibitor concentration ni
specialized by ap substrate concentration ni
specialized by ap product concentration ni
specialized by ap Michaelis constant ni
specialized by ap concentrations of reaction entities ni
specialized by ap biomass concentration ni
specialized by ap solute concentration (equilibrium) ni
specialized by ap half saturation constant (Hill kinetics) ni
specialized by ap half maximal effective concentration ni
specialized by ap drug concentration ni
specialized by ap ligand concentration ni
specialized by ap half saturation constant (Hill binding) ni
specialized by ap initial solute concentration ni
image ap Dilution concentration%20simple%20example.jpg ep
description ap "abundance of a constituent divided by the total volume of a mixture"@en

concentration of particlesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775343

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "concentration of particles for a given position and time"@en

concentrations of reaction entitiesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773629

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝑿</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝑪</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mi>𝑿</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "concentrations of reaction entities used in the deterministic signalling of G-protein model"@en

condition for positive solutions in the multi-population SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674271

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi><mi>a</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo fence="false" stretchy="false">{</mo><mstyle displaystyle="false" scriptlevel="0"><msubsup><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msubsup><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mo lspace="0" rspace="0">/</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo fence="false" stretchy="false">}</mo><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution constraint"@en

condition for positive solutions in the multi-population SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674272

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi><mi>a</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo fence="false" stretchy="false">{</mo><mstyle displaystyle="false" scriptlevel="0"><msubsup><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msubsup><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mo lspace="0" rspace="0">/</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo>,</mo><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>Δ</mi><mi>t</mi><mo fence="false" stretchy="false">}</mo><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution constraint"@en

condition for positive solutions in the multi-population SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674273

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munder><mo>max</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mo fence="false" stretchy="false">{</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>Δ</mi><mi>t</mi><mo fence="false" stretchy="false">}</mo><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution constraint"@en

condition for positive solutions in the SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674274

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi><mi>a</mi><mi>x</mi><mo fence="false" stretchy="false">{</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><mo>,</mo><mi>α</mi><mi>Δ</mi><mi>t</mi><mo fence="false" stretchy="false">}</mo><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
Description (long) ap "The time step must be less than the average time required for a successful contact and less than the average infectious period."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution constraint"@en

condition for positive solutions in the SIR model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674275

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>γ</mi><mo stretchy="false">+</mo><mi>β</mi><mo stretchy="false">)</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution constraint"@en

condition for positive solutions in the SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674276

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution constraint"@en

condition for positive solutions in the SIS model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674277

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>γ</mi><mo stretchy="false">+</mo><mi>β</mi><mo stretchy="false">)</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution constraint"@en

condition to keep susceptibles positiveni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674278

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
Description (long) ap "Necessary and sufficient condition to ensure that 𝑆ₙ, is positive for all initial conditions (and Iₙ < N). Implies that the time step At must be less than the average time required for a successful contact."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution constraint"@en

conservation lawni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674279

belongs to
formula c
has facts
described at URL ap Conservation law ep
Wikidata QID ap "Q205805"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap mass balance ni
specialized by ap conservation of city numbers ni
specialized by ap constant population size ni
specialized by ap continuity equation ni
description ap "scientific law regarding conservation of a physical property"@en

conservation of city numbersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674280

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "conservation of city numbers in every region m"@en

constant population sizeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674281

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">≈</mo><mi>N</mi><mo>,</mo><mi>n</mi><mo stretchy="false">=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mi>...</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "total population size remains constant"@en

constitutive equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775587

belongs to
formula c
has facts
described at URL ap Constitutive equation ep
Wikidata QID ap "Q1937401"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Hooke's law ni
description ap "relation between two physical quantities that is specific to a material or substance"@en

contact indexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7284047

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "ordinal identifier used to distinguish the electrical terminals or contacts of a semiconductor device or other electronic component"@en

contact networkni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673883

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>n</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>n</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>,</mo><mi>m</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mrow></mfrac></mrow><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>for</mtext></mrow><mspace width="1em"></mspace><mi>m</mi><mo stretchy="false">≠</mo><mi>n</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>m</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mfrac></mrow><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>for</mtext></mrow><mspace width="1em"></mspace><mi>m</mi><mo stretchy="false">=</mo><mi>n</mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "contact network for regions"@en

contact network (time-dependent)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673752

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi><mo stretchy="false">≡</mo><mo stretchy="false">(</mo><mi>G</mi><mo>,</mo><mi>α</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "tuple of spreading rate and contact network interpreted as time-evolving contact network"@en

contact network constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674282

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∀</mi><mspace width="0.167em"></mspace><mi>m</mi><mo stretchy="false">≠</mo><mi>n</mi><mo>,</mo><mspace width="0.167em"></mspace><mn>0</mn><mo stretchy="false">≤</mo><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>n</mi></mrow></mrow></msub><mo stretchy="false">≤</mo><mn>2</mn><mo>,</mo><mrow data-mjx-texclass="ORD"><mtext>&#xA0;and&#xA0;</mtext></mrow><mn>0</mn><mo stretchy="false">≤</mo><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>m</mi></mrow></mrow></msub><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraints applying to contact network"@en

contact point of particlesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775344

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "global position of the contact point of two particles"@en

contact rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673793

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "average number of individuals with whom an infectious individual makes sufficient contact (to pass infection) during a unit time"@en

contact rate between two groupsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673877

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "average number of contacts per unit time of an infective in a group with individuals in another group"@en

continuity equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674283

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>n</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mi>j</mi><mo stretchy="false">=</mo><mi>S</mi></mstyle></mrow></math>"@en
described at URL ap Continuity equation ep
Wikidata QID ap "Q217219"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap continuity equation for electrons ni
specialized by ap continuity equation for holes ni
specialized by ap continuity equation for electron energy ni
similar to ap transport equation ni
has weak formulation ap continuity equation: weak formulation ni
description ap "equation constraining a quantity to flow only via adjacent locations; can express a locality principle"@en

continuity equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775660

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

continuity equation for electron energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775694

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>w</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>S</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>w</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mi>Q</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>e</mi><mi>E</mi><mo stretchy="false">⋅</mo><mi>j</mi><mo stretchy="false">+</mo><mover><mi>S</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
has weak formulation ap continuity equation for electron energy: weak formulation ni
description ap "continuity | balance equation for the electron energy in a plasma"@en

continuity equation for electron energy: weak formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823152

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>w</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>S</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>w</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>v</mi><mo stretchy="false">−</mo><mi>Q</mi><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mi>v</mi><mo stretchy="false">+</mo><mi>e</mi><mi>E</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mi>v</mi><mo stretchy="false">−</mo><mover><mi>S</mi><mo>~</mo></mover><mi>v</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow><mo stretchy="false">+</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝑵</mi></mrow><mo stretchy="false">⋅</mo><mi>Q</mi><mi>v</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>s</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "weak formulation of the continuity equation for electron energy"@en

continuity equation for electronsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674284

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">−</mo><mi>q</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>n</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">=</mo><mi>q</mi><mi>R</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap continuity equation for electrons (finite volume) ni
description ap "continuity equation for electrons; for use in semiconductor physics"@en

continuity equation for electrons (finite volume)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674286

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>;</mo><mi>k</mi><mo>,</mo><mi>k</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>;</mo><mi>k</mi><mo stretchy="false">−</mo><mn>1</mn><mo>,</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mi>q</mi><mi>R</mi><mo stretchy="false">(</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>;</mo><mi>k</mi></mrow></mrow></msub><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>;</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">|</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">|</mo></mstyle></mrow></math>"@en
Description (long) ap "Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "used within the Scharfetter-Gummel finite volume disretization scheme"@en

continuity equation for holesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674285

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>p</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>q</mi><mi>R</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap continuity equation for holes (finite volume) ni
description ap "continuity equation for holes; for use in semiconductor physics"@en

continuity equation for holes (finite volume)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674287

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>;</mo><mi>k</mi><mo>,</mo><mi>k</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>;</mo><mi>k</mi><mo stretchy="false">−</mo><mn>1</mn><mo>,</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>q</mi><mi>R</mi><mo stretchy="false">(</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>;</mo><mi>k</mi></mrow></mrow></msub><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>;</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">|</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">|</mo></mstyle></mrow></math>"@en
Description (long) ap "Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "used within the Scharfetter-Gummel finite volume disretization scheme"@en

continuity equation: weak formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823151

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>n</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>v</mi><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mi>v</mi><mo stretchy="false">−</mo><mi>S</mi><mi>v</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow><mo stretchy="false">+</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mi>𝑵</mi></mrow><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mi>v</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>s</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "weak formulation of the continuity equation"@en

continuity of densities conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775449

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "continuity of densities across the interface $\Gamma$ in the Hybrid ODE-PDE Model"@en

continuity of fluxes conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775450

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>D</mi><mi mathvariant="normal">∇</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>D</mi><mi mathvariant="normal">∇</mi><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>D</mi><mi mathvariant="normal">∇</mi><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>D</mi><mi mathvariant="normal">∇</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "continuity of fluxes across the interface Γ in the hybrid ODE-PDE model"@en

continuity of the normal mass fluxni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674288

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">[</mo><mi>v</mi><mo stretchy="false">⋅</mo><mi>n</mi><msup><mo stretchy="false">]</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mo stretchy="false">[</mo><mi>v</mi><mo stretchy="false">⋅</mo><mi>n</mi><msup><mo stretchy="false">]</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">o</mi><mi mathvariant="normal">n</mi></mrow></mrow><mspace width="1em"></mspace><mi>Γ</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "continuity condition to be used as boundary condition within Stokes Darcy hybrid models"@en

continuity of the normal stressesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674289

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>τ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">⋅</mo><mo stretchy="false">[</mo><mo stretchy="false">(</mo><mi>p</mi><mi>I</mi><mo stretchy="false">−</mo><mi>τ</mi><mo stretchy="false">)</mo><mi>n</mi><msup><mo stretchy="false">]</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup><mo stretchy="false">=</mo><mo stretchy="false">[</mo><mi>p</mi><msup><mo stretchy="false">]</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">o</mi><mi mathvariant="normal">n</mi></mrow></mrow><mspace width="1em"></mspace><mi>Γ</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "continuity condition to be used as boundary condition within Stokes Darcy hybrid models"@en

continuum approximationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830539

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo stretchy="false">≪</mo><mi>L</mi></mstyle></mrow></math>"@en
described at URL ap Continuum mechanics ep
described at URL ap Q193463 ep
Description (long) ap "collision frequency is large enough to describe particles in a medium as a fluid"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "continuum mechanics, e.g., hydrodynamics as an approximation to particle mechanics"@en

continuum mechanicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684700

belongs to
academic discipline c
has facts
described at URL ap Continuum mechanics ep
Wikidata QID ap "Q193463"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap charge transport ni
contains ap flow in porous media ni
contains ap free flow coupled to porous media flow ni
contains ap free flow of an incompressible fluid ni
contains ap heat transport ni
contains ap poro-visco-elastic evolution ni
contains ap species transport ni
contains ap transport of matter ni
contains ap Taylor–Couette flow ni
specialized by ap strength of materials ni
zbMATH conecept ID ap "continuum mechanic"@en
image ap Displacement%20of%20a%20continuum.svg ep
description ap "branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass"@en

control systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675331

belongs to
mathematical model c
has facts
described at URL ap Control system ep
Wikidata QID ap "Q959968"@en
Description (long) ap "In general, there are there are two types of controls: open-loop control (feedforward), and closed-loop control (feedback). In many applications of practical relevance, the state vector x is very high-dimensional, even though input u and output y may be low-dimensional."@en
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap balanced truncation ni
used by ap control system time evolution ni
used by ap H2 optimal approximation ni
community ap Q6534265 ep
specialized by ap control system model (bilinear) ni
related URL ap Control theory ep
description ap "system that manages the behavior of other systems"@en

control system durationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673896

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "time after which a (optimal) control should have reached the target"@en

control system initial (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674299

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial value for the state vector of a control system; after model order reduction"@en

control system inputni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673868

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "input to a control system"@en

control system input bilinearni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674142

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>x</mi><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mi>N</mi><mo stretchy="false">)</mo><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>B</mi><mi>u</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
approximated by ap control system input bilinear (reduced) ni
specialized by ap control system input linear ni
description ap "bilinear input equation for control systems"@en

control system input bilinear (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674143

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>A</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>B</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>N</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>x</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mover><mi>x</mi><mo>~</mo></mover><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mover><mi>A</mi><mo>~</mo></mover><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mover><mi>N</mi><mo>~</mo></mover><mo stretchy="false">)</mo><mover><mi>x</mi><mo>~</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mover><mi>B</mi><mo>~</mo></mover><mi>u</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap control system input linear (reduced) ni
description ap "bilinear input equation for control systems; after model order reduction"@en

control system input linearni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674148

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>x</mi><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>A</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>B</mi><mi>u</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
approximated by ap control system input linear (reduced) ni
related URL ap Linear time invariant system ep
related URL ap Q1808960 ep
similar to ap control system output linear ni
description ap "linear input equation for control systems"@en

control system input linear (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674149

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>A</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>B</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>x</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mover><mi>x</mi><mo>~</mo></mover><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mover><mi>A</mi><mo>~</mo></mover><mover><mi>x</mi><mo>~</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mover><mi>B</mi><mo>~</mo></mover><mi>u</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "linear input equation for control systems; after model order reduction"@en

control system Lagrange multiplierni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673900

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6482089 ep
description ap "method to solve constrained optimization problems for control systems"@en

control system matrix Ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673771

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "homogeneous part of (linear) input equation for control systems"@en

control system matrix A (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673775

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>~</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mi>A</mi><mi>T</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "homogeneous part of (linear) input equation for control systems; after model order reduction"@en

control system matrix Bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673772

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "inhomogeneous part of (linear) input equation for control systems"@en

control system matrix B (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673776

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>~</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mi>B</mi><mi>T</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "inhomogeneous part of (linear) input equation for control systems; after model order reduction"@en

control system matrix Cni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673773

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "linear part of output equation for control systems"@en

control system matrix C (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673777

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>C</mi><mo>~</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>C</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><mi>C</mi><mi>T</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "linear part of output equation for control systems; after model order reduction"@en

control system matrix Dni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673901

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "quadratic part of output equation for control systems"@en

control system matrix D (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673902

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>D</mi><mo>~</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>D</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mi>D</mi><mi>T</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "quadratic part of output equation for control systems; after model order reduction"@en

control system matrix Nni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673774

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "bilinear part of input equation for control systems"@en

control system matrix N (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673778

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>~</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mi>N</mi><mi>T</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "bilinear part of input equation for control systems; after model order reduction"@en

control system outputni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673903

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "output from a control system"@en

control system output linearni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674150

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>C</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
approximated by ap control system output linear (reduced) ni
related URL ap Linear time invariant system ep
related URL ap Q1808960 ep
similar to ap control system input linear ni
description ap "linear output equation for control systems"@en

control system output linear (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674144

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>C</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>x</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mover><mi>C</mi><mo>~</mo></mover><mover><mi>x</mi><mo>~</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "linear output equation for control systems; after model order reduction"@en

control system output quadraticni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674301

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">†</mo></mrow></msup><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mi>D</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
approximated by ap control system output quadratic (reduced) ni
description ap "quadratic output equation for control systems"@en

control system output quadratic (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674300

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>D</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>x</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msup><mover><mi>x</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">†</mo></mrow></msup><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mover><mi>D</mi><mo>~</mo></mover><mover><mi>x</mi><mo>~</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "quadratic output equation for control systems; after model order reduction"@en

control system stateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673898

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "state vector of a dynamical system for control systems"@en

control system state (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673899

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>~</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mi>x</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "state vector of a dynamical system for control systems; after model order reduction"@en

control system time evolutionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684560

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
specialized by ap control system time evolution (bi-linear) ni
description ap "computing the time evolution of a control system, for given initial state and given control , yielding output as a function of time"@en

control system time evolution (bi-linear)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684561

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap control system matrix A ni
contains ap control system matrix B ni
contains ap control system matrix C ni
contains ap control system matrix N ni
contains ap control system input ni
contains ap control system output ni
contains ap control system input bilinear ni
contains ap initial condition for control state ni
contains ap control system output linear ni
specialized by ap quantum time evolution ni
specialized by ap control system time evolution (linear) ni
description ap "computing the time evolution of a control system with bi-linear input equation"@en

control system time evolution (linear)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684562

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap control system matrix A ni
contains ap control system matrix B ni
contains ap control system matrix C ni
contains ap control system input ni
contains ap control system output ni
contains ap initial condition for control state ni
contains ap control system input linear ni
contains ap control system output linear ni
description ap "computing the time evolution of a control system with linear input equation"@en

control volumeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673890

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">≡</mo><mo stretchy="false">[</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">−</mo><mn>1</mn><mo>,</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>,</mo><mi>k</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">]</mo></mstyle></mrow></math>"@en
described at URL ap Control volume ep
Wikidata QID ap "Q5165895"@en
Description (long) ap "Control volume used within finite volume discretizations, e.g. the Scharfetter-Gummel discretization of the van-Roosbroeck system."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mathematical abstraction employed in continuum mechanics and thermodynamics used within finite volume discretizations"@en

controllability Gramianni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673780

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mo stretchy="false">≡</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msubsup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><mi>t</mi></mrow></mrow></msup><mi>i</mi><mi>B</mi><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>i</mi><mo stretchy="false">)</mo><msup><mi>B</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msup><mi>t</mi></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mstyle></mrow></math>"@en
described at URL ap Controllability Gramian ep
Wikidata QID ap "Q83587"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q1453354 ep
description ap "matrix used in linear control problems to determine whether a system is controllable"@en

controllability Gramian (generalized)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674004

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msubsup><mo stretchy="false">…</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msubsup><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy="false">…</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><msubsup><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msubsup><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy="false">…</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">…</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msup><mi>i</mi><mi>B</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy="false">…</mo><mo>,</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></msup><mi>i</mi><mi>N</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mtd></mtr></mtable></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap controllability Gramian ni
named after ap Q1453354 ep
description ap "generalized Gramian of controllability, for use in bi-linear control problems"@en

convolution between interaction force and densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775455

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "Convolution Between Interaction Force And Density (Quantity)"@en

convolution between interaction force and density formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775456

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">∗</mo><mi>c</mi><mo stretchy="false">(</mo><mo stretchy="false">⋅</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>F</mi><mo>&#x2032;</mo></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">∗</mo><mi>c</mi><mo stretchy="false">(</mo><mo stretchy="false">⋅</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">:=</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝕋</mi></mrow></mrow></msub><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">−</mo><mi>y</mi><mo stretchy="false">)</mo><mi>c</mi><mo stretchy="false">(</mo><mi>y</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>d</mi><mi>y</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "Convolution Between Interaction Force And Density"@en

coordinate systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775607

belongs to
quantity kind c
has facts
described at URL ap Coordinate system ep
Wikidata QID ap "Q11210"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap polar coordinate system ni
specialized by ap spherical coordinate system ni
specialized by ap Cartesian coordinate system ni
description ap "system for determining the position of a point in space"@en

coriolis coupling constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673743

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Rotational% E2%80%93vibrational coupling ep
related URL ap Q7370329 ep
described by source ap Q5775679 ep
description ap "description of the interaction between rotational and vibrational motions, e.g., in molecules"@en

cost model for line conceptni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823149

belongs to
mathematical model c
has facts
Description (long) ap "operational costs are defined as sum of line based costs times line frequency"@en
MaRDI profile type ap Q6534270 ep
used by ap solve cost minimizing line planning problem ni
community ap Q6534265 ep
contains ap operational costs of a line concept ni
description ap "model to compute operational costs of a line concept"@en

costs of line conceptni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673905

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "summarized costs of a line concept"@en

costs per unitni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673906

belongs to
quantity c
has facts
Description (long) ap "Costs per unit of something, e.g. costs per 1km, costs per vehicle, costs per line, costs per edge,..."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "costs per unit of something"@en

Coulomb friction condition between two particlesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674302

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mo stretchy="false">‖</mo><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi></mrow></mrow></msubsup><mo stretchy="false">‖</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≤</mo><mi>μ</mi><mo stretchy="false">‖</mo><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup><mo stretchy="false">‖</mo><mspace width="2em"></mspace><mrow data-mjx-texclass="ORD"><mtext>with</mtext></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi></mrow></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><msub><mrow data-mjx-texclass="ORD"><mi>𝝃</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mi>i</mi></mrow></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow></msub><mo stretchy="false">−</mo><mo stretchy="false">⟨</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mi>i</mi></mrow></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">⟩</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Q473991 ep
named after ap Q6775531 ep
description ap "describes the transition between static and dynamic friction in a simple (linear) friction model"@en

coupling conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534266

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "mathematical formulation, i.e., typically an equation, serving to model the interaction of two or more (sub-)systems that are interacting with each other"@en

coupling currentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673907

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Coupling (electronics) ep
related URL ap Q1418695 ep
description ap "transfer current from one circuit to another"@en

covarianceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775416

belongs to
quantity kind c
has facts
described at URL ap Covariance ep
Wikidata QID ap "Q201984"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap covariance function ni
description ap "measure of the joint variability of two random variables"@en

covariance functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775417

belongs to
quantity kind c
has facts
described at URL ap Covariance function ep
Wikidata QID ap "Q5178897"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "function in probability theory"@en

creeping flow assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674303

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi><mi mathvariant="normal">e</mi></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi><mi mathvariant="normal">e</mi></mrow></mrow><mo stretchy="false">≪</mo><mn>1</mn></mstyle></mrow></math>"@en
Description (long) ap "Volker John: If the viscous transport dominates the convective transport, i.e. if the fluid flows very slowly, the non-linear convective term of the Navier–Stokes equations can be neglected. This gives a linear equation, the so-called Stokes equations."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Stokes flow ep
related URL ap num cfd 1.pdf ep
related URL ap Q674202 ep
description ap "fluid flow where advective inertial forces are small compared with viscous forces"@en

crop canopy developmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821356

belongs to
research problem c
has facts
Description (long) ap "This research problem focuses on the development of plant canopy leaf area over the growing season. Leaf area determines light interception, transpiration, and energy exchange between vegetation and the atmosphere. Canopy development depends on phenological progress, growth conditions, and senescence processes. Accurately representing these dynamics is essential for modeling crop growth and ecosystem functioning. The problem links plant structure with physiological and environmental drivers."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap leaf area index model ni
description ap "temporal dynamics of canopy leaf area"@en

crop economic yield equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821424

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Y</mi><mi>L</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><mi>G</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Y</mi><mi>L</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">=</mo><mi>H</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><mi>G</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation computes crop economic yield as the product of harvest index and above-ground biomass. It assumes that yield is proportional to vegetative biomass production. The formulation represents a harvest index–based yield estimation approach commonly used in crop models. It provides a simple and robust link between biomass growth and harvestable yield."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes economic yield from harvest index"@en

crop growth constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821293

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "minimum stress factor - water, nutrients, aeration, temperature"@en

crop heightni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821361

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap maximum crop height ni
description ap "height of a crop"@en

crop height equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821362

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi><mi>H</mi><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>M</mi><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>F</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi><mi>H</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mi>H</mi><mi>M</mi><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mi>H</mi><mi>U</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></msqrt></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation computes crop height as a function of phenological development. Height increases with accumulated thermal progress and approaches a crop-specific maximum value as the crop matures. The formulation assumes a monotonic relationship between development stage and plant height, representing structural growth in a simplified manner. It does not explicitly model biomass allocation or mechanical growth processes. The equation provides a deterministic estimate of canopy height at discrete time steps for use in crop growth and environmental models."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes height of crop"@en

crop height modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821364

belongs to
mathematical model c
has facts
Description (long) ap "This model simulates the temporal development of crop height during the growing season. Crop height is represented as a function of phenological progress, reflecting structural growth of the plant. The model scales height from emergence toward a crop-specific maximum as development advances. It provides a simplified, deterministic representation of canopy vertical structure without explicitly modeling mechanical or anatomical processes. The simulated crop height is used to characterize canopy structure in crop growth and land surface models."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of crop height ni
community ap Q6534265 ep
contains ap heat-unit-based phenological development model ni
contains ap heat unit factor equation ni
contains ap crop height equation ni
described by source ap Q6821276 ep
description ap "model simulating crop height development over time"@en

crop nitrogen demand equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822032

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mi>B</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mi>B</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></munderover><mi>U</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation estimates the daily nitrogen demand of the crop as the difference between the ideal nitrogen content of the current biomass and the cumulative nitrogen uptake up to the previous day. The ideal nitrogen content is calculated as the product of accumulated biomass and an optimal nitrogen concentration. The formulation represents nitrogen demand as a dynamic, history-dependent quantity that increases with growth and decreases as nitrogen is taken up. It provides the demand side of the nitrogen balance used in the uptake adjustment."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "estimates daily crop nitrogen demand from biomass and uptake history"@en

crop phenological developmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821279

belongs to
research problem c
has facts
Description (long) ap "The research problem concerns predicting the progression of crop physiological development as influenced by temperature over time. Crop growth stages such as emergence, flowering, and maturity depend strongly on accumulated thermal energy rather than calendar time. The challenge is to represent this dependency in a general, crop-independent yet parameterizable way that can be applied across environments and management scenarios. The modeled solution translates daily temperature data into a normalized development index that governs downstream growth processes. This enables consistent coupling of phenology with biomass production, stress responses, and yield formation."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap heat-unit-based phenological development model ni
description ap "predicting crop development timing from thermal conditions"@en

crop phosphorus demand equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824231

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>P</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mi>B</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>P</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mi>B</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></munderover><mi>U</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Computes daily plant phosphorus demand as the difference between the ideal phosphorus content implied by biomass and optimal phosphorus concentration and the cumulative phosphorus uptake to date."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "estimates daily crop phosphorus demand from biomass and uptake history"@en

crop water usage modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821601

belongs to
mathematical model c
has facts
Description (long) ap "This model simulates the potential and actual water use of crops from the soil profile. It estimates plant evaporation as a function of potential evaporation and canopy development. Water uptake is distributed through the root zone according to an exponential depth function that can account for soil water deficit compensation. The model further reduces potential uptake when soil moisture becomes limiting. Together, these components provide a mechanistic representation of plant water use under varying soil and atmospheric conditions."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of actual plant water use rate in soil layer ni
used by ap computation of potential plant evaporation rate ni
used by ap computation of potential plant water use rate in soil layer ni
used by ap computation of cumulative potential plant water use ni
community ap Q6534265 ep
contains ap leaf area index model ni
contains ap cumulative potential plant water use equation ni
contains ap potential crop water use rate in soil layer equation (partial compensation) ni
contains ap actual plant water use rate in soil layer equation ni
contains ap potential plant evaporation rate equation ni
described by source ap Q6821276 ep
description ap "simulates crop water uptake from soil profile"@en

crop yieldni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821418

belongs to
quantity c
has facts
Wikidata QID ap "Q889514"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "total yield, or yield per unit area of land"@en

crop-specific base temperatureni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821269

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "no growth occurs at or below this temperature"@en

crop-specific nitrogen parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822023

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter determining the optimal nitrogen concentration for a plant"@en

crop-specific phosphorus parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824227

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter determining the optimal phosphorus concentration for a plant"@en

cross sectionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673909

belongs to
quantity c
has facts
described at URL ap Cross section (geometry) ep
Wikidata QID ap "Q845080"@en
Description (long) ap "In geometry and in natural sciences, a cross section is the intersection of a body in 3D space with a plane."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "CrossSection"@en
specialized by ap scattering cross section ni
description ap "the intersection of a body in 3D space with a plane"@en

CT measurement equation (no scatter)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775448

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi><mo stretchy="false">(</mo><mi>θ</mi><mo>,</mo><mi>s</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo stretchy="false">⋅</mo><mi>θ</mi><mo stretchy="false">=</mo><mi>s</mi></mrow></mrow></msub><mi>μ</mi><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><mi>s</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computer tomography measurement equation neglecting scattering"@en

cumulative potential plant water use equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821588

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Λ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi></mrow></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Z</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>Z</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the cumulative potential water use by plants from the soil surface to a specified depth. It distributes evaporative demand using an exponential depth function controlled by a soil-plant interaction parameter. The formulation reflects decreasing root activity with depth under typical conditions. It provides the basis for estimating water uptake by soil layers."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "estimates cumulative potential plant water use from the root zone"@en

current density relation for electronsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775756

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>q</mi><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mi>n</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mi mathvariant="normal">∇</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap particle flux (drift-diffusion) ni
similar to ap current density relation for holes ni
description ap "defining the density of electric current of electrons, e.g., in a semiconductor device"@en

current density relation for holesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775757

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝐣</mi></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>q</mi><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mi>p</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">)</mo><mi mathvariant="normal">∇</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap particle flux (drift-diffusion) ni
similar to ap current density relation for electrons ni
description ap "defining the density of electric current of holes, e.g., in a semiconductor device"@en

current procedural terminologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673911

belongs to
quantity c
has facts
described at URL ap Current Procedural Terminology ep
Wikidata QID ap "Q964984"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "procedure codes"@en

daily change in heat unit factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821292

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "factor driving leaf area index development"@en

daily change in leaf area indexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821290

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the daily change in leaf area index before the onset of leaf decline. The quantity controls the dynamic evolution of canopy size over time."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "increment in leaf area index"@en

daily harvest index heat unit factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821416

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "harvest index heat unit factor per day"@en

daily nitrogen fixationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822094

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of nitrogen fixed"@en

daily nitrogen fixation constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822103

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>F</mi><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>F</mi><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≤</mo><mn>6.0</mn><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>g</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>h</mi><mi>a</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "Constrain daily nitrogen fixation to reasonable amount."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint inequality for the daily nitrogen fixation"@en

daily nitrogen fixation equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822104

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>F</mi><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>F</mi><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mi>F</mi><mi>X</mi><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>U</mi><mi>N</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation estimates the daily amount of biologically fixed nitrogen in legume crops as a fraction of plant nitrogen demand. The daily fixation is computed by multiplying the plant nitrogen demand rate by a daily fixation fraction. The equation represents the core nitrogen fixation calculation and links plant nitrogen status, environmental conditions, and phenological development to the actual daily nitrogen acquired from atmospheric sources."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "daily nitrogen fixation from plant demand"@en

daily potential plant water use from the root zoneni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821579

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "cumulative potential plant water use to specific soil depth"@en

damping coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673912

belongs to
quantity c
has facts
described at URL ap Abklingkonstante ep
Wikidata QID ap "Q321828"@en
Description (long) ap "Damping describes the loss of energy of an oscillating system by dissipation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Damping ep
similar to ap quantum damping rate ni
description ap "quantifies energy dissipation in dynamic systems, inverse of the time constant of an exponentially decaying quantity"@en

Darcy equation (Euler backward)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674305

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480817 ep
named after ap Q6773640 ep
description ap "discretizing the Darcy equation by a first-oder backward Euler scheme in time"@en

Darcy equation (finite volume)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674306

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773640 ep
description ap "discretizing the Darcy equation by a finite volume scheme in space"@en

Darcy modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675390

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Darcy's law ni
discretized by ap Darcy model (discretized) ni
related URL ap Q392416 ep
named after ap Q6773640 ep
description ap "mathematical model describing the flow of a fluid through a porous medium"@en

Darcy model (discretized)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675391

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Darcy equation (Euler backward) ni
contains ap Darcy equation (finite volume) ni
named after ap Q6773640 ep
description ap "discretized version of Darcy's model describing the flow of a fluid through a porous medium"@en

Darcy's lawni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674304

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>K</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>K</mi><msup><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mi mathvariant="normal">∇</mi><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>v</mi><mi>m</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
described at URL ap Darcy%27s law ep
Wikidata QID ap "Q392416"@en
Description (long) ap "mathematical model describing the flow of a fluid through a porous medium."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap Darcy equation (Euler backward) ni
discretized by ap Darcy equation (finite volume) ni
named after ap Q6773640 ep
description ap "describing the flow of a fluid through a porous medium"@en

Darwin-Howie-Whelan equation for a strained crystalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674129

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>z</mi></mrow></mrow></mfrac></mrow><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mn>2</mn><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi>π</mi><mo maxsize="1.623em" minsize="1.623em">(</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>z</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="ORD"><mi>𝐮</mi></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo maxsize="1.623em" minsize="1.623em">)</mo><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi>π</mi><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐡</mi></mrow><mo stretchy="false">∈</mo><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msubsup></mrow></mrow></munder><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi><mo mathvariant="bold" stretchy="false">−</mo><mi>𝐡</mi></mrow></mrow></mrow></msub><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐡</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mspace width="1em"></mspace><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><mn>2</mn><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><mi>g</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><mi>g</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Darwin-Howie-Whelan equation for an unstrained crystal ni
named after ap Q568078 ep
named after ap Q5722194 ep
named after ap Q6775561 ep
description ap "simuating TEM images by numerically solving the Darwin–Howie–Whelan equation describing the electron propagation"@en

Darwin-Howie-Whelan equation for an unstrained crystalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674128

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>z</mi></mrow></mrow></mfrac></mrow><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mn>2</mn><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi>π</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub></mrow></mfrac></mrow><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐡</mi></mrow><mo stretchy="false">∈</mo><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msubsup></mrow></mrow></munder><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi><mo mathvariant="bold" stretchy="false">−</mo><mi>𝐡</mi></mrow></mrow></mrow></msub><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐡</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mspace width="1em"></mspace><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><mn>2</mn><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><mi>g</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><mi>g</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q568078 ep
named after ap Q5722194 ep
named after ap Q6775561 ep
description ap "simuating TEM images of an unstrained crystal by numerically solving the Darwin–Howie–Whelan equation describing the electron propagation"@en

day indexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821289

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "integer number identifying a specific day"@en

daylengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821287

belongs to
quantity c
has facts
Description (long) ap "Daylength represents the number of hours between sunrise and sunset for a given day and location. It depends on Earth’s axial tilt and orbital position relative to the Sun."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "daylight duration"@en

daylength calculation equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821302

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>R</mi><mi>L</mi><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mi>D</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>R</mi><mi>L</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mn>7.64</mn><msup><mi>cos</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>sin</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>360</mn></mrow></mfrac></mrow><mi>L</mi><mi>A</mi><mi>T</mi><mo stretchy="false">)</mo><mi>sin</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>S</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mn>0.044</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>cos</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>360</mn></mrow></mfrac></mrow><mi>L</mi><mi>A</mi><mi>T</mi><mo stretchy="false">)</mo><mi>cos</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>S</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the length of daylight as a function of geographic latitude and the Sun’s declination angle. It is based on astronomical relationships describing Earth–Sun geometry over the annual cycle. Daylength varies seasonally and with latitude, influencing available solar radiation and crop growth potential. The equation provides a deterministic estimate of photoperiod for each simulation day. Daylength is later used to modulate potential biomass production."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes daylength from latitude and solar declination"@en

daylength modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821352

belongs to
mathematical model c
has facts
Description (long) ap "This model estimates the duration of daylight for a given day and geographic location using astronomical relationships between the Earth and the Sun. Daylength is calculated from latitude and the seasonal variation of the Sun’s declination angle, which arises from Earth’s axial tilt and orbital motion. The model provides a deterministic and time-dependent representation of photoperiod that varies systematically over the year. It does not include biological or atmospheric processes and relies solely on geometric principles. The resulting daylength is used as an environmental forcing variable in crop growth and phenological models."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of daylength ni
community ap Q6534265 ep
contains ap daylength calculation equation ni
contains ap solar declination angle equation ni
described by source ap Q6821276 ep
description ap "astronomical model to estimate the daylength"@en

de Broglie wavelengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673861

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>λ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>λ</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>h</mi></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q100981463"@en
Description (long) ap "Playing a crucial role for the wave-particle duality in quantum mechanics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap De Broglie hypothesis ep
image ap Propagation%20of%20a%20de%20broglie%20plane%20wave.svg ep
named after ap Q1188810 ep
description ap "wavelength of matter waves in quantum mechanics"@en

death countni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673914

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "death count, at a given age"@en

death rate coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775670

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "coefficient representing the rate at which microorganisms die"@en

decision variableni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673711

belongs to
quantity kind c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap binary decision variable ni
description ap "vector which is to be decided in integer linear program"@en

decomposition of population density fractions in the ODE region into spatially constant and fluctuating partni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775513

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>¯</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>¯</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>¯</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>¯</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mover><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>¯</mo></mover><mo stretchy="false">+</mo><mover><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>~</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mover><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>¯</mo></mover><mo stretchy="false">+</mo><mover><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>~</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mover><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>¯</mo></mover><mo stretchy="false">+</mo><mover><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>~</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mover><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>¯</mo></mover><mo stretchy="false">+</mo><mover><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>~</mo></mover></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part with mean zero."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap fluctuating parts of population density fractions approximately zero ni
description ap "decomposition into spatially constant mean and fluctuating part"@en

deformationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673700

belongs to
quantity kind c
has facts
described at URL ap Deformation (engineering) ep
Wikidata QID ap "Q2672013"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
nondimensionalized by ap mechanical strain ni
specialized by ap mechanical deformation (boundary value) ni
description ap "in engineering or in continuum mechanics, any changes in the shape or size of a matter object"@en

degradation of internalised receptorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773490

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>8</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>8</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>w</mi></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>8</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>8</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>w</mi></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "degradation of Internalised receptor"@en

degradation of the reaction partnerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773491

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>9</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>9</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>9</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>9</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "reaction partner M can itself be degraded"@en

degree of surface coverageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820987

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">≡</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "surface coverage determined through solute concentrations"@en

demographyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q116324

belongs to
academic discipline c
has facts
described at URL ap Demography ep
Wikidata QID ap "Q37732"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap mortality modeling ni
FactGrid item ID ap "Q645688"@en
image ap Global%20 Population Pyramid 1950 to 2100.jpg ep
description ap "statistical and theoretical study of populations: size, composition, and how they change through fertility, mortality, and migration"@en

denoising for improved parametric MRI of the kidneyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684563

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap non-local means ni
described by source ap Q6672283 ep
description ap "denoising for improved parametric MRI (Magnetic Resonance Imaging) of the kidney"@en

density fraction coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673915

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "coefficients used in the definition of the density fractions"@en

density of airni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673916

belongs to
quantity c
has facts
described at URL ap Density of air ep
Wikidata QID ap "Q1511415"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mass per unit volume of the atmosphere of the planet Earth"@en

depthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821581

belongs to
quantity c
has facts
Wikidata QID ap "Q930412"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vertical distance below the reference surface"@en

desorption rate constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822194

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate constant for desorption process"@en

detailed balanceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674309

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false" accent="false">→</mo><mi>m</mi><mo>,</mo><mi>m</mi><mo>&gt;</mo><mi>n</mi></mrow></mrow></msub><mo stretchy="false">=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false" accent="false">→</mo><mi>n</mi><mo>,</mo><mi>m</mi><mo>&gt;</mo><mi>n</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
described at URL ap Detailed balance ep
Wikidata QID ap "Q1201087"@en
Description (long) ap "The principle of detailed balance can be used in kinetic systems which are decomposed into elementary processes (collisions, or steps, or elementary reactions)."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "at thermal equilibrium, each elementary process is in equilibrium with its reverse process"@en

determine amplitude of a pendulum (small angle, damped, driven)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822166

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap damping coefficient ni
contains ap gravitational acceleration ni
contains ap length of pendulum ni
contains ap driving frequency ni
contains ap mathematical pendulum amplitude (small angle, damped, driven) ni
description ap "amplitude of a pendulum with friction and periodic driving"@en

determine frequency of a pendulumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821402

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap vibration frequency (harmonic) ni
contains ap gravitational acceleration ni
contains ap length of pendulum ni
contains ap mathematical pendulum frequency ni
description ap "calculate frequency from length and mass of pendulum"@en

determine frequency of a pendulum (small angle)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821156

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap vibration frequency (harmonic) ni
contains ap gravitational acceleration ni
contains ap mathematical pendulum frequency (small angle) ni
contains ap length of pendulum ni
description ap "calculate frequency from length and mass of pendulum, assuming small angle approximation"@en

determine frequency of a pendulum (small angle, damped)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822089

belongs to
computational task c
has facts
Description (long) ap "explanation bla bla"@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap vibration frequency (harmonic) ni
contains ap damping coefficient ni
contains ap gravitational acceleration ni
contains ap length of pendulum ni
contains ap mathematical pendulum frequency (small angle, damped) ni
specialized by ap determine frequency of a pendulum (small angle) ni
description ap "calculate frequency from length and mass of pendulum and from damping coefficient, assuming small angle approximation"@en

determine length of a pendulum (small angle)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821442

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap gravitational acceleration ni
contains ap length of pendulum ni
contains ap vibration period (harmonic) ni
contains ap mathematical pendulum length (small angle) ni
description ap "calculate length from desired period and mass of pendulum, assuming small angle approximation"@en

determine period of a pendulumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821445

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap gravitational acceleration ni
contains ap length of pendulum ni
contains ap pendular amplitude (initial value) ni
contains ap vibration period (harmonic) ni
contains ap mathematical pendulum period ni
described by source ap Q6822088 ep
description ap "calculate period from length and mass of pendulum, for arbitrary initial amplitudes"@en

determine period of a pendulum (small angle)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821441

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap gravitational acceleration ni
contains ap length of pendulum ni
contains ap mathematical pendulum period (small angle) ni
contains ap vibration period (harmonic) ni
description ap "calculate period from length and mass of pendulum, assuming small angle approximation"@en

determine resonance of a pendulum (small angle, damped, driven)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822174

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap vibration frequency (harmonic) ni
contains ap damping coefficient ni
contains ap resonance frequency ni
description ap "resonance frquency of a pendulum with friction and periodic driving"@en

determine trajectory of a pendulumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821444

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap gravitational acceleration ni
contains ap pendular amplitude ni
contains ap length of pendulum ni
contains ap pendular amplitude (initial value) ni
contains ap mathematical pendulum (initial condition) ni
contains ap mathematical pendulum equation ni
description ap "solve equation of motion of a pendulum by numerical integration, for arbitrary initial amplitudes"@en

deterministic mean basis functionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822191

belongs to
quantity c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mo fence="false" stretchy="false">{</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mo fence="false" stretchy="false">}</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn><mo>,</mo><mo>&#x2026;</mo><mo>,</mo><mi>K</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mtext>with</mtext></mrow><mspace width="1em"></mspace><mi>m</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mspace width="1em"></mspace><mi mathvariant="normal">∀</mi><mi>x</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mtext>and</mtext></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn><mspace width="1em"></mspace><mi mathvariant="normal">∀</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mtext>&#xA0;support points</mtext></mrow><mspace width="1em"></mspace><mo stretchy="false">⇒</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "Finite set of known deterministic functions that are linearly independent on the observation locations"@en

deterministic reaction system equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773628

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mi>𝑪</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>11</mn></mrow></munderover><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝑪</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "deterministic ordinary differential equation describing reaction system for sinalling of G-protein"@en

deterministic signalling of G‑protein coupled receptors modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773627

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap deterministic reaction system equation ni
described by source ap Q6774926 ep
description ap "deterministic version of the signalling of G‑protein coupled receptors model"@en

diffusion coefficient ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775363

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "coefficient of diffusion for the for the chain reaction of chemical species A"@en

diffusion coefficient bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775364

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "coefficient of diffusion for the for the chain reaction of chemical species B"@en

diffusion coefficient for SEIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673917

belongs to
quantity c
has facts
Description (long) ap "Describes the spatial mixing of the subpopulations and may, in general, depend on the spatial position."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "spatial mixing of the subpopulations"@en

diffusion fluxni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673918

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "solute mass removal rate resulting from diffusion"@en

diffusion modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675394

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Fick equation ni
description ap "mathematical model describing transport of mass|particles by diffusion"@en

diffusion operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775365

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "diffusion operator used in the reaction diffusion master equation"@en

diffusivity of electron energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775690

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "coefficient for the diffusion of electron energy in a plasma"@en

Dirac delta distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673919

belongs to
quantity c
has facts
Description (long) ap "Value is zero everywhere except at zero, and whose integral over the entire real line is equal to one."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q561379 ep
description ap "generalized function on the real numbers"@en

Dirichlet boundary condition for electric potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534329

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mo>,</mo><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></msub><mo stretchy="false">=</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mo>,</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480715 ep
description ap "Dirichlet boundary condition for the electric potential at an interface"@en

Dirichlet boundary condition for quasi-Fermi potential for electronsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674312

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></msub><mo stretchy="false">=</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480715 ep
description ap "quasi-Fermi potential is given by applied external voltages at the Ohmic contacts, e.g. semiconductor-metal interfaces"@en

Dirichlet boundary condition for quasi-Fermi potential for holesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674313

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></msub><mo stretchy="false">=</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480715 ep
description ap "quasi-Fermi potential is given by applied external voltages at the Ohmic contacts, e.g. semiconductor-metal interfaces"@en

Dirichlet boundary condition in thermodynamic equilibriumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7284045

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mo>,</mo><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo stretchy="false">)</mo><msub><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></msub><mo stretchy="false">=</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mo>,</mo><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "Dirichlet boundary condition for electrostatic potential in thermodynamic equilibrium"@en

discrete element methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675395

belongs to
mathematical model c
has facts
described at URL ap Discrete Element Method ep
Wikidata QID ap "Q902783"@en
Description (long) ap "Describes any family of numerical functions for computing the motion and the effects of a large number of small particles. DEM is an effective method of addressing engineering problems in granular and discontinuous materials, especially in granular flows, powder mechanics, ice and rock mechanics."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
specialized by ap linear discrete element method ni
described by source ap Q6672327 ep
description ap "family of numerical methods for modeling the behavior of assemblies of discrete particles in contact"@en

discrete susceptible infectious modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675231

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap condition to keep susceptibles positive ni
contains ap constant population size ni
contains ap susceptibles at time step n+1 in the discrete SI model ni
contains ap infectious at time step n+1 in the SI model ni
contains ap initial condition for the discrete SI model ni
described by source ap Q1340492 ep
description ap "discrete model for the spreading of infectious diseases considering susceptible and infectious individuals"@en

discrete susceptible infectious removed modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675263

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap condition for positive solutions in the SIR model ni
contains ap infectious at time step n+1 in the SIR model ni
contains ap initial condition for the discrete SIR model with and without births and deaths ni
contains ap removed at time step n+1 in the discrete SIR model ni
contains ap susceptibles at time step n+1 in the discrete SIR model ni
related URL ap The S I R model ep
described by source ap Q1340492 ep
description ap "discrete model for the spreading of infectious diseases considering susceptible, infectious and recovered/removed individuals"@en

discrete susceptible infectious susceptible modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675264

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap condition for positive solutions in the SIS model ni
contains ap initial condition for the continuous SI model and SIS model ni
contains ap second condition for positive solutions in the SIS model ni
contains ap susceptibles at time step n+1 in the discrete SIS model ni
contains ap infectious at time step n+1 in the SIS model ni
related URL ap Other compartmental models ep
described by source ap Q1340492 ep
description ap "discrete-time model for the spreding of infectious diseases with temporary resistance considering susceptible and infectious individuals"@en

displacementni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673920

belongs to
quantity c
has facts
described at URL ap Displacement (geometry) ep
Wikidata QID ap "Q190291"@en
Description (long) ap "Vector that is the shortest distance from the initial to the final position of a point. In elasticity, displacements typically denote the motion of particles/matter from their equilibrium geometry."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Displacement"@en
specialized by ap displacement muscle tendon ni
specialized by ap material point displacement ni
specialized by ap displacement of atoms ni
description ap "vector that is the shortest distance from the initial (equilibrium) to the final (current) position of a point"@en

displacement muscle tendonni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673835

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q190291 ep
description ap "displacements of the muscle-tendon connection compared to the stress-free position"@en

displacement of atomsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673921

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "displacement of atoms from their equilibrium positions in a non-rigid molecule or solid"@en

dissociation constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673922

belongs to
quantity c
has facts
described at URL ap Dissociation constant ep
Wikidata QID ap "Q898254"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap inhibition constant ni
description ap "measures the propensity of a larger object to separate (dissociate) reversibly into smaller components"@en

dissociation into α- and βγ-subunitsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771935

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>L</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>D</mi><mi>P</mi></mrow></mrow></msub><mi>β</mi><mi>γ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>L</mi></mrow></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mrow data-mjx-texclass="ORD"><mtext>GDP</mtext></mrow><mi>β</mi><mi>γ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This receptor–ligand complex activates a trimeric G-protein complex which leads to exchange of GDP by GTP and subsequent dissociation into α- and βγ-subunits."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "dissociation of G-protein into α- and βγ-subunits"@en

distribution of radioactive tracerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775368

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

Dixon equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674314

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775527 ep
description ap "equation for uni uni reaction without product and competitive complete inhibition following steady state assumption"@en

Dixon equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674316

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap Dixon equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
named after ap Q6775527 ep
description ap "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en

Dixon equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674318

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap Dixon equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
named after ap Q6775527 ep
description ap "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en

Dixon equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674320

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775527 ep
description ap "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en

doping profileni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673929

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quantity c
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MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Doping (semiconductor) ep
description ap "intentional introduction of impurities into an intrinsic (undoped) semiconductor for the purpose of modulating its electrical, optical and structural properties"@en

dose-response analysisni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775828

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Hill model (dose-response) ni
modelled by ap Emax model ni
description ap "analysis of system response to increasing stimulus or dose"@en

drag coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673930

belongs to
quantity c
has facts
described at URL ap Drag coefficient ep
Wikidata QID ap "Q1778961"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "dimensionless parameter to quantify fluid resistance"@en

drift velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673869

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quantity c
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described at URL ap Drift velocity ep
Wikidata QID ap "Q909891"@en
Description (long) ap "Average velocity attained by particles due to external forces, e.g. when subjected to an electric field."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "average velocity attained by particles due to external forces"@en

drift-diffusion modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675396

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mathematical model c
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Description (long) ap "Semiconductor drift-diffusion models are closely related to reaction–diffusion systems and Poisson–Nernst–Planck models. The latter are used in biological applications to model electro-diffusive ion transport through ion channels across cell membranes."@en
Description (long) ap "The drift-diffusion system describes the semi-classical transport of free electrons and holes in a self-consistent electric field using a drift-diffusion approximation. It became the standard model to describe the current flow in semiconductor devices such as diodes, transistors, LEDs, solar cells and lasers, as well as quantum nanostructures and organic semiconductors."@en
MaRDI profile type ap Q6534270 ep
used by ap semiconductor charge neutrality ni
used by ap semiconductor thermodynamic equilibrium ni
used by ap semiconductor current voltage ni
community ap Q6534265 ep
contains ap Dirichlet boundary condition for electric potential ni
contains ap Neumann boundary condition for electric potential ni
contains ap Boltzmann approximation for electrons ni
contains ap Boltzmann approximation for holes ni
contains ap continuity equation for electrons ni
contains ap continuity equation for holes ni
contains ap Poisson's equation for the electric potential (semiconductors) ni
contains ap Dirichlet boundary condition for quasi-Fermi potential for electrons ni
contains ap Dirichlet boundary condition for quasi-Fermi potential for holes ni
contains ap Neumann boundary condition for electron Fermi potential ni
contains ap Neumann boundary condition for hole Fermi potential ni
contains ap current density relation for electrons ni
contains ap current density relation for holes ni
discretized by ap Scharfetter-Gummel scheme ni
related URL ap bstj29 4 560 ep
described by source ap Q5367111 ep
described by source ap Q6672206 ep
described by source ap Q7284042 ep
description ap "mathematical model for semiclassical transport of free electrons and holes in a self-consistent electric field"@en

driving frequencyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822170

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quantity c
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MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "frequency of external periodic driving of an oscillatory system"@en

drug concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775853

belongs to
quantity c
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MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of drug in the reaction environment"@en

Dubinin-Astakhov equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821325

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϵ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub><msup><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub></mrow></msup><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Dubinin-Astakhov heterogeneity exponent constraint ni
specialized by ap Dubinin-Astakhov equation ni
description ap "nonlinear micropore adsorption isotherm based on adsorption potential"@en

Dubinin-Astakhov heterogeneity exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821321

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exponent representing heterogeneity"@en

Dubinin-Astakhov heterogeneity exponent assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821323

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mn>2</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for Dubinin-Astakhov heterogeneity exponent"@en

Dubinin-Astakhov heterogeneity exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821322

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>D</mi><mi>A</mi></mrow></mrow></msub><mo>&gt;</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for Dubinin-Astakhov heterogeneity exponent"@en

Dubinin-Astakhov isotherm constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821324

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption energy constant in Dubinin-Astakhov model"@en

Dubinin-Astakhov theoretical isotherm saturation capacityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821320

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum theoretical adsorption capacity in Dubinin-Astakhov model"@en

Dubinin-Radushkevich equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821129

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϵ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mi>d</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi>D</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi>D</mi></mrow></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mi>d</mi></mrow></mrow></msub><msup><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "nonlinear micropore filling isotherm with Gaussian energy term"@en

Dubinin-Radushkevich isotherm constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821132

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quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption energy constant in Dubinin-Radushkevich model"@en

Dubinin-Radushkevich isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821128

belongs to
mathematical model c
has facts
Description (long) ap "The Dubinin-Radushkevich isotherm is an empirical adsorption model originally developed for describing micropore filling of subcritical vapors on porous solids. It assumes a Gaussian distribution of adsorption energies on a heterogeneous surface and uses the Polanyi potential to express the effective adsorption work. The model is temperature-dependent and yields a characteristic curve when adsorption data at different temperatures are plotted against the square of the adsorption potential. The Dubinin-Radushkevich model is often used to distinguish physical from chemical adsorption via its mean free adsorption energy. It typically fits intermediate concentration ranges well but does not satisfy Henry’s law at low concentrations."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Dubinin-Radushkevich model) ni
community ap Q6534265 ep
contains ap Dubinin-Radushkevich equation ni
described by source ap Q6775858 ep
described by source ap Q6821336 ep
named after ap Q6821141 ep
description ap "empirical adsorption model with Gaussian energy distribution on micropores"@en

Dubinin-Radushkevich theoretical isotherm saturation capacityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821131

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum theoretical adsorption capacity in Dubinin-Radushkevich model"@en

Dubinin–Astakhov isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821327

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mathematical model c
has facts
Description (long) ap "The Dubinin–Astakhov isotherm model is an empirical adsorption model developed to describe adsorption in microporous solids using a pore-filling mechanism. It generalizes the Dubinin–Radushkevich model by introducing a (flexible) exponent that allows flexible representation of surface heterogeneity and adsorption energy distributions. While originally proposed for heterogeneous microporous systems, experimental evidence shows that it can also successfully describe adsorption in nearly homogeneous microporous materials. The model expresses adsorption as a function of adsorption potential rather than concentration alone, making it explicitly temperature dependent. It is widely applied in adsorption studies of activated carbons, zeolites, and environmental adsorption processes."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Dubinin–Astakhov model) ni
community ap Q6534265 ep
contains ap Dubinin-Astakhov heterogeneity exponent constraint ni
contains ap Dubinin-Astakhov equation ni
specialized by ap Dubinin-Radushkevich isotherm model ni
described by source ap Q6775858 ep
named after ap Q5729941 ep
named after ap Q6821141 ep
description ap "micropore filling adsorption model with variable heterogeneity"@en

durationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673931

belongs to
quantity c
has facts
Wikidata QID ap "Q2199864"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Time"@en
specialized by ap duration per unit ni
description ap "physical quantity for describing the temporal distance between events"@en

duration per unitni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673932

belongs to
quantity c
has facts
Description (long) ap "Duration of an event per specific unit , e.g. duration per 1km, duration per length, duration of line,..."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "duration of an event per specific unit"@en

dynamic viscosityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673786

belongs to
quantity c
has facts
Wikidata QID ap "Q15152757"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Viscosity ep
description ap "physical property of a moving fluid in free flow"@en

dynamic viscosityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775418

belongs to
quantity kind c
has facts
Wikidata QID ap "Q15152757"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "DynamicViscosity"@en
specialized by ap dynamic viscosity ni
specialized by ap fluid dynamic viscosity (porous medium) ni
description ap "measure of the molecular frictional resistance of a fluid as calculated using Newton's law"@en

dynamical electron scattering modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675392

belongs to
mathematical model c
has facts
Description (long) ap "In crystalline solids, e.g. semiconductor nanostructures, it is influenced by spatial variations in the material composition and by local deformations of the lattice due to elastic strain. In order to model TEM images, we need to use elasticity theory to obtain the strain profile and couple this with the equations describing the electron propagation through the sample."@en
MaRDI profile type ap Q6534270 ep
used by ap mathematical analysis of DHW equation ni
used by ap simulation of TEM images ni
used by ap symmetry analysis in TEM images ni
community ap Q6534265 ep
contains ap Darwin-Howie-Whelan equation for an unstrained crystal ni
contains ap Darwin-Howie-Whelan equation for a strained crystal ni
contains ap initial condition for electron scattering ni
contains ap Hooke's law (linear elasticity) ni
contains ap momentum balance equation ni
contains ap Neumann boundary condition (stress-free relaxation) ni
described by source ap Q6672278 ep
description ap "quantum-mechanical propagation of electrons through a sample governed by dynamical electron scattering"@en

Eadie Hofstee equation (uni uni reaction without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674335

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "equation for uni uni reaction without product following steady state assumption"@en

Eadie Hofstee equation (uni uni reaction without product - irreversibility assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674331

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "equation for uni uni reaction without product following irreversibility assumption"@en

Eadie Hofstee equation (uni uni reaction without product - rapid equilibrium assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674333

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "equation for uni uni reaction without product following rapid equilibrium assumption"@en

Eadie Hofstee equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674327

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "equation for uni uni reaction without product and competitive complete inhibition following steady state assumption"@en

Eadie Hofstee equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674328

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en

Eadie Hofstee equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674329

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en

Eadie Hofstee equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674330

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en

earth massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673935

belongs to
quantity c
has facts
described at URL ap Earth mass ep
Wikidata QID ap "Q681996"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mass of the planet Earth"@en

earth radiusni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673936

belongs to
quantity c
has facts
described at URL ap Earth radius ep
Wikidata QID ap "Q1155470"@en
Description (long) ap "Mean distance from the Earth's center to its surface: A globally-average value is usually considered to be 6,371 kilometres with a 0.3% variability (±10 km)."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
numeric value ap "6371"@en
description ap "mean distance from the Earth's center to its surface"@en

economic yield modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821432

belongs to
mathematical model c
has facts
Description (long) ap "This model computes crop economic yield using the harvest index concept. Economic yield is calculated as the product of harvest index and above-ground biomass at maturity. The formulation assumes that yield is proportional to accumulated vegetative production. The model provides a simplified but robust estimate of harvestable crop yield. It does not explicitly represent grain filling or reproductive organ growth."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of above-ground biomass ni
used by ap computation of crop economic yield ni
community ap Q6534265 ep
contains ap potential crop growth model (biomass) ni
contains ap crop economic yield equation ni
contains ap above-ground biomass equation ni
described by source ap Q6821276 ep
description ap "model computing crop economic yield from above-ground biomass"@en

ecophysiologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821280

belongs to
academic discipline c
has facts
Wikidata QID ap "Q295425"@en
Description (long) ap "Ecophysiology is a scientific discipline that investigates how the physiological processes of organisms respond and adapt to environmental conditions. It focuses on interactions between biological function and external drivers such as temperature, light, water availability, and nutrient supply. The field seeks to explain how these interactions influence growth, development, reproduction, and survival across different environments. Ecophysiology bridges organismal physiology and ecology by linking internal mechanisms to environmental variability. It provides a mechanistic understanding of how organisms function under natural and managed conditions."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap crop phenological development ni
contains ap estimation of potential crop biomass production ni
contains ap crop canopy development ni
contains ap estimation of canopy-intercepted solar radiation ni
contains ap estimation of crop height development ni
contains ap estimation of root biomass partitioning ni
contains ap estimation of crop rooting depth ni
contains ap estimation of vertical root biomass distribution ni
contains ap estimation of harvest index development ni
description ap "study of adaptation of a organism's physiology to environmental conditions"@en

edgeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821513

belongs to
quantity c
has facts
MathWorld ID ap "PolygonEdge"@en
MathWorld ID ap "PolytopeEdge"@en
Wikidata QID ap "Q26382"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
Gran Enciclopèdia Catalana ID ap "arestes"@en
Vikidia article ID ap "fr:Arête_(géométrie)"@en
has facet polytope ap Q7265540 ep
Freebase ID ap "/m/02vrrdq"@en
Gran Enciclopèdia Catalana ID (former scheme) ap "0160377"@en
different from ap Q7266355 ep
different from ap Q7274685 ep
different from ap Q7274686 ep
Iconclass notation ap "49D421"@en
BabelNet ID ap "00071436n"@en
Australian Educational Vocabulary ID ap "scot/5533"@en
Australian Educational Vocabulary ID ap "scot/6564"@en
PACTOLS thesaurus ID ap "pcrtbtkwcvwsc1"@en
Pixiv Encyclopedia ID ap "辺"@en
subclass of ap Q6821645 ep
subclass of ap Q7265514 ep
part of ap Q6482783 ep
part of ap Q6482817 ep
part of ap Q6821645 ep
Microsoft Academic ID ap "31914301"@en
studied in ap Q6481486 ep
Fandom article ID ap "math:Side"@en
said to be the same as ap Q7274686 ep
description ap "line segment joining two adjacent vertices in a polygon or polytope"@en

edge setni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673937

belongs to
quantity c
has facts
Wikidata QID ap "Q124247109"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "set of all edges in a graph"@en

effective conductivityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673938

belongs to
quantity c
has facts
Description (long) ap "Effective conductivity refers to the combined effects of conduction, convection, and radiation heat transfer within an enclosed space or material and measures how effectively the medium can transfer heat."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "combined effects of conduction, convection, and radiation heat transfer within an enclosed space or material"@en

effective density of states in the conduction bandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673827

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "effective density of available electron states in the conduction band of a semiconductor"@en

effective density of states in the valence bandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673831

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "effective density of available hole states in the valence band of a semiconductor"@en

effective massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673939

belongs to
quantity kind c
has facts
described at URL ap Effective mass ep
Wikidata QID ap "Q1064434"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow></mstyle></mrow></math>"@en
Description (long) ap "The mass that a particle appears to have when responding to forces, or the mass that it seems to have when interacting with other identical particles."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "EffectiveMass"@en
specialized by ap effective mass (solid-state physics) ni
specialized by ap effective mass (spring-mass system) ni
description ap "mass that a particle appears to have when responding to forces"@en

effective mass (solid-state physics)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673940

belongs to
quantity c
has facts
described at URL ap Effective mass (solid state physics) ep
Description (long) ap "In solid state physics, effective electron masses are deduced from band structure calculations (curvature of bands). In certain cases, these masses can have negative values. Their absolute values are typically found between 0.01 and 10 times the mass of a free electron."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q1064434 ep
description ap "effective electron masses are deduced from band structure calculations (curvature of bands)"@en

effective mass (spring-mass system)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673941

belongs to
quantity c
has facts
described at URL ap Effective mass (spring% E2%80%93mass system) ep
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mass that needs to be added to a particle mass to correctly predict the behavior of the system"@en

efficient numerical simulation of soil-tool interactionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684654

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap recurrent neural network surrogate for discrete element method ni
described by source ap Q6672210 ep
description ap "computational method for efficient simulation of soil-tool interactions"@en

Egyptologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6032633

belongs to
academic discipline c
has facts
described at URL ap Egyptology ep
Wikidata QID ap "Q145903"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap identify destruction rules in ancient Egyptian objects ni
contains ap sort ancient Egyptian objects ni
FactGrid item ID ap "Q1300700"@en
image ap Tuts%20 Tomb%20 Opened. J P G ep
subclass of ap archaeology ni
description ap "scientific study of ancient Egypt"@en

eigenstress of crystalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673942

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "eigenstress of a crystal (stress-free condition) used in theory of elasticity"@en

elasticity tensorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673944

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover></mstyle><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover></mstyle><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi><mi>l</mi></mrow></mrow></msub><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
described at URL ap Elasticity tensor ep
Wikidata QID ap "Q18708823"@en
Description (long) ap "Used in Hooke's Law for the elastic deformation of a solid."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fourth-order tensor that describes the relationship between stress and strain in a material"@en

electric chargeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534323

belongs to
quantity kind c
has facts
described at URL ap Electric charge ep
Wikidata QID ap "Q1111"@en
ISQ dimension ap "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "ElectricCharge"@en
specialized by ap elementary charge ni
image ap Cargas%20electricas.png ep
description ap "physical property that quantifies an object's interaction with electric fields"@en

electric charge densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673945

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mo stretchy="false">≡</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></munder><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
described at URL ap Charge density ep
Wikidata QID ap "Q69425629"@en
Description (long) ap "summation extends over all particles, i.e., electrons, ions and neutral species"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "VolumeDensityOfCharge"@en
specialized by ap electron density ni
specialized by ap hole density ni
image ap Universal%20charge%20distribution.svg ep
description ap "electric charge per volume"@en

electric currentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673710

belongs to
quantity kind c
has facts
described at URL ap Electric current ep
Wikidata QID ap "Q29996"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "ElectricCurrent"@en
specialized by ap coupling current ni
specialized by ap ion current ni
specialized by ap neural input ni
specialized by ap sensory organ current ni
image ap Ohm%27s%20 Law%20with%20 Voltage%20source%20 Te X.svg ep
description ap "base quantity of the International System of Quantities (ISQ), measured in ampere (A)"@en

electric current densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673738

belongs to
quantity c
has facts
described at URL ap Current density ep
Wikidata QID ap "Q234072"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap electric current density of electrons ni
specialized by ap electric current density of holes ni
description ap "amount of charge per unit time that flows through a unit area.section"@en

electric current density of electronsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673888

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap electric current density of holes ni
description ap "density of electric current of electrons, e.g., in a semiconductor device"@en

electric current density of holesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673891

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap electric current density of electrons ni
description ap "density of electric current of holes, e.g., in a semiconductor device"@en

electric dipole momentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673714

belongs to
quantity kind c
has facts
described at URL ap Electric dipole moment ep
Wikidata QID ap "Q735135"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector physical quantity measuring the separation of positive and negative electrical charges within a system"@en

electric dischargeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775635

belongs to
research problem c
has facts
described at URL ap Electric discharge ep
Wikidata QID ap "Q488071"@en
Description (long) ap "The properties and effects of electric discharges are useful over a wide range of magnitudes. Tiny pulses of current are used to detect ionizing radiation in a Geiger–Müller tube. A low steady current can illustrate the gas spectrum in a gas-filled tube. A neon lamp is an example of a gas-discharge lamp, useful both for illumination and as a voltage regulator. A flashtube generates a short pulse of intense light useful for photography by sending a heavy current through a gas arc discharge. Corona discharges are used in photocopiers."@en
MaRDI profile type ap Q6534269 ep
describes a project that uses ap Q13313 ep
describes a project that uses ap Q16278 ep
community ap Q6534265 ep
modelled by ap fluid Poisson model: non-thermal plasma ni
modelled by ap plasma modeling ni
local image ap File: F E D M spatial profiles.png ep
described by source ap Q6822116 ep
described by source ap Q6822147 ep
described by source ap Q6822188 ep
source code repository ap M C Plas ep
source code repository ap adamant ep
source code repository ap index.html ep
description ap "flow of electric charge through a gas, liquid or solid"@en

electric fieldni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673689

belongs to
quantity kind c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi><mo stretchy="false">≡</mo><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mi>ϕ</mi></mstyle></mrow></math>"@en
described at URL ap Electric field ep
Wikidata QID ap "Q46221"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "ElectricFieldStrength"@en
image ap Van%20de%20 Graaff%20 Generator%20 %20 Science%20 City%20 %20 Calcutta%201997%20444. J P G ep
description ap "vector field representing the force applied to a charged test particle"@en

electric potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534319

belongs to
quantity c
has facts
described at URL ap Electric potential ep
Wikidata QID ap "Q55451"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "ElectricPotential"@en
specialized by ap membrane potential ni
description ap "line integral of the electric field"@en

electric potential Fourier coefficientsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673950

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q1532609 ep
description ap "coefficients in a Fourier expansion of the electric potential"@en

electrical conductivityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673713

belongs to
quantity kind c
has facts
Wikidata QID ap "Q4593291"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "When subject to an electric field, the negatively charged electrons and positively charged atomic nuclei are subject to opposite forces and undergo charge separation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Conductivity"@en
specialized by ap effective conductivity ni
related URL ap Electrical resistivity and conductivity ep
description ap "physical quantity and property of material describing how readily a given material allows the flow of electric current"@en

electrical mobilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775684

belongs to
quantity kind c
has facts
described at URL ap Electrical mobility ep
Wikidata QID ap "Q900648"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Mobility"@en
specialized by ap mobility of electrons ni
specialized by ap mobility of holes ni
description ap "quotient of the mean drift speed of a charged particle caused by an electric field in a medium and the electric field strength"@en

electrode interfacesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534326

belongs to
quantity c
has facts
Description (long) ap "Positions of the electrode interfaces. Typically used to specify boundary conditions for electric fields or electron|hole densities in semiconductor-metal interfaces (Ohmic contacts)."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "positions of the electrode interfaces"@en

electromagnetic fieldni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684655

belongs to
research problem c
has facts
described at URL ap Electromagnetic field ep
Wikidata QID ap "Q177625"@en
Description (long) ap "Given the initial fields E(r, t = 0) and B(r, t = 0), given full charge density ρ(r, t) and the current density j(r, t), find the electric and magnetic fields, E(r, t) and B(r, t)."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Maxwell's equations ni
modelled by ap multipole expansion ni
related URL ap Electromagnetic radiation ep
description ap "physical fields produced by electrically charged objects"@en

electron densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673826

belongs to
quantity c
has facts
described at URL ap Electron density ep
Wikidata QID ap "Q905186"@en
Description (long) ap "For use in semiconductor physics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap hole density ni
similar to ap electric charge density ni
description ap "density of electrons per volume"@en

electron energy densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775687

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>w</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>w</mi><mo stretchy="false">≡</mo><mi>n</mi><mi>u</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "energy density of electrons in a plasma"@en

electron energy fluxni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775691

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "flux of electron energy in a plasma"@en

electron energy flux (drift-diffusion)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775692

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>w</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Q</mi><mo stretchy="false">=</mo><mi>w</mi><mi>b</mi><mi mathvariant="normal">∇</mi><mi>ϕ</mi><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">(</mo><mi>D</mi><mi>w</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "drift-diffusion model for the flux of electron energy"@en

electron energy sourceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775693

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "source and sink terms describing the gain and loss of electron energy in collision processes in a plasma"@en

electron flux densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775695

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "flux density of electrons in a plasma"@en

electron massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673951

belongs to
quantity c
has facts
described at URL ap Electron mass ep
Wikidata QID ap "Q3814108"@en
Description (long) ap "In particle physics, the mass of a stationary electron is one of the fundamental constants of physics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT constant ID ap "ElectronMass"@en
description ap "mass of a stationary electron"@en

electron shuttling modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534342

belongs to
mathematical model c
has facts
Description (long) ap "Quantum dynamical modeling of an electron to be shuttled, governed by the electric potential generated by the clavier (and other) gates in a Silicon QuBus device. Spin and valley states as well as the respective interactions are neglected. Moreover, the current model is limited to the coherent wave packet evolution and disregards the effects of noise and dissipation."@en
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap quantum time evolution ni
used by ap quantum stationary states ni
used by ap semiconductor charge neutrality ni
community ap Q6534265 ep
contains ap Lindblad equation ni
contains ap Laplace equation for the electric potential ni
contains ap Dirichlet boundary condition for electric potential ni
contains ap Neumann boundary condition for electric potential ni
contains ap periodic boundary condition for electric potential ni
contains ap time-independent Schrödinger equation for electric charges ni
contains ap time-dependent Schrödinger equation for electric charges ni
local image ap File:3082a.jpg ep
local image ap File:3082b.jpg ep
described by source ap Q6672211 ep
description ap "quantum dynamical model of an electron to be shuttled in a Si/SiGe quantum bus"@en

electrophysiological muscle modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675402

belongs to
mathematical model c
has facts
external data available at URL ap darus 4031 ep
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap electrophysiological muscle ODE system ni
described by source ap Q6668629 ep
description ap "mathematical model of the neuromuscular system combining continuum mechanics models with electrophysiological models"@en

electrophysiological muscle ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674244

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>¨</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>˙</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mover><mi>𝐱</mi><mo>¨</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi></mrow><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>passive</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>active</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo>,</mo><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><msubsup><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>T</mi></mrow></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>,</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi></mrow><mo stretchy="false">⋅</mo><mtext>&#160;</mtext><msub><mrow data-mjx-texclass="ORD"><mover><mi>𝐱</mi><mo>˙</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><mn>0</mn><mtext>&#160;</mtext></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>in</mtext></mrow><mtext>&#160;</mtext><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">×</mo><mo stretchy="false">[</mo><mn>0</mn><mo>,</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>end</mtext></mrow></mrow></msub><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mover><mi>𝐱</mi><mo>¨</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi></mrow><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>passive</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>active</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo>,</mo><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><msubsup><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>T</mi></mrow></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>,</mo></mtd><mtd class="mwe-math-columnalign-r"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mtext>&#160;</mtext><msub><mrow data-mjx-texclass="ORD"><mover><mi>𝐱</mi><mo>˙</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">=</mo><mn>0</mn><mtext>&#160;</mtext></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>in</mtext></mrow><mtext>&#160;</mtext><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">×</mo><mo stretchy="false">[</mo><mn>0</mn><mo>,</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>end</mtext></mrow></mrow></msub><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mover><mi>𝐱</mi><mo>¨</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi></mrow><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>passive</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><msubsup><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>T</mi></mrow></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>,</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi></mrow><mo stretchy="false">⋅</mo><mtext>&#160;</mtext><msub><mrow data-mjx-texclass="ORD"><mover><mi>𝐱</mi><mo>˙</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo stretchy="false">=</mo><mn>0</mn><mtext>&#160;</mtext></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>in</mtext></mrow><mtext>&#160;</mtext><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo stretchy="false">×</mo><mo stretchy="false">[</mo><mn>0</mn><mo>,</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>end</mtext></mrow></mrow></msub><mo stretchy="false">)</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "One continuum mechanics three-dimensional model for each participant. The equations originate from conservation of mass and momentum for each participant."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap boundary conditions of electrophysiological muscle ODE system ni
description ap "three-dimensional electrophysiological model for a muscle"@en

elementary chargeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673828

belongs to
quantity c
has facts
described at URL ap Elementary charge ep
Wikidata QID ap "Q2101"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "ElementaryCharge"@en
description ap "electric charge carried by a single proton or a single positron"@en

Elovich equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775817

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption affinity constant in the Elovich isotherm"@en

Elovich isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775814

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap linear Elovich isotherm equation ni
description ap "empirical adsorption equation based on exponential energy variation"@en

Elovich isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775813

belongs to
mathematical model c
has facts
Description (long) ap "The Elovich isotherm model is an empirical adsorption model derived from the Elovich kinetic equation, assuming that the adsorption activation energy increases exponentially with surface coverage. It describes adsorption on highly heterogeneous surfaces where the distribution of site energies varies widely. Unlike classical monolayer isotherms, the Elovich model may represent multilayer or strongly heterogeneous adsorption rather than uniform monolayer behavior. The model relates equilibrium adsorption to solute concentration through an exponential function involving the adsorbed amount. It is used in environmental and wastewater-treatment studies to characterize chemisorption-like or heterogeneity-dominated adsorption systems."@en
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (Elovich isotherm) ni
used by ap nonlinear parameter estimation (Elovich isotherm) ni
community ap Q6534265 ep
contains ap Elovich isotherm equation ni
described by source ap Q6775724 ep
description ap "empirical adsorption isotherm based on exponential energy variation"@en

Emax equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775841

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>50</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>50</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "hyperbolic equation describing non-cooperative dose–response"@en

Emax modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775840

belongs to
mathematical model c
has facts
Description (long) ap "The Emax model in its non-cooperative form is a pharmacodynamic dose–response model that describes how drug effect increases with concentration in a simple hyperbolic manner. It assumes no cooperativity in the system, meaning the Hill coefficient is fixed at one, producing a non-sigmoidal saturation curve. The model is characterized by a maximal achievable effect and the concentration that produces half of this maximum, offering intuitive measures of drug efficacy and potency. As the n = 1 specialization of the Hill dose-response model, it represents the simplest form of saturable concentration–effect behavior. This non-cooperative Emax model is widely used in pharmacology, toxicology, and pharmacokinetic–pharmacodynamic analyses when dose–response relationships do not exhibit sigmoidal characteristics."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Emax model) ni
community ap Q6534265 ep
contains ap Emax equation ni
described by source ap Q6775861 ep
description ap "non-cooperative hyperbolic dose–response model"@en

emission tomography (no scatter no attenuation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775430

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
description ap "emission tomography with assumptions: no Scatter no attenuation"@en

emission tomography (no scatter with attenuation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775425

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap SPECT known attenuation ni
used by ap SPECT unknown attenuation ni
community ap Q6534265 ep
contains ap Boltzmann equation for moving particles (time continuous, no scatter assumption) ni
contains ap ET measurement equation (no scatter, with attenuation) ni
specialized by ap emission tomography (no scatter no attenuation) ni
related URL ap Radon transform ep
related URL ap Q979829 ep
description ap "emission tomography with assumptions: no Scatter but with attenuation"@en

empirical distribution of individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673955

belongs to
quantity c
has facts
Description (long) ap "Empirical distribution of individuals that follow a specific medium and influencer at a given time by the sum of Dirac Delta distributions placed at the individuals’ opinions."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "empirical distribution of individuals that follow a specific medium and influencer"@en

empirical distribution of individuals formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674458

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>δ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></mrow></msubsup><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mtable displaystyle="true"><mtr><mtd><mi>i</mi><mo stretchy="false">:</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mn>1</mn></mtd></mtr><mtr><mtd><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>1</mn></mtd></mtr></mtable></mrow></munder><mi>δ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Empirical distribution of individuals that follow a medium 𝑚 and influencer 𝑙 at time 𝑡 by the sum of Dirac delta distributions δ placed at the individuals’ opinions. This distribution describes the stochastic opinion instances at a given time and integrates to ∫ᴰ ρₘ,ₗ⁽ᴺ⁾(𝑥, 𝑡) 𝑑𝑥 ≔ 𝑛ₘ,ₗ⁽ᴺ⁾(𝑡), the proportion of individuals that follow medium 𝑚 and influencer 𝑙."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap limiting distribution of individuals formulation ni
description ap "empirical distribution of individuals that follow a medium and influencer"@en

energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673696

belongs to
quantity kind c
has facts
described at URL ap Energy ep
Wikidata QID ap "Q11379"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Energy"@en
specialized by ap band edge energy for conduction band ni
specialized by ap band edge energy for valence band ni
specialized by ap quasi-Fermi potential for electrons ni
specialized by ap quasi-Fermi potential for holes ni
specialized by ap Hamiltonian function ni
image ap Electric%20power%20transmission.jpg ep
description ap "quantitative property of a physical system, recognizable in the performance of work and in the form of heat and light"@en

energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830556

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
description ap "foo"@en

engineeringni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q74913

belongs to
academic discipline c
has facts
Wikidata QID ap "Q11023"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap environmental engineering ni
specialized by ap chemical engineering ni
description ap "applied science"@en

environmental engineeringni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775711

belongs to
academic discipline c
has facts
Wikidata QID ap "Q146326"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap biological wastewater treatment ni
contains ap chemical wastewater treatment ni
image ap Schematic%20view%20of%20a%20successful%20reforestation%20programme%20 %20 Gcb15498 fig 0005 m.webp ep
description ap "professional engineering discipline related to environmental science"@en

enzyme - product 1 - complex concentration ODE (bi bi reaction ordered with single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674185

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en

enzyme - product 1 - complex concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674177

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

enzyme - product 1 - product 2 - complex concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674176

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

enzyme - product 1 - product 2 complex concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673798

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of enzyme - product 1 - product 2 complex present in a reaction environment"@en

enzyme - product 1 complex concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673797

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of enzyme - product 1 complex present in a reaction environment"@en

enzyme - product 2 - complex concentration ODE (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674234

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

enzyme - product 2 complex concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673821

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of enzyme - product 2 complex present in a reaction environment"@en

enzyme - substrate - complex concentration ODE (uni uni reaction)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674346

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an uni uni reaction"@en

enzyme - substrate 1 - complex concentration ODE (bi bi reaction ordered with single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674187

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en

enzyme - substrate 1 - complex concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674179

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

enzyme - substrate 1 - complex concentration ODE (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674212

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en

enzyme - substrate 1 - complex concentration ODE (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674235

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

enzyme - substrate 1 - substrate 2 - complex concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674178

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 - complex concentration ODE (bi bi reaction ordered with single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674186

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with Single Central complex"@en

enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complex concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673815

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of enzyme - substrate 1 - substrate 2 = enzyme -product 1 - product 2 complex present in a reaction environment"@en

enzyme - substrate 1 - substrate 2 complex concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673800

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of enzyme - substrate 1 - substrate 2 complex present in a reaction environment"@en

enzyme - substrate 1 complex concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673799

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of enzyme - substrate 1 complex present in a reaction environment"@en

enzyme concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673796

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap complexed enzyme concentration ni
description ap "amount of enzyme present in a reaction environment"@en

enzyme concentration ODE (bi bi reaction ordered with single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674188

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with Single Central complex"@en

enzyme concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674180

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

enzyme concentration ODE (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674213

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en

enzyme concentration ODE (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674236

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

enzyme concentration ODE (uni uni reaction)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674345

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an uni uni reaction"@en

enzyme conservationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674164

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>X</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>X</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap initial enzyme concentration (uni uni reaction - Michaelis Menten model) ni
description ap "enzyme molecules are neither formed nor destroyed during the reaction"@en

enzyme kineticsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684695

belongs to
academic discipline c
has facts
described at URL ap Enzyme kinetics ep
Wikidata QID ap "Q883112"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap bi bi reaction ni
contains ap bi bi reaction following ping pong mechanism ni
contains ap initial reaction rate of bi bi reaction following ping pong mechanism with product 1 ni
contains ap initial reaction rate of bi bi reaction following ping pong mechanism with product 2 ni
contains ap initial reaction rate of bi bi reaction following ping pong mechanism with products 1 and 2 ni
contains ap initial reaction rate of bi bi reaction following ping pong mechanism without products ni
contains ap initial reaction rate of bi bi reaction following ordered mechanism with product 1 ni
contains ap initial reaction rate of bi bi reaction following ordered mechanism with product 1 and single central complex ni
contains ap initial reaction rate of bi bi reaction following ordered mechanism with product 2 ni
contains ap initial reaction rate of bi bi reaction following ordered mechanism with product 2 and single central complex ni
contains ap initial reaction rate of bi bi reaction following ordered mechanism with products 1 and 2 ni
contains ap initial reaction rate of bi bi reaction following ordered mechanism with products 1 and 2 and single central complex ni
contains ap initial reaction rate of bi bi reaction following ordered mechanism without products ni
contains ap initial reaction rate of bi bi reaction following ordered mechanism without products and single central complex ni
contains ap bi bi reaction following ordered mechanism ni
contains ap bi bi reaction following ordered mechanism with single central complex ni
contains ap initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 1 ni
contains ap initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 2 ni
contains ap initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 1 and 2 ni
contains ap initial reaction rate of bi bi reaction following Theorell-Chance mechanism without products ni
contains ap bi bi reaction following Theorell-Chance mechanism ni
contains ap initial reaction rate of uni uni reaction with product ni
contains ap initial reaction rate of uni uni reaction without product ni
contains ap uni uni reaction ni
contains ap uni uni reaction with competitive complete inhibition ni
contains ap uni uni reaction with reversible complete inhibition ni
contains ap uni uni reaction with competitive partial inhibition ni
contains ap uni uni reaction with reversible partial inhibition ni
contains ap uni uni reaction with mixed complete inhibition ni
contains ap uni uni reaction with mixed partial inhibition ni
contains ap uni uni reaction with non-competitive complete inhibition ni
contains ap uni uni reaction with non-competitive partial inhibition ni
contains ap uni uni reaction with uncompetitive complete inhibition ni
contains ap uni uni reaction with uncompetitive partial inhibition ni
described by source ap Q6672234 ep
image ap Ec D H F R%20raytraced.png ep
description ap "study of rates of enzyme-catalyzed reactions"@en

enzyme-substrate complex concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673958

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of enzyme-substrate complex present in a reaction environment"@en

epidemiologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684705

belongs to
academic discipline c
has facts
described at URL ap Epidemiology ep
Wikidata QID ap "Q133805"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap spreading of infectious diseases ni
image ap 3548786222%207a3d3208d3%20b Influenza Grippe.jpg ep
description ap "study of the patterns, causes, and effects of health and disease conditions"@en

equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673959

belongs to
quantity c
has facts
described at URL ap Equilibrium constant ep
Wikidata QID ap "Q857809"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap equilibrium constant (bi bi reaction ordered - steady state assumption) ni
description ap "equilibrium constant of a chemical reaction is the value of its reaction quotient at chemical equilibrium, a state approached after sufficient time"@en

equilibrium constant (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674347

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equilibrium constant"@en

equilibrium constant (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673960

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "equilibrium constant of bi bi rection following ordered mechnism with steady state assumption"@en

equilibrium constant (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674348

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equilibrium constant"@en

equilibrium constant (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674349

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "equilibrium constant"@en

estimation of astronomical daylengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821353

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap daylength model ni
description ap "determine daily photoperiod from Earth–Sun geometry"@en

estimation of biological nitrogen fixation in legume cropsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822115

belongs to
research problem c
has facts
Description (long) ap "This research problem concerns the quantitative estimation of biologically fixed atmospheric nitrogen in legume crops during the growing season. It addresses nitrogen fixation resulting from symbiotic interactions between legume roots and nitrogen-fixing microorganisms, and its dependence on plant nitrogen demand, phenological development, soil water availability, and soil nitrate content. The problem is central to modeling crop nitrogen dynamics, nutrient cycling, and fertilizer substitution effects in agroecosystems."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap plant nitrogen fixation model ni
description ap "quantify biological nitrogen fixation"@en

estimation of canopy-intercepted solar radiationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821359

belongs to
research problem c
has facts
Description (long) ap "This research problem concerns the estimation of the portion of incoming solar radiation that is intercepted by a plant canopy. Intercepted radiation determines the energy available for photosynthesis and biomass production. The amount intercepted depends on canopy structure and leaf area distribution. Accurate estimation is essential for modeling plant growth and energy exchange processes. The problem links physical radiation principles with biological canopy properties."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap solar radiation interception model ni
description ap "quantify radiation intercepted by a plant canopy"@en

estimation of crop economic yieldni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821434

belongs to
research problem c
has facts
Description (long) ap "This research problem concerns the estimation of harvestable crop yield based on biomass production. Economic yield represents the portion of plant biomass that can be removed from the field. Accurate yield estimation is central to agricultural and food system modeling. The problem links biomass accumulation with reproductive allocation."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap economic yield model ni
description ap "quantify harvestable yield from above-ground crop biomass"@en

estimation of crop height developmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821365

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap crop height model ni
description ap "quantify crop height as a function of phenological development"@en

estimation of crop nitrogen uptake under varying soil conditionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822043

belongs to
research problem c
has facts
Description (long) ap "This research problem concerns the estimation of crop nitrogen uptake as constrained by plant demand and soil nitrogen availability. It addresses how nitrogen demand evolves with crop growth and how soil processes supply nitrogen to roots through water-driven transport. The problem is central to understanding nutrient limitations on crop productivity and nitrogen cycling in agroecosystems."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap plant nitrogen uptake and demand model ni
description ap "quantify crop nitrogen demand and soil nitrogen supply"@en

estimation of crop rooting depthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821394

belongs to
research problem c
has facts
Description (long) ap "This research problem addresses the estimation of how deep crop roots extend into the soil over time. Rooting depth determines access to water and nutrients stored in deeper soil layers and influences crop resilience to drought. In many crops, rooting depth increases rapidly early in development and reaches its maximum before maturity. Accurate representation of rooting depth is essential for modeling soilplant interactions and belowground resource availability. The problem links phenological development with physical constraints imposed by soil depth."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap root depth model ni
description ap "quantify the vertical extent of the crop root system"@en

estimation of crop water useni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821602

belongs to
research problem c
has facts
Description (long) ap "This research problem addresses how crops extract water from the soil to meet atmospheric demand. Plant water use depends on canopy development, soil moisture availability, and the ability of plants to compensate for local water deficits. The problem links soil hydrology with plant physiological demand."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap crop water usage model ni
description ap "quantify plant water uptake from soil"@en

estimation of harvest index developmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821433

belongs to
research problem c
has facts
Description (long) ap "This research problem addresses how crops allocate above-ground biomass to reproductive or economic organs over time. Harvest index is often relatively stable at maturity but develops dynamically during the growing season. Accurately representing its development is essential for predicting crop yield. The problem links phenological development with above-ground biomass partitioning to reproductive structures."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap harvest index development model ni
description ap "quantify temporal allocation of above-ground biomass to crop yield"@en

estimation of phosphorus uptake and demand in cropsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824238

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap plant phosphorus uptake and demand model ni
description ap "quantifying crop phosphorus demand and soil supply"@en

estimation of potential crop biomass productionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821316

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap potential crop growth model (biomass) ni
description ap "quantifying maximum crop growth from radiation input"@en

estimation of root biomass partitioningni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821392

belongs to
research problem c
has facts
Description (long) ap "This research problem addresses the estimation of how total crop biomass growth is partitioned between aboveground and belowground components. Biomass allocation to roots varies systematically over the growing season and influences soil resource uptake. Representing this allocation is essential for modeling crop growth and plant–soil interactions. The problem focuses on capturing empirically observed shifts in partitioning as crops develop from emergence to maturity."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap root biomass partitioning model ni
description ap "quantify allocation of crop biomass to roots"@en

estimation of vertical root biomass distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821395

belongs to
research problem c
has facts
Description (long) ap "This research problem concerns the representation of how crop root biomass is distributed vertically within the soil profile. Root distribution determines which soil layers contribute to water and nutrient uptake. A realistic description must account for functional root activity rather than only geometric depth. The problem focuses on linking root growth allocation to soil-layer-specific conditions, such as water availability. Accurate representation of vertical root distribution is essential for modeling soil-plant interactions and crop responses to environmental stress."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap root biomass distribution model ni
description ap "quantify how root growth is distributed across soil layers"@en

ET measurement equation (no scatter, no attenuation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775458

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi><mo stretchy="false">(</mo><mi>θ</mi><mo>,</mo><mi>s</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo stretchy="false">⋅</mo><mi>θ</mi><mo stretchy="false">=</mo><mi>s</mi></mrow></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "emission tomography equation neglecting scattering and attenuation"@en

ET measurement equation (no scatter, with attenuation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775460

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><msup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msup><mi>μ</mi><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><mi>s</mi></mrow></mrow></msup><mspace width="0.167em"></mspace><mi>d</mi><mi>x</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap ET measurement equation (no scatter, no attenuation) ni
specialized by ap positron emission tomography equation ni
related URL ap Radon transform ep
related URL ap Q979829 ep
description ap "emission tomography equation neglecting scattering but including attenuation"@en

Euler forward methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674265

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><mi>h</mi><mi>f</mi><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>,</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Euler method ep
related URL ap Q868454 ep
named after ap Q6480817 ep
description ap "in mathematics and computational science, this method is a first-order numerical procedure for solving ODEs with a given initial value"@en

Euler methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674351

belongs to
formula c
has facts
described at URL ap Euler method ep
Wikidata QID ap "Q868454"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Euler forward method ni
specialized by ap backward Euler method ni
named after ap Q6480817 ep
description ap "first-order numerical procedure for solving ordinary differential equations with a given initial value"@en

evaluation of biokinetic parametersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775666

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental data for biomass concentration and substrate concentration in a bioreactor. The objective is to determine key kinetic parameters, including the maximum specific growth rate, Monod constant, and death rate coefficient, by fitting a dynamic model of biomass growth and substrate consumption to the observed data."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap substrate concentration ni
contains ap maximum specific growth rate ni
contains ap Monod constant ni
contains ap biomass concentration ni
contains ap death rate coefficient ni
contains ap biomass-substrate kinetic equations (Monod) ni
description ap "kinetic batch reactor model following Monod"@en

evaluation of biokinetic parametersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775668

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental data for biomass concentration and substrate concentration in a bioreactor. The objective is to determine key kinetic parameters, including the maximum specific growth rate, Monod constant, inhibition constant, and death rate coefficient, by fitting a dynamic model of biomass growth and substrate consumption to the observed data."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap substrate concentration ni
contains ap maximum specific growth rate ni
contains ap Monod constant ni
contains ap inhibition constant (Andrews) ni
contains ap biomass concentration ni
contains ap death rate coefficient ni
contains ap biomass-substrate kinetic equations (Haldane) ni
description ap "kinetic batch reactor model following Haldane"@en

evaluations posterior predictive distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775326

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "evaluation points: X = (xᵢ)ᵢ₌₁ⁿ and evaluations Y = (yᵢ)ᵢ₌₁ⁿ = (f(xᵢ))ᵢ₌₁ⁿ for the posterior predictive distribution"@en

evolution of the concentration of particles PDEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775461

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">∗</mo><mi>c</mi><mo stretchy="false">(</mo><mo stretchy="false">⋅</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>F</mi><mo>&#x2032;</mo></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>c</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>c</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">∗</mo><mi>c</mi><mo stretchy="false">(</mo><mo stretchy="false">⋅</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mi>x</mi></mrow></mrow></msub><mi>c</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "This is a nonlinear, nonlocal Fokker-Planck equation that is also called McKean-Vlasov PDE or aggregation-diffusion equation."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "spatiotemporal evolution of the concentration of particles depending on the position and time"@en

evolution of the concentration of particles SPDEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775462

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ξ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">∗</mo><mi>c</mi><mo stretchy="false">(</mo><mo stretchy="false">⋅</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>c</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>c</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">∗</mo><mi>c</mi><mo stretchy="false">(</mo><mo stretchy="false">⋅</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mi>x</mi></mrow></mrow></msub><mi>c</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mi>N</mi></msqrt></mrow></mrow></mfrac></mrow><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mi>c</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></msqrt></mrow><mi>ξ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "randomness is maintained by this stochastic equation also known as Dean-Kawasaki equation"@en

evolution of the position of a particle SDEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775463

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></munderover><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>t</mi><mo stretchy="false">+</mo><mi>σ</mi><mi>d</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "𝑋(𝑡) = (𝑋₁(𝑡), …, 𝑋ₙ(𝑡)) denote the (random) system state at time 𝑡"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap Brownian equation ni
description ap "positions of particles evolve according to this set of coupled SDEs"@en

excess substrate assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775464

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">≫</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">→</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">≈</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap initial substrate concentration (uni uni reaction) ni
description ap "substrate concentration much higher than enzyme concentration"@en

excitation errorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673964

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
described by source ap Q6672278 ep
description ap "in dynamical electron scattering, the excitation error shows how well the Laue condition is satisfied"@en

expectationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673718

belongs to
quantity kind c
has facts
described at URL ap Expected value ep
Wikidata QID ap "Q200125"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap expectation value (quantum density) ni
specialized by ap expectation value (quantum state) ni
description ap "long-run average value of a random variable"@en

expectation value (quantum density)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673965

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">⟨</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>O</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>O</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">⟨</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>O</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">⟩</mo><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">t</mi><mi mathvariant="normal">r</mi></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>O</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ρ</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap expectation value (quantum state) ni
related URL ap Expectation value (quantum mechanics) ep
related URL ap Q2918589 ep
description ap "expected (mean) value of a quantum-mechanical observable, calculated from a density"@en

expectation value (quantum state)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673967

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">⟨</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>O</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>O</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">⟨</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>O</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">⟩</mo><mo stretchy="false">≡</mo><mo stretchy="false">⟨</mo><mi>ψ</mi><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>O</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Expectation value (quantum mechanics) ep
description ap "expected (mean) value of a quantum-mechanical observable, calculated from a state vector"@en

exposure of an individualni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673969

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exposure (time) of an individual at a certain age"@en

external chemical potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673839

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "chemical potential on the boundary of a domain, i.e., an interface"@en

external force densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673840

belongs to
quantity c
has facts
Description (long) ap "In fluid mechanics, the force density is the negative gradient of pressure. It has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q4117184 ep
description ap "vector field representing the flux density of the hydrostatic force within the bulk of a fluid"@en

extract logical rulesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684564

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap Boolean ring ni
contains ap Gröbner basis ni
contains ap logical rule extraction formulation ni
description ap "extract logical rules underlying a boolean ring"@en

extrinsic mortalityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673971

belongs to
quantity c
has facts
described at URL ap Extrinsic mortality ep
Wikidata QID ap "Q60776128"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "sum of the effects of external factors that contribute to death"@en

far field radiationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684565

belongs to
computational task c
has facts
Description (long) ap "Given ρ(r, t) and j(r, t) that are localized in some domain in space, calculate E(r, t) and B(r, t) far from this domain. For instance, calculate the electromagnetic field emitted by an oscillating dipole."@en
Description (long) ap "The far field is a region of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Electromagnetic radiation far-field behaviors predominate at greater distances."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
related URL ap Near and far field ep
description ap "electromagnetic radiation behaviors that predominate at greater distances"@en

Faraday's law of inductionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674353

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∇</mi><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mi>𝐄</mi></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Faraday%27s law of induction ep
Wikidata QID ap "Q181465"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6018842 ep
description ap "basic law of electromagnetism of magnetic fields inducing a potential difference"@en

feedforward neural networkni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675404

belongs to
mathematical model c
has facts
described at URL ap Feedforward neural network ep
Wikidata QID ap "Q5441227"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
description ap "artificial neural network wherein connections between the nodes do not form a cycle"@en

fewest switches surface hopping 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775432

belongs to
mathematical model c
has facts
Description (long) ap "The trajectories for the heavy particle(s) are propagated on a single potential energy surface (PES) of the light particle(s), but they are allowed to change surface, especially near regions of large nonadiabatic couplings."@en
MaRDI profile type ap Q6534270 ep
used by ap heavy particle propagation ni
used by ap heavy particle velocity adjustment ni
used by ap light particle nonadiabatic transitions ni
community ap Q6534265 ep
contains ap heavy particle Newton equation ni
contains ap light particle nonadiabatic criterion 1 ni
contains ap light particle TISE ni
related URL ap Surface hopping ep
related URL ap Q17155550 ep
described by source ap Q6775304 ep
description ap "original fewest switches surface hopping trajectories for quantum-classical dynamics"@en

fewest switches surface hopping 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775433

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap heavy particle propagation ni
used by ap heavy particle velocity adjustment ni
used by ap light particle nonadiabatic transitions ni
community ap Q6534265 ep
contains ap heavy particle Newton equation ni
contains ap light particle nonadiabatic criterion 2 ni
contains ap light particle TISE ni
related URL ap Surface hopping ep
related URL ap Q17155550 ep
described by source ap Q6775308 ep
description ap "improved fewest switches surface hopping trajectories for quantum-classical dynamics"@en

fiber contraction velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673972

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "speed at which muscle fibers change length during a contraction"@en

fiber stretchni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673973

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "stretch of a fibre, e.g. in a muscle"@en

Fick equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674310

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>α</mi><mi mathvariant="normal">∇</mi><mi>u</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Fick%27s laws of diffusion ep
related URL ap Q856634 ep
named after ap Q6775532 ep
description ap "mathematical description for transport of mass|particles by diffusion"@en

field capacity water content of soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821586

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap field capacity water content of upper soil layer ni
description ap "water content of soil layer after drainage"@en

field capacity water content of upper soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822101

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "water content after drainage of top 0.3 m soil"@en

filtered value of imageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775371

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "filtered value of image, used in image processing"@en

final conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534267

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "state of one or multiple variables of a system at the end of an evolution"@en

finite element methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775613

belongs to
formula c
has facts
described at URL ap Finite element method ep
Wikidata QID ap "Q220184"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "numerical method for solving physical or engineering problems"@en

finite volume methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674355

belongs to
formula c
has facts
described at URL ap Finite volume method ep
Wikidata QID ap "Q1401936"@en
Description (long) ap "Finite volume methods can be compared and contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations of a solution using local data, and construct a global approximation by stitching them together."@en
Description (long) ap "In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem. These terms are then evaluated as fluxes at the surfaces of each finite volume."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap continuity equation for electrons (finite volume) ni
specialized by ap continuity equation for holes (finite volume) ni
specialized by ap Darcy equation (finite volume) ni
specialized by ap Poisson equation for the electric potential (finite volume) ni
specialized by ap Stokes equation (finite volume) ni
zbMATH conecept ID ap "finite volume method"@en
description ap "method for representing and evaluating partial differential equations in the form of algebraic equations"@en

fixation growth stage equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822106

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><mn>0.0</mn><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≤</mo><mn>0.15</mn><mo>,</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≥</mo><mn>0.75</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mn>6.67</mn><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><mn>1.0</mn><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mn>0.15</mn><mo>&lt;</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≤</mo><mn>0.3</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mn>1.0</mn><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mn>0.3</mn><mo>&lt;</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≤</mo><mn>0.55</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mn>3.75</mn><mo stretchy="false">−</mo><mn>5.0</mn><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mn>0.55</mn><mo>&lt;</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>&lt;</mo><mn>0.75</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "These piecewise equations define the growth-stage-dependent factor controlling nitrogen fixation. The factor represents the development and senescence of symbiotic nodules, suppressing fixation in early and late growth stages and allowing full fixation during mid-season. The formulation uses the heat unit index as a phenological proxy."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "phenological control of nitrogen fixation"@en

fixation soil nitrate equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822108

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>N</mi><mi>O</mi><mn>3</mn></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><mn>0.0</mn><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>W</mi><mi>N</mi><mi>O</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo>&gt;</mo><mn>300</mn><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>g</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>h</mi><mi>a</mi><mi>m</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mn>1.5</mn><mo stretchy="false">−</mo><mn>0.005</mn><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>W</mi><mi>N</mi><mi>O</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mn>100</mn><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>g</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>h</mi><mi>a</mi><mi>m</mi></mrow></mrow></mfrac></mrow><mo>&lt;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>W</mi><mi>N</mi><mi>O</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">≤</mo><mn>300</mn><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>g</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>h</mi><mi>a</mi><mi>m</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mn>1.0</mn><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>W</mi><mi>N</mi><mi>O</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">≤</mo><mn>100</mn><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>g</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>h</mi><mi>a</mi><mi>m</mi></mrow></mrow></mfrac></mrow></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "These equations describe inhibition of biological nitrogen fixation by mineral nitrate in the root zone. Fixation is fully allowed at low nitrate levels, partially reduced at intermediate nitrate concentrations, and completely suppressed when nitrate exceeds a threshold. The formulation reflects physiological feedback where external nitrate reduces symbiotic nitrogen fixation activity."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "nitrate control of nitrogen fixation"@en

fixation soil water equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822107

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>C</mi><mn>3</mn></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mi>W</mi><mn>3</mn></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>P</mi><mn>3</mn></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi>W</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><mi>W</mi><mi>P</mi><mn>3</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0.85</mn><mo stretchy="false">(</mo><mi>F</mi><mi>C</mi><mn>3</mn><mo stretchy="false">−</mo><mi>W</mi><mi>P</mi><mn>3</mn><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mi>S</mi><mi>W</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>&lt;</mo><mn>0.85</mn><mo stretchy="false">(</mo><mi>F</mi><mi>C</mi><mn>3</mn><mo stretchy="false">−</mo><mi>W</mi><mi>P</mi><mn>3</mn><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>W</mi><mi>P</mi><mn>3</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mn>1.0</mn><mspace width="1em"></mspace></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>if</mtext></mrow></mtd><mtd><mspace width="1em"></mspace><mi>S</mi><mi>W</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≥</mo><mn>0.85</mn><mo stretchy="false">(</mo><mi>F</mi><mi>C</mi><mn>3</mn><mo stretchy="false">−</mo><mi>W</mi><mi>P</mi><mn>3</mn><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>W</mi><mi>P</mi><mn>3</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation computes a soil water limitation factor for nitrogen fixation based on topsoil moisture relative to field capacity and wilting point. Fixation is reduced when soil moisture falls below a threshold fraction of available water capacity and is not limited when soil moisture exceeds this threshold. The formulation represents moisture stress effects on symbiotic activity."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "soil moisture control of nitrogen fixation"@en

fixed costsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673975

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q16897780 ep
description ap "fixed costs for something, independend of e.g. time, length,..."@en

Flory-Huggins equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820989

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>H</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>H</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap linear Flory-Huggins equation ni
named after ap Q6820990 ep
named after ap Q6820991 ep
description ap "Flory–Huggins adsorption isotherm"@en

Flory-Huggins equilibrium parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820985

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6820990 ep
named after ap Q6820991 ep
description ap "empirical model parameter used for ΔG° evaluation"@en

Flory-Huggins isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820981

belongs to
mathematical model c
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Description (long) ap "The Flory–Huggins isotherm is an empirical adsorption model adapted from polymer solution theory that describes how chemically similar molecules of different chain length occupy adsorbent sites. It uses a coverage degree defined from initial and equilibrium concentrations and explicitly accounts for an occupancy number that represents how many adsorbate units occupy a site. The model is used to assess adsorption feasibility and spontaneity via an equilibrium constant that can be related to a standard Gibbs free-energy expression. It is applied when adsorbate molecules are large or chain-like (e.g., polymers, large organics) and the adsorbate–adsorbent arrangement is approximately random."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Flory-Huggins model) ni
used by ap linear parameter estimation (Flory-Huggins model) ni
community ap Q6534265 ep
contains ap Flory-Huggins equation ni
described by source ap Q6775858 ep
described by source ap Q6821374 ep
named after ap Q6820990 ep
named after ap Q6820991 ep
description ap "adsorption model for multi-site occupancy and chain effects"@en

Flory-Huggins occupancy numberni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820986

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6820990 ep
named after ap Q6820991 ep
description ap "number of adsorbate units occupying a sorption site"@en

flow in porous mediani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684649

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Darcy model ni
description ap "flow of an incompressible fluid through a porous medium"@en

fluctuating parts of population density fractions approximately zeroni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775465

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>e</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>i</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>r</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>s</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>s</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≈</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>e</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≈</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>i</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≈</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>r</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≈</mo><mn>0</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "s̃₂, ẽ₂, ĩ₂, r̃₂ are assumed to to be approximately zero, since they become vanishingly small as D (Diffusion Coefficient) becomes large."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "fluctuating parts of population density fractions are approximately zero"@en

fluid dynamic viscosity (porous medium)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673913

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q15152757 ep
description ap "physical property of a moving fluid in a porous medium"@en

fluid intrinsic permeability (porous medium)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673787

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measure of the ability of a porous material to allow fluids to pass through it"@en

fluid mass densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673976

belongs to
quantity c
has facts
Wikidata QID ap "Q101961654"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measure of the mass per unit volume of a fluid"@en

fluid Poisson model: weak formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822206

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap fluid Poisson model: determine particle densities ni
community ap Q6534265 ep
contains ap Poisson's equation for the electric potential: weak formulation ni
contains ap continuity equation: weak formulation ni
contains ap continuity equation for electron energy: weak formulation ni
contains ap reaction kinetics model ni
named after ap Q6775559 ep
description ap "weak formulation of fluid Poisson model, including all relevant plasma species"@en

fluid pressure (free flow)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673893

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "force exerted by a fluid (either a liquid or a gas) per unit area at any point within it in free flow"@en

fluid pressure (porous medium)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673894

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "force exerted by a fluid (either a liquid or a gas) per unit area at any point within it in porous medium"@en

fluid velocity (free flow)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673788

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector field used to describe the motion of a fluid in a mathematical manner in free flow"@en

fluid velocity (porous medium)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673892

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector field used to describe the motion of a fluid in a mathematical manner in porous medium"@en

fluxni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775419

belongs to
quantity kind c
has facts
described at URL ap Flux ep
Wikidata QID ap "Q6485344"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Flux"@en
specialized by ap particle fluence rate ni
specialized by ap flux of electrons ni
specialized by ap flux of holes ni
description ap "measure of the flow of something through a surface, in some cases per surface area"@en

flux of electronsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673946

belongs to
quantity c
has facts
Description (long) ap "For use in semiconductor physics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap electric current density ni
similar to ap flux of holes ni
description ap "flow of electrons, e.g., in an electric device"@en

flux of holesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673947

belongs to
quantity c
has facts
Description (long) ap "For use in semiconductor physics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap electric current density ni
similar to ap flux of electrons ni
description ap "flow of holes, e.g., in an electric device"@en

Fokker Planck modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675384

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap balanced truncation (bi-linear) ni
used by ap H2 optimal approximation (bi-linear) ni
used by ap classical time evolution ni
community ap Q6534265 ep
contains ap Fokker-Planck equation ni
specialized by ap diffusion model ni
related URL ap Q891766 ep
named after ap Q1832296 ep
named after ap Q561715 ep
description ap "dynamics of a probability density of the velocity of a particle under the influence of drag forces and random forces"@en

Fokker-Planck equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674263

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>p</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mo stretchy="false">(</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>u</mi><mo stretchy="false">)</mo><mi>p</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>D</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>p</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>"@en
described at URL ap Fokker% E2%80%93 Planck equation ep
Wikidata QID ap "Q891766"@en
Description (long) ap "For vanishing drift and for constant diffusion, the Fokker Planck equation yield's Fick's first law of diffusion."@en
Description (long) ap "Note the external forcing which connects the FPE to the model order reduction and/or optimal control tasks."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Fick equation ni
specialized by ap evolution of the concentration of particles PDE ni
named after ap Q1832296 ep
named after ap Q561715 ep
description ap "partial differential equation describing the dynamics of a probability density of the velocity of a particle under the influence of drag forces and random forces"@en

forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673704

belongs to
quantity kind c
has facts
described at URL ap Force ep
Wikidata QID ap "Q11402"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Force"@en
specialized by ap maximum isometric muscle force ni
specialized by ap interaction force ni
specialized by ap force acting on a particle ni
specialized by ap force density ni
specialized by ap body force ni
image ap Force%20examples.svg ep
description ap "physical influence that tends to cause an object to change motion unless opposed by other forces"@en

force acting on a particleni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673862

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector quantity that describes the ability of an action to modify the movement and shape of an object"@en

force constant (anharmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673744

belongs to
quantity c
has facts
Description (long) ap "Cubic, quartic, ... anharmonic force constants are the coefficients of the third, fourth, ... order term in a Taylor expansion of the potential energy wrt displacements from a minimum energy configuration."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap spring constant ni
related URL ap Anharmonicity ep
related URL ap Q545228 ep
description ap "coefficients of the nth (n>=3) order term in a Taylor expansion of the potential energy wrt displacements from a minimum energy configuration"@en

force densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673980

belongs to
quantity c
has facts
described at URL ap Force density ep
Wikidata QID ap "Q4117184"@en
Description (long) ap "It has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap external force density ni
specialized by ap surface force density ni
similar to ap body force ni
description ap "in fluid mechanics, negative gradient of pressure"@en

Fourier's law of heat conductionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674358

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>γ</mi><mi mathvariant="normal">∇</mi><mi>T</mi></mstyle></mrow></math>"@en
Wikidata QID ap "Q12016821"@en
Description (long) ap "Assuming that the local heat flux is equal to the product of thermal conductivity and the negative local temperature gradient."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Heat equation ep
named after ap Q1532609 ep
description ap "differential form of Fourier's law of thermal conduction"@en

Fowler-Guggenheim equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820968

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>G</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>G</mi></mrow></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi></mrow></mrow></mfrac></mrow><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>θ</mi><mi>W</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap linear Fowler-Guggenheim equation ni
specialized by ap Langmuir equation ni
named after ap Q2595344 ep
named after ap Q561111 ep
description ap "adsorption isotherm including lateral interaction effects"@en

Fowler-Guggenheim equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820965

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q2595344 ep
named after ap Q561111 ep
description ap "adsorption equilibrium parameter including interaction effects"@en

Fowler-Guggenheim isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820962

belongs to
mathematical model c
has facts
Description (long) ap "The Fowler–Guggenheim isotherm model is an adsorption model that incorporates lateral interactions between adsorbed molecules. Unlike Langmuir’s assumption of independent adsorption sites, this model allows the heat of adsorption to vary with surface coverage. Attractive interactions raise adsorption energy with increasing coverage, while repulsive interactions cause the opposite trend. The model provides a more realistic description for adsorbates that influence each other after adsorption. It is commonly applied in surface chemistry and environmental adsorption analysis, including chemical wastewater treatment."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Fowler-Guggenheim isotherm model) ni
used by ap linear parameter estimation (Fowler-Guggenheim isotherm model) ni
community ap Q6534265 ep
contains ap Fowler-Guggenheim equation ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
named after ap Q2595344 ep
named after ap Q561111 ep
description ap "mathematical model for adsorption with lateral interactions"@en

fraction of population density of exposedni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673981

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of exposed Individuals"@en

fraction of population density of exposed formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674453

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>~</mo></mover></mrow></munderover><msubsup><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msubsup><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation describing the fraction of population density of exposed individuals"@en

fraction of population density of exposed in the ODE regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775345

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of exposed Individuals in the ODE region Ω_2 of the domain Ω"@en

fraction of population density of exposed in the ODE region (fluctuating part)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775355

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fluctuating part of the fraction of population density of exposed in the ODE region"@en

fraction of population density of exposed in the ODE region (mean)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775356

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mean of the fraction of population density of exposed in the ODE region"@en

fraction of population density of exposed in the PDE regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775346

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of the population density of exposed individuals in the PDE region Ω₁"@en

fraction of population density of infectiousni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673983

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of Infectious Individuals"@en

fraction of population density of infectious formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674454

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>~</mo></mover></mrow></munderover><msubsup><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msubsup><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation describing the fraction of population density of infectious individuals"@en

fraction of population density of infectious in the ODE regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775347

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of infectious Individuals in the ODE region Ω₂ of the domain Ω"@en

fraction of population density of infectious in the ODE region (fluctuating part)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775357

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fluctuating part of the fraction of population density of infectious in the ODE region"@en

fraction of population density of infectious in the ODE region (mean)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775358

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mean of the fraction of population density of Infectious in the ODE region"@en

fraction of population density of infectious in the PDE regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775348

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of infectious Individuals in the PDE region Ω₁"@en

fraction of population density of removedni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673984

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of removed Individuals"@en

fraction of population density of removed in the ODE regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775349

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "Fraction of population density of removed Individuals in the ODE region Ω₂ of the domain Ω"@en

fraction of population density of removed in the ODE region (fluctuating part)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775359

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fluctuating part of the fraction of population density of removed in the ODE region"@en

fraction of population density of removed in the ODE region (mean)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775360

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mean of the fraction of population density of removed in the ODE region"@en

fraction of population density of removed in the PDE regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775350

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of removed Individuals in the PDE region Ω₁"@en

fraction of population density of susceptiblesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673985

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of susceptible Individuals"@en

fraction of population density of susceptibles formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674455

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>~</mo></mover></mrow></munderover><msubsup><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msubsup><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation describing the fraction of population density of susceptible individuals"@en

fraction of population density of susceptibles in the ODE regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775351

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of susceptible Individuals in the ODE region Ω₂ of the domain Ω"@en

fraction of population density of susceptibles in the ODE region (fluctuating part)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775361

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fluctuating part of the fraction of population density of susceptibles in the ODE region"@en

fraction of population density of susceptibles in the ODE region (mean)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775362

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mean of the fraction of population density of susceptibles in the ODE region"@en

fraction of population density of susceptibles in the PDE regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775352

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of population density of susceptible Individuals in the PDE region Ω₁"@en

fractional occupancyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775857

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of binding sites occupied at equilibrium"@en

fractional surface coverageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775824

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of adsorbent surface covered by adsorbate"@en

free energy densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673841

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Helmholtz free energy ep
related URL ap Q865821 ep
description ap "measure of the increase in the Helmholtz free energy per unit volume due to distortions"@en

free fallni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775568

belongs to
mathematical model c
has facts
described at URL ap Free fall ep
Wikidata QID ap "Q140028"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
specialized by ap free fall model (vacuum) ni
specialized by ap free fall model (air drag) ni
specialized by ap free fall model (non-uniform gravitation) ni
description ap "motion of a body where its weight is the only force acting upon it"@en

free fall determine gravitationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684566

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap free fall impact time ni
contains ap free fall initial height ni
contains ap free fall initial velocity ni
contains ap gravitational acceleration ni
contains ap free fall point ni
contains ap free fall initial point ni
contains ap free fall equation (vacuum, phase space) ni
contains ap free fall equation (vacuum, right-hand side) ni
contains ap free fall equation (air drag, phase space) ni
contains ap free fall equation (air drag, right-hand side) ni
corresponds to ap Q6825527 ep
description ap "given the time that it takes for an object to freely fall from a certain height to the ground, what is the magnitude of the gravitational acceleration"@en

free fall equation (air drag)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674363

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mover><mi>x</mi><mo>˙</mo></mover></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>v</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mover><mi>v</mi><mo>˙</mo></mover></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">−</mo><mi>g</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mi>ρ</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mi>A</mi><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap uniform gravitational acceleration ni
specialized by ap free fall equation (vacuum) ni
related URL ap Free fall ep
related URL ap Q38083707 ep
similar to ap free fall equation (air drag, phase space) ni
description ap "modeling the fall of point-like objects by the laws of classical mechanics, including aerodynamic drag and assuming a uniform gravitational field"@en

free fall equation (air drag, phase space)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775796

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>y</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>f</mi><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap uniform gravitational acceleration ni
similar to ap free fall equation (air drag) ni
description ap "modeling the fall of point-like objects, including aerodynamic drag, in phase-space formulation"@en

free fall equation (air drag, right-hand side)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775797

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">≡</mo><mo stretchy="false">(</mo><mi>v</mi><mo>,</mo><mo stretchy="false">−</mo><mi>g</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mi>ρ</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mi>A</mi><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "right-hand side of free fall (air drag) ODEs in phase-space formulation"@en

free fall equation (vacuum)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674365

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mover><mi>x</mi><mo>˙</mo></mover></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>v</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mover><mi>v</mi><mo>˙</mo></mover></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">−</mo><mi>g</mi></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "Moreover, assuming the falling object to be a point mass."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap vanishing air density ni
assumes ap vanishing drag coefficient ni
related URL ap Free fall ep
related URL ap Q38083707 ep
similar to ap free fall equation (vacuum, phase space) ni
description ap "modeling the fall of point-like objects by the laws of classical mechanics, neglecting aerodynamic drag and assuming a uniform gravitational field"@en

free fall equation (vacuum, phase space)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775793

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>y</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>f</mi><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap vanishing air density ni
assumes ap vanishing drag coefficient ni
similar to ap free fall equation (vacuum) ni
description ap "modeling the fall of point-like objects by the laws of classical mechanics, in phase-space formulation"@en

free fall equation (vacuum, right-hand side)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775795

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">≡</mo><mo stretchy="false">(</mo><mi>v</mi><mo>,</mo><mo stretchy="false">−</mo><mi>g</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "right-hand side of free fall (vacuum) ODEs in phase-space formulation"@en

free fall heightni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673991

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap free fall initial height ni
related URL ap Free fall ep
related URL ap Q140028 ep
related URL ap Q38083707 ep
similar to ap free fall point ni
description ap "height of an object as it falls freely"@en

free fall impact timeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673986

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Free fall time ep
related URL ap Q5499609 ep
description ap "time that it takes for an object to freely fall from a certain height to the ground"@en

free fall impact velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673990

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "velocity with which a freely falling object hits the ground"@en

free fall initial conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674368

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>v</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap free fall initial condition (phase space) ni
description ap "initial height and velocity of an object before it falls through a fluid or a gas"@en

free fall initial condition (phase space)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775791

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap free fall initial condition ni
description ap "initial condition for a point in phase space (height, velocity) describing free fall"@en

free fall initial heightni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673987

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Free fall ep
similar to ap free fall initial point ni
description ap "initial height of an object as it starts falling through a fluid or a gas"@en

free fall initial pointni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775790

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">≡</mo><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>,</mo><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap free fall initial height ni
similar to ap free fall initial velocity ni
description ap "initial point in phase space (height, velocity) describing free fall initial condition"@en

free fall initial velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673988

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Free fall ep
similar to ap free fall initial point ni
description ap "initial velocity of an object as it starts falling through a fluid or a gas"@en

free fall massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673992

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mass of a (freely) falling object"@en

free fall model (air drag)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675406

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap free fall determine time ni
used by ap free fall determine velocity ni
community ap Q6534265 ep
contains ap free fall equation (air drag) ni
contains ap free fall initial condition ni
contains ap free fall solution (air drag) ni
assumes ap uniform gravitational acceleration ni
specialized by ap free fall model (vacuum) ni
related URL ap Free fall ep
related URL ap Q140028 ep
description ap "mathematical model for the fall of objects, including the aerodynamic drag and assuming a uniform gravitational field"@en

free fall model (non-uniform gravitation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675407

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap free fall solution (non-uniform gravitation) ni
contains ap free fall initial condition ni
specialized by ap free fall model (air drag) ni
related URL ap Free fall ep
related URL ap Q140028 ep
description ap "mathematical model for the fall of objects, including the aerodynamic drag and allowing for a non-uniform gravitational field"@en

free fall model (vacuum)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675405

belongs to
mathematical model c
has facts
Description (long) ap "A free fall is any motion of a body where gravity is the only force acting upon it. Hence, we are neglecting the aerodynamic drag (vanishing drag coefficient and/or density of air) and assuming a uniform gravitational field."@en
MaRDI profile type ap Q6534270 ep
used by ap free fall determine gravitation ni
used by ap free fall determine time ni
used by ap free fall determine velocity ni
community ap Q6534265 ep
contains ap free fall equation (vacuum) ni
contains ap free fall initial condition ni
contains ap free fall solution (vacuum) ni
assumes ap vanishing air density ni
assumes ap vanishing drag coefficient ni
related URL ap Free fall ep
related URL ap Q140028 ep
described by source ap Q3528265 ep
described by source ap Q6672290 ep
description ap "mathematical model for the fall of objects, neglecting aerodynamic drag and assuming a uniform gravitational field"@en

free fall pointni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775789

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">≡</mo><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>v</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap free fall height ni
similar to ap free fall velocity ni
description ap "point in phase space (height, velocity) describing free fall"@en

free fall solution (air drag)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775745

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>t</mi><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>v</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></mfrac></mrow><mi>ln</mi><mo>&#x2061;</mo><mi>cosh</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>v</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msub><mi>tanh</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap uniform gravitational acceleration ni
related URL ap Free fall ep
related URL ap Q38083707 ep
solution to ap free fall model (air drag) ni
description ap "analytical solution to the free fall equation, including aerodynamic drag and assuming a uniform gravitational field"@en

free fall solution (non-uniform gravitation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674364

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">f</mi><mi mathvariant="normal">f</mi></mrow></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>Q</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">f</mi><mi mathvariant="normal">f</mi></mrow></mrow></mrow></msub></mrow></mfrac></mrow><mo>;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "Moreover, assuming the falling object to be a point mass."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap free fall equation (air drag) ni
related URL ap Free fall ep
related URL ap Q38083707 ep
description ap "modeling the fall of objects by the laws of classical mechanics, neglecting aerodynamic drag but allowing for a non-uniform gravitational field"@en

free fall solution (vacuum)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775754

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>t</mi><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>g</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>v</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">−</mo><mi>g</mi><mi>t</mi></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap vanishing air density ni
assumes ap vanishing drag coefficient ni
related URL ap Free fall ep
related URL ap Q38083707 ep
solution to ap free fall model (vacuum) ni
description ap "analytical solution to the free fall equation, neglecting aerodynamic drag and assuming a uniform gravitational field"@en

free fall terminal velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673993

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi><mi>g</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ρ</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mi>A</mi></mrow></mrow></mfrac></mrow></msqrt></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Terminal velocity ep
related URL ap Q614981 ep
description ap "highest velocity attainable by an object as it falls through a fluid or a gas"@en

free fall timeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673995

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>G</mi><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">+</mo><mi>M</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></msqrt></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msqrt></mrow><mo stretchy="false">+</mo><mi>arccos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow></msqrt></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
described at URL ap Free fall time ep
Wikidata QID ap "Q5499609"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap free fall impact time ni
description ap "characteristic time that would take a body to collapse under its own gravitational attraction, if no other forces existed to oppose the collapse"@en

free fall velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673994

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap free fall initial velocity ni
specialized by ap free fall terminal velocity ni
related URL ap Free fall ep
related URL ap Q140028 ep
related URL ap Q38083707 ep
similar to ap free fall point ni
description ap "velocity attained by an object as it falls freely"@en

free flow coupled to porous media flowni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684650

belongs to
research problem c
has facts
Description (long) ap "Systems where free flow interacts with permeable media are important in many areas. Examples include soil water evaporation in environmental science, exchange between blood vessels in medicine or water management in fuel cells. To understand these processes, it is necessary to capture the interaction between the two flow regions. In this specific case we consider a stationary, single-phase flow where creeping Stokes flow describes the free-flow region and Darcy’s law governs the porous medium."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Stokes Darcy model ni
local image ap File: Free Flow Porous Domain.png ep
described by source ap Q6376356 ep
description ap "coupled systems of free flow of an incompressible fluid adjacent to permeable media"@en

free flow of an incompressible fluidni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684651

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Stokes model ni
specialized by ap Taylor–Couette flow ni
description ap "free flow of an incompressible fluid (e.g. gas or liquid)"@en

frequencyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673720

belongs to
quantity kind c
has facts
described at URL ap Frequency ep
Wikidata QID ap "Q11652"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Frequency"@en
specialized by ap vibration frequency (harmonic) ni
specialized by ap neural firing rate ni
specialized by ap resonance frequency ni
specialized by ap minimum frequency of line ni
specialized by ap maximum frequency of line ni
specialized by ap frequency of line ni
video ap % E0% B8% A5% E0% B8% B9% E0% B8%81% E0% B8%95% E0% B8% B8% E0% B9%89% E0% B8% A1% E0% B8%98% E0% B8% A3% E0% B8% A3% E0% B8% A1% E0% B8%8 A% E0% B8% B2% E0% B8%95% E0% B8% B4.gif ep
description ap "number of occurrences or cycles per time"@en

frequency of lineni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823144

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap minimum frequency of line ni
specialized by ap maximum frequency of line ni
description ap "frequency of a line in public transport in a fixed time slot"@en

Freundlich adsorption capacity constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775717

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q74555 ep
description ap "empirical constant representing the adsorption capacity of the adsorbent in the Freundlich isotherm model"@en

Freundlich adsorption intensity constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775718

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q74555 ep
description ap "empirical constant indicating the adsorption intensity and surface heterogeneity in the Freundlich isotherm model"@en

Freundlich equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775720

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></mfrac></mrow></mrow></msubsup></mstyle></mrow></math>"@en
Wikidata QID ap "Q1924292"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap Freundlich equation (linearized) ni
named after ap Q74555 ep
description ap "Empirical adsorption isotherm"@en

Freundlich equation (linearized)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775719

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>log</mi><mo>&#x2061;</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo stretchy="false">=</mo><mi>log</mi><mo>&#x2061;</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></mfrac></mrow><mi>log</mi><mo>&#x2061;</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q74555 ep
description ap "linearized empirical adsorption isotherm"@en

Freundlich isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775713

belongs to
mathematical model c
has facts
Description (long) ap "The Freundlich isotherm model is an empirical adsorption model that describes how solutes adhere to heterogeneous surfaces with varying affinities. It accounts for multilayer adsorption rather than a single uniform layer. The model is widely applied in environmental and chemical engineering to study pollutant adsorption on materials such as activated carbon, soil, and biochar."@en
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (Freundlich isotherm) ni
community ap Q6534265 ep
contains ap Freundlich equation ni
described by source ap Q6775678 ep
described by source ap Q6775858 ep
described by source ap Q6821318 ep
described by source ap Q6821319 ep
described by source ap Q6821336 ep
described by source ap Q6821337 ep
described by source ap Q6821374 ep
described by source ap Q6821604 ep
described by source ap Q6821611 ep
described by source ap Q6821613 ep
described by source ap Q6822053 ep
described by source ap Q6822054 ep
described by source ap Q6822055 ep
named after ap Q74555 ep
description ap "mathematical model for equilibrium adsorption of solutes on heterogeneous surfaces"@en

Fritz-Schlunder 3-parameter equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821185

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>S</mi></mrow></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>S</mi></mrow></mrow></msub></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "three-parameter empirical adsorption equation"@en

Fritz-Schlunder 3-parameter isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821184

belongs to
mathematical model c
has facts
Description (long) ap "The Fritz–Schlunder 3-parameter isotherm model is an empirical adsorption model designed to flexibly fit equilibrium data over a broad concentration range. It extends the Langmuir formulation by introducing an additional exponent describing surface heterogeneity. The model is frequently used when simpler isotherms such as Langmuir or Freundlich provide poor agreement with experimental data. It is suitable for both homogeneous and heterogeneous adsorption systems. The model does not rely on a specific adsorption mechanism and is primarily used for data correlation."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Fritz-Schlunder 3-parameter model) ni
community ap Q6534265 ep
contains ap Fritz-Schlunder 3-parameter equation ni
described by source ap Q6775858 ep
described by source ap Q6821201 ep
description ap "three-parameter empirical adsorption isotherm"@en

Fritz-Schlunder 4-parameter equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821188

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mi>B</mi><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Fritz-Schlunder exponents constraint ni
specialized by ap Freundlich equation ni
specialized by ap Langmuir equation ni
description ap "four-parameter empirical adsorption equation"@en

Fritz-Schlunder 4-parameter isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821187

belongs to
mathematical model c
has facts
Description (long) ap "The Fritz-Schlunder 4-parameter isotherm model is an empirical equation providing high flexibility for modeling adsorption on heterogeneous surfaces. It introduces two independent exponents and two affinity parameters, enabling extremely close fits to non-ideal adsorption data over wide concentration ranges. Because of its general form, the model does not assume monolayer behavior and imposes no strict physical interpretation on its parameters. It is especially useful when typical three-parameter models fail to capture complex curvature in experimental isotherms. Applications include chemical wastewater treatment, dye removal, heavy metals removal, and adsorption process design."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Fritz-Schlunder 4-parameter model) ni
community ap Q6534265 ep
contains ap Fritz-Schlunder 4-parameter equation ni
contains ap Fritz-Schlunder exponents constraint ni
specialized by ap Freundlich isotherm model ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821201 ep
description ap "flexible four-parameter empirical adsorption isotherm"@en

Fritz-Schlunder 5-parameter equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821193

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mi>A</mi><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mi>B</mi><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Fritz-Schlunder exponents constraint ni
description ap "five-parameter empirical adsorption equation"@en

Fritz-Schlunder 5-parameter isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821192

belongs to
mathematical model c
has facts
Description (long) ap "The Fritz-Schlunder 5-parameter isotherm model is the most flexible member of the Fritz-Schlunder family, designed to accurately represent highly curved or complex adsorption isotherms. By combining a saturation capacity, two affinity constants, and two exponents, the model can match a wide range of heterogeneous adsorption behaviors, including systems where multilayer formation or strong site-energy diversity is present. It is fully empirical and places no mechanistic restrictions on surface behavior. It is primarily used in cases where simpler models show poor agreement with experimental data, such as in wastewater treatment adsorption studies involving highly heterogeneous adsorbents."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Fritz-Schlunder 5-parameter model) ni
community ap Q6534265 ep
contains ap Fritz-Schlunder exponents constraint ni
contains ap Fritz-Schlunder 5-parameter equation ni
described by source ap Q6775858 ep
described by source ap Q6821201 ep
description ap "high-flexibility five-parameter adsorption isotherm model"@en

Fritz-Schlunder constant Ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821197

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "empirical numerator constant"@en

Fritz-Schlunder constant Bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821198

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "empirical denominator constant"@en

Fritz-Schlunder equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821195

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "empirical adsorption affinity constant"@en

Fritz-Schlunder exponent ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821199

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "numerator exponent"@en

Fritz-Schlunder exponent bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821200

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "denominator exponent"@en

Fritz-Schlunder exponents assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821191

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>a</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mn>1</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>b</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mn>1</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for Fritz-Schlunder exponents"@en

Fritz-Schlunder exponents constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821189

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn><mo stretchy="false">≤</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for Fritz-Schlunder exponents"@en

Fritz-Schlunder model exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821196

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exponent of Fritz-Schlunder model"@en

Frumkin adsorption equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821331

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>F</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>F</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>f</mi><mi>θ</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Langmuir equation ni
description ap "monolayer adsorption equation including lateral interactions"@en

Frumkin equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821329

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption affinity constant in Frumkin model"@en

Frumkin interaction parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821330

belongs to
quantity c
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MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter quantifying lateral adsorbate interactions"@en

Frumkin isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821334

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mathematical model c
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Description (long) ap "The Frumkin isotherm model is an adsorption model that extends the Langmuir framework by explicitly accounting for lateral interactions between adsorbed molecules. It assumes monolayer adsorption on a surface with energetically equivalent sites while allowing attractive or repulsive interactions among neighboring adsorbates. The strength and sign of these interactions influence the shape of the adsorption isotherm and the variation of adsorption energy with surface coverage. In the absence of lateral interactions, the Frumkin model reduces to the Langmuir isotherm. The model is closely related to the Fowler–Guggenheim isotherm and is widely applied in solution-phase adsorption studies, including chemical wastewater treatment."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Frumkin model) ni
community ap Q6534265 ep
contains ap Frumkin adsorption equation ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821332 ep
description ap "adsorption isotherm with lateral adsorbate interactions"@en

G-proteinni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774843

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "G-protein as a species of molecules"@en

G-protein activationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773493

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>11</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>11</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>D</mi><mi>P</mi></mrow></mrow></msub><mi>β</mi><mi>γ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>11</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>11</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mrow data-mjx-texclass="ORD"><mtext>GDP</mtext></mrow><mi>β</mi><mi>γ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "The constitutive G-protein activation, where we simply use R2 without ligand. That is, we model the constitutive binding reaction as a net reaction consisting of first the switching of GTP and GDP, followed by the dissociation of the βγ-subunit from the GPCR complex."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "reaction describing the constitutive G-protein activation"@en

Gamma-Gompertz-Makeham modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675410

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mathematical model c
has facts
Description (long) ap "We assume that death counts at age x are Poisson-distributed and the underlying population level hazard function follows a Gamma-Gompertz-Makeham model."@en
MaRDI profile type ap Q6534270 ep
used by ap maximizing Poisson log-likelihood ni
community ap Q6534265 ep
contains ap Gamma-Gompertz–Makeham law ni
contains ap Poisson log-likelihood ni
contains ap Poisson-distributed deaths ni
related URL ap Gompertz% E2%80%93 Makeham law of mortality ep
related URL ap Q2734378 ep
named after ap Q6775521 ep
named after ap Q6775522 ep
description ap "mathematical model for the mortality based on a Gamma-Gompertz-Makeham law"@en

Gamma-Gompertz–Makeham lawni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674370

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>b</mi><mi>x</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mi>γ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></mfrac></mrow><mo stretchy="false">(</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>b</mi><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>c</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6672293 ep
named after ap Q6775521 ep
named after ap Q6775522 ep
description ap "mathematical expression for the mortality based on a Gamma-Gompertz-Makeham law"@en

gas separationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822203

belongs to
research problem c
has facts
Wikidata QID ap "Q17050218"@en
Description (long) ap "Gas separation is the process of selectively isolating one or more components from a gas mixture. It encompasses a variety of techniques, including adsorption, membranes, cryogenic distillation, and pressure or temperature swing methods. Research in this area focuses on developing efficient, selective, and scalable separation processes for industrial and environmental applications. Typical goals include purifying products, recovering valuable gases, or removing pollutants from gas streams. Advances in materials, process design, and modeling are key to improving the efficiency and sustainability of gas separation technologies."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap gas separation (adsorption) ni
description ap "technique to provide multiple products or purify a product"@en

gas separation (adsorption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822199

belongs to
research problem c
has facts
Description (long) ap "Gas separation using adsorption is a process in which specific gas components are selectively adsorbed onto solid surfaces. The equilibrium between the adsorbed phase and the gas phase can often be described by the Langmuir adsorption isotherm. Research includes studying adsorbent materials, optimizing operating conditions, and evaluating separation efficiency and selectivity. This process is applied in industrial contexts such as carbon dioxide capture, air purification, and hydrogen recovery. Understanding adsorption thermodynamics and kinetics is essential for designing efficient gas separation systems."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Langmuir isotherm model ni
description ap "selective adsorption of gas components onto solid surfaces for separation"@en

Gauss's lawni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674372

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mi>E</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Gauss%27s law ep
Wikidata QID ap "Q173356"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Laplace equation for the electric potential ni
specialized by ap Poisson's equation for the electric potential (semiconductors) ni
named after ap Q6480411 ep
description ap "foundational law of electromagnetism stating that electric charges are the "sources" (divergence) of electric fields"@en

Gauss's law for magnetismni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674373

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mi>B</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
described at URL ap Gauss%27s law for magnetism ep
Wikidata QID ap "Q1195250"@en
Description (long) ap "Equivalently, magnetic monopoles do not exist."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480411 ep
description ap "foundational law of electromagnetism stating that the magnetic field B has divergence equal to zero"@en

Gaussian noiseni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675393

belongs to
mathematical model c
has facts
described at URL ap Gaussian noise ep
Wikidata QID ap "Q2725903"@en
Description (long) ap "A typical model of image noise is Gaussian, additive, independent at each pixel, and independent of the signal intensity, caused primarily by Johnson–Nyquist noise (thermal noise), including that which comes from the reset noise of capacitors ("kTC noise")."@en
MaRDI profile type ap Q6534270 ep
used by ap denoising for improved parametric MRI of the kidney ni
community ap Q6534265 ep
contains ap normal distribution equation ni
related URL ap Image noise ep
named after ap Q6480411 ep
description ap "signal noise that has a probability density function equal to that of the normal distribution"@en

Gaussian processni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775372

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi data-mjx-texclass="OP" mathvariant="normal">E</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∀</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy="false">…</mo><mo>,</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mo stretchy="false">:</mo><mi data-mjx-texclass="OP" mathvariant="normal">E</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">:=</mo><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>j</mi></mrow></mrow></munder><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
described at URL ap Gaussian process ep
Wikidata QID ap "Q1496376"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6480411 ep
description ap "stochastic process such that every finite collection of random variables has a multivariate normal distribution"@en

Gaussian-process regression modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775758

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
related URL ap Kriging ep
related URL ap Q225926 ep
named after ap Q6480411 ep
description ap "Gaussian process model used for regression"@en

generalized compartment based morphogen gradient modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775434

belongs to
mathematical model c
has facts
Description (long) ap "Assuming that molecules of species A diffuse significantly faster than those of species B, a larger compartment size for A is chosen."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap generalized Poisson distribution ni
contains ap generalized compartment reaction ni
contains ap generalized steady state equations ni
contains ap multi grid reaction diffusion master equation ni
contains ap product of Poisson distributions from the mgRDME ni
contains ap stationary multi grid reaction diffusion master equation ni
contains ap stationary reaction-diffusion master equation ni
assumes ap a produced in first compartment ni
assumes ap reaction diffusion system ni
described by source ap Q6655096 ep
description ap "generalized compartment-based model for morphogen gradient modelling"@en

generalized compartment reactionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775470

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mover><mstyle scriptlevel="0"><mo data-mjx-texclass="REL">→</mo></mstyle><mpadded height="-.2em" lspace="0.278em" voffset="-.2em" width="+0.833em"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo lspace="0" rspace="0">/</mo><mi>γ</mi></mrow><mspace depth=".25em"></mspace></mpadded></mover><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><mspace width="1em"></mspace><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo stretchy="false">…</mo><mo>,</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "i denotes the compartment index."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "generalized reactions for each compartment of the compartment-based morphogen gradient models"@en

generalized diffusion operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775373

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
contains ap operators O i minus ni
contains ap operators O i plus ni
specialized by ap diffusion operator ni
description ap "generalized version of the diffusion operator"@en

generalized Poisson distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775468

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>A</mi><mo>¯</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>B</mi><mo>¯</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mrow></munderover><msub><mover><mi>A</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mrow></munderover><msub><mover><mi>B</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><munderover><mo movablelimits="false" stretchy="false">∏</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mover><mi>A</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∏</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mover><mi>B</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775559 ep
description ap "obtained by solving the stationary mgRDME for the generalized compartment based model"@en

generalized reaction operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775376

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mo stretchy="false" mathvariant="double-struck">(</mo></mrow><mi>n</mi><mo stretchy="false">)</mo><mo>,</mo><mrow data-mjx-texclass="ORD"><mo stretchy="false" mathvariant="double-struck">(</mo></mrow><mi>m</mi><mo stretchy="false">)</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">+</mo></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo>~</mo></mover></mrow></mrow><mi>f</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">:</mo><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mi>f</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>γ</mi></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mrow></munderover></mstyle><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">(</mo><mi>j</mi><mo stretchy="false">)</mo></mrow></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">+</mo></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mrow></munderover></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">+</mo></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo stretchy="false">.</mo></mtd></mtr></mtable></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap reaction operator ni
description ap "generalized version of the reaction operator"@en

generalized steady state equationsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775471

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>‾</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>‾</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msubsup><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow></mfrac></mrow><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>𝐀</mi></mrow><mo>‾</mo></mover></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mi>𝐞</mi></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mspace width="1em"></mspace><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msubsup><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow></mfrac></mrow><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow><mo>‾</mo></mover></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>γ</mi></mrow></mfrac></mrow><mi>M</mi><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>𝐀</mi></mrow><mo>‾</mo></mover></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "steady state equations satisfied by average number of molecules of A and B in the Generalized Morphogen Gradient Model"@en

geostatisticsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775794

belongs to
academic discipline c
has facts
described at URL ap Geostatistics ep
Wikidata QID ap "Q1440020"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap spatial prediction ni
description ap "branch of statistics focusing on spatial data sets"@en

global stochastic processni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6842071

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "globally defined stochastic process"@en

Gompertz distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674374

belongs to
formula c
has facts
described at URL ap Gompertz distribution ep
Wikidata QID ap "Q1011784"@en
Description (long) ap "Often applied to describe the distribution of adult lifespans by demographers."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Gompertz–Makeham law of mortality ni
named after ap Q6775521 ep
description ap "in probability and statistics, the Gompertz distribution is a continuous probability distribution"@en

Gompertz–Makeham law of mortalityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674371

belongs to
formula c
has facts
described at URL ap Gompertz% E2%80%93 Makeham law of mortality ep
Wikidata QID ap "Q2734378"@en
Description (long) ap "Note that the age-dependent component increases exponentially with age."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Gamma-Gompertz–Makeham law ni
named after ap Q6775521 ep
named after ap Q6775522 ep
description ap "mathematical equation describing the human death rate as a sum of an age-dependent component, and an age-independent component"@en

good rooting environment assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821592

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>C</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>C</mi><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for soil condition"@en

governing equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7270342

belongs to
formula c
has facts
described at URL ap Governing equation ep
Wikidata QID ap "Q3730895"@en
Description (long) ap "The governing equations of a mathematical model describe how the values of the unknown variables (i.e. the dependent variables) change when one or more of the known (i.e. independent) variables change."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equations describing behavior of a model"@en

Gramian matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674006

belongs to
quantity c
has facts
described at URL ap Gram matrix ep
Wikidata QID ap "Q1409400"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap controllability Gramian ni
specialized by ap observability Gramian ni
specialized by ap controllability Gramian (generalized) ni
specialized by ap observability Gramian (generalized) ni
named after ap Q1453354 ep
description ap "matrix of inner products of a set of vectors"@en

graph type identifierni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674021

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><mn>1</mn></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>graph directed</mtext></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mn>2</mn></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mtext>graph undirected</mtext></mrow></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "variable identifying a graph as directed (value=1) or undirected (value=2)"@en

gravitational accelerationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673989

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quantity c
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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>g</mi><mo>→</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>M</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>→</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q30006"@en
Description (long) ap "At a fixed point on the surface of Earth, the gravity results from the combined effect of gravitation and the centrifugal force from Earth's rotation. At different points on Earth's surface, the free fall acceleration ranges from 9.764 to 9.834 m/s2."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "AccelerationOfGravity"@en
related URL ap Gravitational acceleration ep
description ap "acceleration of an object in free fall near the surface of planet Earth"@en

gravitational constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673997

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quantity c
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described at URL ap Gravitational constant ep
Wikidata QID ap "Q18373"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT constant ID ap "GravitationalConstant"@en
zbMATH conecept ID ap "gravitational constant"@en
description ap "physical constant relating the gravitational force between objects to their mass and distance"@en

gravitational effects on fruitni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684656

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap free fall model (vacuum) ni
modelled by ap free fall model (air drag) ni
modelled by ap free fall model (non-uniform gravitation) ni
image ap Newton%27s apple.jpg ep
description ap "studying how fruits are falling from trees, which supposedly inspired Newton's law of gravitation"@en

Gröbner basisni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673970

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quantity c
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described at URL ap Gr% C3% B6bner basis ep
Wikidata QID ap "Q1551631"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q770936 ep
description ap "particular generating subset of an ideal in a polynomial ring"@en

H2 optimal approximationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684569

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Description (long) ap "This approach is based on the interpolation of the Volterra series representation of the system's transfer function and gives a local H2-optimal approximation, because the interpolation is chosen so that the system satisfies the necessary H2-optimality conditions upon convergence of the algorithm. Note that H2 stands for Hardy space."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap Sylvester equation ni
specialized by ap H2 optimal approximation (bi-linear) ni
specialized by ap H2 optimal approximation (linear) ni
described by source ap Q2192448 ep
described by source ap Q4902925 ep
described by source ap Q6672261 ep
description ap "model order reduction by interpolation of the Volterra series representation of the system's transfer function"@en

H2 optimal approximation (bi-linear)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684558

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computational task c
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MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial control state (reduced) ni
contains ap control system input bilinear ni
contains ap control system input bilinear (reduced) ni
contains ap control system output linear (reduced) ni
contains ap initial condition for control state ni
contains ap control system output linear ni
contains ap Sylvester generalized controllability ni
contains ap Sylvester generalized observability ni
specialized by ap H2 optimal approximation (linear) ni
description ap "model order reduction by H2 optimal approximation for control systems with bi-linear input equation"@en

H2 optimal approximation (linear)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684570

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MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial control state (reduced) ni
contains ap control system output linear (reduced) ni
contains ap initial condition for control state ni
contains ap control system input linear ni
contains ap control system input linear (reduced) ni
contains ap control system output linear ni
contains ap Sylvester equation controllability ni
contains ap Sylvester equation observability ni
description ap "model order reduction by H2 optimal approximation for control systems with linear input equation"@en

half maximal effective concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775852

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described at URL ap E C50 ep
Wikidata QID ap "Q286136"@en
Description (long) ap "Half maximal effective concentration (EC50) is a measure of the concentration of a drug, antibody or toxicant which induces a biological response halfway between the baseline and maximum after a specified exposure time."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "EC50"@en

half saturation constant (Hill binding)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775856

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quantity c
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MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q3116516 ep
description ap "ligand concentration producing half-maximal binding"@en

half saturation constant (Hill kinetics)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775849

belongs to
quantity c
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MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q3116516 ep
description ap "substrate concentration giving half-maximal reaction rate"@en

Hamilton's equationsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674257

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℋ</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝒒</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℋ</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>𝒑</mi></mrow></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝒑</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℋ</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>𝒒</mi></mrow></mrow></mrow></mfrac></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
Wikidata QID ap "Q1115699"@en
Description (long) ap "Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities used in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap leapfrog integration ni
assumes ap classical approximation ni
specialized by ap Newton second law of motion for constant mass ni
related URL ap Hamiltonian mechanics ep
named after ap Q6481547 ep
description ap "classical equations of motion for systems described by a Hamiltonian function specifying the total energy"@en

Hamiltonian functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673870

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Wikidata QID ap "Q360356"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Mathematical formalism ep
named after ap Q6481547 ep
description ap "function of generalized positions and momenta in Hamiltonian mechanics, specifying the total energy of a system"@en

Hamiltonian operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534301

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>T</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>V</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">≡</mo><mover><mi>T</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">+</mo><mover><mi>V</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
Wikidata QID ap "Q660488"@en
Description (long) ap "In quantum mechanics, this is the operator representing the total energy of a quantum system, thus giving the possible outcomes of energy measurements as well as its time evolution."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
discretized by ap Hamiltonian operator (discretized) ni
specialized by ap quantum Hamiltonian (electric charge) ni
specialized by ap Hamiltonian function ni
specialized by ap quantum Hamiltonian (linear rotor) ni
specialized by ap quantum Hamiltonian (electric polarizability) ni
specialized by ap quantum Hamiltonian (electric dipole) ni
specialized by ap quantum Hamiltonian (normal mode, anharmonic) ni
specialized by ap quantum Hamiltonian (normal mode, harmonic) ni
specialized by ap quantum Hamiltonian (symmetric top) ni
specialized by ap light particle Hamiltonian ni
related URL ap Hamiltonian (quantum mechanics) ep
named after ap Q6481547 ep
description ap "operator representing the total energy of a quantum system"@en

Hamiltonian operator (discretized)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775735

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">|</mo><mi>ϕ</mi><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">⟨</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">|</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6481547 ep
description ap "discretizing a Hamiltonian operator using a set of orthonormal basis functions"@en

Hanes Woolf equation (uni uni reaction without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674386

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "equation for uni uni reaction without product following steady state assumption"@en

Hanes Woolf equation (uni uni reaction without product - irreversibility assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674384

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "equation for uni uni reaction without product following irreversibility assumption"@en

Hanes Woolf equation (uni uni reaction without product - rapid equilibrium assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674385

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "equation for uni uni reaction without product following rapid equilibrium assumption"@en

Hanes Woolf equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674380

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "equation for uni uni reaction without product and competitive complete inhibition following steady state assumption"@en

Hanes Woolf equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674381

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap Hanes Woolf equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en

Hanes Woolf equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674382

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en

Hanes Woolf equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674383

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en

Hankel singular valueni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673782

belongs to
quantity c
has facts
described at URL ap Hankel singular value ep
Wikidata QID ap "Q5648530"@en
Description (long) ap "In control theory, Hankel singular values, named after Hermann Hankel, are the basis for balanced model reduction, in which controllable and observable states are retained while the remaining states are discarded. The reduced model retains the important features of the original model."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q1479821 ep
description ap "In control theory, a measure of energy for each state in a system"@en

harvest index accumulation equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821422

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>I</mi><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>H</mi><mi>U</mi><mi>F</mi><mi>H</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>I</mi><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mi>H</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munderover><mi>Δ</mi><mi>H</mi><mi>U</mi><mi>F</mi><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the harvest index on a specific day by accumulating the harvest index heat unit factor over time. It represents the gradual allocation of above-ground biomass to crop yield as the crop develops. The formulation ensures that harvest index increases from zero at planting to its maximum value at maturity. It captures the temporal dynamics of reproductive development."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes daily harvest index value"@en

harvest index development modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821431

belongs to
mathematical model c
has facts
Description (long) ap "This model simulates the development of harvest index over the growing season. Harvest index represents the fraction of above-ground biomass allocated to crop yield. The model assumes that harvest index increases non-linearly from planting to maturity under non-stressed conditions. Development is controlled by phenological progress using a heat unit based scaling factor. The simulated harvest index is used to compute final crop yield."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of harvest index heat unit factor ni
used by ap computation of harvest index development ni
community ap Q6534265 ep
contains ap heat-unit-based phenological development model ni
contains ap harvest index accumulation equation ni
contains ap harvest index heat unit factor equation ni
described by source ap Q6821276 ep
description ap "model simulating temporal development of harvest index"@en

harvest index heat unit factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821417

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "heat unit factor affecting harvest index"@en

harvest index heat unit factor equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821423

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>F</mi><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>F</mi><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>6.50</mn><mo stretchy="false">−</mo><mn>10.0</mn><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation computes a heat unit factor that controls the rate of harvest index development. The factor increases non-linearly with phenological development represented by the heat unit index. Parameter values are chosen so that most crop yield is produced during the second half of the growing season. The formulation reflects observed reproductive development patterns in grain crops."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes phenological scaling factor for harvest index"@en

heat conduction modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675414

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Fourier's law of heat conduction ni
description ap "mathematical model for thermal conduction based on Fourier's law"@en

heat flux densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674009

belongs to
quantity c
has facts
described at URL ap Heat flux ep
Wikidata QID ap "Q1478382"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "heat transferred per area and time"@en

heat transportni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684657

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap heat conduction model ni
description ap "transfer of heat can be classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation"@en

heat unit accumulation equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821274

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>x</mi><mo>,</mo><mi>K</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi><mo>,</mo><mi>K</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">−</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>b</mi><mo>,</mo><mi>j</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation calculates the daily heat units contributing to crop development based on daily maximum and minimum air temperatures. Only temperatures exceeding a crop-specific base temperature contribute to development. Negative values are truncated to zero to prevent development under unsuitable thermal conditions. The resulting heat units are accumulated over time to drive phenological progress."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "effective thermal time per day"@en

heat unit factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821297

belongs to
quantity c
has facts
Description (long) ap "The heat unit factor expresses the relative progress of crop development on a normalized scale from zero to one. It is derived from the accumulated heat unit index using a crop-specific sigmoid function. HUF is used to regulate phenology-dependent growth processes. It provides a smooth, continuous representation of crop development stage."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "normalized crop development factor"@en

heat unit factor equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821306

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi><mi>h</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo>,</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">−</mo><mi>a</mi><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo>,</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">⋅</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the heat unit factor as a sigmoid function of the heat unit index. The heat unit factor represents normalized crop developmental progress from emergence to maturity. Its functional form ensures slow development during early and late stages and more rapid change during intermediate stages. Crop-specific parameters determine the shape of the sigmoid relationship and are calibrated using predefined pairs of heat unit index and heat unit factor values. The resulting heat unit factor is used to control phenology-dependent processes such as leaf area development and biomass partitioning."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes phenological development factor from heat units"@en

heat unit indexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821272

belongs to
quantity c
has facts
Description (long) ap "A heat unit index ranging from 0 at planting to 1 at physiological maturity."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap heat unit index at start of leaf area index decline ni
description ap "index indicating the physiological development of a plant"@en

heat unit index at start of leaf area index declineni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821295

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "heat unit index for specific point in growing season"@en

heat unit index equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821275

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mi>H</mi><mi>U</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munderover><mi>H</mi><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mi>H</mi><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the heat unit index as the ratio of accumulated heat units to the potential heat units required for crop maturity. The index ranges from zero at planting to one at physiological maturity. It provides a normalized, dimensionless measure of development stage. Many other models use this index to regulate growth, partitioning, and senescence processes."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "normalizes accumulated heat units to maturity"@en

heat unit response shape parametersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821298

belongs to
quantity c
has facts
Description (long) ap "These crop-specific parameters determine the shape and steepness of the sigmoid relationship between heat unit index and heat unit factor. They are computed by fitting the heat unit factor equation to two predefined calibration points. The parameters remain constant throughout the simulation. They reflect phenological characteristics specific to each crop."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "shape parameters of HUF sigmoid curve"@en

heat unitsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821270

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "daily effective thermal time"@en

heat-unit-based phenological development modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821278

belongs to
mathematical model c
has facts
Description (long) ap "This model simulates crop physiological development as a function of accumulated daily heat units. Development progresses from planting to physiological maturity based on temperatures exceeding a crop-specific base temperature. The accumulated heat units are normalized to a heat unit index that ranges from zero at planting to one at maturity. This index controls the timing of key developmental processes such as leaf area expansion, biomass partitioning, and harvest readiness. The approach provides a generic yet crop-specific representation of phenology using thermal time."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of crop phenological development stage ni
community ap Q6534265 ep
contains ap heat unit accumulation equation ni
contains ap heat unit index equation ni
described by source ap Q6821276 ep
description ap "crop development driven by accumulated thermal time"@en

heavy particle kinetic operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775381

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>M</mi></mrow></mrow></mfrac></mrow><msubsup><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "kinetic energy operator of the heavy particle(s) in quantum-classical dynamics models"@en

heavy particle massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775382

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mass(es) of the heavy particle(s) in quantum-classical dynamics models"@en

heavy particle mean forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775385

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mo stretchy="false">(</mo><mi>R</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mo stretchy="false">−</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub><mo stretchy="false">⟨</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>R</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mi>r</mi><mo>;</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>R</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mean force acting on the heavy particle(s) in quantum-classical dynamics model"@en

heavy particle momentumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775623

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "momentum(a) of the heavy particle(s) in quantum-classical dynamics models"@en

heavy particle Newton equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775473

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi mathvariant="normal">d</mi><mrow data-mjx-texclass="ORD"><mn mathvariant="normal">2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mover><mi>q</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">=</mo><mover><mi>F</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo lspace="0" rspace="0">/</mo><mi>M</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480703 ep
description ap "Newton equation governing the heavy particle(s) dynamics in quantum-classical dynamics"@en

heavy particle positionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775383

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "position(s) of the heavy particle(s) in quantum-classical dynamics models"@en

heavy particle propagationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775500

belongs to
computational task c
has facts
Description (long) ap "Note that in quantum-classical dynamics the forces acting on the heavy particles depend on the quantum state of the light particles."@en
Description (long) ap "The classical trajectories can be integrated with conventional methods, as the Verlet algorithm. Such integration requires the forces acting on the nuclei. They are proportional to the gradient of the potential energy of the electronic states."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
related URL ap Mixed quantum classical dynamics ep
description ap "propagating the (classical!) state of the heavy particle(s) in quantum-classical dynamics models"@en

heavy particle velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775389

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "velocity(s) of the heavy particle(s) in quantum-classical dynamics models"@en

heavy particle velocity adjustmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775501

belongs to
computational task c
has facts
Description (long) ap "If the classical kinetic energy can afford the energy cost of the quantum transition, the nuclei switch simultaneously to the new PES. The nuclear positions are kept unchanged and the nuclear velocities are adjusted along the direction of the nonadiabatic (NA) coupling vector to conserve total energy. Otherwise, the surface hop is rejected. This procedure is essential to achieve Boltzmann quantum state populations and detailed balance between hops up and down in energy."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
description ap "adjusting heavy particle(s) velocity upon nonadiabatic transitions in quantum-classical dynamics"@en

Henry adsorption constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775723

belongs to
quantity c
has facts
described at URL ap Henry adsorption constant ep
Wikidata QID ap "Q17022447"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6775761 ep
description ap "adsorption proportionality constant at low solute concentrations"@en

Henry adsorption equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775728

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775761 ep
description ap "linear adsorption isotherm describing proportional equilibrium adsorption at low solute concentrations"@en

Henry limit assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821121

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775761 ep
description ap "assumption for Redlich-Peterson exponent"@en

Henry's isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775721

belongs to
mathematical model c
has facts
Description (long) ap "The Henry’s isotherm model is a fundamental adsorption model that describes the linear relationship between solute concentration in the fluid phase and the amount adsorbed on a solid surface. It assumes a homogeneous surface with uniform adsorption sites and is valid at low solute concentrations where adsorption is proportional to concentration. The model represents the initial linear region of more complex isotherms such as the Langmuir and Freundlich models. It is commonly used to characterize dilute adsorption systems in environmental and chemical engineering."@en
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (Henry's isotherm) ni
community ap Q6534265 ep
contains ap Henry adsorption equation ni
described by source ap Q6775724 ep
named after ap Q6775761 ep
description ap "mathematical model describing linear adsorption equilibrium valid at low solute concentrations"@en

heterogeneity of death rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673998

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "shows the different level of susceptibility to dying"@en

high solute concentration in equilibrium assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821122

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">→</mo><mi mathvariant="normal">∞</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for the solute concentration in equilibrium"@en

Hill coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775846

belongs to
quantity c
has facts
Wikidata QID ap "Q1618639"@en
Description (long) ap "The Hill cooperativity coefficient is a dimensionless empirical parameter that quantifies the degree of cooperative behavior in a system modeled by a Hill-type equation. It determines how strongly the binding, adsorption, catalytic rate, or biological response departs from simple non-cooperative behavior. Values greater than one represent positive cooperativity, where one binding or adsorption event increases the likelihood of additional events, while values less than one indicate negative cooperativity. A value of exactly one corresponds to non-cooperative, hyperbolic behavior as seen in classical Langmuir, Michaelis–Menten, or Emax models. The Hill coefficient does not reflect a mechanistic number of sites but rather describes the steepness of the sigmoidal response curve."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q3116516 ep
description ap "slope of the curve describing the binding of an inhibitor or a substrate"@en

Hill constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775847

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q3116516 ep
description ap "affinity constant governing adsorption equilibrium"@en

Hill dose-response equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775838

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>50</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>50</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Emax equation ni
named after ap Q3116516 ep
description ap "sigmoidal dose–response equation describing cooperative effects"@en

Hill equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775844

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msubsup><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q2554020"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q3116516 ep
description ap "Diagram showing the proportion of a receptor bound to a ligand"@en

Hill isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775831

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi>H</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi>H</mi></mrow></mrow></msub><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msubsup><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Langmuir equation ni
named after ap Q3116516 ep
description ap "cooperative adsorption isotherm equation"@en

Hill limiting reaction rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775850

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q3116516 ep
description ap "maximal reaction rate predicted by Hill kinetics"@en

Hill model (adsorption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775830

belongs to
mathematical model c
has facts
Description (long) ap "The Hill model in adsorption is an empirical isotherm used to describe cooperative uptake of solutes on solid surfaces. It represents systems in which the adsorption of one molecule increases or decreases the likelihood of subsequent adsorption events, producing a sigmoidal equilibrium curve. The model captures saturation behavior and incorporates a cooperativity exponent to reflect positive or negative interaction among adsorbed species. When the cooperativity exponent equals one, the model reduces to the non-cooperative Langmuir isotherm. The Hill adsorption model is applied to systems exhibiting S-shaped adsorption behavior in water treatment, materials science, and surface chemistry."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Hill adsorption model) ni
community ap Q6534265 ep
contains ap Hill isotherm equation ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
named after ap Q3116516 ep
description ap "empirical model describing cooperative adsorption on surfaces"@en

Hill model (binding)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775843

belongs to
mathematical model c
has facts
Description (long) ap "The Hill model in binding is an empirical equilibrium model used to describe cooperative interactions between ligands and macromolecular binding sites. It represents fractional occupancy as a sigmoidal function of ligand concentration, controlled by the Hill coefficient, which quantifies positive or negative cooperativity. The model provides a phenomenological framework for allosteric or multi-site binding without requiring a detailed mechanistic interpretation of the molecular steps involved. When the Hill coefficient equals one, the model reduces to simple non-cooperative binding governed by mass-action behavior, though no distinct classical model emerges from this case. The Hill binding model is widely applied in biochemistry, molecular biology, and systems biology to analyze cooperative binding equilibria."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Hill binding model) ni
community ap Q6534265 ep
contains ap Hill equation ni
described by source ap Q6775862 ep
named after ap Q3116516 ep
description ap "empirical model describing cooperative ligand binding"@en

Hill model (dose-response)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775837

belongs to
mathematical model c
has facts
Description (long) ap "The Hill model in dose–response analysis is an empirical pharmacodynamic model used to represent cooperative activation or inhibition by drugs or ligands. It describes how biological effect increases with concentration in a sigmoidal manner controlled by a cooperativity exponent. The model includes a maximal effect and a half-maximal concentration parameter, providing intuitive measures of efficacy and potency. When the cooperativity exponent equals one, the model reduces to the non-cooperative hyperbolic Emax model. The Hill dose–response model is widely used in pharmacology, toxicology, and pharmacokinetic–pharmacodynamic modeling to analyze concentration–effect relationships."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Hill dose-response model) ni
community ap Q6534265 ep
contains ap Hill dose-response equation ni
specialized by ap Emax model ni
described by source ap Q6775861 ep
named after ap Q3116516 ep
description ap "sigmoidal model describing cooperative dose–response behavior"@en

Hill model (enzyme kinetics)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775834

belongs to
mathematical model c
has facts
Description (long) ap "The Hill model in enzyme kinetics is an empirical rate law used to describe cooperative substrate binding and the resulting sigmoidal dependence of initial reaction velocity on substrate concentration. It generalizes the Michaelis–Menten equation by introducing a Hill coefficient that quantifies positive or negative cooperativity among substrate-binding events. The model captures catalytic saturation behavior and provides parameters describing maximal velocity and substrate sensitivity. When the Hill coefficient equals one, the model reduces to the classical non-cooperative Michaelis–Menten form. The Hill enzyme-kinetics model is applied to cooperative or allosteric enzymes in biochemistry and systems biology."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Hill enzyme kinetics model) ni
community ap Q6534265 ep
contains ap Hill velocity equation ni
specialized by ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
named after ap Q3116516 ep
description ap "cooperative model describing enzyme reaction rates"@en

Hill theoretical isotherm saturation capacityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775848

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q3116516 ep
description ap "maximum adsorption capacity predicted by Hill isotherm"@en

Hill velocity equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775835

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>0.5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msubsup><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>0.5</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Michaelis Menten equation (uni uni reaction without product - steady state assumption) ni
named after ap Q3116516 ep
description ap "cooperative rate equation for enzyme catalysis"@en

Hill's muscle modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775593

belongs to
mathematical model c
has facts
described at URL ap Hill%27s muscle model ep
Wikidata QID ap "Q10331394"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
specialized by ap Hill-type two-muscle-one-tendon model ni
described by source ap Q6775602 ep
image ap Hill%20muscle%20model.svg ep
named after ap Q6775535 ep
description ap "biomechanical paradigm explaining how muscles work"@en

Hill-de Boer equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775821

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi></mrow></mrow></mfrac></mrow><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>θ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap linear Hill-de Boer equation ni
named after ap Q3116516 ep
named after ap Q577036 ep
description ap "theoretical adsorption isotherm including lateral interactions"@en

Hill-de Boer equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775777

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q3116516 ep
named after ap Q577036 ep
description ap "adsorption equilibrium constant in the Hill–de Boer isotherm"@en

Hill-de Boer isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775820

belongs to
mathematical model c
has facts
Description (long) ap "The Hill–de Boer isotherm model is a theoretical adsorption model that accounts for lateral interactions and mobility among adsorbed molecules. It extends the Langmuir framework by incorporating an interaction energy term that captures attractive or repulsive forces between neighboring adsorbates. The model relates fractional surface coverage to equilibrium solute concentration through an exponential term derived from statistical thermodynamics. Because it includes interaction effects, it provides a more realistic description of adsorption on surfaces where adsorbate–adsorbate forces are significant. The Hill–de Boer model is used to analyze nonideal adsorption behavior in environmental, chemical, and surface science applications."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Hill-de Boer model) ni
used by ap linear parameter estimation (Hill-de Boer model) ni
community ap Q6534265 ep
contains ap Hill-de Boer equation ni
specialized by ap Volmer isotherm model ni
described by source ap Q6775724 ep
named after ap Q3116516 ep
named after ap Q577036 ep
description ap "mathematical model describing adsorption with lateral interactions"@en

Hill-type two-muscle-one-tendon modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675415

belongs to
mathematical model c
has facts
Description (long) ap "Mathematical model to predict lumped passive and active muscle forces during movement on a macroscopic scale."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Hill-type two-muscle-one-tendon ODE system ni
related URL ap Hill%27s muscle model ep
related URL ap Q10331394 ep
described by source ap Q6668629 ep
named after ap Q6775535 ep
description ap "mathematical model derived from the balancing forces at the muscle ends"@en

Hill-type two-muscle-one-tendon ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674387

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ACE</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PME</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PTE</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mover><mi>x</mi><mo>¨</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PTE</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ACE</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PME</mtext></mrow><mn>1</mn></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mover><mi>x</mi><mo>¨</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PTE</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ACE</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PME</mtext></mrow><mn>2</mn></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "System of Ordinary Differential Equations describing passive and active muscle forces during movement on a macroscopic scale, derived by balancing the forces on the muscle ends."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Hill%27s muscle model ep
related URL ap Q10331394 ep
described by source ap Q6668629 ep
named after ap Q6775535 ep
description ap "system of ordinary differential equations describing passive and active muscle forces"@en

hole densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673830

belongs to
quantity c
has facts
Wikidata QID ap "Q105971101"@en
Description (long) ap "For use in semiconductor physics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap electron density ni
similar to ap electric charge density ni
description ap "density of holes per volume"@en

homogeneous binding sites assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821137

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for Sips model exponent"@en

Homogeneous Neumann Boundary Conditionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674388

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>s</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>e</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>i</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>r</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1458150 ep
description ap "homogeneous Neumann boundary conditions"@en

Hooke's lawni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775578

belongs to
formula c
has facts
described at URL ap Hooke%27s law ep
Wikidata QID ap "Q170282"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Hooke's law (linear elasticity) ni
specialized by ap Hooke's law (spring) ni
named after ap Q6775562 ep
description ap "empirical physical law of mechanics that the force on a spring is proportional to its displacement"@en

Hooke's law (linear elasticity)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674324

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖢</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝜺</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝈</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝈</mi></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi>𝖢</mi></mrow><mo stretchy="false">:</mo><mrow data-mjx-texclass="ORD"><mi>𝜺</mi></mrow></mstyle></mrow></math>"@en
Description (long) ap "An empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F = kx. Also the stresses and strains of material inside a continuous elastic material are connected by a linear relationship that is mathematically similar to Hooke's spring law, and is often referred to by that name."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Hooke's law (spring) ni
specialized by ap plane stress ni
related URL ap Linear elasticity ep
related URL ap Hooke%27s law ep
related URL ap Q170282 ep
named after ap Q6775562 ep
description ap "force to extend or compress a spring by distance scales linearly with distance"@en

Hooke's law (spring)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674389

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>l</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mo stretchy="false">=</mo><mi>k</mi><mi>Δ</mi><mi>l</mi></mstyle></mrow></math>"@en
Description (long) ap "An empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Hooke%27s law ep
related URL ap Q170282 ep
named after ap Q6775562 ep
description ap "force to extend or compress a spring by distance scales linearly with distance"@en

hybrid PDE ODE SEIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675146

belongs to
mathematical model c
has facts
Description (long) ap "Hybrid model combining the PDE model and ODe model, by segmenting the modeling domain into a PDE part and an ODE part."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Allee effect ni
contains ap Homogeneous Neumann Boundary Conditions ni
contains ap integral of the population density fraction of exposed (initial condition) ni
contains ap integral of the population density fraction of infectious (initial condition) ni
contains ap integral of the population density fraction of susceptibles (initial condition) ni
contains ap integral of the total population density (initial condition) ni
contains ap isotropic Gaussian function formulation ni
contains ap fraction of population density of exposed formulation ni
contains ap fraction of population density of infectious formulation ni
contains ap fraction of population density of susceptibles formulation ni
contains ap Neumann boundary condition (SEIR model) ni
contains ap number of exposed individuals formulation ni
contains ap number of susceptible individuals formulation ni
contains ap rate of change of population density fraction of exposed PDE ni
contains ap rate of change of population density fraction of infectious PDE ni
contains ap rate of change of population density fraction of removed PDE ni
contains ap rate of change of population density fraction of susceptibles PDE ni
contains ap SEIR derivative relation ni
contains ap total population density formulation ni
contains ap SEIR epidemiological PDE model ni
contains ap SEIR epidemiological ODE model ni
contains ap continuity of densities condition ni
contains ap continuity of fluxes condition ni
description ap "hybrid model combining PDEs and ODEs"@en

hydraulic conductivityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673842

belongs to
quantity c
has facts
described at URL ap Hydraulic conductivity ep
Wikidata QID ap "Q2783041"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measure of the ability of a porous material to allow water to pass through it"@en

hydrologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821576

belongs to
academic discipline c
has facts
Wikidata QID ap "Q42250"@en
Description (long) ap "Hydrology is the scientific study of the occurrence, movement, distribution, and quality of water on Earth and in the atmosphere. It examines the processes of the water cycle, including precipitation, evaporation, infiltration, runoff, and groundwater flow. Hydrology provides the theoretical and methodological basis for understanding water availability in natural and managed systems. The discipline supports applications in water resource management, agriculture, ecology, and environmental protection."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap agricultural hydrology ni
description ap "science that deals with the water above, on and below the land surface of the earth"@en

hydrolysis of GTPni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771938

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>T</mi><mi>P</mi></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mrow data-mjx-texclass="ORD"><mtext>GTP</mtext></mrow></mrow></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Along with the hydrolysis of GTP, another reaction partner M (e.g. arrestin) emerges."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "hydrolysis reaction of GTP and emergence of a new reaction partner"@en

hyperstress potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673843

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "Hyperstress potential in calculations of elasticity"@en

idealni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674012

belongs to
quantity c
has facts
described at URL ap Ideal (ring theory) ep
Wikidata QID ap "Q44649"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "additive subgroup of a ring closed under multiplication by an arbitrary ring element"@en

identify destruction rules in ancient Egyptian objectsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684658

belongs to
research problem c
has facts
Description (long) ap "Common destruction patterns in ancient Egyptian objects from the 'Cachette de Karnak' suggest that specific rules govern these occurrences."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap object comparison model ni
description ap "identification of rules or patterns of destruction"@en

identity functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674013

belongs to
quantity c
has facts
Interlingual Index ID ap "i109356"@en
described at URL ap Identity function ep
MathWorld ID ap "IdentityFunction"@en
MathWorld ID ap "IdentityMap"@en
MathWorld ID ap "IdentityOperator"@en
nLab ID ap "identity function"@en
Wikidata QID ap "Q321119"@en
ScienceDirect topic ID ap "engineering/identity-map"@en
ScienceDirect topic ID ap "mathematics/identity-map"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
Vikidia article ID ap "fr:Fonction_identité"@en
Freebase ID ap "/m/03wwf"@en
different from ap Q7265444 ep
different from ap Q7276807 ep
different from ap Q7276808 ep
different from ap Q7276809 ep
subclass of ap Q7265067 ep
subclass of ap Q7265068 ep
subclass of ap Q7265341 ep
subclass of ap Q7265444 ep
subclass of ap Q7265683 ep
Microsoft Academic ID ap "33222762"@en
OpenAlex ID ap "C33222762"@en
Elhuyar ZTH ID ap "133678"@en
TeX string ap "\operatorname{id}"@en
description ap "function that always returns the same value that was used as its argument"@en

image denoisingni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684659

belongs to
research problem c
has facts
Wikidata QID ap "Q108033749"@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Gaussian noise ni
description ap "removal of noise from images"@en

imaging of nanostructuresni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684660

belongs to
research problem c
has facts
Description (long) ap "We present a mathematical model and a tool chain for the numerical simulation of transmission electron microscopy (TEM) images of semiconductor quantum dots (QDs). This includes elasticity theory to obtain the strain profile coupled with the Darwin–Howie–Whelan equations, describing the propagation of the electron wave through the sample. This tool chain can be applied to generate a database of simulated transmission electron microscopy (TEM) images, which is a key element of a novel concept for model-based geometry reconstruction of semiconductor QDs, involving machine learning techniques."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap dynamical electron scattering model ni
related URL ap Transmission electron microscopy ep
related URL ap Q110779037 ep
described by source ap Q6672278 ep
description ap "mathematical model for transmission electron microscopy of nanostructures"@en

inactive calcium channelsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774856

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "inctive calcium channels as a species of molecules"@en

index setni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775748

belongs to
quantity c
has facts
described at URL ap Index set ep
Wikidata QID ap "Q21285678"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "arbitrary set containing indices over which a mathematical entity is defined"@en

individual relationship matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674015

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "relations among individuals such as friendship or connections on social media are defined through a binary adjacency matrix"@en

inertia parameter for opinion changes of influencersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673856

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter indicating resistance to rapid optinion change of influencers"@en

inertia parameter for opinion changes of mediani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673857

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter indicating resistance to rapid optinion change of media agents"@en

infected recovery rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674016

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant representing the infected recovery rate"@en

infectiousni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674017

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap number of infected cities ni
specialized by ap number of infectious individuals ni
description ap "general quantity for the number of infectious entities"@en

infectious at time step n+1 in the multi-population SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674390

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></mfrac></mrow><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation to define the number of infectious individuals in the multi-population SI Model"@en

infectious at time step n+1 in the multi-population SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674391

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>Δ</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></mfrac></mrow><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation to define the number of infectious individuals in the multi-population SIR Model"@en

infectious at time step n+1 in the multi-population SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674392

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></mfrac></mrow><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>Δ</mi><mi>t</mi><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation to define the number of infectious individuals in the multi-population SIS Model"@en

infectious at time step n+1 in the SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674296

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation to define the number of infectious individuals in the SI Model"@en

infectious at time step n+1 in the SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674393

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation to define the number of infectious individuals in the SIR Model"@en

infectious at time step n+1 in the SIR model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674394

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">−</mo><mi>β</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation to define the number of infectious individuals in the SIR Model with births and deaths"@en

infectious at time step n+1 in the SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674595

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation to define the number of infectious individuals in the SIS Model"@en

infectious at time step n+1 in the SIS model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674395

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><mi>β</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">−</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation to define the number of infectious individuals in the SIS Model with births and deaths"@en

influencer individual matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673763

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adjacency matrix defining the connections between individuals and influencers at time t"@en

inhibition constant (Andrews)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775656

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "substrate inhibition constant following Andrews"@en

inhibition constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674396

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "inhibition constant"@en

inhibition constant product 1 (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674024

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "Inhibition constant for the product 1 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "inhibition constant"@en

inhibition constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674397

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "inhibition constant"@en

inhibition constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674398

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "inhibition constant"@en

inhibition constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674399

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "inhibition constant"@en

inhibition constant product 2 (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674025

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "Inhibition constant for the product 2 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "inhibition constant"@en

inhibition constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674400

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "inhibition constant"@en

inhibition constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674401

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "inhibition constant"@en

inhibition constant substrate 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674402

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "inhibition constant"@en

inhibition constant substrate 1 (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674026

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "Inhibition constant for the substrate 1 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "inhibition constant"@en

inhibition constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674403

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "inhibition constant"@en

inhibition constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674404

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "inhibition constant"@en

inhibition constant substrate 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674405

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "inhibition constant"@en

inhibition constant substrate 2 (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674027

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "Inhibition constant for the substrate 2 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "inhibition constant"@en

inhibition constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674406

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "inhibition constant"@en

inhibition constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674407

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "inhibition constant"@en

inhibition of membrane calcium channelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773487

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>C</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>o</mi><mi>n</mi></mrow></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>γ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>γ</mi></mrow></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mtext>Ca</mtext></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>on</mtext></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "βγ-subunit inhibits a membrane calcium channel by binding to it"@en

inhibitor concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673923

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of inhibitor present in a reaction environment"@en

initial condition for classical densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674408

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial condition for the phase-space density distribution of a classical mechanical system"@en

initial condition for control stateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674147

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial condition for a control system"@en

initial condition for electron scatteringni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674130

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>𝟎</mn></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow></mrow></mrow></msub><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mtext>for&#xA0;</mtext></mrow><mrow data-mjx-texclass="ORD"><mi>𝐠</mi></mrow><mo stretchy="false">∈</mo><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial condition for electron scattering, used for modeling of transmission electron microscopy"@en

initial condition for momentumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674261

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial condition for the momentum of a classical particle modeled as point mass"@en

initial condition for positionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674262

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial position of a classical particle modeled as point mass"@en

initial condition for quantum densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674409

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap initial condition for classical density ni
specialized by ap initial condition for quantum state ni
description ap "initial condition for the density matrix of a quantum-mechanical system"@en

initial condition for quantum stateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674427

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial condition for the state vector of a quantum-mechanical system"@en

initial condition for the continuous SI model and SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674410

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>I</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>N</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap initial condition for the discrete SI model ni
description ap "initial number of susceptible and infectious individuals is equal to the total population"@en

initial condition for the continuous SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674412

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>I</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>R</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>N</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap initial condition for the discrete SIR model with and without births and deaths ni
description ap "initial number of susceptible, infectious and removed individuals is equal to the total population"@en

initial condition for the discrete SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674411

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mi>N</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial number of susceptible and infectious individuals is equal to the total population"@en

initial condition for the discrete SIR model with and without births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674413

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mi>N</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial number of susceptible, infectious and removed individuals is equal to the total population"@en

initial condition for the multi-population SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674414

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial number of susceptible and infectious individuals is equal to the total population of each subdomain"@en

initial condition for the multi-population SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674415

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial number of susceptible, infectious and removed individuals is equal to the total population of each subdomain"@en

initial condition for the multi-population SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674416

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial number of susceptible and infectious individuals is equal to the total population of each subdomain"@en

initial condition for velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674369

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap free fall initial velocity ni
description ap "initial condition for the velocity of a classical particle modeled as point mass"@en

initial control state (reduced)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674028

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>~</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>~</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>~</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "initial state of a control system; after model order reduction"@en

initial enzyme - product 1 - complex concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674166

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><msub><mn>1</mn><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap initial enzyme - product 1 - complex concentration (bi bi reaction ordered - ODE model) ni
similar to ap initial enzyme - product 2 - complex concentration (bi bi reaction Theorell-Chance - ODE model) ni
description ap "initial concentration"@en

initial enzyme - product 1 - product 2 - complex concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674167

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial enzyme - product 2 - complex concentration (bi bi reaction Theorell-Chance - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674228

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial enzyme - substrate - complex concentration (uni uni reaction - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674421

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial enzyme - substrate 1 - complex concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674168

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial enzyme - substrate 1 - complex concentration (bi bi reaction ping pong - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674205

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial enzyme - substrate 1 - complex concentration (bi bi reaction Theorell-Chance - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674229

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial enzyme - substrate 1 - substrate 2 - complex concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674169

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial enzyme - substrate 1 - substrate 2 = enzyme product 1 - product 2 - complex concentration (bi bi reaction ordered with single central compelx - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674175

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial enzyme concentration (bi bi reaction ordered - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674417

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial enzyme concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674165

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial enzyme concentration (bi bi reaction ping pong - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674418

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial enzyme concentration (bi bi reaction ping pong - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674204

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial enzyme concentration (bi bi reaction Theorell-Chance - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674420

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial enzyme concentration (bi bi reaction Theorell-Chance - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674227

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial enzyme concentration (uni uni reaction - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674344

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial enzyme concentration (uni uni reaction - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674419

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial inhibitor concentration (uni uni reaction)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674422

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial intermediate - substrate 2 - complex concentration (bi bi reaction ping pong - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674207

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><msub><mn>2</mn><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial intermediate concentration (bi bi reaction ping pong - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674206

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mo stretchy="false">∗</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial number of infected citiesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674134

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><msubsup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mrow></msubsup><mo stretchy="false">=</mo><mi>i</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

initial number of SEIR conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775474

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>r</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>s</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "Total number of susceptibles S2(0), exposed E2(0), infectious I2(0) and removed R2(0) of the ODE model at time t= 0 are given"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial number of individuals in all four categories is given"@en

initial product 1 concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674170

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial product 1 concentration (bi bi reaction ordered with product 1 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674157

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 1 concentration (bi bi reaction ordered without product 1 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674161

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 1 concentration (bi bi reaction ping pong - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674208

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial product 1 concentration (bi bi reaction ping pong with product 1 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674194

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 1 concentration (bi bi reaction ping pong without product 1 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674199

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 1 concentration (bi bi reaction Theorell-Chance - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674230

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial product 1 concentration (bi bi reaction Theorell-Chance with product 1 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674220

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial product 1 concentration (bi bi reaction Theorell-Chance without product 1 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674224

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674171

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">P</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">P</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap initial product 1 concentration (bi bi reaction ordered with product 1 - Michaelis Menten model) ni
similar to ap initial product 2 concentration (bi bi reaction ordered with product 2 - Michaelis Menten model) ni
similar to ap initial product 1 concentration (bi bi reaction ordered - ODE model) ni
similar to ap initial product 1 concentration (bi bi reaction ping pong with product 1 - Michaelis Menten model) ni
similar to ap initial product 1 concentration (bi bi reaction ping pong - ODE model) ni
similar to ap initial product 2 concentration (bi bi reaction ping pong - ODE model) ni
similar to ap initial product 1 concentration (bi bi reaction Theorell-Chance with product 1 - Michaelis Menten model) ni
similar to ap initial product 2 concentration (bi bi reaction Theorell-Chance with product 2 - Michaelis Menten model) ni
similar to ap initial product 1 concentration (bi bi reaction Theorell-Chance - ODE model) ni
similar to ap initial product 2 concentration (bi bi reaction Theorell-Chance - ODE model) ni
similar to ap initial product concentration (uni uni reaction - ODE model) ni
similar to ap initial product 2 concentration (bi bi reaction ping pong - Michaelis Menten model) ni
similar to ap initial product concentration (uni uni reaction with product) ni
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction ordered with product 2 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674162

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">P</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">P</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap initial product 1 concentration (bi bi reaction ordered with product 1 - Michaelis Menten model) ni
similar to ap initial product 1 concentration (bi bi reaction ordered - ODE model) ni
similar to ap initial product 2 concentration (bi bi reaction ordered - ODE model) ni
similar to ap initial product 1 concentration (bi bi reaction ping pong - ODE model) ni
similar to ap initial product 2 concentration (bi bi reaction ping pong - ODE model) ni
similar to ap initial product 1 concentration (bi bi reaction Theorell-Chance with product 1 - Michaelis Menten model) ni
similar to ap initial product 2 concentration (bi bi reaction Theorell-Chance with product 2 - Michaelis Menten model) ni
similar to ap initial product 1 concentration (bi bi reaction Theorell-Chance - ODE model) ni
similar to ap initial product 2 concentration (bi bi reaction Theorell-Chance - ODE model) ni
similar to ap initial product concentration (uni uni reaction - ODE model) ni
similar to ap initial product 2 concentration (bi bi reaction ping pong - Michaelis Menten model) ni
similar to ap initial product concentration (uni uni reaction with product) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction ordered without product 2 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674158

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap initial product 1 concentration (bi bi reaction ordered without product 1 - Michaelis Menten model) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction ping pong - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674424

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction ping pong - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674209

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction ping pong with product 2 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674200

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction ping pong without product 2 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674195

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction Theorell-Chance - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674231

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction Theorell-Chance with product 2 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674225

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial product 2 concentration (bi bi reaction Theorell-Chance without product 2 - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674221

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial product concentration (uni uni reaction - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674423

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial product concentration (uni uni reaction with product)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674425

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial product concentration (uni uni reaction without product)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674426

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial reaction rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673924

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "instantaneous rate at the start of the reaction"@en

initial reaction rate of bi bi reaction following ordered mechanism with product 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684628

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ordered mechanism Michaelis Menten model with product 1 (steady state assumption) ni
description ap "initial rate of ordered bi bi reaction with product 1"@en

initial reaction rate of bi bi reaction following ordered mechanism with product 1 and single central complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684629

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ordered mechanism Michaelis Menten model with product 1 and single central complex (steady state assumption) ni
description ap "initial rate of ordered bi bi reaction with product 1 and Single Central complex"@en

initial reaction rate of bi bi reaction following ordered mechanism with product 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684630

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ordered mechanism Michaelis Menten model with product 2 (steady state assumption) ni
description ap "initial rate of ordered bi bi reaction with product 2"@en

initial reaction rate of bi bi reaction following ordered mechanism with product 2 and single central complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684631

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ordered mechanism Michaelis Menten model with product 2 and single central complex (steady state assumption) ni
description ap "initial rate of ordered bi bi reaction with product 2 and Single Central complex"@en

initial reaction rate of bi bi reaction following ordered mechanism with products 1 and 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684632

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ordered mechanism Michaelis Menten model with products 1 and 2 (steady state assumption) ni
description ap "initial rate of ordered bi bi reaction with products 1 and 2"@en

initial reaction rate of bi bi reaction following ordered mechanism with products 1 and 2 and single central complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684633

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ordered mechanism Michaelis Menten model with products 1 and 2 and single central complex (steady state assumption) ni
description ap "initial rate of ordered bi bi reaction with products 1 and 2 and Single Central complex"@en

initial reaction rate of bi bi reaction following ordered mechanism without productsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684634

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ordered mechanism Michaelis Menten model without products (steady state assumption) ni
description ap "initial rate of ordered bi bi reaction without products"@en

initial reaction rate of bi bi reaction following ordered mechanism without products and single central complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684635

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ordered mechanism Michaelis Menten model without products and single central complex (steady state assumption) ni
description ap "initial rate of ordered bi bi reaction without products and Single Central complex"@en

initial reaction rate of bi bi reaction following ping pong mechanism with product 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684624

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ping pong mechanism Michaelis Menten model with product 1 (steady state assumption) ni
specialized by ap initial reaction rate of bi bi reaction following ping pong mechanism without products ni
description ap "initial rate of ping pong bi bi reaction with product 1"@en

initial reaction rate of bi bi reaction following ping pong mechanism with product 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684625

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ping pong mechanism Michaelis Menten model with product 2 (steady state assumption) ni
specialized by ap initial reaction rate of bi bi reaction following ping pong mechanism without products ni
description ap "initial rate of ping pong bi bi reaction with product 2"@en

initial reaction rate of bi bi reaction following ping pong mechanism without productsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684627

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction ping pong mechanism Michaelis Menten model without products (steady state assumption) ni
description ap "initial rate of ping pong bi bi reaction without products"@en

initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684638

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction Theorell-Chance mechanism Michaelis Menten model with product 1 (steady state assumption) ni
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "initial rate of Theorell-Chance bi bi reaction with product 1"@en

initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 1 and 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684640

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction Theorell-Chance mechanism Michaelis Menten model with products 1 and 2 (steady state assumption) ni
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "initial rate of Theorell-Chance bi bi reaction with products 1 and 2"@en

initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684639

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction Theorell-Chance mechanism Michaelis Menten model with product 2 (steady state assumption) ni
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "initial rate of Theorell-Chance bi bi reaction with product 2"@en

initial reaction rate of bi bi reaction following Theorell-Chance mechanism without productsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684641

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap bi bi reaction Theorell-Chance mechanism Michaelis Menten model without products (steady state assumption) ni
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "initial rate of Theorell-Chance bi bi reaction without products"@en

initial reaction rate of uni uni reaction with productni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684661

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap uni uni reaction (Michaelis Menten model with product - steady state assumption) ni
specialized by ap initial reaction rate of uni uni reaction without product ni
description ap "initial rate of uni uni reaction with product"@en

initial reaction rate of uni uni reaction without productni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684662

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
modelled by ap uni uni reaction (Eadie Hofstee model without product - irreversibility assumption) ni
modelled by ap uni uni reaction (Eadie Hofstee model without product - rapid equilibrium assumption) ni
modelled by ap uni uni reaction (Eadie Hofstee model without product - steady state assumption) ni
modelled by ap uni uni reaction (Hanes Woolf model without product - irreversibility assumption) ni
modelled by ap uni uni reaction (Hanes Woolf model without product - rapid equilibrium assumption) ni
modelled by ap uni uni reaction (Hanes Woolf model without product - steady state assumption) ni
modelled by ap uni uni reaction (Michaelis Menten model without product - irreversibility assumption) ni
modelled by ap uni uni reaction (Michaelis Menten model without product - rapid equilibrium assumption) ni
modelled by ap uni uni reaction (Lineweaver Burk model without product - irreversibility assumption) ni
modelled by ap uni uni reaction (Lineweaver Burk model without product - rapid equilibrium assumption) ni
modelled by ap uni uni reaction (Lineweaver Burk model without product - steady state assumption) ni
modelled by ap Hill model (enzyme kinetics) ni
description ap "initial rate of uni uni reaction without product"@en

initial reaction rate of uni uni reaction without product and competitive partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684665

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap uni uni reaction competitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
description ap "initial rate of uni uni reaction without product and competitive partial inhibition"@en

initial reaction rate of uni uni reaction without product and mixed partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684667

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap uni uni reaction mixed partial inhibition (Michaelis Menten model without product - steady state assumption) ni
description ap "initial rate of uni uni reaction without product and mixed partial inhibition"@en

initial reaction rate of uni uni reaction without product and non-competitive partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684669

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap uni uni reaction non-competitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
description ap "initial rate of uni uni reaction without product and non-competitive partial inhibition"@en

initial reaction rate of uni uni reaction without product and uncompetitive partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684671

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap uni uni reaction uncompetitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
description ap "initial rate of uni uni reaction without product and uncompetitive partial inhibition"@en

initial solute concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820984

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "solute concentration at start"@en

initial substrate 1 concentration (bi bi reaction ordered - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674159

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial substrate 1 concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674172

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial substrate 1 concentration (bi bi reaction ping pong - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674196

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial substrate 1 concentration (bi bi reaction ping pong - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674210

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial substrate 1 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674222

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial substrate 1 concentration (bi bi reaction Theorell-Chance - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674232

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial substrate 2 concentration (bi bi reaction ordered - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674160

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">S</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap initial substrate 1 concentration (bi bi reaction ordered - Michaelis Menten model) ni
similar to ap initial substrate 1 concentration (bi bi reaction ordered - ODE model) ni
similar to ap initial substrate 2 concentration (bi bi reaction ordered - ODE model) ni
similar to ap initial substrate 1 concentration (bi bi reaction ping pong - Michaelis Menten model) ni
similar to ap initial substrate 2 concentration (bi bi reaction ping pong - Michaelis Menten model) ni
similar to ap initial substrate 1 concentration (bi bi reaction ping pong - ODE model) ni
similar to ap initial substrate 2 concentration (bi bi reaction ping pong - ODE model) ni
similar to ap initial substrate 1 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni
similar to ap initial substrate 2 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni
similar to ap initial substrate 1 concentration (bi bi reaction Theorell-Chance - ODE model) ni
similar to ap initial substrate 2 concentration (bi bi reaction Theorell-Chance - ODE model) ni
similar to ap initial substrate concentration (uni uni reaction - ODE model) ni
similar to ap initial substrate concentration (uni uni reaction) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial substrate 2 concentration (bi bi reaction ordered - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674173

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">S</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap initial substrate 1 concentration (bi bi reaction ordered - Michaelis Menten model) ni
similar to ap initial substrate 1 concentration (bi bi reaction ordered - ODE model) ni
similar to ap initial substrate 2 concentration (bi bi reaction ordered - ODE model) ni
similar to ap initial substrate 1 concentration (bi bi reaction ping pong - Michaelis Menten model) ni
similar to ap initial substrate 2 concentration (bi bi reaction ping pong - Michaelis Menten model) ni
similar to ap initial substrate 1 concentration (bi bi reaction ping pong - ODE model) ni
similar to ap initial substrate 2 concentration (bi bi reaction ping pong - ODE model) ni
similar to ap initial substrate 1 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni
similar to ap initial substrate 2 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni
similar to ap initial substrate 1 concentration (bi bi reaction Theorell-Chance - ODE model) ni
similar to ap initial substrate 2 concentration (bi bi reaction Theorell-Chance - ODE model) ni
similar to ap initial substrate concentration (uni uni reaction - ODE model) ni
similar to ap initial substrate concentration (uni uni reaction) ni
description ap "initial concentration"@en

initial substrate 2 concentration (bi bi reaction ping pong - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674197

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "initial concentration"@en

initial substrate 2 concentration (bi bi reaction ping pong - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674211

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial substrate 2 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674223

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial substrate 2 concentration (bi bi reaction Theorell-Chance - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674233

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "initial concentration"@en

initial substrate concentration (uni uni reaction - ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674428

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial substrate concentration (uni uni reaction)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674429

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial concentration"@en

initial value of classical densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7256786

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "initial phase-space density distribution of a classical mechanical system"@en

initial value of control systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673897

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "initial value for the state vector of a control system"@en

initial value of momentumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7255969

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "initial value of momentum of a point particle"@en

initial value of positionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7255967

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap free fall initial height ni
description ap "initial value of position of a point particle"@en

initial value of quantum densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7256976

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "initial density matrix of a quantum-mechanical system"@en

initial value of quantum stateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7257178

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "initial state vector of a quantum-mechanical system"@en

initial value of velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7255968

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap free fall initial velocity ni
description ap "initial value of velocity of a point particle"@en

inner cylinder angular velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830622

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "angular velocity of the inner rotating cylinder"@en

inner cylinder radiusni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830620

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "radius of the inner rotating cylinder"@en

integerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673724

belongs to
quantity kind c
has facts
described at URL ap Integer ep
SVKKL authority ID ap "0217278-cela-cisla"@en
MathWorld ID ap "Integer"@en
Brilliant Wiki ID ap "integers"@en
Wikidata QID ap "Q12503"@en
Encyclopedia of Mathematics wiki ID ap "Integer"@en
ISQ dimension ap "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
Gran Enciclopèdia Catalana ID ap "nombre-enter"@en
Vikidia article ID ap "es:Número_entero"@en
Vikidia article ID ap "eu:Zenbaki_oso"@en
Vikidia article ID ap "fr:Nombre_entier_relatif"@en
ProofWiki ID ap "Definition:Integer"@en
FOLDOC ID ap "integer"@en
specialized by ap quantum number ni
specialized by ap number of particles ni
specialized by ap number of cities ni
specialized by ap number of regions ni
specialized by ap total population size ni
specialized by ap number of infected cities ni
specialized by ap number of susceptible cities ni
specialized by ap number of infectious individuals ni
specialized by ap number of susceptible individuals ni
specialized by ap number of removed individuals ni
specialized by ap total number of individuals ni
specialized by ap infectious ni
specialized by ap number of time points ni
specialized by ap maximal object descriptiveness rating ni
specialized by ap molecularity ni
specialized by ap number of exposed individuals ni
specialized by ap number of object properties ni
specialized by ap number of objects ni
specialized by ap number of occurrences ni
specialized by ap number of spindles ni
specialized by ap removed ni
specialized by ap susceptibles ni
specialized by ap day index ni
specialized by ap soil layer index ni
specialized by ap number of compartments ni
specialized by ap number of compartments ni
specialized by ap contact index ni
Yale LUX ID ap "concept/9b1617ee-b360-456c-b019-71509a39f60a"@en
on focus list of Wikimedia project ap Q56557 ep
zbMATH conecept ID ap "integer number"@en
Commons category ap "Integers"@en
BNCF Thesaurus ID ap "23876"@en
topic's main category ap Q7276931 ep
Freebase ID ap "/m/03rv4"@en
equivalent class ap Integer ep
PSH ID ap "7210"@en
Gran Enciclopèdia Catalana ID (former scheme) ap "0234541"@en
Gran Enciclopèdia Catalana ID (former scheme) ap "0234544"@en
different from ap Q6822664 ep
JSTOR topic ID ap "whole-numbers"@en
BabelNet ID ap "00047009n"@en
Encyclopædia Britannica Online ID ap "topic/integer"@en
Australian Educational Vocabulary ID ap "scot/5136"@en
OmegaWiki Defined Meaning ap "968897"@en
KBpedia ID ap "Integer"@en
WordNet 3.1 Synset ID ap "13750609-n"@en
Dewey Decimal Classification ap "512.72"@en
YSO ID ap "11028"@en
NKCR AUT ID ap "ph135364"@en
Store norske leksikon ID ap "heltall"@en
Pixiv Encyclopedia ID ap "整数"@en
topic's main template ap Q7276933 ep
image ap Even Odd Number Line.svg ep
image ap Number line.svg ep
Stack Exchange tag ap integers ep
subclass of ap Q7266060 ep
subclass of ap Q7276929 ep
subclass of ap Q7276930 ep
part of ap Q7265976 ep
Microsoft Academic ID ap "4071166"@en
Open Library subject ID ap "integers"@en
IEV number ap "102-02-02"@en
Treccani's Enciclopedia della Matematica ID ap "numero-intero"@en
studied in ap Q6480713 ep
studied in ap Q7273658 ep
NE.se ID ap "heltal"@en
Den Store Danske ID ap "Z_-_matematisk_begreb"@en
Den Store Danske ID ap "heltal"@en
Online PWN Encyclopedia ID ap "3932364"@en
NicoNicoPedia ID ap "整数"@en
GND ID ap "4134668-3"@en
NDL Authority ID ap "00570428"@en
disjoint union of ap Q56573 ep
Arabic Ontology ID ap "293245"@en
Australian Thesaurus of Education Descriptors ID ap "2323"@en
description ap "number that can be written without a fractional or decimal component"@en

integer problem line planning costsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823147

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>i</mi><mi>n</mi></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>m</mi><mi>i</mi><mi>n</mi><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow></mrow></mrow></munder><mi>c</mi><mi>o</mi><mi>s</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>s</mi><mo stretchy="false">.</mo><mi>t</mi><mo stretchy="false">.</mo><msubsup><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>i</mi><mi>n</mi></mrow></mrow></msubsup><mo stretchy="false">≤</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow><mo stretchy="false">:</mo><mi>e</mi><mo stretchy="false">∈</mo><mi>l</mi></mrow></mrow></munder><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">≤</mo><msubsup><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msubsup><mi mathvariant="normal">∀</mi><mi>e</mi><mtext>&#160;</mtext><mi>i</mi><mi>n</mi><mi>E</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℤ</mi></mrow><mi mathvariant="normal">∀</mi><mi>l</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "compute line concept by minimizing costs"@en

integral of the population density fraction of exposed (initial condition)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674430

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mrow></msub><mi>e</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi><mo stretchy="false">=</mo><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mrow></msub><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "integral of the population density fraction of exposed initial condition"@en

integral of the population density fraction of infectious (initial condition)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674431

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mrow></msub><mi>i</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi><mo stretchy="false">=</mo><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "integral of the population density fraction of infectious initial condition"@en

integral of the population density fraction of susceptibles (initial condition)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674432

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒩</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mrow></msub><mi>s</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi><mo stretchy="false">=</mo><msub><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒩</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">+</mo><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">−</mo><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "integral of the population density fraction of susceptibles initial condition"@en

integral of the total population density (initial condition)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674433

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒩</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mrow></msub><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi><mo stretchy="false">=</mo><msub><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒩</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "integral of the total population density initial condition"@en

interaction energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820966

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "energy of adsorbate–adsorbate interaction"@en

interaction energy constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775825

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant quantifying lateral interaction energy in adsorption"@en

interaction forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673851

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "interaction force on individual by media and influencers"@en

interaction force on an individualni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674434

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐱</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐳</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><msup><mi>j</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup></mrow></munder><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msup><mi>j</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></munderover><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>b</mi><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></munderover><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>c</mi><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></munderover><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "The interaction force on individual i is given by a weighted sum of attractive forces from all other connected individuals j, the respective media and the respective influencer scaled by the parameters a,b,c > 0 respectively."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

interaction potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775369

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "potential modeling pairwise interactions between particles"@en

interaction potential formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775475

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">|</mo><mi>x</mi><mo stretchy="false">|</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">|</mo><mi>x</mi><mo stretchy="false">|</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "given by the generalized Morse potential"@en

interaction weightni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674033

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "interaction weight between a pair of individuals to account for their influence on each other's opinions"@en

interaction weight between individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674435

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mi>ϕ</mi><mo stretchy="false">(</mo><mo stretchy="false">|</mo><mo stretchy="false">|</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><mo stretchy="false">|</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "interaction weights between pairs of individuals"@en

intercepted photosynthetically active radiationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821281

belongs to
quantity c
has facts
Description (long) ap "Intercepted photosynthetically active radiation represents the portion of incoming solar radiation that is absorbed by the crop canopy and available for photosynthesis. It is computed as a function of total solar radiation and canopy leaf area. This quantity determines the energy input for potential biomass growth. It is a central driver of radiation-based crop growth models."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "radiation intercepted by the crop canopy"@en

intermediate - substrate 2 - complex concentration ODE (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674215

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

intermediate - substrate 2 complex concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673818

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of intermediate - substrate 2 complex present in a reaction environment"@en

intermediate concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673817

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of intermediate present in a reaction environment"@en

intermediate concentration ODE (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674214

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

intermolecular potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674034

belongs to
quantity c
has facts
Description (long) ap "Intermolecular potential energy function that describes the interactions between molecules. Typically, intermolecular forces are weak relative to intramolecular forces."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Intermolecular force ep
related URL ap Q245031 ep
related URL ap Q42601590 ep
description ap "energy function that describes the interactions between molecules"@en

internalisation of receptor–ligand complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773486

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>L</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>L</mi></mrow></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "reaction partner initiates internalisation of the receptor–ligand complex"@en

internalised receptorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774841

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "internalised receptor as a species of molecules"@en

internalised receptor recycled to the cell membraneni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773489

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>7</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>7</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>w</mi></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>7</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>7</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>w</mi></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "internalised receptor is recycled to the cell membrane"@en

ion currentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674035

belongs to
quantity c
has facts
described at URL ap Ion current ep
Wikidata QID ap "Q6063423"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "IonCurrent"@en
description ap "flow of electrical charge observed in electrolytes, wires, plasma, and other conducting materials or fluids"@en

irreversibility assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674436

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>X</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>X</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">≫</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "complexed enzyme concentration much higher than the product concentration"@en

isosteric heat at zero coverage formulation (Jossens)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821205

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>s</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>s</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msubsup><mo stretchy="false">=</mo><mi>R</mi><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>H</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "relation between equilibrium constant and isosteric heat"@en

isosteric heat at zero surface coverageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821213

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption heat at infinitesimal surface coverage"@en

isotropic Gaussian functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673982

belongs to
quantity c
has facts
Description (long) ap "Isotropic Gaussian Function located at the center of the respective province used in the PDE SEIR Model for representing density and density fractions."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6480411 ep
description ap "Gaussian function representing density and density fractions of provinces"@en

isotropic Gaussian function formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674437

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>π</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mtext>exp</mtext></mrow><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">|</mo><mo stretchy="false">|</mo><mi>x</mi><mo stretchy="false">−</mo><msubsup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msubsup><mo stretchy="false">|</mo><msup><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480411 ep
description ap "isotropic Gaussian function located at the center of the respective province for representing density and density fractions"@en

joint probabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775377

belongs to
quantity c
has facts
Wikidata QID ap "Q106448902"@en
Description (long) ap "The number of particles in the i-th compartment at time t≥0 is denoted by Aᵢ(t) and Bᵢ(t). 𝓃 = [n₁, n₂, …, nₖ] ∈ ℕᵏ and 𝓂 = [m₁, m₂, …, mₖ] ∈ ℕᵏ are used to define the system state."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "joint probability that Aᵢ(t) = nᵢ and Bᵢ(t) = mᵢ for all i = 1, 2, …, K"@en

Jossens energy parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821210

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter related to adsorption energy distribution"@en

Jossens equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821211

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "temperature-dependent adsorption equilibrium constant"@en

Jossens heterogeneity exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821209

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exponent characterizing surface energy heterogeneity"@en

Jossens heterogeneity exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821206

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for heterogeneity exponent in Jossens isotherm model"@en

Jossens isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821203

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><msubsup><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msubsup></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Jossens heterogeneity exponent constraint ni
specialized by ap Henry adsorption equation ni
description ap "nonlinear adsorption equation based on energy distribution"@en

Jossens isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821202

belongs to
mathematical model c
has facts
Description (long) ap "The Jossens isotherm model is an empirical adsorption model based on a statistical distribution of adsorbate–adsorbent interaction energies on heterogeneous surfaces. It assumes that adsorption sites differ in energy and that the equilibrium concentration depends exponentially on the adsorbed amount. The model introduces temperature-dependent parameters to represent the energetic heterogeneity of the adsorbent surface. At low surface coverage, the equation reduces to Henry’s law, ensuring correct limiting behavior. The Jossens model has been applied mainly to adsorption on activated carbon and other heterogeneous adsorbents in solution-phase systems."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Jossens model) ni
community ap Q6534265 ep
contains ap Jossens isotherm equation ni
contains ap surface energy distribution equation (Jossens) ni
contains ap isosteric heat at zero coverage formulation (Jossens) ni
contains ap Jossens heterogeneity exponent constraint ni
specialized by ap Henry's isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821214 ep
description ap "empirical adsorption model with distributed interaction energies"@en

Jovanovic constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821062

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption affinity constant in Jovanovic model"@en

Jovanovic equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821055

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>J</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>J</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Henry adsorption equation ni
description ap "nonlinear adsorption isotherm with exponential uptake behavior"@en

Jovanovic isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821054

belongs to
mathematical model c
has facts
Description (long) ap "The Jovanovic isotherm model is an empirical adsorption model derived as a modification of the Langmuir concept of monolayer adsorption. It assumes mobile adsorbate molecules on a uniform surface without lateral interactions, but introduces an exponential term that alters how the surface approaches saturation. The model reduces to Henry’s law at low solute concentration and predicts finite saturation at high concentration. Compared with Langmuir, the Jovanovic model approaches saturation more slowly, making it useful for systems where uptake curves exhibit gradual leveling. It is occasionally applied in chemical wastewater treatment but is less widely used than other monolayer models."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Jovanovic model) ni
community ap Q6534265 ep
contains ap Jovanovic equation ni
specialized by ap Henry's isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821064 ep
description ap "empirical monolayer adsorption model without lateral interactions"@en

Jovanovic multilayer constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821063

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap Jovanovic constant ni
description ap "multilayer adsorption constant in multilayer Jovanovic model"@en

Jovanovic multilayer isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821058

belongs to
mathematical model c
has facts
Description (long) ap "The Jovanovich multilayer isotherm model is an empirical adsorption model that extends the Jovanovich monolayer equation to allow adsorption in second and higher layers through an exponential layer-growth term. It introduces separate constants to describe the first-layer adsorption and the contribution of multilayer formation. The model assumes mobile adsorbate molecules and does not incorporate explicit lateral interactions."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Jovanovic multilayer model) ni
community ap Q6534265 ep
contains ap multilayer Jovanovic equation ni
specialized by ap Jovanovic isotherm model ni
described by source ap Q6821064 ep
description ap "empirical multilayer adsorption model with exponential layer growth"@en

jump in the system stateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773622

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><mo stretchy="false">↦</mo><mi>x</mi><mo stretchy="false">+</mo><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "jump in the system state each time a reaction occours"@en

jump operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534312

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>C</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>C</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo>,</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><msqrt><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">→</mo><mi>k</mi></mrow></mrow></msub></msqrt></mrow><mo stretchy="false">|</mo><mi>j</mi><mo stretchy="false">⟩</mo><mo stretchy="false">⟨</mo><mi>k</mi><mo stretchy="false">|</mo></mstyle></mrow></math>"@en
Description (long) ap "Quantum jump operators can be used - together with quantum damping rates - to describe the dissipation and/or decoherence of the quantum dynamics in a Lindblad equation (for open quantum systems)."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Definition ep
description ap "operator describing the dissipation and/or decoherence of open system quantum dynamics in a Lindblad equation"@en

jump rate of ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775390

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "jump rate of species A"@en

jump rate of bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775391

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "jump rate of species B"@en

Khan affinity parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821243

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption strength parameter"@en

Khan heterogeneity exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821244

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "surface heterogeneity exponent"@en

Khan heterogeneity exponent assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821247

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for Khan heterogeneity exponent"@en

Khan heterogeneity exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821246

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo>&gt;</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for Khan heterogeneity exponent"@en

Khan isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821249

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi>K</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi>K</mi></mrow></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Khan heterogeneity exponent constraint ni
specialized by ap Freundlich equation ni
specialized by ap Langmuir equation ni
description ap "generalized Langmuir–Freundlich equilibrium equation"@en

Khan isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821251

belongs to
mathematical model c
has facts
Description (long) ap "The Khan isotherm model is a generalized adsorption isotherm developed to describe equilibrium adsorption in dilute solutions. It unifies the Langmuir and Freundlich models within a single mathematical framework by introducing a model exponent that controls surface heterogeneity. At a specific parameter limit, the model reduces to the Langmuir isotherm, while at high equilibrium concentrations it approaches Freundlich-type behavior. The model is applicable to single-component adsorption and was originally formulated to support extensions to multicomponent systems. It is widely used in environmental and chemical engineering studies of aqueous adsorption."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Khan model) ni
community ap Q6534265 ep
contains ap Khan heterogeneity exponent constraint ni
contains ap Khan isotherm equation ni
specialized by ap Freundlich isotherm model ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821248 ep
description ap "generalized Langmuir–Freundlich adsorption isotherm"@en

Khan theoretical isotherm saturation capacityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821242

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "theoretical saturation adsorption capacity"@en

kinematic viscosityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673977

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q15106259"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Viscosity ep
description ap "characteristic of a fluid in free flow"@en

kinetic batch reactor model (Haldane)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775667

belongs to
mathematical model c
has facts
Description (long) ap "The Haldane-based kinetic batch reactor model is a mathematical model that describes the growth of microorganisms and substrate consumption in a closed system. It relates the rate of biomass change to the concentration of a limiting substrate, includes a death rate coefficient to account for microbial decay, and a substrate inhibition constant to account for substrate inhibition at high concentrations."@en
MaRDI profile type ap Q6534270 ep
used by ap evaluation of biokinetic parameters ni
community ap Q6534265 ep
contains ap biomass-substrate kinetic equations (Haldane) ni
specialized by ap kinetic batch reactor model (Monod) ni
described by source ap Q6775678 ep
named after ap Q1437088 ep
description ap "mathematical model for biomass growth and substrate utilization in a batch reactor following Haldane"@en

kinetic batch reactor model (Monod)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775665

belongs to
mathematical model c
has facts
Description (long) ap "The Monod-based kinetic batch reactor model is a mathematical model that describes the growth of microorganisms and substrate consumption in a closed system. It relates the rate of biomass change to the concentration of a limiting substrate and includes a death rate coefficient to account for microbial decay."@en
MaRDI profile type ap Q6534270 ep
used by ap evaluation of biokinetic parameters ni
community ap Q6534265 ep
contains ap biomass-substrate kinetic equations (Monod) ni
described by source ap Q6775678 ep
named after ap Q6775763 ep
description ap "mathematical model for biomass growth and substrate utilization in a batch reactor following Monod"@en

kinetic energy operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674108

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>P</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>P</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>M</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>M</mi></mrow></mrow></mfrac></mrow><msubsup><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mstyle></mrow></math>"@en
Wikidata QID ap "Q112658527"@en
Description (long) ap "In quantum mechanics, this is the (position representation of the) kinetic energy operator a quantum system in Cartesian coordinates. Obviously, a derivative operator acting on a (position representation) wave function."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap heavy particle kinetic operator ni
specialized by ap light particle kinetic operator ni
related URL ap Hamiltonian (quantum mechanics) ep
related URL ap Q660488 ep
description ap "operator representing the kinetic energy of a quantum system"@en

Kirsch equationsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775598

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>r</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>cos</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mn>2</mn><mi>θ</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>θ</mi><mi>θ</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>cos</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mn>2</mn><mi>θ</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>θ</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>sin</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mn>2</mn><mi>θ</mi><mo stretchy="false">)</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mi>x</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mi>p</mi><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>4</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>p</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1.5</mn><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>2</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>4</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>p</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>y</mi><mi>y</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mi>p</mi><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>4</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>p</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>2</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">−</mo><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>4</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mi>y</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mi>p</mi><mi>sin</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>4</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>p</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>sin</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>2</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>sin</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>4</mn><mi>θ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
described at URL ap Kirsch equations ep
Wikidata QID ap "Q3730893"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Plate with hole in tension ep
solution to ap plate with a hole: linear elasticity model ni
described by source ap Q6775599 ep
named after ap Q1519082 ep
description ap "analytic solution for the elastic stresses around a hole in an infinite plate under one directional tension"@en

Kiselev equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820976

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mi>θ</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap linear Kiselev equation ni
named after ap Q6820992 ep
description ap "localized monolayer adsorption equation with complex formation"@en

Kiselev equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820973

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6820992 ep
description ap "adsorption equilibrium constant in localized monolayer adsorption"@en

Kiselev isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820970

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mathematical model c
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Description (long) ap "The Kiselev isotherm model describes adsorption occurring in a localized monomolecular layer, where adsorbate molecules may form surface complexes with one another. Unlike the Langmuir model, Kiselev explicitly includes a complex-formation parameter that accounts for associations between adsorbed molecules at neighboring sites. This allows the model to represent cooperative or associative adsorption behavior on heterogeneous or interacting surfaces. It is used primarily to interpret adsorption on solids where pairwise interactions or dimer formation occurs. Applications include surface chemistry, catalysis, and environmental adsorption processes such as chemical wastewater treatment."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Kiselev model) ni
used by ap linear parameter estimation (Kiselev model) ni
community ap Q6534265 ep
contains ap Kiselev equation ni
described by source ap Q6775858 ep
named after ap Q6820992 ep
description ap "adsorption model for localized monolayer with complex formation"@en

known constant mean value assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775786

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝔼</mi></mrow><mo stretchy="false">[</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo><mo stretchy="false">=</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mspace width="1em"></mspace><mi mathvariant="normal">∀</mi><mi>x</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow><mo>,</mo><mspace width="2em"></mspace><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mtext>&#160;</mtext><mrow data-mjx-texclass="ORD"><mtext>(given/fixed)</mtext></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption that a stochastic process has known constant mean value"@en

Koble-Corrigan constant Ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821215

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "scaling constant for adsorption capacity"@en

Koble-Corrigan constant Bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821216

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "saturation-related adsorption constant"@en

Koble-Corrigan heterogeneity exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821217

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exponent describing adsorption nonlinearity"@en

Koble-Corrigan heterogeneity exponent assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821219

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for Koble-Corrigan exponent"@en

Koble-Corrigan heterogeneity exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821218

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo>&gt;</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for Koble-Corrigan heterogeneity exponent"@en

Koble-Corrigan isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821221

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>B</mi><mo stretchy="false">+</mo><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Koble-Corrigan heterogeneity exponent constraint ni
specialized by ap Freundlich equation ni
specialized by ap Henry adsorption equation ni
specialized by ap Langmuir equation ni
description ap "hybrid Langmuir–Freundlich adsorption equation"@en

Koble-Corrigan isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821223

belongs to
mathematical model c
has facts
Description (long) ap "The Koble-Corrigan isotherm model is an empirical adsorption model that combines features of the Langmuir and Freundlich isotherms. It is designed to describe equilibrium adsorption on heterogeneous surfaces over a wide concentration range. The model introduces an exponent to capture surface heterogeneity while retaining a saturation behavior at high concentrations. Unlike ideal monolayer models, it does not assume uniform adsorption energies. The Koble-Corrigan model is frequently applied when simpler two-parameter models fail to adequately fit experimental adsorption data."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Koble-Corrigan model) ni
community ap Q6534265 ep
contains ap Koble-Corrigan heterogeneity exponent constraint ni
contains ap Koble-Corrigan isotherm equation ni
specialized by ap Freundlich isotherm model ni
specialized by ap Henry's isotherm model ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821220 ep
description ap "three-parameter hybrid adsorption isotherm"@en

Kriging modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775746

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap stochastic process formulation ni
contains ap second-moment stochastic process specification ni
specialized by ap Gaussian-process regression model ni
specialized by ap simple Kriging model ni
specialized by ap ordinary Kriging model ni
specialized by ap universal Kriging model ni
named after ap Q6775762 ep
description ap "stochastic process with mean and second-moment structure used for regression"@en

labile phosphorus concentration in soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824230

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "concentration of labile phosphorus"@en

labile phosphorus factor for crop uptakeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824229

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "factor for phosphorus uptake"@en

labile phosphorus uptake factor equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824234

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>u</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>L</mi><mi>P</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>u</mi><mo>,</mo><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mn>0.1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0.9</mn><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>L</mi><mi>P</mi><mo>,</mo><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>L</mi><mi>P</mi><mo>,</mo><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">+</mo><mn>117</mn><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>0.283</mn><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>L</mi><mi>P</mi><mo>,</mo><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mrow></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "Computes a dimensionless uptake factor based on labile soil phosphorus concentration, allowing near-optimal uptake at sufficiently high labile phosphorus levels."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "soil phosphorus availability response"@en

Lagrange multiplierni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674036

belongs to
quantity c
has facts
described at URL ap Lagrange multiplier ep
Wikidata QID ap "Q598870"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap control system Lagrange multiplier ni
zbMATH conecept ID ap "lagrange multiplier"@en
named after ap Q6482089 ep
description ap "method to solve constrained optimization problems"@en

Langevin dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675383

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mathematical model c
has facts
described at URL ap Langevin dynamics ep
Wikidata QID ap "Q6485978"@en
Description (long) ap "The approach is characterized by the use of simplified models while accounting for omitted degrees of freedom only implicitly, i.e., by the use of stochastic differential equations."@en
MaRDI profile type ap Q6534270 ep
used by ap classical time evolution ni
community ap Q6534265 ep
contains ap Langevin equation ni
specialized by ap Brownian dynamics ni
named after ap Q6775520 ep
description ap "mathematical model typically used to describe the dynamics of systems subject to a combination of deterministic and fluctuating forces"@en

Langevin equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674259

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi mathvariant="normal">d</mi><mrow data-mjx-texclass="ORD"><mn mathvariant="normal">2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mover><mi>q</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">=</mo><mi>F</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>γ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mrow></mrow></mfrac></mrow><mi>q</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>γ</mi><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></msqrt></mrow><mi>R</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
described at URL ap Langevin equation ep
Wikidata QID ap "Q584537"@en
Description (long) ap "Note that a Langevin equation can be reformulated as a Fokker–Planck equation governing a probability distribution."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Brownian equation ni
specialized by ap Newton second law of motion for constant mass ni
specialized by ap heavy particle Newton equation ni
similar to ap Brownian equation ni
similar to ap Fokker-Planck equation ni
named after ap Q6775520 ep
description ap "same as Newton's equation of motion, but with additional terms for friction|damping and for stochastic collisions added"@en

Langmuir adsorption constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775769

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q74562 ep
description ap "constant representing adsorption affinity in the Langmuir isotherm"@en

Langmuir equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775772

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap linear Langmuir equation ni
named after ap Q74562 ep
description ap "theoretical adsorption isotherm"@en

Langmuir isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775766

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mathematical model c
has facts
Description (long) ap "The Langmuir isotherm model is a theoretical adsorption isotherm that assumes monolayer adsorption of solute molecules onto a homogeneous surface with finite, identical adsorption sites. It is based on the assumption that once a site is occupied, no further adsorption can occur at that site. The model is widely used to describe adsorption processes in water and wastewater treatment, catalysis, and surface chemistry."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Langmuir adsorption model) ni
used by ap linear parameter estimation (Langmuir adsorption model) ni
community ap Q6534265 ep
contains ap Langmuir equation ni
described by source ap Q6775724 ep
described by source ap Q6821319 ep
described by source ap Q6821336 ep
described by source ap Q6821337 ep
described by source ap Q6821374 ep
described by source ap Q6821411 ep
described by source ap Q6821604 ep
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described by source ap Q6821613 ep
described by source ap Q6822055 ep
described by source ap Q6822201 ep
described by source ap Q6822202 ep
named after ap Q74562 ep
description ap "equation that relates the coverage or adsorption of molecules on a solid surface to gas pressure or concentration of a medium above the solid surface at a fixed temperature in equilibrium"@en

Langmuir limit assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821120

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q74562 ep
description ap "assumption for Redlich-Peterson exponent"@en

Laplace equation for the electric potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534320

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mi mathvariant="normal">∇</mi><mi>ϕ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Laplace%27s equation ep
related URL ap Q339444 ep
named after ap Q6481106 ep
description ap "in electrostatics, the Laplace equation characterizes the electrostatic potential in the absence of charges"@en

latitudeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6480497

belongs to
quantity c
has facts
Wikidata QID ap "Q34027"@en
Description (long) ap "Latitude specifies the angular position of a location north or south of the equator. It determines the seasonal amplitude of daylength variation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "angle between zenith and a plane parallel to the equator"@en

law of mass actionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674155

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi><mo stretchy="false">=</mo><mi>k</mi><munderover><mo movablelimits="false" stretchy="false">∏</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
described at URL ap Law of mass action ep
Wikidata QID ap "Q899494"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "rate of chemical reaction is directly proportional to the product of the activities or concentrations of the reactants"@en

leaf area indexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821304

belongs to
quantity c
has facts
Wikidata QID ap "Q446746"@en
Description (long) ap "Leaf area index is a dimensionless measure of canopy size defined as leaf area per unit ground area. It controls the fraction of incoming radiation intercepted by the canopy. Higher values correspond to denser canopies and greater light interception. Leaf area index is a dynamic state variable determined by crop growth and development."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap maximum leaf area index ni
specialized by ap leaf area index at start of decline ni
description ap "dimensionless quantity that characterizes plant canopies"@en

leaf area index at start of declineni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821294

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "value of leaf area index at start of decline"@en

leaf area index decline rate parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821296

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter that governs leaf area index decline for specific crop"@en

leaf area index equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821311

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi><mi>d</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>L</mi><mi>A</mi><mi>I</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><mi>Δ</mi><mi>L</mi><mi>A</mi><mi>I</mi></mtd><mtd class="mwe-math-columnalign-l"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>&lt;</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><msub><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></msup></mtd><mtd class="mwe-math-columnalign-l"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≥</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation represents the dynamic update of leaf area index during the crop growing season. Leaf area index is treated as a state variable that evolves daily as a result of leaf expansion and senescence processes. From crop emergence to the onset of leaf decline, leaf area index is updated by adding a computed daily increment. After the start of leaf decline, leaf area index is reduced according to a phenology-dependent senescence formulation. Together, the governing equations ensure biologically realistic canopy development by allowing growth, saturation, and decline of leaf area."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap start of leaf area decline assumption ni
description ap "dynamic canopy leaf area index over growing season"@en

leaf area index modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821355

belongs to
mathematical model c
has facts
Description (long) ap "This model simulates the temporal evolution of leaf area index for a crop canopy over the growing season. Leaf area development is driven by phenological progress and constrained by crop-specific maximum values. During early growth stages, the model represents leaf expansion, while during later stages it accounts for leaf senescence and decline. Crop stress factors may reduce the rate of leaf area development relative to potential conditions. The simulated leaf area index is used to control canopy processes such as radiation interception and energy exchange."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of leaf area index dynamics ni
community ap Q6534265 ep
contains ap heat-unit-based phenological development model ni
contains ap heat unit factor equation ni
contains ap potential leaf area development equation ni
contains ap leaf area index equation ni
described by source ap Q6821276 ep
description ap "model simulating temporal development of canopy leaf area"@en

leapfrog integrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674264

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>τ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>τ</mi><mo lspace="0" rspace="0">/</mo><mn>2</mn><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>τ</mi><mi>F</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo lspace="0" rspace="0">/</mo><mn>2</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>τ</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>τ</mi><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>τ</mi><mo lspace="0" rspace="0">/</mo><mn>2</mn><mo stretchy="false">)</mo><mo lspace="0" rspace="0">/</mo><mi>m</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>τ</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>τ</mi><mo lspace="0" rspace="0">/</mo><mn>2</mn><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>τ</mi><mi>F</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>τ</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo lspace="0" rspace="0">/</mo><mn>2</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
described at URL ap Leapfrog integration ep
Wikidata QID ap "Q1810707"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "method for numerically integrating differential equations"@en

left boundary for plate with a holeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775592

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mo stretchy="false">=</mo><mn>0</mn><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">o</mi><mi mathvariant="normal">n</mi></mrow></mrow><mspace width="1em"></mspace><mo stretchy="false">{</mo><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">∈</mo><mi>∂</mi><mi>Ω</mi><mo stretchy="false">|</mo><mi>x</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">}</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap lower boundary for plate with a hole ni
description ap "Dirichlet boundary condition for displacements in a plate with a hole: left boundary"@en

lengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673703

belongs to
quantity kind c
has facts
described at URL ap Length ep
Wikidata QID ap "Q36253"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Length"@en
specialized by ap electrode interfaces ni
specialized by ap length of unit cell ni
specialized by ap radial coordinate ni
specialized by ap muscle length ni
specialized by ap change in length ni
specialized by ap characteristic length ni
specialized by ap particle position ni
specialized by ap displacement ni
specialized by ap displacement of atoms ni
specialized by ap earth radius ni
specialized by ap free fall height ni
specialized by ap stress free muscle length ni
specialized by ap tendon length ni
specialized by ap stress free tendon length ni
specialized by ap compartment size ni
specialized by ap length of pendulum ni
specialized by ap maximum crop height ni
specialized by ap crop height ni
specialized by ap rooting depth ni
specialized by ap maximum root depth ni
specialized by ap root zone depth ni
specialized by ap depth ni
description ap "measured dimension of an object"@en

length of pendulumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821159

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "distance from the pivot point to the bob"@en

length of plate with a holeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775582

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "length of the plate with a hole"@en

length of unit cellni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534334

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "defines the size of the repeating unit in a crystal structure"@en

length scale of attractive forcesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775330

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

length scale of repulsive forcesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775331

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

level of mortalityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673999

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate at which individuals in a population die over a specified period"@en

ligandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774833

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "ligand as a species of molecules"@en

ligand concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775855

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "concentration of ligand in the reaction environment"@en

ligand-receptor interactionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775829

belongs to
research problem c
has facts
Wikidata QID ap "Q104536208"@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Hill model (binding) ni
description ap "biological interaction between receptors and ligands"@en

light particle density matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775392

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "quantum density matrix of the light particle(s) in quantum-classical models"@en

light particle eigen energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775394

belongs to
quantity c
has facts
Description (long) ap "Note that in quantum-classical dynamics the parametric dependence of the light particle(s) eigen energies can be interpreted as adiabatic potential energy curves|surfaces governing the heavy particle(s) positions. In one dimension, they may feature avoided or true crossings, in two (or more) dimensions they may display conical intersections."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adiabatic eigen energy of the light particle(s) dynamics in quantum-classical models"@en

light particle eigen stateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775395

belongs to
quantity c
has facts
Description (long) ap "Note the parametric dependence of the light particle(s) eigen states in quantum-classical dynamics"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adiabatic eigen state of the light particle(s) dynamics in quantum-classical models"@en

light particle expansion coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775393

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">≡</mo><mo stretchy="false">⟨</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><mi>ψ</mi><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adiabatic expansion coefficient of the light particle(s) quantum state in quantum-classical models"@en

light particle Hamiltonianni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775396

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>h</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">≡</mo><mover><mi>t</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">+</mo><mover><mi>V</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
Description (long) ap "Note that this Hamiltonian is parametrically dependent on the heavy partivcle(s) positions through the quantum-classical potential"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Mixed quantum classical dynamics ep
related URL ap Q65091550 ep
named after ap Q6481547 ep
description ap "governing the light particle(s) dynamics in quantum-classical models"@en

light particle kinetic operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775397

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>^</mo></mover></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><msubsup><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "kinetic energy operator of the light particle(s) in quantum-classical dynamics models"@en

light particle massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775399

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mass(es) of the light particle(s) in quantum-classical dynamics models"@en

light particle nonadiabatic coupling (first order)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775400

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>m</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">⟨</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></msub><mo stretchy="false">|</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>n</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>m</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msup></mtd></mtr></mtable></mrow></mstyle></mrow></math>"@en
Description (long) ap "Note that the first-order coupling tensor is anti-Hermitian with respect to interchange of the adiabatic state indices"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "first order nonadiabatic coupling of the light particle(s) quantum states induced by heavy particle(s) dynamics in quantum-classical models"@en

light particle nonadiabatic coupling (second order)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775401

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mo stretchy="false">⟨</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><msub><mi>Δ</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub><mo stretchy="false">|</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "second order nonadiabatic coupling of the light particle(s) quantum states induced by heavy particle(s) dynamics in quantum-classical models"@en

light particle nonadiabatic criterion 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775476

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mo>&gt;</mo><mi>r</mi></mstyle></mrow></math>"@en
Description (long) ap "Note that the nonadiabatic transition probabilities are compared against random numbers uniformly distributed between 0 and 1."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "stochastic criterion for a nonadiabatic transition of the light particle(s) in quantum-classical dynamics"@en

light particle nonadiabatic criterion 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775477

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mo>&gt;</mo><mi>r</mi></mstyle></mrow></math>"@en
Description (long) ap "Note that the nonadiabatic transition probabilities are compared against random numbers uniformly distributed between 0 and 1."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "stochastic criterion for a nonadiabatic transition of the light particle(s) in quantum-classical dynamics"@en

light particle nonadiabatic probability 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775402

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mi>max</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mn>0</mn><mo>,</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>m</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow><mi mathvariant="normal">ℜ</mi><mo stretchy="false">(</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub><mo stretchy="false">)</mo><msub><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub><mo stretchy="false">⋅</mo><mi>v</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "Numerical problems may occur due to the (near) divergence of the nonadiabatic coupling tensor elements, thus enforcing very small time steps."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
described by source ap Q6775304 ep
description ap "FSSH-1 probability for a nonadiabatic transition of the light particle(s) subsystem, induced by the heavy particle(s) dynamics"@en

light particle nonadiabatic probability 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775404

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>c</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi>E</mi><mi>Δ</mi><mi>t</mi><mo lspace="0" rspace="0">/</mo><mi alternate="1">ℏ</mi><mo stretchy="false">)</mo><mi>Γ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mi>c</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr></mtable></mrow></mstyle></mrow></math>"@en
Description (long) ap "Numerical problems due to the (near) divergence of the nonadiabatic coupling tensor elements are circumvented here, thus allowing much longer time steps than in Tully's traditional FSSH-1."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
described by source ap Q6775308 ep
description ap "FSSH-2 probability for a nonadiabatic transition of the light particle(s) subsystem, induced by the heavy particle(s) dynamics"@en

light particle nonadiabatic transitionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775502

belongs to
computational task c
has facts
Description (long) ap "Note that in quantum-classical dynamics the effective Hamiltonian governing the non-adiabatic transitions of the light particles parametrically depends on the heavy particle(s) positions."@en
Description (long) ap "Typically, the many different approaches to quantum-classical dynamics, most notably surface hopping trajectories, differ in the way how the nonadiabatic transition probabilities are calculated."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
related URL ap Mixed quantum classical dynamics ep
description ap "nonadiabatic transitions of the light particle(s) in quantum-classical dynamics models"@en

light particle positionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775386

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "position(s) of the light particle(s) in quantum-classical dynamics models"@en

light particle propagationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775503

belongs to
computational task c
has facts
Description (long) ap "Note that in quantum-classical dynamics the effective Hamiltonian governing the quantum dynamics of the light particles parametrically depends on the heavy particle(s) positions."@en
Description (long) ap "The electrons are usually treated by a local approximation of the TDSE, i.e., they depend only on the electronic forces and couplings at the instantaneous position of the nuclei."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap light particle TISE ni
related URL ap Mixed quantum classical dynamics ep
related URL ap Q65091550 ep
description ap "propagating the (quantum!) state of the light particle(s) in quantum-classical dynamics models"@en

light particle state vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775387

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "quantum state vector of the light particle(s) in quantum-classical models"@en

light particle TDSEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775479

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>h</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">=</mo><mover><mi>h</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">(</mo><mi>r</mi><mo>;</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Note that the underlying Hamiltonian for the light particle(s) is parametrically dependent on the heavy particle(s) position(s)."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Mixed quantum classical dynamics ep
related URL ap Q65091550 ep
description ap "time-dependent Schrödinger equation for the light particle(s) dynamics in quantum-classical models"@en

light particle time overlapni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775405

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mo stretchy="false">⟨</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "overlap of light particle(s) eigen states after one time step"@en

light particle TISEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775478

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">|</mo><mi>ϕ</mi><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>h</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>h</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">(</mo><mi>r</mi><mo>;</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Note that the resulting eigen states and eigen energies for the light particle(s) are parametrically dependent on the heavy particle(s) position(s)."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Mixed quantum classical dynamics ep
related URL ap Q65091550 ep
description ap "time-independent Schrödinger equation for the light particle(s) dynamics in quantum-classical models"@en

likelihood functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674037

belongs to
quantity c
has facts
described at URL ap Likelihood function ep
Wikidata QID ap "Q45284"@en
Description (long) ap "Measure used in statistics to quantify how well a given set of model parameters explains observed data."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "probability density of observed data viewed as a function of the parameters of a statistical model"@en

limiting distribution of individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673766

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

limiting distribution of individuals formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674438

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℱ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">→</mo><mi>l</mi></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>Δ</mi><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℱ</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo>,</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo>,</mo><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo>,</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">+</mo></mtd><mtd class="mwe-math-columnalign-r"><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">≠</mo><mi>l</mi></mrow></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">→</mo><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup></mrow></mrow></msubsup><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">→</mo><mi>l</mi></mrow></mrow></msubsup><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup></mrow></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap number of individuals tends to infinity assumption ni
description ap "equation representing the limiting distribution of individuals"@en

limiting reaction rate (bi bi reaction ordered mechanism - backward)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674039

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism in the backward direction."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "limiting reaction rate"@en

limiting reaction rate (bi bi reaction ordered mechanism - forward)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674040

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism in the forward direction."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "limiting reaction rate"@en

limiting reaction rate (bi bi reaction ordered mechanism with single central complex - forward)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674041

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism and Single Central Complex in the forward direction."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "limiting reaction rate"@en

limiting reaction rate (uni uni reaction - backward)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674042

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Maximal initial reaction rate of Uni Uni Reaction in the backward direction."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "limiting reaction rate"@en

limiting reaction rate (uni uni reaction - forward)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673925

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Maximal initial reaction rate of Uni Uni Reaction in the forward direction."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "limiting reaction rate"@en

limiting reaction rate backward (bi bi reaction ordered - single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674440

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "limiting reaction rate"@en

limiting reaction rate backward (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674441

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap initial enzyme concentration (bi bi reaction ping pong - Michaelis Menten model) ni
description ap "limiting reaction rate"@en

limiting reaction rate backward (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674442

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap initial enzyme concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "limiting reaction rate"@en

limiting reaction rate forward (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674443

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap initial enzyme concentration (bi bi reaction ping pong - Michaelis Menten model) ni
description ap "limiting reaction rate"@en

limiting reaction rate forward (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674444

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap initial enzyme concentration (bi bi reaction Theorell-Chance - Michaelis Menten model) ni
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "limiting reaction rate"@en

limiting reaction rate with inhibitor (uni uni reaction - forward)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674043

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>I</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>6</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>I</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>6</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Forward Limiting Reaction Rate with Inhibitor in an Uni Uni Reaction."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "limiting reaction rate"@en

Lindblad equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534317

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi><mo>&gt;</mo><mn>0</mn></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mrow></mrow></mfrac></mrow><mi>ρ</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow></mfrac></mrow><mo stretchy="false">[</mo><mi>H</mi><mo>,</mo><mi>ρ</mi><mo stretchy="false">]</mo><mo stretchy="false">+</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></munderover><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>ρ</mi><msubsup><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">†</mo></mrow></msubsup><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">[</mo><msubsup><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">†</mo></mrow></msubsup><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>,</mo><mi>ρ</mi><msub><mo stretchy="false">]</mo><mrow data-mjx-texclass="ORD"><mo stretchy="false">+</mo></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q4476520"@en
Description (long) ap "Markovian quantum master equation for the evolution of quantum mechanical density matrices (pure or mixed states). It generalizes the Schrödinger equation to open quantum systems; that is, systems in contacts with their surroundings. The resulting dynamics is no longer unitary, but still satisfies the property of being trace-preserving and completely positive for any initial condition."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap detailed balance ni
contains ap initial condition for quantum density ni
related URL ap Lindbladian ep
named after ap Q1054395 ep
description ap "describes open system quantum dynamics including dissipation and/or decoherence"@en

line conceptni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674445

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow><mo>,</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "A line concept is a set of lines together with their frequencies. The frequency of a line says how often service is offered along that line within a given time period (e.g., an hour, a day)."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
described by source ap Q6672216 ep
description ap "line concepts assign frequencies to lines of a line pool"@en

line concept costsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674465

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow><mo>,</mo><mi>f</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow><mo>,</mo><mi>f</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow><mo>,</mo><mi>f</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow></mrow></mrow></munder><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">⋅</mo><mi>c</mi><mi>o</mi><mi>s</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "The costs for a line concept summarizing the costs of single lines multiplied by their frequencies."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap line costs computation ni
description ap "costs of a line concept"@en

line costsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823140

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "costs for operating a vehicle on a line in a PTN"@en

line costs computationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674459

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mi>s</mi><mi mathvariant="normal">&#x005F;</mi><mi>e</mi><mi>d</mi><mi>g</mi><mi>e</mi><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mi>s</mi><mi mathvariant="normal">&#x005F;</mi><mi>f</mi><mi>i</mi><mi>x</mi><mi>e</mi><mi>d</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mi>s</mi><mi mathvariant="normal">&#x005F;</mi><mi>l</mi><mi>e</mi><mi>n</mi><mi>g</mi><mi>t</mi><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mi>s</mi><mi mathvariant="normal">&#x005F;</mi><mi>v</mi><mi>e</mi><mi>h</mi><mi>i</mi><mi>c</mi><mi>l</mi><mi>e</mi><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mi>t</mi><mi>i</mi><mi>o</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi><mi>e</mi><mi>n</mi><mi>g</mi><mi>t</mi><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mi>e</mi><mi>r</mi><mi>i</mi><mi>o</mi><mi>d</mi><mi mathvariant="normal">&#x005F;</mi><mi>l</mi><mi>e</mi><mi>n</mi><mi>g</mi><mi>t</mi><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi><mi>u</mi><mi>r</mi><mi>n</mi><mi mathvariant="normal">&#x005F;</mi><mi>o</mi><mi>v</mi><mi>e</mi><mi>r</mi><mi mathvariant="normal">&#x005F;</mi><mi>t</mi><mi>i</mi><mi>m</mi><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">=</mo><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mi>s</mi><mi mathvariant="normal">&#x005F;</mi><mi>f</mi><mi>i</mi><mi>x</mi><mi>e</mi><mi>d</mi><mo stretchy="false">+</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mo stretchy="false">∈</mo><mi>l</mi></mrow></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mi>s</mi><mi mathvariant="normal">&#x005F;</mi><mi>l</mi><mi>e</mi><mi>n</mi><mi>g</mi><mi>t</mi><mi>h</mi><mo stretchy="false">⋅</mo><mi>l</mi><mi>e</mi><mi>n</mi><mi>g</mi><mi>t</mi><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">+</mo><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mi>s</mi><mi mathvariant="normal">&#x005F;</mi><mi>e</mi><mi>d</mi><mi>g</mi><mi>e</mi><mi>s</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>c</mi><mi>o</mi><mi>s</mi><mi>t</mi><mi>s</mi><mi mathvariant="normal">&#x005F;</mi><mi>v</mi><mi>e</mi><mi>h</mi><mi>i</mi><mi>c</mi><mi>l</mi><mi>e</mi><mi>s</mi><mo stretchy="false">⋅</mo><mo stretchy="false">|</mo><mi>x</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mi>t</mi><mi>i</mi><mi>o</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">+</mo><mi>t</mi><mi>u</mi><mi>r</mi><mi>n</mi><mi mathvariant="normal">&#x005F;</mi><mi>o</mi><mi>v</mi><mi>e</mi><mi>r</mi><mi mathvariant="normal">&#x005F;</mi><mi>t</mi><mi>i</mi><mi>m</mi><mi>e</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>e</mi><mi>r</mi><mi>i</mi><mi>o</mi><mi>d</mi><mi mathvariant="normal">&#x005F;</mi><mi>l</mi><mi>e</mi><mi>n</mi><mi>g</mi><mi>t</mi><mi>h</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">|</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "sum of all costs of a single line"@en

line planningni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684673

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap cost model for line concept ni
related URL ap Linienplanung ep
described by source ap Q6672216 ep
description ap "choosing subset of lines from line pool to generate a line plan afterwards"@en

line poolni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823142

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "subset of the set of all paths in a PTN"@en

linear discrete element methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675389

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Coulomb friction condition between two particles ni
contains ap normal interaction force equation between two particles ni
contains ap tangential interaction force equation between two particles ni
contains ap torque equation of particle ni
description ap "variant of the discrete element method that employs linear contact models for inter-particle forces"@en

linear Elovich isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775818

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>ln</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "empirical adsorption equation based on exponential energy variation"@en

linear Flory-Huggins equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820988

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>H</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>H</mi></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6820990 ep
named after ap Q6820991 ep
description ap "Flory–Huggins adsorption isotherm"@en

linear Fowler-Guggenheim equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820967

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>G</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>F</mi><mi>G</mi></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>θ</mi><mi>W</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q2595344 ep
named after ap Q561111 ep
description ap "linear adsorption isotherm including lateral interaction effects"@en

linear Hill-de Boer equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775826

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>ln</mi><mo>&#x2061;</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>θ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q3116516 ep
named after ap Q577036 ep
description ap "theoretical adsorption isotherm including lateral interactions"@en

linear Kiselev equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820975

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>h</mi><mi>e</mi><mi>t</mi><mi>a</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6820992 ep
description ap "linear localized monolayer adsorption equation with complex formation"@en

linear Langmuir equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775771

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q74562 ep
description ap "theoretical adsorption isotherm"@en

linear parameter estimation (Elovich isotherm)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775815

belongs to
computational task c
has facts
Description (long) ap "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Elovich equilibrium constant and the Elovich maximum adsorption capacity by fitting the linearized form of the Elovich isotherm to measured values of adsorbed amount and equilibrium solution concentration. The linearization expresses the ratio of adsorbed amount to equilibrium concentration in logarithmic form, allowing the model parameters to be obtained from the slope and intercept of a straight-line plot. The resulting parameters describe the surface heterogeneity and the exponential energy distribution assumed by the empirical Elovich model."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap Elovich equilibrium constant ni
contains ap linear Elovich isotherm equation ni
description ap "linear estimation of Elovich adsorption parameters from equilibrium data"@en

linear parameter estimation (Flory-Huggins model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820983

belongs to
computational task c
has facts
Description (long) ap "This task uses the linearized Flory–Huggins equation to estimate the equilibrium constant and occupation number from transformed equilibrium data. Linear regression provides a straightforward estimation method, but may introduce bias due to logarithmic transformation. The resulting parameters characterize adsorption feasibility and the extent of surface site occupation in the Flory–Huggins model."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial solute concentration ni
contains ap Flory-Huggins equilibrium parameter ni
contains ap Flory-Huggins occupancy number ni
contains ap degree of surface coverage ni
contains ap linear Flory-Huggins equation ni
named after ap Q6820990 ep
named after ap Q6820991 ep
description ap "linear estimation of Flory–Huggins parameters"@en

linear parameter estimation (Fowler-Guggenheim isotherm model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820964

belongs to
computational task c
has facts
Description (long) ap "This task estimates the Fowler–Guggenheim equilibrium constant and the interaction energy using the linearized form of the isotherm. Experimental equilibrium data are transformed and fitted using linear regression, providing a simplified estimation method. While computationally efficient, this approach may introduce bias from linearization. The results characterize the adsorption affinity and the sign and magnitude of lateral adsorption interactions."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap fractional surface coverage ni
contains ap Fowler-Guggenheim equilibrium constant ni
contains ap interaction energy ni
contains ap linear Fowler-Guggenheim equation ni
named after ap Q2595344 ep
named after ap Q561111 ep
description ap "linear estimation of Fowler–Guggenheim parameters"@en

linear parameter estimation (Freundlich isotherm)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775714

belongs to
computational task c
has facts
Description (long) ap "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Freundlich capacity and adsorption intensity constants by fitting the linearized Freundlich equation to measured solute concentration and adsorbed amount data. The results characterize the adsorption capacity and surface heterogeneity of the adsorbent."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Freundlich adsorption capacity constant ni
contains ap Freundlich adsorption intensity constant ni
contains ap Freundlich equation (linearized) ni
named after ap Q74555 ep
description ap "determine Freundlich capacity and intensity from experimental data"@en

linear parameter estimation (Henry's isotherm)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775722

belongs to
computational task c
has facts
Description (long) ap "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine Henry’s constant by fitting the linear Henry’s equation to measured solute concentration and adsorbed amount data. The results quantify the proportional relationship between solute concentration and adsorption at low concentrations, characterizing the initial adsorption behavior of the adsorbent."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Henry adsorption constant ni
contains ap Henry adsorption equation ni
named after ap Q6775761 ep
description ap "determine Henry's constant from experimental data"@en

linear parameter estimation (Hill-de Boer model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775823

belongs to
computational task c
has facts
Description (long) ap "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Hill–de Boer constant and the interaction energy constant by fitting the linearized Hill–de Boer equation to measured equilibrium concentration and fractional surface coverage data. The resulting parameters describe adsorption affinity and the strength of lateral interactions among adsorbed molecules."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap Hill-de Boer equilibrium constant ni
contains ap fractional surface coverage ni
contains ap interaction energy constant ni
contains ap linear Hill-de Boer equation ni
named after ap Q3116516 ep
named after ap Q577036 ep
description ap "Hill-de Boer model"@en

linear parameter estimation (Kiselev model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820972

belongs to
computational task c
has facts
Description (long) ap "This task estimates the Kiselev equilibrium constant and the complex formation constant using the linearized form of the Kiselev isotherm. Experimental equilibrium coverage and concentration data are transformed and analyzed using linear regression. Although computationally simple, the approach may introduce bias due to data transformation. The estimated parameters describe adsorption affinity and the extent of complex formation among adsorbed species."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap fractional surface coverage ni
contains ap Kiselev equilibrium constant ni
contains ap complex formation constant ni
contains ap linear Kiselev equation ni
named after ap Q6820992 ep
description ap "nonlinear estimation of Kiselev model parameters"@en

linear parameter estimation (Langmuir adsorption model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775768

belongs to
computational task c
has facts
Description (long) ap "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Langmuir adsorption constant and maximum monolayer adsorption capacity by fitting the linearized Langmuir equation to measured solute concentration and adsorbed amount data. The results characterize the adsorption capacity and surface homogeneity of the adsorbent."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Langmuir adsorption constant ni
contains ap maximum monolayer adsorption capacity ni
contains ap linear Langmuir equation ni
named after ap Q74562 ep
description ap "Langmuir adsorption model"@en

linear parameter estimation (Temkin isotherm model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820957

belongs to
computational task c
has facts
Description (long) ap "This task performs linear parameter estimation using adsorption equilibrium data by applying the linearized form of the Temkin isotherm. By plotting fractional coverage against the natural logarithm of solute concentration, the slope and intercept allow direct estimation of the adsorption-energy variation and the Temkin equilibrium constant. Although convenient, the linear method may introduce statistical bias due to transformation of variables. Nevertheless, it is widely used for rapid assessment of Temkin parameters in adsorption analysis. This approach is especially common in environmental and chemical engineering studies of pollutant adsorption."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap fractional surface coverage ni
contains ap Temkin equilibrium constant ni
contains ap adsorption energy variation ni
contains ap linear Temkin isotherm equation ni
named after ap Q6820993 ep
description ap "linear estimation of Temkin isotherm parameters"@en

linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - irreversibility assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684571

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap substrate concentration ni
contains ap Michaelis constant substrate (uni uni reaction - irreversibility assumption) ni
contains ap Eadie Hofstee equation (uni uni reaction without product - irreversibility assumption) ni
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "linear fit to determine the limiting reaction rate and michaelis constant"@en

linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - rapid equilibrium assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684574

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap substrate concentration ni
contains ap Michaelis constant substrate (uni uni reaction - rapid equilibrium assumption) ni
contains ap Eadie Hofstee equation (uni uni reaction without product - rapid equilibrium assumption) ni
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "linear fit to determine the limiting reaction rate and michaelis constant"@en

linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684576

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap Eadie Hofstee equation (uni uni reaction without product - steady state assumption) ni
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "linear fit to determine the limiting reaction rate and michaelis constant"@en

linear parameter estimation (uni uni reaction without product - Hanes Woolf model - irreversibility assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684578

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap substrate concentration ni
contains ap Michaelis constant substrate (uni uni reaction - irreversibility assumption) ni
contains ap Hanes Woolf equation (uni uni reaction without product - irreversibility assumption) ni
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "linear fit to determine the limiting reaction rate and michaelis constant"@en

linear parameter estimation (uni uni reaction without product - Hanes Woolf model - rapid equilibrium assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684579

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap substrate concentration ni
contains ap Michaelis constant substrate (uni uni reaction - rapid equilibrium assumption) ni
contains ap Hanes Woolf equation (uni uni reaction without product - rapid equilibrium assumption) ni
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "linear fit to determine the limiting reaction rate and michaelis constant"@en

linear parameter estimation (uni uni reaction without product - Hanes Woolf model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684580

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap Hanes Woolf equation (uni uni reaction without product - steady state assumption) ni
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "linear fit to determine the limiting reaction rate and michaelis constant"@en

linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - irreversibility assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684581

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap substrate concentration ni
contains ap Michaelis constant substrate (uni uni reaction - irreversibility assumption) ni
contains ap Lineweaver Burk equation (uni uni reaction without product - irreversibility assumption) ni
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "linear fit to determine the limiting reaction rate and michaelis constant"@en

linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - rapid equilibrium assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684582

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap substrate concentration ni
contains ap Michaelis constant substrate (uni uni reaction - rapid equilibrium assumption) ni
contains ap Lineweaver Burk equation (uni uni reaction without product - rapid equilibrium assumption) ni
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "linear fit to determine the limiting reaction rate and michaelis constant"@en

linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684583

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap Lineweaver Burk equation (uni uni reaction without product - steady state assumption) ni
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "linear fit to determine the limiting reaction rate and Michaelis constant"@en

linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Dixon model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684584

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap Dixon equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
named after ap Q6775527 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Eadie Hofstee model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684586

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap Eadie Hofstee equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Hanes Woolf model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684587

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap Hanes Woolf equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Lineweaver Burk model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684588

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap Lineweaver Burk equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Dixon model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684589

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Dixon equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
named after ap Q6775527 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Eadie Hofstee model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684591

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Eadie Hofstee equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Hanes Woolf model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684592

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Hanes Woolf equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Lineweaver Burk model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684593

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Lineweaver Burk equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Dixon model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684594

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Dixon equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
named after ap Q6775527 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Eadie Hofstee model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684596

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Eadie Hofstee equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Hanes Woolf model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684597

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Hanes Woolf equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Lineweaver Burk model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684598

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Lineweaver Burk equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Dixon model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684599

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Dixon equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
named after ap Q6775527 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Eadie Hofstee model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684601

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Eadie Hofstee equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Hanes Woolf model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684602

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Hanes Woolf equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Lineweaver Burk model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684603

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Lineweaver Burk equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

linear parameter estimation of enzyme kineticsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684573

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
specialized by ap linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - irreversibility assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - rapid equilibrium assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product - Hanes Woolf model - irreversibility assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product - Hanes Woolf model - rapid equilibrium assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product - Hanes Woolf model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - irreversibility assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - rapid equilibrium assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Dixon model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Eadie Hofstee model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Hanes Woolf model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Lineweaver Burk model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Dixon model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Eadie Hofstee model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Hanes Woolf model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Lineweaver Burk model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Dixon model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Eadie Hofstee model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Hanes Woolf model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Lineweaver Burk model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Dixon model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Eadie Hofstee model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Hanes Woolf model - steady state assumption) ni
specialized by ap linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Lineweaver Burk model - steady state assumption) ni
described by source ap Q6672259 ep
description ap "linear determination of the kinetic constants for enzyme-catalyzed reactions"@en

linear rotorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675420

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap quantum time evolution ni
used by ap quantum stationary states ni
community ap Q6534265 ep
contains ap quantum eigen energy (linear rigid rotor) ni
specialized by ap linear rotor (apolar) ni
specialized by ap linear rotor (polar) ni
description ap "mathematical model of a linear molecule as a rigid rotor"@en

linear rotor (apolar)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675422

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap quantum time evolution ni
used by ap quantum stationary states ni
community ap Q6534265 ep
contains ap molecular alignment ni
contains ap molecular orientation ni
description ap "mathematical model of an apolar linear molecule as a rigid rotor, interacting through its induced dipole moment with electric fields"@en

linear rotor (combined)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675424

belongs to
mathematical model c
has facts
Description (long) ap "Note that under certain circumstances analytical solutions to the TISE are available for a finite number of low energy states (conditional quasi-exact solutions)."@en
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap quantum time evolution ni
used by ap quantum stationary states ni
used by ap quantum conditional quasi-solvability ni
community ap Q6534265 ep
contains ap molecular alignment ni
contains ap molecular orientation ni
specialized by ap linear rotor (apolar) ni
specialized by ap linear rotor (polar) ni
description ap "mathematical model of a polar linear molecule as a rigid rotor, interacting through both its permanent and induced electric dipole moment with electric fields"@en

linear rotor (non-rigid)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675421

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap quantum time evolution ni
used by ap quantum stationary states ni
community ap Q6534265 ep
contains ap quantum Hamiltonian (non-rigid rotor) ni
contains ap quantum eigen energy (linear non-rigid rotor) ni
approximated by ap linear rotor ni
description ap "modeling a linear molecule as a non-rigid rotor, i.e., the bond between the atoms stretches out as the molecule rotates faster"@en

linear rotor (polar)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675423

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap quantum time evolution ni
used by ap quantum stationary states ni
community ap Q6534265 ep
contains ap molecular alignment ni
contains ap molecular orientation ni
description ap "mathematical model of a polar linear molecule as a rigid rotor, interacting through its permanent dipole moment with electric fields"@en

linear strainni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673974

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>l</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q1990546"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "LinearStrain"@en
specialized by ap fiber stretch ni
related URL ap Strain (mechanics) ep
image ap Strain.jpg ep
description ap "relative change of length with respect the original length"@en

linear Temkin isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820960

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>Q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>Q</mi></mrow></mrow></mfrac></mrow><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>Q</mi></mrow></mrow></mfrac></mrow><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6820993 ep
description ap "linear adsorption isotherm with logarithmic dependence on concentration"@en

linear time-invariant systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675333

belongs to
mathematical model c
has facts
described at URL ap Linear time invariant system ep
Wikidata QID ap "Q1808960"@en
MaRDI profile type ap Q6534270 ep
used by ap balanced truncation (linear) ni
used by ap control system time evolution (linear) ni
used by ap H2 optimal approximation (linear) ni
community ap Q6534265 ep
contains ap initial condition for control state ni
contains ap control system input linear ni
contains ap control system output linear ni
description ap "control system with linear input and output equations and time-independent coefficients"@en

Lineweaver Burk equation (uni uni reaction without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674468

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "equation for uni uni reaction without product following steady state assumption"@en

Lineweaver Burk equation (uni uni reaction without product - irreversibility assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674466

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "equation for uni uni reaction without product following irreversibility assumption"@en

Lineweaver Burk equation (uni uni reaction without product - rapid equilibrium assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674467

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "equation for uni uni reaction without product following rapid equilibrium assumption"@en

Lineweaver Burk equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674469

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "equation for uni uni reaction without Product and competitive complete inhibition following steady state assumption"@en

Lineweaver Burk equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674470

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en

Lineweaver Burk equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674471

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en

Lineweaver Burk equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674472

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en

link recommendation functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674047

belongs to
quantity c
has facts
Description (long) ap "Link recommendation algorithms are often used to suggest new connections to users that have the greatest potential to be established. In modelling Opinion Dynamics, link recommendation can be incorporated via this function by assuming that individuals have a higher chance of switching to an influencer with a structurally similar followership. Strictly increasing on [0,1]."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "function representing link recommendation"@en

Liouville equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674267

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>ρ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ρ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ρ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mover><mi>q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ρ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mover><mi>p</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
described at URL ap Liouville%27s equation ep
Wikidata QID ap "Q20180666"@en
Description (long) ap "Consider a Hamiltonian dynamical system with canonical coordinates and conjugate momenta. Then the phase space distribution determines the probability that the system will be found in the infinitesimal phase space volume."@en
Description (long) ap "Note the similarity with the quantum Liouville (von Neumann) equation where the Poisson brackets {.,.} are replaced by commutator brackets [.,.]"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap classical approximation ni
related URL ap Liouville%27s theorem ( Hamiltonian) ep
named after ap Q6482292 ep
description ap "partial differential equation for the that time rate of change of density of points in phase space"@en

local approximationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830560

belongs to
formula c
has facts
Description (long) ap "the electron distribution function is defined by the local electric field or local mean electron energy, i.e. non-local effects can be neglected"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

local charge-neutrality condition in semiconductorsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7284040

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn><mo stretchy="false">=</mo><mi>q</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mo stretchy="false">−</mo><mi>q</mi><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>q</mi><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">−</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>C</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "condition requiring zero local net charge, defining the charge-neutrality potential"@en

local charge-neutrality potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7284039

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "electrostatic potential in a semiconductor satisfying local charge neutrality conditions"@en

local stochastic processni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6842072

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "locally defined stochastic process"@en

logical rule extraction formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674352

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">⟨</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi><mo stretchy="false">=</mo><mi>G</mi><mo stretchy="false">(</mo><mo stretchy="false">⟨</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow><mo stretchy="false">⟩</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation that extracts logical rules by determining the Gröbner basis of an ideal"@en

Lorentz forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674479

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mo stretchy="false">=</mo><mi>q</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝑬</mi></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mi>𝑩</mi></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
described at URL ap Lorentz force ep
Wikidata QID ap "Q172137"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap nonrelativistic approximation ni
named after ap Q6775523 ep
description ap "force exerted on a moving electric (point) charge in electromagnetic field (non-relativistic approach)"@en

Lorentz force equation (relativistic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674481

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mrow></mrow></mfrac></mrow><mfrac><mrow><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>𝐯</mi></mrow></mrow><mrow><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝐯</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow></mrow></mfrac><mo stretchy="false">=</mo><mi>q</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐄</mi></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi>𝐯</mi></mrow><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Lorentz force ni
related URL ap Lorentz force ep
related URL ap Q172137 ep
named after ap Q6775523 ep
description ap "force exerted on a moving electric (point) charge in electromagnetic field (relativistic approach)"@en

Lorentz force model (non-relativistic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675428

belongs to
mathematical model c
has facts
Description (long) ap "Neglecting the fact that real particles would generate their own E and B fields, which would alter the electromagnetic forces that they experience."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Lorentz force ni
assumes ap nonrelativistic approximation ni
related URL ap Q172137 ep
named after ap Q6775523 ep
description ap "modeling the motion of "test charges" in electromagnetic fields in terms of the Lorentz force"@en

Lorentz force model (relativistic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675429

belongs to
mathematical model c
has facts
Description (long) ap "Neglecting the fact that real particles would generate their own E and B fields, which would alter the electromagnetic forces that they experience."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Lorentz force equation (relativistic) ni
specialized by ap Lorentz force model (non-relativistic) ni
related URL ap Q172137 ep
named after ap Q6775523 ep
description ap "modeling the motion of "test charges" in electromagnetic fields in terms of the Lorentz force"@en

loss function (Romanization)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674049

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi><mo stretchy="false">(</mo><mi>σ</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mrow></munderover></mstyle><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><mi>ϕ</mi><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">|</mo><mi>σ</mi><mo>,</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">∙</mo><mo>,</mo><mn>0</mn></mrow></mrow></msub><mo stretchy="false">)</mo><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
contains ap loss function (Romanization) ni
related URL ap Q1036748 ep
description ap "loss function summing over regions and data points"@en

loss function minimizationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674482

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munder><mo>min</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mi>G</mi><mo>,</mo><mi>α</mi><mo stretchy="false">)</mo></mrow></mrow></munder><mi>ℓ</mi><mo stretchy="false">(</mo><mi>σ</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "minimization of loss function over regions and data points"@en

loss function modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675430

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
related URL ap Q1036748 ep
description ap "in mathematical optimization, a function (to be minimized) representing the cost of each outcome"@en

low multilayer adsorption constant assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821061

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>J</mi><mo>,</mo><mi>m</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>J</mi><mo>,</mo><mi>m</mi></mrow></mrow></msub><mo stretchy="false">→</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption that multilayer adsorption effects vanish"@en

low solute concentration in equilibrium assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821057

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">→</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for the solute concentration in equilibrium"@en

low surface coverage assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821208

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">→</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "adsorption regime with negligible surface occupancy"@en

lower boundary for plate with a holeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775591

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mo stretchy="false">=</mo><mn>0</mn><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">o</mi><mi mathvariant="normal">n</mi></mrow></mrow><mspace width="1em"></mspace><mo stretchy="false">{</mo><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">∈</mo><mi>∂</mi><mi>Ω</mi><mo stretchy="false">|</mo><mi>y</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">}</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap left boundary for plate with a hole ni
description ap "Dirichlet boundary condition for displacements in a plate with a hole: lower boundary"@en

lumped activation parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673952

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>λ</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi><mo stretchy="false">≡</mo><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow><mo>,</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>λ</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

Lyapunov equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674141

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mi>X</mi><mo stretchy="false">+</mo><mi>X</mi><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msup><mo stretchy="false">+</mo><mi>Q</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
described at URL ap Lyapunov equation ep
Wikidata QID ap "Q1028945"@en
Description (long) ap "Numerical solution of a Lyapunov equation via Zhou and Sorensen 2-solve method, implemented as part of the Matrix Equation Sparse Solver (M.E.S.S.) project. Copyright 2009–2022 Jens Saak, Martin Koehler, Peter Benner and others."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap stability linear autonomous system ni
specialized by ap Lyapunov generalized controllability ni
specialized by ap Lyapunov generalized observability ni
specialized by ap Lyapunov equation controllability ni
specialized by ap Lyapunov equation observability ni
related URL ap mess ep
described by source ap Q1811877 ep
named after ap Q6482447 ep
description ap "matrix equation used in the stability analysis of linear dynamical systems"@en

Lyapunov equation controllabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674151

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">+</mo><mi>B</mi><msup><mi>B</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "For the solvability of ordinary Lyapunov equations, the stability condition for A is the only requirement."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Lyapunov equation ep
related URL ap Q1028945 ep
named after ap Q6482447 ep
description ap "Lyapunov equation used in the stability analysis of linear dynamical systems to determine the controllability"@en

Lyapunov equation observabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674152

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mi>A</mi><mo stretchy="false">+</mo><msup><mi>C</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msup><mi>C</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "For the solvability of ordinary Lyapunov equations, the stability condition for A is the only requirement."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Lyapunov equation ep
related URL ap Q1028945 ep
named after ap Q6482447 ep
description ap "Lyapunov equation used in the stability analysis of linear dynamical systems to determine the observability"@en

Lyapunov generalized controllabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674145

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">+</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><msubsup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msubsup><mo stretchy="false">+</mo><mi>B</mi><msup><mi>B</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "For a numerical solution, one can resort to iterative schemes, which requires the solution of a standard Lyapunov equation in each step. As an alternative, one may use the biconjugate gradient method (with preconditioner) as suggested by Tobias Breiten from TU Graz, Austria, now TU Berlin."@en
Description (long) ap "For the solvability of generalized Lyapunov equations, there are two requirements: (1) stability condition for A and (2) suitable upper bound for the norm of N."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Lyapunov equation controllability ni
related URL ap Lyapunov equation ep
related URL ap Q1028945 ep
named after ap Q6482447 ep
description ap "generalized Lyapunov equation used in the stability analysis of linear dynamical systems to determine the controllability"@en

Lyapunov generalized observabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674146

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mi>A</mi><mo stretchy="false">+</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msubsup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msubsup><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">+</mo><msup><mi>C</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msup><mi>C</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "For a numerical solution, one can resort to iterative schemes, which requires the solution of a standard Lyapunov equation in each step. As an alternative, one may use the biconjugate gradient method (with preconditioner) as suggested by Tobias Breiten from TU Graz, Austria, now TU Berlin."@en
Description (long) ap "For the solvability of generalized Lyapunov equations, there are two requirements: (1) stability condition for A and (2) suitable upper bound for the norm of N."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Lyapunov equation observability ni
related URL ap Lyapunov equation ep
related URL ap Q1028945 ep
named after ap Q6482447 ep
description ap "generalized Lyapunov equation used in the stability analysis of linear dynamical systems to determine the observability"@en

magnetic constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673739

belongs to
quantity c
has facts
described at URL ap Vacuum permeability ep
Wikidata QID ap "Q1515261"@en
Description (long) ap "The magnetic permeability in a classical vacuum. It is a physical constant that quantifies the strength of the magnetic field induced by an electric current."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT constant ID ap "MagneticConstant"@en
description ap "strength of the magnetic field induced by an electric current"@en

magnetic fieldni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673690

belongs to
quantity kind c
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described at URL ap Magnetic field ep
Wikidata QID ap "Q11408"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi><mspace width="0.167em"></mspace><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup><mspace width="0.167em"></mspace><msup><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "MagneticFieldStrength_H"@en
image ap Dipol Magnet.svg ep
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Markov jump processni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773625

belongs to
quantity c
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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒮</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mo stretchy="false">≥</mo><mn>0</mn></mrow></mrow></msub><mo>,</mo><mrow data-mjx-texclass="ORD"><mtext>where</mtext></mrow><mspace width="0.278em"></mspace><mi>X</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒮</mi></mrow></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Markov chain ep
related URL ap Q1115431 ep
named after ap Q6481882 ep
description ap "Markov jump process used in the signalling of G‑protein coupled receptors model"@en

massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673705

belongs to
quantity kind c
has facts
described at URL ap Mass ep
Wikidata QID ap "Q11423"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Mass"@en
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specialized by ap effective mass ni
specialized by ap electron mass ni
specialized by ap free fall mass ni
specialized by ap proton mass ni
specialized by ap particle mass ni
image ap C G Kilogram.jpg ep
description ap "property of matter to resist changes of the state of motion and to attract other bodies"@en

mass balanceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674156

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">+</mo><mi mathvariant="normal">∇</mi><mi>F</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
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Wikidata QID ap "Q3276889"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "mass that enters a system must, by conservation of mass, either leave the system or accumulate within the system"@en

mass densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673712

belongs to
quantity kind c
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described at URL ap Density ep
Wikidata QID ap "Q29539"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Density"@en
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specialized by ap material density ni
image ap Density%20column. J P G ep
description ap "mass per volume of a substance"@en

mass diffusivityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673864

belongs to
quantity c
has facts
described at URL ap Mass diffusivity ep
Wikidata QID ap "Q604008"@en
Description (long) ap "Diffusion coefficient is usually written as the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient in the concentration of the species."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap diffusion coefficient for SEIR model ni
description ap "proportionality constant between the molar flux and the negative value of the gradient in the concentration of the species"@en

mass fractionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822029

belongs to
quantity kind c
has facts
Wikidata QID ap "Q899138"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "MassFraction"@en
specialized by ap optimal nitrogen concentration for a plant ni
specialized by ap optimal phosphorus concentration for a plant ni
specialized by ap labile phosphorus concentration in soil layer ni
description ap "ratio of one substance's mass to the mass of the total mixture"@en

mass per areani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822031

belongs to
quantity kind c
has facts
Wikidata QID ap "Q1907514"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "MassPerArea"@en
specialized by ap root weight in soil layer increment ni
specialized by ap accumulated plant biomass ni
specialized by ap soil nitrate content ni
specialized by ap daily nitrogen fixation ni
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specialized by ap accumulated root weight in soil layer ni
description ap "amount of mass per unit area"@en

material densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673953

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measure of how much mass is contained within a given volume of a material"@en

material point accelerationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673954

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "acceleration experienced by material points in the Material Point Method"@en

material point displacementni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673836

belongs to
quantity c
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Description (long) ap "Material Point Displacement in the context of the Material Point Method (MPM) refers to the movement of material points, which are used to track physical information like mass and velocity."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "movement of material points"@en

material point velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673837

belongs to
quantity c
has facts
Description (long) ap "Material Point Velocity in the context of the Material Point Method (MPM) refers to the velocity assigned to each material point within a simulation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "velocity assigned to each material point within a simulation"@en

materials scienceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775292

belongs to
academic discipline c
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Wikidata QID ap "Q228736"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap transmission electron microscopy ni
specialized by ap strength of materials ni
image ap Diamond%20cuboctahedron.jpg ep
description ap "research, discovery and design of physical materials (especially solids)"@en

mathematical analysis of DHW equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684605

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
described by source ap Q5007132 ep
description ap "mathematical analysis of Darwin Howie Whelan equation for the scattering of fast electrons described by the Schrödinger equation."@en

mathematical pendulum (initial condition)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821397

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "specifying the initial condition of a mathematical pendulum"@en

mathematical pendulum amplitude (small angle, damped, driven)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822171

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>κ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mo stretchy="false">(</mo><mi>Ω</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mn>4</mn><msup><mi>κ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amplitude of a pendulum with friction and periodic driving"@en

mathematical pendulum equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821404

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>ϕ</mi><mo>¨</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow><mi>sin</mi><mo>&#x2061;</mo><mi>ϕ</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap mathematical pendulum equation (small angle) ni
description ap "ordinary differential equation for a mathematical pendulum, for arbitrary amplitudes"@en

mathematical pendulum equation (small angle)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821154

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>ϕ</mi><mo>¨</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow><mi>ϕ</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation for a mathematical pendulum, assuming small amplitudes"@en

mathematical pendulum equation (small angle, damped)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822090

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>κ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>ϕ</mi><mo>¨</mo></mover><mo stretchy="false">+</mo><mn>2</mn><mi>κ</mi><mover><mi>ϕ</mi><mo>˙</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow><mi>ϕ</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap mathematical pendulum equation (small angle) ni
description ap "expanation bla bla bla"@en

mathematical pendulum equation (small angle, damped, driven)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822164

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
comment ap "Eq. (17) from paper [19]"@en
description ap "equation of motion for a pendulum with friction and periodic driving"@en

mathematical pendulum frequencyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821403

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></mfrac></mrow></msqrt></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "frequency of a mathematical pendulum"@en

mathematical pendulum frequency (small angle)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821158

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow></msqrt></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "frequency of a mathematical pendulum, assuming small angle approximation"@en

mathematical pendulum frequency (small angle, damped)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822087

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>κ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow><mo stretchy="false">−</mo><msup><mi>κ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "expanation bla bla bla"@en

mathematical pendulum length (small angle)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821443

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><msup><mi>π</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "length of a mathematical pendulum, within the small angle approximation"@en

mathematical pendulum model (small angle, damped)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822091

belongs to
mathematical model c
has facts
Description (long) ap "this model describes damped oscillations of an idealized pendulum with friction"@en
MaRDI profile type ap Q6534270 ep
used by ap determine frequency of a pendulum (small angle, damped) ni
community ap Q6534265 ep
contains ap mathematical pendulum (initial condition) ni
contains ap mathematical pendulum solution (small angle, damped) ni
contains ap mathematical pendulum equation (small angle, damped) ni
assumes ap classical approximation ni
assumes ap uniform gravitational acceleration ni
assumes ap nonrelativistic approximation ni
assumes ap small angle approximation ni
specialized by ap mathematical pendulum model (small angle) ni
related URL ap Formelsammlung N A T I.pdf ep
description ap "point mass swinging on a massless rod with friction, assuming small amplitudes"@en

mathematical pendulum model (small angle, damped, driven)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822168

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap determine amplitude of a pendulum (small angle, damped, driven) ni
used by ap determine resonance of a pendulum (small angle, damped, driven) ni
community ap Q6534265 ep
contains ap mathematical pendulum equation (small angle, damped, driven) ni
contains ap mathematical pendulum solution (small angle, damped, driven) ni
specialized by ap mathematical pendulum model (small angle, damped) ni
related URL ap Formelsammlung N A T I.pdf ep
description ap "point mass swinging on a massless rod with friction and periodic driving, assuming small amplitudes"@en

mathematical pendulum periodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821446

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi><mo stretchy="false">=</mo><mn>4</mn><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>g</mi></mrow></mrow></mfrac></mrow></msqrt></mrow><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msubsup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>ϕ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mi>cos</mi><mo>&#x2061;</mo><mi>ϕ</mi><mo stretchy="false">−</mo><mi>cos</mi><mo>&#x2061;</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msqrt></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap mathematical pendulum period (small angle) ni
description ap "analytical expression for the period of vibration of a mathematical pendulum, for arbitrary initial amplitude"@en

mathematical pendulum period (small angle)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821439

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi><mo stretchy="false">=</mo><mn>2</mn><mi>π</mi><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></mfrac></mrow></msqrt></mrow></mstyle></mrow></math>"@en
Description (long) ap "This relation is also known as Christiaan Huygens's law for the period of a pendulum. Note that under the small-angle approximation, the period is independent of the initial amplitude; this is the property of isochronism that Galileo first discovered."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q2603291 ep
description ap "period of vibration of a mathematical pendulum, within the small angle approximation"@en

mathematical pendulum phase shift (small angle, damped, driven)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822172

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>κ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi><mo stretchy="false">(</mo><mi>Ω</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mi>arctan</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>κ</mi><mi>Ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow><mo stretchy="false">−</mo><msup><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "phase shift of a pendulum with friction and periodic driving"@en

mathematical pendulum solution (small angle)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821398

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow></msqrt></mrow><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
solution to ap mathematical pendulum model (small angle) ni
description ap "analytical solution for a mathematical pendulum using the small angle approximation"@en

mathematical pendulum solution (small angle, damped)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822086

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>κ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ℓ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>κ</mi><mi>t</mi><mo stretchy="false">)</mo><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></mfrac></mrow></msqrt></mrow><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap mathematical pendulum solution (small angle) ni
description ap "expanation bla bla bla"@en

mathematical pendulum solution (small angle, damped, driven)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822169

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>A</mi><mo stretchy="false">(</mo><mi>Ω</mi><mo stretchy="false">)</mo><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>Ω</mi><mi>t</mi><mo stretchy="false">−</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>Ω</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "analytical solution for a pendulum with friction and periodic driving"@en

matrix Mni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775379

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "block Matrix M"@en

matrix Sni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775454

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "Matrix S (quantity)"@en

maximal object descriptiveness ratingni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674056

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximal rating assigned to an object commonality in terms of object descriptiveness"@en

maximal responseni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775854

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximal response achievable by the system"@en

maximizing Poisson log-likelihoodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684606

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap death count ni
contains ap exposure of an individual ni
contains ap extrinsic mortality ni
contains ap heterogeneity of death rate ni
contains ap level of mortality ni
contains ap rate of aging ni
contains ap likelihood function ni
contains ap Poisson log-likelihood ni
named after ap Q6775559 ep
description ap "maximizing Poisson log-likelihood of mortality models"@en

maximum crop heightni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821360

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum height of crop"@en

maximum frequency of lineni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823141

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum frequency of line in public transport planning"@en

maximum isometric muscle forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673731

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "greatest force a muscle can generate without changing its length"@en

maximum leaf area indexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821291

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum value of leaf area index for a specific crop"@en

maximum likelihood estimationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684607

belongs to
computational task c
has facts
described at URL ap Maximum likelihood estimation ep
Wikidata QID ap "Q1045555"@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
specialized by ap maximizing Poisson log-likelihood ni
zbMATH conecept ID ap "maximum likelihood estimation"@en
description ap "estimating the parameters of a statistical model to fit given observations"@en

maximum monolayer adsorption capacityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775770

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum amount of solute that can form a monolayer on the adsorbent surface"@en

maximum monolayer adsorption volumeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822196

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum volume of adsorbate gas that can form a monolayer on the adsorbent surface"@en

maximum root depthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821381

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the maximum rooting depth attainable by a crop under ideal soil conditions. It is a crop-specific parameter reflecting genetic potential for root system expansion."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "crop-specific maximum rooting depth under ideal soil conditions"@en

maximum specific growth rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775647

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximal rate of specific growth"@en

maximum temperatureni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821266

belongs to
quantity c
has facts
Wikidata QID ap "Q9356633"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "highest temperature observed during the day"@en

Maxwell's equationsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675320

belongs to
mathematical model c
has facts
described at URL ap Maxwell%27s equations ep
Wikidata QID ap "Q51501"@en
Description (long) ap "Given the charge density ρ(r, t) and the current density j(r, t), Maxwell's equations yield the electric and magnetic fields, E(r, t) and B(r, t). These equations are the simplest representative of a more general class of models, also referred as Maxwell's equations, where ρ(r, t) and j(r, t) should be found from certain additional relations, e.g., from the Ohm's law."@en
Description (long) ap "Together with the Lorentz force law, Maxwell's equations form the foundation of classical electromagnetism and optics. The equations provide a mathematical model for electric, optical, and radio technologies."@en
MaRDI profile type ap Q6534270 ep
used by ap far field radiation ni
used by ap near field radiation ni
community ap Q6534265 ep
contains ap Ampère's circuital law ni
contains ap Faraday's law of induction ni
contains ap Gauss's law ni
contains ap Gauss's law for magnetism ni
assumes ap nonrelativistic approximation ni
specialized by ap multipole expansion ni
described by source ap Q6672241 ep
named after ap Q6482471 ep
description ap "set of four coupled partial differential equations describing how electric and magnetic fields are generated and altered by each other and by charges and currents"@en

mean electron energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775685

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
described by source ap Q6775686 ep
description ap "from local-mean-energy approximation for hydrodynamic plasma descriptions"@en

mean-field Ehrenfestni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775435

belongs to
mathematical model c
has facts
Description (long) ap "The trajectories for the heavy particle(s) are propagated on a weighted average of potential energy surfaces of the light particle(s). The weights are determined by the amount of nonadiabatic mixing."@en
MaRDI profile type ap Q6534270 ep
used by ap heavy particle propagation ni
used by ap light particle propagation ni
community ap Q6534265 ep
contains ap heavy particle Newton equation ni
contains ap light particle TDSE ni
discretized by ap mean-field Ehrenfest with pickaback ni
described by source ap Q6775312 ep
named after ap Q561166 ep
description ap "mean-field or Ehrenfest approach to quantum-classical dynamics"@en

mean-field Ehrenfest with pickabackni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7257548

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap pickaback integrator for quantum-classical dynamics ni
description ap "mean-field Ehrenfest model with pickaback discretization"@en

mean-field PDE modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775428

belongs to
mathematical model c
has facts
Description (long) ap "These equations describe the spatiotemporal evolution of the concentration of particles, depending on position and time, and approximate the empirical measure of the particle-based dynamics in the case of large N."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap convolution between interaction force and density formulation ni
contains ap evolution of the concentration of particles PDE ni
described by source ap Q6738150 ep
description ap "for large population sizes particle-based dynamics may be approximated by a mean-field PDE model"@en

mean-field SPDE modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775431

belongs to
mathematical model c
has facts
Description (long) ap "Stochastic effects crucial for systems of finite size N, especially in the case of clustering behavior."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap evolution of the concentration of particles SPDE ni
assumes ap white noise distribution assumption ni
described by source ap Q6738150 ep
description ap "Mean Field mofel for clustering dynamics comprising of SPDEs"@en

mean-field theoryni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775437

belongs to
mathematical model c
has facts
described at URL ap Mean field theory ep
Wikidata QID ap "Q626011"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
specialized by ap mean-field PDE model ni
specialized by ap mean-field SPDE model ni
specialized by ap mean-field Ehrenfest ni
description ap "studying the behavior of high-dimensional models by studying simpler models that approximate the original by averaging over degrees of freedom"@en

mechanical deformation (boundary value)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673844

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mechanical deformation at a domain boundary"@en

mechanical loadni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775600

belongs to
quantity c
has facts
described at URL ap Mechanical load ep
Wikidata QID ap "Q815284"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Types of loadings ep
description ap "external mechanical resistance against which a machine acts"@en

mechanical strainni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673722

belongs to
quantity kind c
has facts
described at URL ap Strain (mechanics) ep
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Strain"@en
specialized by ap linear strain ni
specialized by ap passive muscle strain ni
specialized by ap strain tensor ni
related URL ap Q3083131 ep
description ap "in continuum mechanics, strain is defined as the relative deformation of matter caused by mechanical stress"@en

mechanical stressni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673723

belongs to
quantity kind c
has facts
described at URL ap Stress (mechanics) ep
Wikidata QID ap "Q206175"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "Has components shear stress, normal stress. These macroscopic forces are actually the net result of a very large number of intermolecular forces and collisions between the constituent atoms or molecules."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Stress"@en
specialized by ap viscous stress tensor ni
specialized by ap eigenstress of crystal ni
specialized by ap stress of crystal ni
specialized by ap normal stress ni
specialized by ap stress tensor ni
description ap "internal forces caused by deformation of a continuous material"@en

mechanicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821150

belongs to
academic discipline c
has facts
described at URL ap Mechanics ep
Wikidata QID ap "Q41217"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap biomechanics ni
specialized by ap classical mechanics ni
specialized by ap continuum mechanics ni
specialized by ap strength of materials ni
image ap Arabic%20machine%20manuscript%20 %20 Anonym%20 %20 Ms.%20or.%20fol.%203306%20c.jpg ep
description ap "science concerned with physical bodies subjected to forces or displacements"@en

medical imagingni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684707

belongs to
academic discipline c
has facts
described at URL ap Medical imaging ep
Wikidata QID ap "Q931309"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap image denoising ni
contains ap biodistribution of gamma-radiation emitting radiotracers in vivo ni
image ap Ruptured A A A.png ep
description ap "technique and process of creating visual representations of the interior of a body"@en

medium follower matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673769

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adjacency matrix for medium-follower relations"@en

medium influencer fractionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674059

belongs to
quantity c
has facts
Description (long) ap "Fraction of individuals that follow a specific medium and influencer at a given time."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap medium influencer fraction limit ni
description ap "fraction of individuals following a specific medium and influencer at a given time"@en

medium influencer fraction limitni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673767

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of individuals following a specific medium and influencer at a given time with total number of Individuals tending to infinity"@en

membrane capacitanceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674060

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "how much charge a cell membrane can store when a voltage is applied across it"@en

membrane potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674069

belongs to
quantity c
has facts
described at URL ap Membrane potential ep
Wikidata QID ap "Q389844"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "difference in electric potential between the interior and the exterior of a biological cell"@en

Michaelis constant product (uni uni reaction - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674064

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the product of an uni uni reaction under the steady state assumption"@en

Michaelis constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674484

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant product 1 (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674062

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the product 1 of a bi bi reaction with ordered mechanism under the steady state assumption"@en

Michaelis constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674485

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674486

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674487

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant product 2 (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674063

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the product 2 of a bi bi reaction with ordered mechanism under the steady state assumption"@en

Michaelis constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674488

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674489

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant substrate (uni uni reaction - irreversibility assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673933

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the substrate of an uni uni reaction under the irreversibility assumption"@en

Michaelis constant substrate (uni uni reaction - rapid equilibrium assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673934

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the substrate of an uni uni reaction under the rapid equilibrium assumption"@en

Michaelis constant substrate (uni uni reaction - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673926

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the substrate of an uni uni reaction under the steady state assumption"@en

Michaelis constant substrate 1 (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674065

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the substrate 1 of a bi bi reaction with ordered mechanism under the steady state assumption"@en

Michaelis constant substrate 1 (bi bi reaction ordered with single central complex - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674067

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the substrate 1 of a bi bi reaction with ordered mechanism and single central complex under the steady state assumption"@en

Michaelis constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674490

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674491

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant substrate 2 (bi bi reaction ordered - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674066

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the substrate 2 of a bi bi reaction with ordered mechanism under the steady state assumption"@en

Michaelis constant substrate 2 (bi bi reaction ordered with single central complex - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674068

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6773641 ep
description ap "Michaelis constant for the substrate 2 of a bi bi reaction with ordered mechanism and single central complex under the steady state assumption"@en

Michaelis constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674492

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674493

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "constant representing the concentration at which the reaction rate is half of its maximum value"@en

Michaelis Menten equation (bi bi reaction ordered with product 1 - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674498

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ordered mechanism and product 1 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ordered with product 1 and single central complex - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674499

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap inhibition constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ordered mechanism and product 1 and Single Central Complex following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ordered with product 2 - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674500

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ordered mechanism and product 2 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ordered with product 2 and single central complex - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674501

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap inhibition constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ordered mechanism and product 2 and Single Central Complex following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ordered with products 1 and 2 - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674502

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ordered mechanism and products 1 and 2 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ordered with products 1 and 2 and single central complex - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674503

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap equilibrium constant (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ordered mechanism and products 1 and 2 and Single Central Complex following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ordered without products - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674504

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ordered mechanism and without products following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ordered without products and single central complex - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674505

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap inhibition constant substrate 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ordered mechanism without products and Single Central Complex following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ping pong with product 1 - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674193

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap inhibition constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap limiting reaction rate forward (bi bi reaction ping pong) ni
contains ap Michaelis constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
specialized by ap Michaelis Menten equation (bi bi reaction ping pong without products - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ping pong mechanism with product 1 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ping pong with product 2 - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674198

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap inhibition constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap limiting reaction rate forward (bi bi reaction ping pong) ni
contains ap Michaelis constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
specialized by ap Michaelis Menten equation (bi bi reaction ping pong without products - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ping pong mechanism with products 2 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ping pong with products 1 and 2 - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674201

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap equilibrium constant (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap limiting reaction rate backward (bi bi reaction ping pong) ni
contains ap limiting reaction rate forward (bi bi reaction ping pong) ni
contains ap Michaelis constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
specialized by ap Michaelis Menten equation (bi bi reaction ping pong with product 1 - Michaelis Menten model - steady state assumption) ni
specialized by ap Michaelis Menten equation (bi bi reaction ping pong with product 2 - Michaelis Menten model - steady state assumption) ni
specialized by ap Michaelis Menten equation (bi bi reaction ping pong without products - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ping pong mechanism with products 1 and 2 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction ping pong without products - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674202

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap limiting reaction rate forward (bi bi reaction ping pong) ni
contains ap Michaelis constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with ping pong mechanism without products following steady state assumption"@en

Michaelis Menten equation (bi bi reaction Theorell-Chance with product 1 - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674506

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap inhibition constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap limiting reaction rate backward (bi bi reaction Theorell-Chance) ni
contains ap limiting reaction rate forward (bi bi reaction Theorell-Chance) ni
contains ap Michaelis constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "equation for bi bi reaction with Theorell-Chance mechanism with product 1 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction Theorell-Chance with product 2 - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674507

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap inhibition constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap limiting reaction rate backward (bi bi reaction Theorell-Chance) ni
contains ap limiting reaction rate forward (bi bi reaction Theorell-Chance) ni
contains ap Michaelis constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "equation for bi bi reaction with Theorell-Chance mechanism with product 2 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction Theorell-Chance with products 1 and 2 - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674508

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap equilibrium constant (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap limiting reaction rate backward (bi bi reaction Theorell-Chance) ni
contains ap limiting reaction rate forward (bi bi reaction Theorell-Chance) ni
contains ap Michaelis constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
named after ap Q6775528 ep
description ap "equation for bi bi reaction with Theorell-Chance mechanism with products 1 and 2 following steady state assumption"@en

Michaelis Menten equation (bi bi reaction Theorell-Chance without products - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674509

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap inhibition constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap inhibition constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap limiting reaction rate backward (bi bi reaction Theorell-Chance) ni
contains ap limiting reaction rate forward (bi bi reaction Theorell-Chance) ni
contains ap Michaelis constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
contains ap Michaelis constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for bi bi reaction with Theorell-Chance mechanism without products following steady state assumption"@en

Michaelis Menten equation (uni uni reaction with product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674510

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>b</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow></mfrac></mrow></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction with product following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674336

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap Eadie Hofstee equation (uni uni reaction without product - steady state assumption) ni
linearized by ap Hanes Woolf equation (uni uni reaction without product - steady state assumption) ni
linearized by ap Lineweaver Burk equation (uni uni reaction without product - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product - irreversibility assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674332

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap Eadie Hofstee equation (uni uni reaction without product - irreversibility assumption) ni
linearized by ap Hanes Woolf equation (uni uni reaction without product - irreversibility assumption) ni
linearized by ap Lineweaver Burk equation (uni uni reaction without product - irreversibility assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product following irreversibility assumption"@en

Michaelis Menten equation (uni uni reaction without product - rapid equilibrium assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674334

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap Eadie Hofstee equation (uni uni reaction without product - rapid equilibrium assumption) ni
linearized by ap Hanes Woolf equation (uni uni reaction without product - rapid equilibrium assumption) ni
linearized by ap Lineweaver Burk equation (uni uni reaction without product - rapid equilibrium assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product following rapid equilibrium assumption"@en

Michaelis Menten equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674315

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap Dixon equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
linearized by ap Eadie Hofstee equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
linearized by ap Hanes Woolf equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
linearized by ap Lineweaver Burk equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product and competitive complete inhibition following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product and competitive partial inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674494

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product and competitive partial inhibition following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674317

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap Dixon equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
linearized by ap Eadie Hofstee equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
linearized by ap Hanes Woolf equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
linearized by ap Lineweaver Burk equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product and mixed partial inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674495

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>I</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>I</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product and mixed partial inhibition following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674319

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap Dixon equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
linearized by ap Eadie Hofstee equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
linearized by ap Hanes Woolf equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
linearized by ap Lineweaver Burk equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product and non-competitive partial inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674496

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>I</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>I</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product and non-competitive partial inhibition following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674321

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap Dixon equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
linearized by ap Eadie Hofstee equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
linearized by ap Hanes Woolf equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
linearized by ap Lineweaver Burk equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en

Michaelis Menten equation (uni uni reaction without product and uncompetitive partial inhibition - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674497

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>I</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi><mo>,</mo><mi>I</mi><mo>,</mo><mi>f</mi></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "equation for uni uni reaction without product and uncompetitive partial inhibition following steady state assumption"@en

microbiologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775642

belongs to
academic discipline c
has facts
Wikidata QID ap "Q7193"@en
Description (long) ap "Microbiology is the scientific study of microorganisms, including bacteria, viruses, fungi, and other microscopic life forms. It explores their structure, function, ecology, and roles in health, disease, and the environment. The discipline connects fundamental biology with applications in medicine, biotechnology, and industry."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap bacterial growth ni
image ap Agar%20plate%20with%20colonies.jpg ep
description ap "study of microscopic organisms"@en

minimum frequency of lineni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823138

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "minimum frequency of line in public transport planning"@en

minimum temperatureni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821268

belongs to
quantity c
has facts
Wikidata QID ap "Q9356634"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "lowest temperature observed during the day"@en

mixed enzyme inhibition coupling condition (uni uni reaction)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674511

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub><mo stretchy="false">≠</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "coupling condition for a mixed enzyme inhibition in an uni uni reaction"@en

mixed quantum-classical dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675431

belongs to
mathematical model c
has facts
described at URL ap Mixed quantum classical dynamics ep
Wikidata QID ap "Q65091550"@en
Description (long) ap "Used to describe the dynamics of a system comprising of light/fast and heavy/slow particles where the classical approximation can be only justified for the latter ones, as is usually the case in molecular dynamics. There, non-adiabatic transitions of the quantum subsystem (usually electrons) can be triggered by dynamics of the classical subsystem (usually nuclei) and vice versa. Note that the many different approaches to quantum-classical dynamics, most notably surface hopping trajectories simulations, differ in the way how the nonadiabatic transition probabilities are calculated."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap initial condition for momentum ni
contains ap initial condition for position ni
contains ap initial condition for quantum state ni
contains ap classical dynamics model ni
contains ap quantum model (closed system) ni
assumes ap quantum-classical mass separation ni
specialized by ap fewest switches surface hopping 1 ni
specialized by ap fewest switches surface hopping 2 ni
specialized by ap mean-field Ehrenfest ni
related URL ap https://qcmd.info ep
related URL ap Q65091550 ep
described by source ap Q6775315 ep
described by source ap Q6775318 ep
described by source ap Q6775323 ep
image ap Na mqc scheme.jpg ep
description ap "hybrid quantum-classical model for a system with fast and slow degrees of freedom"@en

mobility of electron energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775689

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "coefficient for the drift of electron energy in a plasma"@en

mobility of electronsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673948

belongs to
quantity c
has facts
Description (long) ap "For use in semiconductor physics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap mobility of holes ni
description ap "magnitude of the drift velocity of electrons per unit electric field"@en

mobility of holesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673949

belongs to
quantity c
has facts
Description (long) ap "For use in semiconductor physics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measure of how easily holes can move through the material under the influence of an electric field"@en

model order reductionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684608

belongs to
computational task c
has facts
described at URL ap Model order reduction ep
Wikidata QID ap "Q12202921"@en
Description (long) ap "After spatial discretization of PDEa, solving the resulting large-scale systems of ODEs can therefore become incredibly time-consuming. Developed from well established mathematical theory and robust numerical algorithms, Model Order Reduction (MOR) has been recognized as very efficient for reducing the simulation time of large-scale systems."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
specialized by ap balanced truncation ni
specialized by ap balanced truncation (linear) ni
specialized by ap balanced truncation (bi-linear) ni
specialized by ap H2 optimal approximation (bi-linear) ni
specialized by ap H2 optimal approximation ni
specialized by ap H2 optimal approximation (linear) ni
related URL ap Main Page ep
described by source ap Q6672316 ep
description ap "technique in mathematical modeling to effectively reduce the dimensionality of a model"@en

molar gas constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775778

belongs to
quantity c
has facts
described at URL ap Gas constant ep
Wikidata QID ap "Q182333"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap Boltzmann constant ni
image ap Heating gas at constant pressure and constant volume.svg ep
description ap "physical constant; the molar equivalent to the Boltzmann constant"@en

molecular alignmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674474

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mo stretchy="false">=</mo><mo stretchy="false">⟨</mo><mi>ψ</mi><mo stretchy="false">|</mo><msup><mi>cos</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>θ</mi><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
Description (long) ap "Typically achieved by the interaction of induced dipole moments with external laser fields."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "expectation value indicating in how far molecular axes are parallel to space fxed axes"@en

molecular dynamics simulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684645

belongs to
research problem c
has facts
described at URL ap Molecular dynamics ep
Wikidata QID ap "Q901663"@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap classical dynamics model ni
modelled by ap Brownian dynamics ni
modelled by ap Langevin dynamics ni
modelled by ap quantum model (closed system) ni
modelled by ap mixed quantum-classical dynamics ni
modelled by ap quantum model (open system) ni
specialized by ap molecular reaction dynamics ni
description ap "physical movements of atoms and molecules in a gas, a liquid, a solid, etc"@en

molecular orientationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674475

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>O</mi><mo stretchy="false">=</mo><mo stretchy="false">⟨</mo><mi>ψ</mi><mo stretchy="false">|</mo><mi>cos</mi><mo>&#x2061;</mo><mi>θ</mi><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
Description (long) ap "Typically achieved by the interaction of permanent dipole moments with external electrostatic fields."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "expectation value indicating in how far molecular axes point in the same direction as space fxed axes"@en

molecular physicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684710

belongs to
academic discipline c
has facts
described at URL ap Molecular physics ep
Wikidata QID ap "Q489328"@en
Description (long) ap "Significant overlaps with physical chemistry, chemical physics, and quantum chemistry."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap molecular dynamics simulation ni
contains ap molecular reaction dynamics ni
contains ap molecular spectroscopy (transient) ni
contains ap molecular rotation ni
contains ap molecular spectroscopy ni
contains ap molecular spectrosopy (stationary) ni
contains ap molecular vibration ni
image ap Thermally%20 Agitated%20 Molecule.gif ep
subclass of ap Q58571 ep
description ap "study of the physical properties of molecules and chemical reactions"@en

molecular reaction dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684646

belongs to
research problem c
has facts
Description (long) ap "Although there were first attempts in the 1930s (first trajectory calculations for H+H2 reaction calculated by Polanyi in Berlin-Dahlem), this field has strongy evolved since the 1970s and 1980s with the upcoming of short laser pulses."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap classical dynamics model ni
modelled by ap quantum model (closed system) ni
modelled by ap mixed quantum-classical dynamics ni
modelled by ap quantum model (open system) ni
related URL ap summary ep
related URL ap summary ep
description ap "branch of physical chemistry that deals with observing and understang chemical reactions in real time and on an atomistic basis"@en

molecular rotationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684675

belongs to
research problem c
has facts
described at URL ap Molek% C3% B Clrotation ep
Wikidata QID ap "Q1234926"@en
Description (long) ap "Often, molecules are assumed to rotate like rigid bodies, but there can also be centrifugal distortion."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap linear rotor (non-rigid) ni
modelled by ap linear rotor (apolar) ni
modelled by ap linear rotor (polar) ni
modelled by ap linear rotor (combined) ni
modelled by ap symmetric top (combined) ni
related URL ap Rotational spectroscopy ep
description ap "rotation of a molecule about its center of mass"@en

molecular spectroscopyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684676

belongs to
research problem c
has facts
Wikidata QID ap "Q1943412"@en
Description (long) ap "Rotations are collective motions of the atomic nuclei and typically lead to spectra in the microwave and millimeter-wave spectral regions. Vibrations are relative motions of the atomic nuclei and are studied by both infrared and Raman spectroscopy. Electronic excitations are studied using visible and ultraviolet spectroscopy as well as fluorescence spectroscopy."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap molecular spectroscopy (transient) ni
specialized by ap molecular rotation ni
specialized by ap molecular spectrosopy (stationary) ni
specialized by ap molecular vibration ni
description ap "measurement (or simulation) of interactions between electromagnetic waves and matter"@en

molecular spectroscopy (transient)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684647

belongs to
research problem c
has facts
Description (long) ap "This discipline evolved since the 1980s, with the upcoming of pico-second, femto-second and eventually even atto-second laser pulses."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap control system ni
modelled by ap control system model (bilinear) ni
modelled by ap classical dynamics model ni
modelled by ap quantum model (closed system) ni
modelled by ap mixed quantum-classical dynamics ni
modelled by ap quantum model (open system) ni
description ap "observing molecular dynamics by spectroscopy in real time"@en

molecular spectrosopy (stationary)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684677

belongs to
research problem c
has facts
Description (long) ap "For example, molecular vibrational states can be detected by infrared or Raman spectroscopy."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap classical dynamics model ni
modelled by ap quantum model (closed system) ni
modelled by ap mixed quantum-classical dynamics ni
modelled by ap quantum model (open system) ni
description ap "studying molecular energy levels by stationary, i.e. time-independent molecular spectrosopy"@en

molecular vibrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684678

belongs to
research problem c
has facts
described at URL ap Molecular vibration ep
Wikidata QID ap "Q900121"@en
Description (long) ap "Often modeled within the harmonic approximation, but there can be also effects of anharmonicity."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap normal mode ni
modelled by ap normal mode (anharmonic) ni
modelled by ap normal mode (harmonic) ni
modelled by ap normal mode (intermolecular) ni
modelled by ap mathematical pendulum model (small angle) ni
modelled by ap mathematical pendulum model ni
modelled by ap mathematical pendulum model (small angle, damped) ni
modelled by ap mathematical pendulum model (small angle, damped, driven) ni
description ap "periodic motion of the atoms of a molecule around their equilibrium positions"@en

molecularityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674057

belongs to
quantity c
has facts
described at URL ap Molecularity ep
Wikidata QID ap "Q776329"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of reactant molecular entities that are involved in the 'microscopic chemical event' constituting an elementary reaction"@en

momentumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673706

belongs to
quantity kind c
has facts
described at URL ap Momentum ep
Wikidata QID ap "Q41273"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Momentum"@en
specialized by ap particle momentum ni
specialized by ap relativistic momentum ni
image ap Billard. J P G ep
description ap "conserved physical quantity related to the motion of a body"@en

momentum balance equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674325

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><mi>σ</mi><mo stretchy="false">−</mo><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "These equations are known as the momentum balance equations because the momentum fluxes are balanced by body and surface forces."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "in the theory of elasticity, the conservation of momentum can also be written in vector form"@en

momentum operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674110

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">≡</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi alternate="1">ℏ</mi><mi mathvariant="normal">∇</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Quantum mechanical ep
related URL ap Q692457 ep
description ap "in the coordinate representation of quantum mechanics, the momentum of a particle is represented by this operator"@en

monetary costni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673709

belongs to
quantity kind c
has facts
Wikidata QID ap "Q240673"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap costs of line concept ni
specialized by ap costs per unit ni
specialized by ap fixed costs ni
related URL ap Cost ep
description ap "value of money required for e.g. producing, buying or running something"@en

Monod constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775648

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6775763 ep
description ap "concentration at which the growth rate is half the maximum growth rate"@en

Monod equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775644

belongs to
mathematical model c
has facts
Wikidata QID ap "Q1944979"@en
Description (long) ap "The Monod model explains how the specific growth rate of microorganisms depends on the availability of a limiting nutrient. It shows that the specific growth rate increases with nutrient concentration but eventually levels off when the microorganisms reach their maximum specific growth rate."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Monod equation) ni
community ap Q6534265 ep
contains ap Monod specific growth rate equation ni
similar to ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
described by source ap Q2193183 ep
described by source ap Q4672188 ep
described by source ap Q6775649 ep
described by source ap Q6830547 ep
described by source ap Q6830548 ep
described by source ap Q6830550 ep
named after ap Q6775763 ep
description ap "Empirical model for microorganisms growth"@en

Monod specific growth rate equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775651

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775763 ep
description ap "describes the specific growth rate of microorganisms based on nutrient concentration"@en

monodomain equation for action potential propagationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674596

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi><mi mathvariant="normal">o</mi><mi mathvariant="normal">n</mi></mrow></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">e</mi><mi mathvariant="normal">f</mi><mi mathvariant="normal">f</mi></mrow></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">m</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">f</mi></mrow></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msubsup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow></msub></mrow></mfrac></mrow><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>eff</mtext></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ion</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msubsup><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>S</mi><mo stretchy="false">(</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>s</mtext></mrow></mrow></msubsup><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.5em"></mspace><mrow data-mjx-texclass="ORD"><mtext>in</mtext></mrow><mspace width="0.5em"></mspace><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Describes the evelution of the transmembrane potential at each sacomeres location i.e. the propagation of the action potential."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "the evelution of the transmembrane potential at each sacomeres location"@en

MOR transformation matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673779

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "transformation matrix, to be applied to the input-output formulation of linear or bilinear control systems"@en

morphogenni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775375

belongs to
quantity c
has facts
described at URL ap Morphogen ep
Wikidata QID ap "Q417084"@en
Description (long) ap "Subscript denotes the compartment."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "molecules of Morphogen in the Standard Compartment-Based Morphogen Gradient Model"@en

mortality modelingni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684653

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Gamma-Gompertz-Makeham model ni
related URL ap Mortality forecasting ep
description ap "science of determining likely future mortality rates"@en

motor neuron pool modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675437

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap motor neuron pool ODE system ni
described by source ap Q6668629 ep
description ap "mathematical model of neuromuscular system based on the agonist-antagonist myoneural interface"@en

motor neuron pool ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674513

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>C</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ext</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ion</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>spindle</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow></mrow></msubsup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ion</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow></mrow></msubsup><mo stretchy="false">(</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow></mrow></msubsup><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>C</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow></mrow></msubsup><mo stretchy="false">(</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow></mrow></msubsup><mo>,</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>s</mtext></mrow></mrow></msubsup><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>s</mtext></mrow></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>s</mtext></mrow></mrow></msubsup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ion</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>s</mtext></mrow></mrow></msubsup><mo stretchy="false">(</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>s</mtext></mrow></mrow></msubsup><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>C</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>s</mtext></mrow></mrow></msubsup><mo stretchy="false">(</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow></mrow></msubsup><mo>,</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>s</mtext></mrow></mrow></msubsup><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>spindle</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub><mo>,</mo><msub><mover><mi>λ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ext</mtext></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "Transmembrane potentials in the soma and the dendrite compartments."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "two coupled ODEs which describe the transmembrane potentials"@en

multi grid reaction diffusion master equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775480

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mo stretchy="false" mathvariant="double-struck">(</mo></mrow><mi>n</mi><mo stretchy="false">)</mo><mo>,</mo><mrow data-mjx-texclass="ORD"><mo stretchy="false" mathvariant="double-struck">(</mo></mrow><mi>m</mi><mo stretchy="false">)</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒟</mi></mrow><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>p</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒟</mi></mrow><mo>~</mo></mover><mo stretchy="false">+</mo><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo>~</mo></mover><mo stretchy="false">)</mo><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Dividing by γ in the second term of the generalized reaction operator definition can be interpreted as a sum of γ reactions Aⱼ → Bᵢ that share the rate k₂."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

multi-population discrete susceptible infectious modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675385

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap condition for positive solutions in the multi-population SI model ni
contains ap infectious at time step n+1 in the multi-population SI model ni
contains ap initial condition for the multi-population SI model ni
contains ap susceptibles at time step n +1 in the discrete multi population SI model ni
description ap "discrete-time multi-population susceptible infectious model"@en

multilayer Jovanovic equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821059

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>J</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>J</mi><mo>,</mo><mi>m</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>J</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>J</mi><mo>,</mo><mi>m</mi></mrow></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Jovanovic equation ni
description ap "nonlinear multilayer adsorption equation"@en

multipole expansionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675438

belongs to
mathematical model c
has facts
described at URL ap Multipole expansion ep
Wikidata QID ap "Q1027847"@en
Description (long) ap "Multipole expansions are often used to represent electromagnetic fields, where the fields at distant points are given in terms of sources (charges and/or currents) in a small region (far field limit). The first term is called the monopole moment, the second term is called the dipole moment, the third term the quadrupole moment, etc."@en
MaRDI profile type ap Q6534270 ep
used by ap far field radiation ni
community ap Q6534265 ep
contains ap spherical harmonics expansion (3D) ni
description ap "mathematical series approximating an angle-dependent function"@en

muscle contractionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684643

belongs to
research problem c
has facts
described at URL ap Muscle contraction ep
Wikidata QID ap "Q127006"@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap electrophysiological muscle model ni
modelled by ap Hill-type two-muscle-one-tendon model ni
modelled by ap sensory organ model ni
description ap "process in which force is generated within muscle tissue, resulting in a change in muscle geometry"@en

muscle contraction velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673732

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "muscle contraction velocity (quantity)"@en

muscle lengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673733

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "length of a muscle"@en

muscle spindle firing rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674072

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "frequency at which sensory neurons within the muscle spindle transmit signals to the central nervous system"@en

Navier-Stokes equationsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674515

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">−</mo><mi>ν</mi><msup><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></mfrac></mrow><mi mathvariant="normal">∇</mi><mi>h</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
described at URL ap Navier% E2%80%93 Stokes equations ep
Wikidata QID ap "Q201321"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Stokes equation ni
specialized by ap stationary Navier-Stokes equations ni
related URL ap num cfd 1.pdf ep
named after ap Q1515766 ep
named after ap Q6775533 ep
description ap "system of nonlinear partial differential equations describing the motion of viscous fluids"@en

near field radiationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684609

belongs to
computational task c
has facts
Description (long) ap "The near field is a region of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Non-radiative near-field behaviors dominate close to the antenna or scatterer."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
related URL ap Near field optics ep
related URL ap Near and far field ep
related URL ap Q6984336 ep
description ap "electromagnetic radiation behaviors that predominate at shorter distances"@en

Neumann boundary condition (SEIR model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674518

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo stretchy="false">+</mo><mi>e</mi><mo stretchy="false">+</mo><mi>i</mi><mo stretchy="false">+</mo><mi>r</mi><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"@en
Description (long) ap "Homogeneous Boundary Condition for the Full-PDe SEIR Model ensure that all the fractions of the population densities of susceptibles, exposed, infectious and removed add up to 1 at all times."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1458150 ep
description ap "boundary condition"@en

Neumann boundary condition (stress-free relaxation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674326

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>σ</mi><mo stretchy="false">−</mo><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">⋅</mo><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1458150 ep
description ap "Neumann boundary condition in theory of elasticity (stress-free relaxation)"@en

Neumann boundary condition for electric potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534333

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mi>ψ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1458150 ep
description ap "typically used to indicate that the electric field should be perpendicalar to an electrode interface"@en

Neumann boundary condition for electron Fermi potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674322

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1458150 ep
named after ap Q561497 ep
description ap "Neumann boundary condition for the Fermi potential governing the electrons"@en

Neumann boundary condition for hole Fermi potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674323

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1458150 ep
named after ap Q561497 ep
description ap "Neumann boundary condition for the Fermi potential governing the holes"@en

Neumann boundary condition in thermodynamic equilibriumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7284046

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mrow data-mjx-texclass="ORD"><mi>𝝂</mi></mrow><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐫</mi></mrow><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><msub><mi>Γ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "Neumann boundary condition for electrostatic potential in thermodynamic equilibrium"@en

neural firing rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674073

belongs to
quantity c
has facts
Wikidata QID ap "Q71762818"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap muscle spindle firing rate ni
related URL ap Neural firing rate ep
description ap "average number of electrical impulses, or spikes, a neuron generates per unit of time"@en

neural inputni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674070

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "neural input in a motor neuron pool model"@en

Newton second law of motion for constant massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674260

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi mathvariant="normal">d</mi><mrow data-mjx-texclass="ORD"><mn mathvariant="normal">2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mover><mi>q</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">=</mo><mover><mi>F</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo lspace="0" rspace="0">/</mo><mi>m</mi></mstyle></mrow></math>"@en
Wikidata QID ap "Q2397319"@en
Description (long) ap "When a body is acted upon by a force, the time rate of change of its momentum equals the force."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap Verlet integration ni
specialized by ap heavy particle Newton equation ni
related URL ap Newton's laws of motion ep
named after ap Q6480703 ep
description ap "fundamental equation in classical mechanics that describe the motion of objects under the influence of forces"@en

nitrogen fixation fractionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822095

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "fraction of nitrogen demand biologically fixed"@en

nitrogen fixation fraction equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822105

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mi>X</mi><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mo>min</mo><mo>&#x2061;</mo><mo stretchy="false">(</mo><mn>1.0</mn><mo>,</mo><mi>F</mi><mi>X</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><mi>F</mi><mi>X</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mi>F</mi><mi>X</mi><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the fraction of plant nitrogen demand that can be met by biological nitrogen fixation. It combines multiple limiting factors representing plant phenology, soil water status, and soil nitrate availability. The fixation fraction is constrained by the most limiting environmental factor and modulated by plant growth stage, representing physiological and environmental controls on symbiotic nitrogen fixation."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "combined environmental fixation limitation"@en

nitrogen fixation growth stage factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822098

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "phenological control of nitrogen fixation"@en

nitrogen fixation soil nitrate factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822097

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "nitrate inhibition of nitrogen fixation"@en

nitrogen fixation soil water factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822096

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "soil moisture control of nitrogen fixation"@en

nitrogen supply by mass flow equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822034

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi><mi>N</mi><mi>O</mi><mn>3</mn></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>W</mi><mi>N</mi><mi>O</mi><msub><mn>3</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation estimates the nitrogen supply from each soil layer based on mass flow of nitrate to plant roots. Nitrogen supply is computed as the product of plant water uptake in the layer and nitrate concentration in soil water. The formulation assumes that nitrate transport to roots is proportional to water flux, reflecting mass flow as the dominant nitrogen transport mechanism. It provides a layer-resolved estimate of potential nitrogen supply from the soil."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "distributes potential nitrogen supply across soil layers by water uptake"@en

nitrogen supply rate in soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822024

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate of nitrogen supply in specific soil layer"@en

nitrogen supply rate of soilni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822027

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate of nitrogen supply in soil"@en

nitrogen uptake rate of plantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822022

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate indicating the uptake of nitrogen by a plant"@en

no cooperativity assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775833

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption of independent binding sites (n = 1) in Hill models"@en

noise strengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673852

belongs to
quantity c
has facts
Description (long) ap "Noise caused by influences, uncertainties in the communication between individuals or free will."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "noise modelling unknown external influences"@en

non-competitive enzyme inhibition coupling condition (uni uni reaction)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674519

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>c</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "coupling condition for a non-competitive enzyme inhibition in an uni uni reaction"@en

non-inhibiting substrate assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775659

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false" accent="false">→</mo><mi mathvariant="normal">∞</mi></mstyle></mrow></math>"@en
Description (long) ap "The inhibition constant defines the substrate concentration at which inhibition of bacterial growth begins to appear. It marks the highest concentration where the Monod relation between growth rate and substrate concentration remains valid. Above this level, additional substrate reduces rather than enhances growth. A large inhibition constant indicates weak inhibition, while a small one indicates strong inhibition."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "substrate assumed to have no inhibitory effect"@en

non-local meansni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674307

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi><mo stretchy="false">(</mo><mi>p</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi><mo stretchy="false">(</mo><mi>p</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi><mo stretchy="false">(</mo><mi>p</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mi>C</mi><mo stretchy="false">(</mo><mi>p</mi><mo stretchy="false">)</mo></mrow></mfrac><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>Ω</mi></mrow></msub><mi>v</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">)</mo><mi>f</mi><mo stretchy="false">(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo stretchy="false">)</mo><mi>d</mi><mi>q</mi></mstyle></mrow></math>"@en
described at URL ap Non local means ep
Wikidata QID ap "Q7048948"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6672287 ep
description ap "algorithm in image processing for image denoising"@en

nonadiabatic molecular dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775632

belongs to
research problem c
has facts
Description (long) ap "Used to describe the dynamics of a system comprising of light/fast and heavy/slow particles where the classical approximation can be only justified for the latter ones, as is usually the case in molecular dynamics. There, non-adiabatic transitions of the quantum subsystem (usually electrons) can be triggered by dynamics of the classical subsystem (usually nuclei) and vice versa. Note that the many different approaches to quantum-classical dynamics, most notably surface hopping trajectories simulations, differ in the way how the nonadiabatic transition probabilities are calculated."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap mixed quantum-classical dynamics ni
related URL ap https://qcmd.info ep
related URL ap Mixed quantum classical dynamics ep
related URL ap Q65091550 ep
described by source ap Q6775315 ep
described by source ap Q6775318 ep
described by source ap Q6775323 ep
image ap Na mqc scheme.jpg ep
description ap "molecular dynamics simulations including nonadiabatic transitions"@en

nonlinear parameter estimation (Andrews model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775655

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental data for substrate concentration and specific growth rate. The objective is to determine the maximum specific growth rate, inhibition constant and Monod constant by fitting the model to the data."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap substrate concentration ni
contains ap specific growth rate ni
contains ap maximum specific growth rate ni
contains ap Monod constant ni
contains ap inhibition constant (Andrews) ni
contains ap Andrews specific growth rate equation ni
description ap "Andrews Model"@en

nonlinear parameter estimation (Baudu model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821349

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using adsorption equilibrium data to fit the Baudu isotherm model. The objective is to estimate the reference monolayer capacity, reference affinity constant, and the two empirical exponents describing their concentration dependence. The nonlinear fitting approach preserves the intrinsic structure of the Baudu equation and avoids bias introduced by linearization. The resulting parameters quantify surface heterogeneity and explain deviations from constant Langmuir behavior over wide concentration ranges."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Baudu monolayer adsorption capacity ni
contains ap Baudu affinity constant ni
contains ap Baudu affinity exponent ni
contains ap Baudu capacity exponent ni
contains ap Baudu denominator exponent constraint ni
contains ap Baudu numerator exponent constraint ni
contains ap Baudu adsorption equation ni
specialized by ap linear parameter estimation (Freundlich isotherm) ni
description ap "nonlinear estimation of Baudu isotherm parameters"@en

nonlinear parameter estimation (Dubinin-Radushkevich model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821130

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using equilibrium adsorption data to determine the theoretical Dubinin-Radushkevich isotherm saturation capacity and the Dubinin-Radushkevich isotherm constant . The nonlinear Dubinin-Radushkevich equation is fitted directly to equilibrium adsorption values determined by experimental adsorption measurements, using the Polanyi potential to capture the effective adsorption work. Because the Dubinin-Radushkevich model is temperature-dependent, it can consolidate multi-temperature data into a single characteristic curve that describes micropore filling behavior."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Dubinin-Radushkevich equation ni
contains ap Dubinin-Radushkevich theoretical isotherm saturation capacity ni
contains ap Dubinin-Radushkevich isotherm constant ni
description ap "nonlinear estimation of Dubinin-Radushkevich parameters"@en

nonlinear parameter estimation (Dubinin–Astakhov model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821326

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using equilibrium adsorption data to determine the theoretical Dubinin–Astakhov isotherm saturation capacitythe, Dubinin–Astakhov isotherm constant, and the Dubinin–Astakhov heterogeneity exponent. The nonlinear Dubinin–Astakhov equation is fitted directly to equilibrium adsorption values determined by experimental adsorption measurements, using the Polanyi potential to capture the effective adsorption work. Because the Dubinin–Astakhov model is temperature-dependent, it can consolidate multi-temperature data into a single characteristic curve that describes micropore filling behavior."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Dubinin-Astakhov theoretical isotherm saturation capacity ni
contains ap Dubinin-Astakhov heterogeneity exponent ni
contains ap Dubinin-Astakhov isotherm constant ni
contains ap Dubinin-Astakhov equation ni
specialized by ap nonlinear parameter estimation (Dubinin-Radushkevich model) ni
description ap "nonlinear estimation of Dubinin–Astakhov isotherm parameters"@en

nonlinear parameter estimation (Elovich isotherm)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775816

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Elovich equilibrium constant and the Elovich maximum adsorption capacity by fitting the original nonlinear Elovich isotherm directly to measured equilibrium concentration and adsorbed amount data. Nonlinear regression avoids the distortions introduced by logarithmic transformation and generally provides more accurate estimates of both parameters. The resulting parameter values characterize adsorption affinity and the heterogeneous, energy-dependent adsorption behavior represented by the empirical Elovich model."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap Elovich isotherm equation ni
contains ap Elovich equilibrium constant ni
linearized by ap linear parameter estimation (Elovich isotherm) ni
description ap "nonlinear estimation of Elovich adsorption parameters from equilibrium data"@en

nonlinear parameter estimation (Emax model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775842

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation for the non-cooperative Emax dose–response model. It determines the maximal effect and the half-maximal effective concentration by directly fitting the nonlinear Emax equation to measured concentration–response data. Nonlinear regression avoids the biases associated with linearized transformations and provides accurate estimates of potency and maximal efficacy. The resulting parameters characterize the saturation behavior of the system and the sensitivity of the response to changing concentrations. This approach is widely used in pharmacology and toxicology to quantify drug action under non-cooperative conditions."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap Emax equation ni
contains ap observed response ni
contains ap half maximal effective concentration ni
contains ap drug concentration ni
contains ap maximal response ni
description ap "nonlinear estimation of Emax model parameters"@en

nonlinear parameter estimation (Flory-Huggins model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820982

belongs to
computational task c
has facts
Description (long) ap "This task fits the nonlinear Flory–Huggins equation to adsorption data to estimate the Flory–Huggins equilibrium constant and the occupancy number. It uses experimental initial and equilibrium concentrations and measured uptake to directly obtain parameter estimates without data linearization. The outputs quantify the effective site occupancy per adsorbate and the equilibrium parameter used to evaluate spontaneity."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial solute concentration ni
contains ap Flory-Huggins equilibrium parameter ni
contains ap Flory-Huggins occupancy number ni
contains ap degree of surface coverage ni
contains ap Flory-Huggins equation ni
linearized by ap linear parameter estimation (Flory-Huggins model) ni
named after ap Q6820990 ep
named after ap Q6820991 ep
description ap "nonlinear estimation of Flory–Huggins parameters"@en

nonlinear parameter estimation (Fowler-Guggenheim isotherm model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820963

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using adsorption equilibrium data to determine the Fowler–Guggenheim equilibrium constant and the interaction energy. The nonlinear Fowler–Guggenheim equation is fitted directly to fractional coverage and concentration data, capturing the effect of lateral interactions among adsorbed molecules. The results quantify both adsorption affinity and the magnitude of intermolecular interactions. This provides an accurate description of systems where adsorption behavior depends on the occupancy of neighboring sites."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap fractional surface coverage ni
contains ap Fowler-Guggenheim equilibrium constant ni
contains ap interaction energy ni
contains ap Fowler-Guggenheim equation ni
linearized by ap linear parameter estimation (Fowler-Guggenheim isotherm model) ni
named after ap Q2595344 ep
named after ap Q561111 ep
description ap "nonlinear estimation of Fowler–Guggenheim parameters"@en

nonlinear parameter estimation (Fritz-Schlunder 3-parameter model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821186

belongs to
computational task c
has facts
Description (long) ap "This task concerns the nonlinear estimation of parameters in the Fritz–Schlunder 3-parameter isotherm model. The parameters are determined by fitting the model to equilibrium adsorption data using nonlinear regression techniques. The goal is to identify values that minimize the difference between predicted and observed loadings. The task is typically performed when simpler two-parameter isotherms do not adequately describe the system. Reliable estimation is required for comparing adsorption performance across materials and conditions."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap Fritz-Schlunder 3-parameter equation ni
contains ap Fritz-Schlunder equilibrium constant ni
contains ap Fritz-Schlunder model exponent ni
description ap "estimation of Fritz–Schlunder model parameters"@en

nonlinear parameter estimation (Fritz-Schlunder 4-parameter model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821190

belongs to
computational task c
has facts
Description (long) ap "The Fritz-Schlunder 4-parameter isotherm model is a highly flexible empirical equation used to fit adsorption data across wide concentration ranges. It introduces two exponents to capture complex heterogeneity of adsorption sites. The model is especially useful for systems that deviate strongly from classical isotherms and require additional curvature control. Although it has no mechanistic interpretation, it provides accurate empirical correlations. It is frequently applied in advanced adsorption system characterization."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Fritz-Schlunder 4-parameter equation ni
contains ap Fritz-Schlunder exponents constraint ni
contains ap Fritz-Schlunder constant A ni
contains ap Fritz-Schlunder constant B ni
contains ap Fritz-Schlunder exponent a ni
contains ap Fritz-Schlunder exponent b ni
specialized by ap linear parameter estimation (Freundlich isotherm) ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
description ap "estimation of Fritz-Schlunder model parameters"@en

nonlinear parameter estimation (Fritz-Schlunder 5-parameter model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821194

belongs to
computational task c
has facts
Description (long) ap "This task concerns fitting the five parameters of the FritzSchlunder 5-parameter isotherm to experimental adsorption data. The model’s high flexibility allows it to capture complex adsorption behavior but requires robust nonlinear optimization to avoid parameter correlation. The estimation involves adjusting the saturation capacity, two constants, and two exponents simultaneously. It is used when adsorption systems exhibit unusual heterogeneity or curvature not representable by simpler models. Accurate parameters enable detailed empirical characterization of challenging adsorption systems."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap Fritz-Schlunder exponents constraint ni
contains ap Fritz-Schlunder 5-parameter equation ni
contains ap Fritz-Schlunder constant A ni
contains ap Fritz-Schlunder constant B ni
contains ap Fritz-Schlunder exponent a ni
contains ap Fritz-Schlunder exponent b ni
description ap "estimation of Fritz-Schlunder model parameters"@en

nonlinear parameter estimation (Frumkin model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821333

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Frumkin equilibrium constant and the lateral interaction parameter by fitting the nonlinear Frumkin isotherm equation to measured solute concentration and fractional surface coverage data. The task captures deviations from ideal Langmuir behavior arising from attractive or repulsive interactions among adsorbed molecules. Nonlinear fitting preserves the thermodynamic structure of the model and avoids distortions introduced by linearization. The resulting parameters characterize both adsorption affinity and interaction effects on the adsorbent surface."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap fractional surface coverage ni
contains ap Frumkin equilibrium constant ni
contains ap Frumkin interaction parameter ni
contains ap Frumkin adsorption equation ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
description ap "nonlinear estimation of Frumkin isotherm parameters"@en

nonlinear parameter estimation (Hill adsorption model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775832

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using equilibrium adsorption data applied to the Hill adsorption model. It determines the Hill adsorption constant, the maximum adsorption capacity, and the cooperativity exponent by directly fitting the nonlinear Hill isotherm to solute concentration and adsorbed-amount measurements. Nonlinear regression avoids structural distortions introduced by linearized forms and ensures accurate estimation of parameters across cooperative and non-cooperative regimes. The resulting parameters quantify adsorption affinity, surface saturation behavior, and cooperative interactions among adsorbed species. This approach is commonly used in environmental and materials science to analyze sigmoidal adsorption equilibria."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Hill isotherm equation ni
contains ap Hill coefficient ni
contains ap Hill constant ni
contains ap Hill theoretical isotherm saturation capacity ni
named after ap Q3116516 ep
description ap "nonlinear estimation of Hill adsorption model parameters"@en

nonlinear parameter estimation (Hill binding model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775845

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation for the Hill binding model using equilibrium ligand-binding data. It determines the Hill binding constant, maximal occupancy, and the cooperativity exponent by fitting the nonlinear Hill binding equation directly to free-ligand concentrations and fractional binding measurements. Nonlinear regression avoids artifacts from linearization and produces accurate estimates across cooperative, non-cooperative, and anti-cooperative regimes. The resulting parameters quantify binding affinity, saturation behavior, and the degree of cooperative interaction among binding sites. This method is commonly applied in biochemistry, molecular biology, and systems biology to study cooperative ligand–macromolecule interactions."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap Hill equation ni
contains ap Hill coefficient ni
contains ap half saturation constant (Hill kinetics) ni
contains ap ligand concentration ni
contains ap fractional occupancy ni
named after ap Q3116516 ep
description ap "nonlinear estimation of Hill binding model parameters"@en

nonlinear parameter estimation (Hill dose-response model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775839

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using dose–response data based on the Hill dose–response model. It estimates the maximal system response, the half-maximal concentration, and the cooperativity exponent by fitting the nonlinear sigmoidal Hill equation directly to observed concentration–effect measurements. Nonlinear regression eliminates distortions from linear transformations and yields robust estimates across a wide range of cooperative behaviors. The resulting parameters describe drug efficacy, potency, and the steepness of the dose–response relationship. This approach is widely used in pharmacology, toxicology, and pharmacokinetic–pharmacodynamic modeling."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap Hill dose-response equation ni
contains ap Hill coefficient ni
contains ap observed response ni
contains ap half maximal effective concentration ni
contains ap drug concentration ni
contains ap maximal response ni
named after ap Q3116516 ep
description ap "nonlinear estimation of Hill dose–response model parameters"@en

nonlinear parameter estimation (Hill enzyme kinetics model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775836

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation for the Hill enzyme-kinetics model using initial reaction-rate data. It determines the maximal catalytic rate, the Hill kinetic constant, and the cooperativity exponent by fitting the nonlinear Hill velocity equation directly to substrate-concentration and reaction-velocity measurements. Nonlinear regression avoids biases that occur when kinetic data are linearized, producing more accurate parameter estimates for cooperative, allosteric, or multimeric enzymes. The resulting values characterize catalytic efficiency, apparent substrate affinity, and the degree of cooperativity in enzymatic turnover. This method is used in biochemistry and systems biology to analyze non-Michaelis–Menten reaction behavior."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap initial reaction rate ni
contains ap substrate concentration ni
contains ap Hill velocity equation ni
contains ap Hill coefficient ni
contains ap half saturation constant (Hill kinetics) ni
contains ap Hill limiting reaction rate ni
named after ap Q3116516 ep
description ap "nonlinear estimation of Hill enzyme kinetics parameters"@en

nonlinear parameter estimation (Hill-de Boer model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775822

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Hill–de Boer constant and the interaction energy constant by fitting the nonlinear Hill–de Boer equation directly to measured equilibrium concentration and fractional surface coverage data. The results quantify adsorption affinity and the magnitude of lateral interactions between adsorbed molecules without the distortions introduced by linearization. This approach provides a more accurate representation of nonideal adsorption behavior described by the model."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap Hill-de Boer equilibrium constant ni
contains ap Hill-de Boer equation ni
contains ap fractional surface coverage ni
contains ap interaction energy constant ni
linearized by ap linear parameter estimation (Hill-de Boer model) ni
named after ap Q3116516 ep
named after ap Q577036 ep
description ap "Hill-de Boer model"@en

nonlinear parameter estimation (Jossens model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821207

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using adsorption equilibrium data from solution-phase systems. The objective is to determine the Jossens equilibrium constant, interaction coefficient, and heterogeneity exponent by fitting the nonlinear Jossens adsorption equation to measured solute concentration and adsorbed amount data. The fitting preserves the exponential structure of the model and captures energetic heterogeneity of adsorption sites. At low adsorption levels, the task ensures consistency with Henry-type behavior. The estimated parameters characterize both adsorption affinity and the distribution of surface interaction energies."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Jossens isotherm equation ni
contains ap Jossens heterogeneity exponent constraint ni
contains ap Jossens heterogeneity exponent ni
contains ap Jossens energy parameter ni
contains ap Jossens equilibrium constant ni
specialized by ap linear parameter estimation (Henry's isotherm) ni
description ap "nonlinear estimation of Jossens isotherm parameters"@en

nonlinear parameter estimation (Jovanovic model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821056

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Jovanovic equilibrium constant and the Jovanovic maximum adsorption capacity by directly fitting the nonlinear Jovanovic equation to measured solute concentration and adsorbed amount data. The nonlinear approach avoids distortions introduced by linear transformations and preserves the exponential saturation behavior characteristic of the model. The results describe the adsorption affinity and the gradual approach to saturation predicted by the Jovanovic isotherm."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap Jovanovic equation ni
contains ap Jovanovic constant ni
specialized by ap linear parameter estimation (Henry's isotherm) ni
description ap "nonlinear estimation of Jovanovic model parameters"@en

nonlinear parameter estimation (Jovanovic multilayer model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821060

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using equilibrium adsorption data. The objective is to determine the Jovanovic monolayer capacity together with the first-layer and multilayer adsorption constants by directly fitting the nonlinear multilayer Jovanovic equation to measurements of solute concentration and adsorbed amount. Unlike linearized approaches, nonlinear fitting preserves the intrinsic exponential structure of the multilayer model."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap multilayer Jovanovic equation ni
contains ap Jovanovic constant ni
contains ap Jovanovic multilayer constant ni
specialized by ap nonlinear parameter estimation (Jovanovic model) ni
description ap "nonlinear estimation of multilayer Jovanovic model parameters"@en

nonlinear parameter estimation (Khan model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821250

belongs to
computational task c
has facts
Description (long) ap "This task estimates the parameters of the Khan isotherm model by nonlinear regression using equilibrium adsorption data. Experimental measurements of equilibrium adsorbed amount and equilibrium concentration are fitted to the Khan equation to determine the maximum adsorption capacity, affinity constant, and heterogeneity exponent. The fitting process minimizes the deviation between observed and predicted adsorption values across the concentration range. The resulting parameters characterize adsorption capacity, surface affinity, and heterogeneity of the adsorbent. This task is commonly applied in adsorption studies of aqueous pollutants and organic solutes."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Khan theoretical isotherm saturation capacity ni
contains ap Khan affinity parameter ni
contains ap Khan heterogeneity exponent ni
contains ap Khan heterogeneity exponent constraint ni
contains ap Khan isotherm equation ni
specialized by ap linear parameter estimation (Freundlich isotherm) ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
description ap "nonlinear fitting of Khan isotherm parameters"@en

nonlinear parameter estimation (Kiselev model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820971

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using adsorption equilibrium data to determine the Kiselev equilibrium constant and the complex formation constant. The nonlinear Kiselev equation is fitted directly to coverage and concentration values to capture the formation of complexes between adsorbed molecules. The results quantify adsorption affinity and the strength of lateral associative interactions. This method avoids potential distortions caused by linearization."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap fractional surface coverage ni
contains ap Kiselev equilibrium constant ni
contains ap complex formation constant ni
contains ap Kiselev equation ni
linearized by ap linear parameter estimation (Kiselev model) ni
named after ap Q6820992 ep
description ap "nonlinear estimation of Kiselev model parameters"@en

nonlinear parameter estimation (Koble-Corrigan model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821222

belongs to
computational task c
has facts
Description (long) ap "This task involves nonlinear regression of equilibrium adsorption data to estimate the parameters of the Koble-Corrigan isotherm model. Experimental measurements of equilibrium adsorbed amount and solute concentration are fitted to the model equation. The fitting procedure determines the constants, which control adsorption capacity and saturation behavior, as well as the heterogeneity exponent. The task is commonly used when adsorption occurs on heterogeneous surfaces and cannot be adequately described by simpler Langmuir or Freundlich models alone."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Koble-Corrigan constant A ni
contains ap Koble-Corrigan constant B ni
contains ap Koble-Corrigan heterogeneity exponent ni
contains ap Koble-Corrigan heterogeneity exponent constraint ni
contains ap Koble-Corrigan isotherm equation ni
specialized by ap linear parameter estimation (Freundlich isotherm) ni
specialized by ap linear parameter estimation (Henry's isotherm) ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
description ap "nonlinear estimation of hybrid isotherm parameters"@en

nonlinear parameter estimation (Langmuir adsorption model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775767

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Langmuir adsorption constant and maximum monolayer adsorption capacity by fitting the nonlinear Langmuir equation directly to measured solute concentration and adsorbed amount data. The results quantify the adsorption affinity and monolayer capacity of the adsorbent without bias from linearization."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Langmuir adsorption constant ni
contains ap maximum monolayer adsorption capacity ni
contains ap Langmuir equation ni
linearized by ap linear parameter estimation (Langmuir adsorption model) ni
named after ap Q74562 ep
description ap "Langmuir adsorption model"@en

nonlinear parameter estimation (Monod equation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775645

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental data for substrate concentration and specific growth rate. The objective is to determine the maximum specific growth rate and Monod constant by fitting the model to the data."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap substrate concentration ni
contains ap specific growth rate ni
contains ap maximum specific growth rate ni
contains ap Monod constant ni
contains ap Monod specific growth rate equation ni
named after ap Q6775763 ep
description ap "Monod equation"@en

nonlinear parameter estimation (Radke-Prausnitz model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821176

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation by fitting the Radke-Prausnitz isotherm to equilibrium adsorption data. The objective is to determine the parameters directly by nonlinear regression."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Radke-Prausnitz equation ni
contains ap Radke-Prausnitz exponent constraint ni
contains ap Radke-Prausnitz parameter a ni
contains ap Radke-Prausnitz parameter b ni
contains ap Radke-Prausnitz exponent ni
specialized by ap linear parameter estimation (Freundlich isotherm) ni
specialized by ap linear parameter estimation (Henry's isotherm) ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
description ap "nonlinear estimation of Radke-Prausnitz parameters"@en

nonlinear parameter estimation (Redlich-Peterson model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821119

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Redlich-Peterson constant, coefficient, and exponent by directly fitting the nonlinear Redlich-Peterson equation to measured solute concentration and adsorbed amount data. Nonlinear regression preserves the full hybrid functional form, allowing the model to transition smoothly between Langmuir-like and Freundlich-like behavior. The resulting parameters quantify adsorption affinity, heterogeneity, and the degree of deviation from ideal monolayer adsorption."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Redlich-Peterson equation ni
contains ap Redlich-Peterson exponent constraint ni
contains ap Redlich-Peterson constant ni
contains ap Redlich-Peterson coefficient ni
contains ap Redlich-Peterson exponent ni
specialized by ap linear parameter estimation (Freundlich isotherm) ni
specialized by ap linear parameter estimation (Henry's isotherm) ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
named after ap Q4760921 ep
named after ap Q6821142 ep
description ap "nonlinear estimation of Redlich-Peterson model parameters"@en

nonlinear parameter estimation (Sips model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821136

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using adsorption equilibrium data. The objective is to determine the Sips maximum adsorption capacity, the Sips equilibrium constant, and the Sips heterogeneity exponent by fitting the nonlinear Sips equation directly to measured solute concentrations and adsorbed amounts. The nonlinear approach preserves the combined Langmuir-Freundlich behavior of the model and avoids distortions introduced by linearization. The results characterize both the adsorption affinity and the degree of surface heterogeneity governing the adsorption process."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap Sips equation ni
contains ap Sips equilibrium constant ni
contains ap Sips heterogeneity exponent ni
specialized by ap linear parameter estimation (Freundlich isotherm) ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
description ap "nonlinear estimation of Sips isotherm parameters"@en

nonlinear parameter estimation (Temkin isotherm model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820956

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using adsorption equilibrium data based on the Temkin isotherm model. It determines the Temkin equilibrium constant and the adsorption-energy variation by fitting the nonlinear Temkin equation directly to measured adsorbate concentrations and fractional coverage values. Nonlinear regression provides unbiased estimates by avoiding distortions introduced through logarithmic linearization. The resulting parameters describe how adsorption energy decreases with increasing surface coverage. This method is commonly applied in environmental chemistry and materials analysis for systems involving significant adsorbate–adsorbent interactions."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap fractional surface coverage ni
contains ap Temkin equilibrium constant ni
contains ap adsorption energy variation ni
contains ap Temkin isotherm equation ni
linearized by ap linear parameter estimation (Temkin isotherm model) ni
named after ap Q6820993 ep
description ap "nonlinear estimation of Temkin isotherm parameters"@en

nonlinear parameter estimation (Toth model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821163

belongs to
computational task c
has facts
Description (long) ap "This task involves estimating the parameters of the Toth adsorption isotherm model from equilibrium adsorption data. The model is nonlinear in its parameters, so numerical regression techniques are required to obtain optimal values for the maximum adsorption capacity, equilibrium constant, and heterogeneity exponent. The goal is to minimize prediction error between experimental uptake data and the theoretical Toth curve. The task is typically implemented using nonlinear least-squares optimization. Estimated parameters are then used to characterize adsorption behavior on heterogeneous surfaces."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap Toth isotherm equation ni
contains ap Toth heterogeneity exponent constraint ni
contains ap Toth equilibrium constant ni
contains ap Toth heterogeneity exponent ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
named after ap Q1110333 ep
description ap "nonlinear estimation of Toth model parameters"@en

nonlinear parameter estimation (uni uni reaction without product and competitive complete inhibition - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684585

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap Michaelis Menten equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Dixon model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Eadie Hofstee model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Hanes Woolf model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Lineweaver Burk model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant"@en

nonlinear parameter estimation (uni uni reaction without product and competitive partial inhibition - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684611

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Michaelis Menten equation (uni uni reaction without product and competitive partial inhibition - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant"@en

nonlinear parameter estimation (uni uni reaction without product and mixed complete inhibition - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684590

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Michaelis Menten equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Dixon model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Eadie Hofstee model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Hanes Woolf model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Lineweaver Burk model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

nonlinear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684595

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap competitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Michaelis Menten equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Dixon model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Eadie Hofstee model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Hanes Woolf model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Lineweaver Burk model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en

nonlinear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684600

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap Michaelis Menten equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Dixon model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Eadie Hofstee model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Hanes Woolf model - steady state assumption) ni
linearized by ap linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Lineweaver Burk model - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant"@en

nonlinear parameter estimation (uni uni reaction without product and uncompetitive partial inhibition - Michaelis Menten model - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684614

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap inhibitor concentration ni
contains ap initial reaction rate ni
contains ap limiting reaction rate (uni uni reaction - forward) ni
contains ap Michaelis constant substrate (uni uni reaction - steady state assumption) ni
contains ap substrate concentration ni
contains ap uncompetitive inhibition constant (uni uni reaction reversible inhibition) ni
contains ap limiting reaction rate with inhibitor (uni uni reaction - forward) ni
contains ap Michaelis Menten equation (uni uni reaction without product and uncompetitive partial inhibition - steady state assumption) ni
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant"@en

nonlinear parameter estimation (UNILAN model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821263

belongs to
computational task c
has facts
Description (long) ap "This task consists of estimating the UNILAN isotherm parameters by fitting the nonlinear UNILAN equation to experimental equilibrium adsorption data. The fitted parameters typically include the maximum adsorption capacity, the adsorption affinity constant, and the heterogeneity parameter. Nonlinear regression methods are required due to the logarithmic and exponential structure of the model. The task is commonly used to characterize surface heterogeneity and adsorption energetics in heterogeneous adsorbent systems."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap maximum monolayer adsorption capacity ni
contains ap UNILAN adsorption affinity constant ni
contains ap UNILAN heterogeneity parameter ni
contains ap UNILAN heterogeneity parameter constraint ni
contains ap UNILAN equation ni
specialized by ap nonlinear parameter estimation (Langmuir adsorption model) ni
description ap "nonlinear estimation of UNILAN adsorption parameters"@en

nonlinear parameter estimation (Volmer model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820978

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using adsorption equilibrium data to determine the Volmer affinity constant. The nonlinear Volmer equation is fitted directly to fractional surface coverage and equilibrium concentration values, capturing the effect of adsorbate mobility on the adsorbent surface. The results quantify adsorption affinity while assuming no lateral interactions among adsorbed molecules. This approach avoids distortions caused by data linearization and is suitable for systems exhibiting mobile monolayer adsorption."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap solute concentration (equilibrium) ni
contains ap fractional surface coverage ni
contains ap Volmer affinity constant ni
contains ap Volmer equation ni
named after ap Q4479187 ep
description ap "nonlinear estimation of Volmer affinity constant"@en

nonlinear parameter estimation (Weber-van Vliet model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821375

belongs to
computational task c
has facts
Description (long) ap "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Weber-van Vliet model parameters by fitting the nonlinear Weber-van Vliet equation to measured equilibrium solute concentration and adsorbed amount data. The fitting procedure minimizes deviations between experimental observations and model predictions across the full concentration range. The resulting parameters provide a flexible empirical representation of adsorption behavior when simpler isotherm models are inadequate. The task is commonly applied in adsorption studies related to chemical wastewater treatment."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap adsorbed solute (equilibrium) ni
contains ap solute concentration (equilibrium) ni
contains ap Weber-van Vliet Parameter 1 ni
contains ap Weber-van Vliet Parameter 2 ni
contains ap Weber-van Vliet Parameter 3 ni
contains ap Weber-van Vliet Parameter 4 ni
contains ap Weber-van Vliet equation ni
named after ap Q4115075 ep
description ap "nonlinear estimation of Weber-van Vliet parameters"@en

nonlinear parameter estimation of enzyme kineticsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684553

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
specialized by ap nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - irreversibility assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - rapid equilibrium assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product and competitive complete inhibition - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product and mixed complete inhibition - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction with product - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product and competitive partial inhibition - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product and mixed partial inhibition - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product and non-competitive partial inhibition - Michaelis Menten model - steady state assumption) ni
specialized by ap nonlinear parameter estimation (uni uni reaction without product and uncompetitive partial inhibition - Michaelis Menten model - steady state assumption) ni
described by source ap Q6672259 ep
description ap "nonlinear determination of the kinetic constants for enzyme-catalyzed reactions"@en

nonlinear Poisson equation (Boltzmann approximation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7284044

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mi mathvariant="normal">∇</mi><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>q</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mo stretchy="false">−</mo><mi>q</mi><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>q</mi><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>q</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>C</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "nonlinear Poisson equation (Boltzmann approximation) for calculation of built-in potential"@en

nonrelativistic approximationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674480

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>e</mi><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>e</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">≈</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Newtonian approximation to special relativity ep
description ap "Newtonian dynamics as an approximation to special relativity"@en

nonthermal plasmani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775634

belongs to
academic discipline c
has facts
described at URL ap Nonthermal plasma ep
Wikidata QID ap "Q1513560"@en
Description (long) ap "Non-thermal (or cold) plasmas are not in thermodynamic equilibrium, because the electron temperature is much hotter than the temperature of heavy species. These plasmas are used in a large variety of technical processes and applications ranging from surface processing, gas conversion and agriculture to plasma medicine"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap electric discharge ni
description ap "non-equilibrium state of matter"@en

normal coordinateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674076

belongs to
quantity c
has facts
Wikidata QID ap "Q112730947"@en
Description (long) ap "Normal coordinates refer to the positions of atoms away from their equilibrium positions, wrt a normal mode of vibration. Formally, normal modes are determined by solving a secular determinant, and then the normal coordinates can be expressed as a summation over the cartesian coordinates (over the atom positions). The normal modes diagonalize the matrix governing the molecular vibrations."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
nondimensionalized by ap normal coordinate (dimensionless) ni
related URL ap Normal mode ep
related URL ap Normal coordinates ep
description ap "pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation"@en

normal coordinate (dimensionless)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674077

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable><mtr><mtd class="mwe-math-columnalign-r"><mi>q</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><msqrt><mi>γ</mi></msqrt></mrow><mi>Q</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>γ</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi><mi>c</mi><mi>ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow></mfrac></mrow></mtd></mtr></mtable></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "nondimensionalized positions of atoms away from their equilibrium positions, wrt a normal mode of vibration"@en

normal distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674002

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>π</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></msqrt></mrow></mrow></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">−</mo><mi>μ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo lspace="0" rspace="0">/</mo><mo stretchy="false">(</mo><mn>2</mn><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
described at URL ap Normal distribution ep
Wikidata QID ap "Q133871"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
image ap Normal%20 Distribution%20 P D F.svg ep
named after ap Q6480411 ep
description ap "continuous probability distribution that is symmetric and bell-shaped"@en

normal distribution equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7260370

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>π</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></msqrt></mrow></mrow></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">−</mo><mi>μ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo lspace="0" rspace="0">/</mo><mo stretchy="false">(</mo><mn>2</mn><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "defining equation of a normal distribution"@en

normal forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830604

belongs to
quantity c
has facts
described at URL ap Normal force ep
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
image ap Incline.svg ep
image ap Friction%20relative%20to%20normal%20force%20%28diagram%29.png ep
description ap "force exerted on an object by a body with which it is in contact, and vice versa"@en

normal interaction force equation between two particlesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674527

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup><msub><mover><mi>δ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mrow data-mjx-texclass="ORD"><mi>𝒏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">⟨</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">⟩</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mover><mi>δ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">⟨</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">⟩</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">(</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><mo lspace="0" rspace="0">/</mo><mn>2</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mi>π</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo lspace="0" rspace="0">/</mo><mn>2</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mn>2</mn><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow></msqrt></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mrow data-mjx-texclass="ORD"><mi>𝒏</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">‖</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">‖</mo></mrow></mrow></mfrac></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "defining equation of force component acting normally at the contact interface between two particles"@en

normal modeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675433

belongs to
mathematical model c
has facts
described at URL ap Normal mode ep
Wikidata QID ap "Q900488"@en
Description (long) ap "These coordinates can be constructed by means of the GF (or FG) method by Wilson."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap quantum Hamiltonian (normal mode) ni
specialized by ap normal mode (anharmonic) ni
specialized by ap normal mode (harmonic) ni
specialized by ap normal mode (intermolecular) ni
related URL ap G F method ep
related URL ap Normal coordinates ep
related URL ap Q3333538 ep
description ap "pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation"@en

normal mode (anharmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675434

belongs to
mathematical model c
has facts
Description (long) ap "Describing molecular (or other) vibrations of many-body systems in terms of normal modes, beyond the harmonic approximation."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap quantum eigen energy (anharmonic) ni
specialized by ap normal mode (harmonic) ni
related URL ap Anharmonicity ep
related URL ap Normal coordinates ep
description ap "molecular (or other) vibrations of many-body systems in terms of normal modes, beyond the harmonic approximation"@en

normal mode (harmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675435

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap quantum eigen energy (harmonic) ni
related URL ap Simple harmonic motion ep
related URL ap Normal coordinates ep
description ap "describing molecular vibrations of many-body systems in terms of normal modes, within the harmonic approximation"@en

normal mode (intermolecular)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675436

belongs to
mathematical model c
has facts
Description (long) ap "Thus describing cluster effects, solvent effects etc."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap quantum eigen energy (intermolecular) ni
contains ap quantum Hamiltonian (normal mode, intermolecular) ni
specialized by ap normal mode (anharmonic) ni
described by source ap Q6672318 ep
described by source ap Q6672319 ep
description ap "describing molecular vibrations in terms of normal modes, beyond the harmonic approximation, and including intermolecular interactions"@en

normal mode momentumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674078

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
nondimensionalized by ap normal mode momentum (dimensionless) ni
related URL ap Normal mode ep
related URL ap Q112730947 ep
description ap "canonical momenta, corresponding to the normal mode coordinates used for the description of vibrations of many-body systems, e.g. molecules"@en

normal mode momentum (dimensionless)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674079

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable><mtr><mtd class="mwe-math-columnalign-r"><mi>p</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mi>γ</mi></msqrt></mrow><mi alternate="1">ℏ</mi></mrow></mrow></mfrac></mrow><mi>P</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>γ</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi><mi>c</mi><mi>ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow></mfrac></mrow></mtd></mtr></mtable></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "dimensionless canonical momenta, corresponding to the normal mode coordinates used for the description of vibrations of many-body systems, e.g. molecules"@en

normal stiffnessni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775409

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "proportion of stiffness acting in normal direction with contact between moving objects"@en

normal stressni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674058

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">n</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">n</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>A</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q11425837"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "NormalStress"@en
description ap "force component perpendicular to a surface element divided by the area of that surface element"@en

normal vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775336

belongs to
quantity c
has facts
Wikidata QID ap "Q56353263"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
nondimensionalized by ap unit normal vector ni
related URL ap Normal (geometry) ep
description ap "vector perpendicular to a plane"@en

normalizationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775406

belongs to
quantity c
has facts
Wikidata QID ap "Q17104971"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Normalization (image processing) ep
description ap "normalization used in image processing"@en

nuclear medicineni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775507

belongs to
academic discipline c
has facts
described at URL ap Nuclear medicine ep
Wikidata QID ap "Q214963"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap biodistribution of gamma-radiation emitting radiotracers in vivo ni
image ap Viewer%20medecine%20nucleaire%20keosys. J P G ep
description ap "branch of medical imaging and therapy method that utilizes radiopharmaceuticals to diagnose, monitor, and treat various diseases at the molecular level"@en

numberni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673726

belongs to
quantity kind c
has facts
described at URL ap Number ep
Wikidata QID ap "Q11563"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
image ap Number Setin C.svg ep
description ap "mathematical object used to count, label, and measure"@en

number of active calcium channelsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773603

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

number of alpha subunits (loaded with GDP)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773606

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of alpha subunits loaded with GDP"@en

number of alpha subunits (with GTP attached)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773596

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of alpha subunits with GTP attached"@en

number of basis functionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775784

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of elements in a basis set"@en

number of chemical reactionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6825208

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of reactions in a chemical reaction scheme"@en

number of chemical speciesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6825209

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of speciesin a chemical reaction scheme"@en

number of citiesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673749

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of cities in region"@en

number of compartmentsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6945229

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "signal"@en

number of compartmentsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6945230

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "morphogen"@en

number of exposed individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674083

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

number of exposed individuals formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674528

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">=</mo><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mrow></msub><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for the number of exposed individuals"@en

number of G-protein moleculesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771936

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of molecules of G-protein"@en

number of inactive calcium channelsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773607

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of Inactive Calcium Channels"@en

number of individuals tends to infinity assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674439

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi><mo stretchy="false">→</mo><mo>inf</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for the individual number"@en

number of infected citiesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673879

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of infected cities in region"@en

number of infectious individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673881

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

number of internalised receptorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773610

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of Internalised Receptor molecules"@en

number of ligand moleculesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771930

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of molecules of the ligand species"@en

number of molecules of morphogenni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6945232

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of molecules of species B"@en

number of molecules of signalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6945231

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of molecules of species A"@en

number of object propertiesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674084

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

number of objectsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674085

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

number of occurrencesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674086

belongs to
quantity c
has facts
Description (long) ap "For example number of events occurring in a fixed interval of time."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "count of how many times a specific event, value, or element appears within a given context or dataset"@en

number of particlesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673745

belongs to
quantity c
has facts
Description (long) ap "For example the number of atoms in a molecule, or the number of molecules in a simulation box."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of constituent particles in that system"@en

number of reaction partner moleculesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773600

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

number of receptor moleculesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771929

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of molecules of the receptor species"@en

number of receptor-ligand complex moleculesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771934

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

number of regionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673750

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of regions (quantity)"@en

number of removed individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673895

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of removed/recovered individuals"@en

number of spindlesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674087

belongs to
quantity c
has facts
Description (long) ap "Muscle spindles are stretch receptors within the body of a skeletal muscle that primarily detect changes in the length of the muscle."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of spindles in a muscle"@en

number of susceptible citiesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673880

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of susceptible cities in region"@en

number of susceptible individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673882

belongs to
quantity c
has facts
Description (long) ap "The number of susceptible individuals. When a susceptible and an infectious individual come into infectious contact, the susceptible individual contracts the disease and transitions to the infectious compartment."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number"@en

number of susceptible individuals formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674529

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒩</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒮</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒮</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">=</mo><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒩</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">−</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mrow></msub><mo stretchy="false">)</mo><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℐ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">−</mo><msup><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>l</mi><mo stretchy="false">)</mo></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for the number of susceptible individuals"@en

number of time pointsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674050

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "total number of time points at which observation were made"@en

number of βγ moleculesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773602

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "number of βγ Molecules"@en

numerical model of the solar systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675440

belongs to
mathematical model c
has facts
described at URL ap Numerical model of the Solar System ep
Wikidata QID ap "Q7069658"@en
Description (long) ap "Neglecting dwarf planets, satellites (e.g. Moon), asteroids, as well as the interaction with other stars or exoplanets. The numerical model of the Solar System consists of a set of mathematical equations, which, when solved, give the approximate positions of the planets as a function of time."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap solar system equations of motion ni
description ap "classical mechanics model of the sun (fixed) and the 8 planets (moving) as point masses"@en

numerical simulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775508

belongs to
academic discipline c
has facts
Wikidata QID ap "Q122802790"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap predicting simulation error and runtime ni
description ap "type of computer simulation"@en

objectni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673727

belongs to
quantity kind c
has facts
Wikidata QID ap "Q488383"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Subject and object (philosophy) ep
description ap "anything that may be observed or acted upon by a subject"@en

object cluster formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674530

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">R</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">c</mi></mrow></msub></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">R</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">c</mi></mrow></msub></mrow><mo stretchy="false">=</mo><mo stretchy="false">(</mo><msup><mi>χ</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>χ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msup><mi>χ</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi></mrow><mi>χ</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "formulation determining the coherence of object clusters"@en

object cluster matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674088

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "matrix giving insight into the coherence of object clusters"@en

object committor function formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674531

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi><msub><mo stretchy="false">∗</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi><mo stretchy="false">=</mo><mo stretchy="false">[</mo><mi>u</mi><msub><mo stretchy="false">∗</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><mn>1</mn><mo stretchy="false">−</mo><mi>u</mi><msub><mo stretchy="false">∗</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">]</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "formulation determining the object commitor functions"@en

object committor functionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674089

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "non-negative vectors whose values correspond to the probability to end up in some property when starting the process in some object"@en

object commonality formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674532

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">(</mo><mi>o</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>o</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐌</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>j</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mi>f</mi><mo stretchy="false">(</mo><msub><mi>o</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">⊙</mo><mi>f</mi><mo stretchy="false">(</mo><msub><mi>o</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><mi>f</mi><mi>o</mi><mi>r</mi><mi>i</mi><mo>,</mo><mi>j</mi><mi>i</mi><mi>n</mi><mi>N</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "function defining the entries in the object commonality matrix"@en

object commonality matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674092

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "matrix containing object property commonalities of all object pairs"@en

object comparison formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674533

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒫</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒫</mi></mrow><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><mi>...</mi><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "boolean ring over object properties"@en

object comparison modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675403

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap extract logical rules ni
used by ap sorting objects ni
community ap Q6534265 ep
contains ap object comparison formulation ni
described by source ap Q6388553 ep
description ap "mathematical model comparing objects using a boolean ring over the object properties"@en

object propertyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673834

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "property of an object"@en

object rating formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674534

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mi>c</mi><mi>o</mi><mi>r</mi><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐌</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐑</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">:</mo><mrow data-mjx-texclass="ORD"><mi>𝐌</mi></mrow><mo stretchy="false">→</mo><mrow data-mjx-texclass="ORD"><mi>𝐑</mi></mrow><mo stretchy="false">:</mo><mi>f</mi><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>y</mi><mo>,</mo><mtext>&#160;</mtext><mi>s</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>𝐌</mi></mrow><mo>,</mo><mtext>&#160;</mtext><mi>y</mi><mo stretchy="false">∈</mo><mo fence="false" stretchy="false">{</mo><mrow data-mjx-texclass="ORD"><mi>𝐑</mi></mrow><mo stretchy="false">|</mo><mn>0</mn><mo stretchy="false">≤</mo><mi>y</mi><mo stretchy="false">≤</mo><mi>s</mi><mi>c</mi><mi>o</mi><mi>r</mi><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><mo fence="false" stretchy="false">}</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "formulation rating the object commonalities"@en

object rating matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674090

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "matrix rating the descriptiveness of the object commonalities"@en

object rating matrix decomposition (Schur)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674535

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐑</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐔</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐕</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐑</mi></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi>𝐔</mi></mrow><mrow data-mjx-texclass="ORD"><mi>𝐕</mi></mrow><mrow data-mjx-texclass="ORD"><msup><mi>𝐔</mi><mrow data-mjx-texclass="ORD"><mi>𝐓</mi></mrow></msup></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Q1064218 ep
named after ap Q6481078 ep
description ap "Schur decomposition of the object rating matrix"@en

observability Gramianni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673781

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo stretchy="false">≡</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msubsup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msup><mi>t</mi></mrow></mrow></msup><msup><mi>C</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msup><mi>C</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><mi>t</mi></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mstyle></mrow></math>"@en
described at URL ap Observability Gramian ep
Wikidata QID ap "Q7075420"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q1453354 ep
description ap "matrix used in linear control problems to determine whether a system is observable"@en

observability Gramian (generalized)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674005

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msubsup><mo stretchy="false">…</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msubsup><msubsup><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msubsup><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy="false">…</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy="false">…</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">…</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>C</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msup><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy="false">…</mo><mo>,</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><mi>X</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mi>i</mi><mi>N</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msup><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></msup></mtd></mtr></mtable></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap observability Gramian ni
named after ap Q1453354 ep
description ap "generalized Gramian of observability, for use in bi-linear control problems"@en

observed responseni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775851

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measured system response to ligand concentration"@en

Ohm's lawni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674255

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi><mo stretchy="false">=</mo><mi>σ</mi><mi>E</mi></mstyle></mrow></math>"@en
described at URL ap Ohm%27s law ep
Wikidata QID ap "Q41591"@en
Description (long) ap "Note that the formulation used here is a generalization of the well-known R=U/I."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1508453 ep
description ap "Ohm's law for transport of electric charge"@en

operational costs of a line conceptni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823148

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mi>o</mi><mi>s</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℒ</mi></mrow></mrow></mrow></munder><mi>c</mi><mi>o</mi><mi>s</mi><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "sum of line costs in a line concept"@en

operators O i minusni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775366

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "class of operators defined to later define the diffusion and reaction operators"@en

operators O i plusni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775367

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "class of operators defined to later define the diffusion and reaction operators"@en

opinionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673756

belongs to
quantity c
has facts
described at URL ap Opinion ep
Wikidata QID ap "Q3962655"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap opinion vector of individuals ni
specialized by ap opinion vector of influencers ni
specialized by ap opinion vector of media ni
description ap "opinion of a given individual at a given time"@en

opinion dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684679

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap partial mean field opinion model ni
modelled by ap opinion model with influencers and media ni
description ap "modelling opinion dynamics under the impact of influencer and media strategies"@en

opinion model with influencers and mediani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675330

belongs to
mathematical model c
has facts
Description (long) ap "General opinion model resulting from a large number of individuals adapting their opinions through interaction with each other as well as due to the influence of a few specific agents with particular roles, namely traditional media and social media influencers."@en
MaRDI profile type ap Q6534270 ep
describes a project that uses ap Q6483064 ep
community ap Q6534265 ep
contains ap average opinion of followers of infuencers formulation ni
contains ap average opinion of followers of media formulation ni
contains ap change in opinions of individuals ni
contains ap change in opinions of influencers ni
contains ap change in opinions of media ni
contains ap interaction force on an individual ni
contains ap interaction weight between individuals ni
contains ap rate of switching influencers formulation ni
assumes ap pair function assumption ni
described by source ap Q6672224 ep
description ap "general opinion model considering individuals, traditional media and social media influencers"@en

opinion vector of individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673764

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector containing opinions for individuals"@en

opinion vector of influencersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673853

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector containing opinions for influencers"@en

opinion vector of mediani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673854

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector containing opinions for media agents"@en

optimal controlni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534338

belongs to
computational task c
has facts
described at URL ap Optimal control ep
Wikidata QID ap "Q1971426"@en
Description (long) ap "Finding controls, e.g. external forces|fields, such that they drive a given control system from a given initial state to a specific final state (target), typically with constraints such as using not too high fields (cost)."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap control system input ni
contains ap optimal control cost ni
contains ap optimal control target ni
contains ap optimal control backward ni
contains ap optimal control forward ni
contains ap optimal control update ni
contains ap optimal control final ni
contains ap optimal control initial ni
contains ap optimal control constraint ni
described by source ap Q6672261 ep
described by source ap Q6672265 ep
description ap "branch of control theory that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized"@en

optimal control backwardni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674536

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>z</mi><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mo stretchy="false">(</mo><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">†</mo></mrow></msup><mo stretchy="false">+</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msubsup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">†</mo></mrow></msubsup><mo stretchy="false">)</mo><mi>z</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msup><mi>B</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">†</mo></mrow></msup><mi>u</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "Lagrange multipliers of control systems are propagated backward via the adjoint of the input equation"@en

optimal control constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674541

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi><mo stretchy="false">[</mo><mi>u</mi><mo>,</mo><mi>x</mi><mo>,</mo><mi>z</mi><mo stretchy="false">]</mo><mo stretchy="false">=</mo><mn>2</mn><mi mathvariant="normal">ℜ</mi><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>d</mi><mi>t</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">†</mo></mrow></msup><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">−</mo><mi>A</mi><mo stretchy="false">−</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "Constraint functional in optimal control systems requiring that the system's state vector follows the respective equation of motion"@en

optimal control costni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674096

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi><mo stretchy="false">[</mo><mi>u</mi><mo stretchy="false">]</mo><mo stretchy="false">≡</mo><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>d</mi><mi>t</mi><msubsup><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Minimizes the cost of the control of a system, e.g. minimize the fluence of a laser field."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "cost functional in optimal control"@en

optimal control finalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674539

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mi>T</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>D</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mi>T</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "final condition for the (backward) propagation of the Lagrange multiplier of a control system"@en

optimal control forwardni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674537

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>x</mi><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">+</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">)</mo><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>B</mi><mi>u</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "state vectors of control systems are propagated forward via the input equation"@en

optimal control initialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674540

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "initial condition for the (forward) propagation of the state vector of a control system"@en

optimal control penalty factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674098

belongs to
quantity c
has facts
Description (long) ap "In optimal control theory, a penalty factor can be used to balance between the two objectives: maximizing the target function[al] versus minimizing the cost function[al]."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "balance between maximizing the target versus minimizing the cost"@en

optimal control targetni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674097

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi><mo stretchy="false">[</mo><mi>u</mi><mo>,</mo><mi>x</mi><mo stretchy="false">]</mo><mo stretchy="false">≡</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">†</mo></mrow></msup><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mi>D</mi><mi>x</mi><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Maximize the quadratic output of a given control system."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "target functional in optimal control"@en

optimal control updateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674538

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mfrac></mrow><mi mathvariant="normal">ℑ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">†</mo></mrow></msup><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "updated control is calculated from state vector and Lagrange multiplier of a control system"@en

optimal nitrogen concentration for a plantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822020

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "optimal nitrogen concentration based on heat-unit index"@en

optimal phosphorus concentration for a plantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824225

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "optimal phosphorus concentration based on heat-unit index"@en

optimal plant nitrogen concentration equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822033

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mi>B</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mi>B</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mi>b</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">+</mo><mi>b</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>b</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "This equation describes the decline of optimal plant nitrogen concentration with crop development stage. The concentration is modeled as a nonlinear function of the heat unit index using crop-specific parameters. It reflects the physiological tendency of plants to have high nitrogen concentrations during early growth and lower concentrations near maturity. The formulation provides a smooth, development-dependent target nitrogen concentration for demand estimation."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "estimates ideal crop nitrogen concentration as function of development"@en

optimal plant phosphorus concentration equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824232

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mi>B</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mi>B</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mi>b</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">+</mo><mi>b</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>b</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "Defines the optimal phosphorus concentration of plant biomass as a decreasing exponential function of crop phenological development represented by the heat unit index."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "estimates ideal crop phosphorus concentration as function of development"@en

optimization in public transportationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684711

belongs to
academic discipline c
has facts
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap line planning ni
described by source ap Q6672216 ep
description ap "using mathematical models and algorithms to improve the efficiency and effectiveness of transportation systems"@en

ordinary Kriging modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775787

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap second-moment stochastic process specification ni
contains ap unknown constant mean value assumption ni
description ap "Kriging model with the assumption of an unknown constant mean value"@en

orthogonal matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674094

belongs to
quantity c
has facts
described at URL ap Orthogonal matrix ep
Wikidata QID ap "Q333871"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "real square matrix whose columns and rows are orthogonal unit vectors"@en

outer boundary for plate with a holeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775596

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi><mo stretchy="false">=</mo><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo stretchy="false">⋅</mo><mi>n</mi><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">o</mi><mi mathvariant="normal">n</mi></mrow></mrow><mspace width="1em"></mspace><mo stretchy="false">{</mo><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">∈</mo><mi>∂</mi><mi>Ω</mi><mo stretchy="false">|</mo><mi>x</mi><mo stretchy="false">=</mo><mi>l</mi><mo stretchy="false">∨</mo><mi>y</mi><mo stretchy="false">=</mo><mi>l</mi><mo stretchy="false">}</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "Neumann boundary condition for displacements in a plate with a hole: outer boundary"@en

outer cylinder angular velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830624

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "angular velocity of the outer rotating cylinder"@en

outer cylinder radiusni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830621

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "radius of the outer rotating cylinder"@en

overall distribution of individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673757

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "pattern or arrangement of individuals within a population across a given area or space"@en

overall distribution of individuals formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674542

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi><mi>h</mi><msub><mi>o</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi><mo stretchy="false">=</mo><msub><mi>Σ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for the overall distribution of individuals"@en

pair functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673758

belongs to
quantity c
has facts
Description (long) ap "Non-negative pair function used to weight interaction between two individuals, e.g., placing exponentially more weight on close-by individuals or having interactions irrespective of the opinion distance between individuals."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "non-negative pair function used to weight interaction between two individuals"@en

pair function assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674543

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "pair function weighting social influence via distance in opinion space"@en

parameter estimation of enzyme kineticsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684554

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
specialized by ap nonlinear parameter estimation of enzyme kinetics ni
specialized by ap linear parameter estimation of enzyme kinetics ni
described by source ap Q6672259 ep
description ap "determination of the kinetic constants for enzyme-catalyzed reactions"@en

parameter to scale attractive force from influencersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673759

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

parameter to scale attractive force from mediani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673760

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

parameter to scale attractive force from other individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673761

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

partial mean field opinion modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675326

belongs to
mathematical model c
has facts
Description (long) ap "For situations with many individuals but few influencers and media, one can derive the mean-field limit by a partial differential equation (PDE) that describes the opinion dynamics of individuals in the limit of infinitely many individuals but is usually already a good approximation to the dynamics for finitely many individuals. Since here the number of influencers and media is still small and finite, their dynamics are still best described by SDEs but now coupled to PDEs for the evolution of the opinion distributions of individuals."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap attraction force at opinion formulation ni
contains ap average opinion of followers of infuencers in the partial mean field model formulation ni
contains ap average opinion of followers of media in the partial mean field model formulation ni
contains ap change in opinions of influencers in the partial mean field model ni
contains ap change in opinions of media in the partial mean field model ni
contains ap limiting distribution of individuals formulation ni
contains ap empirical distribution of individuals formulation ni
contains ap overall distribution of individuals formulation ni
described by source ap Q6672224 ep
description ap "opinion model considering many individuals and few traditional media and social media influencers"@en

partial pressureni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822200

belongs to
quantity kind c
has facts
Wikidata QID ap "Q27165"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "PartialPressure"@en
specialized by ap adsorbate partial pressure (equilibrium) ni
description ap "hypothetical pressure of gas if it alone occupied the volume of the mixture at the same temperature"@en

particle accelerationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673860

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "acceleration of a particle in classical mechanics"@en

particle fluence rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673886

belongs to
quantity c
has facts
Wikidata QID ap "Q98497410"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap diffusion flux ni
specialized by ap flux of electrons ni
specialized by ap flux of holes ni
specialized by ap electron flux density ni
related URL ap Flux ep
description ap "time derivative of particle fluence"@en

particle flux (drift-diffusion)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775683

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi><mo stretchy="false">=</mo><mi>q</mi><mi>n</mi><mi>μ</mi><mi mathvariant="normal">∇</mi><mi>ϕ</mi><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">(</mo><mi>D</mi><mi>n</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
similar to ap electric current density of electrons ni
similar to ap electric current density of holes ni
description ap "drift-diffusion model for the flux of charged particles in an electric field"@en

particle massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775384

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap heavy particle mass ni
specialized by ap light particle mass ni
description ap "mass of a particle"@en

particle momentumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673871

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">≡</mo><mi>m</mi><mi>v</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap heavy particle momentum ni
description ap "momentum of a particle in classical mechanics"@en

particle movement on a lineni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775481

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><msup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msup><mi>μ</mi><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><mi>s</mi></mrow></mrow></msup><mspace width="0.167em"></mspace><mi>d</mi><mi>x</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap particle movement on a line (no attenuation) ni
description ap "particle movement equation on a line"@en

particle movement on a line (no attenuation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775459

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>d</mi><mi>x</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap ET measurement equation (no scatter, no attenuation) ni
related URL ap Radon transform ep
related URL ap Q979829 ep
description ap "particle movement equation on a line neglecting attenuation"@en

particle number densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673887

belongs to
quantity c
has facts
Wikidata QID ap "Q98601569"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap electron density ni
specialized by ap hole density ni
specialized by ap fluid mass density ni
description ap "number of particles per volume"@en

particle positionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673863

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap heavy particle position ni
specialized by ap light particle position ni
description ap "position of a particle in classical mechanics"@en

particle radiusni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674080

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "radius of a particle in a potential multi-particle system"@en

particle source and sink equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6825206

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">N</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">r</mi></mrow></mrow></msub></mrow></munderover><mo stretchy="false">(</mo><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">)</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "sources and sinks of particle number densities in chemical reaction dynamics"@en

particle velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673873

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap free fall impact velocity ni
specialized by ap free fall terminal velocity ni
specialized by ap free fall velocity ni
specialized by ap heavy particle velocity ni
description ap "velocity of a particle in classical mechanics"@en

particles in electromagnetic fieldsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684674

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Lorentz force model (non-relativistic) ni
modelled by ap Lorentz force model (relativistic) ni
description ap "motion of charged particles subject to an electric and/or magnetic fields, e.g. in a cathode ray tube, in an ion trap, or in a mass spectrometer"@en

passive muscle forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674010

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PME</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>slack</mtext></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PME</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><msubsup><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msubsup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PE</mtext></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msubsup><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msubsup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi data-mjx-variant="-tex-calligraphic">𝓁</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow></msub><mo stretchy="false" data-mjx-variant="-tex-calligraphic" mathvariant="script">(</mo><mi data-mjx-variant="-tex-calligraphic">𝓉</mi><mo stretchy="false" data-mjx-variant="-tex-calligraphic" mathvariant="script">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>slack</mtext></mrow></mrow></msubsup></mrow></mfrac></mrow><mo stretchy="false">−</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PE</mtext></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "force developed in noncontracting or inactive muscles by the elastic elements within the muscle"@en

passive muscle strainni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674099

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

passive tendon forceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674125

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>PTE</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">T</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">M</mi></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">P</mi><mi mathvariant="normal">T</mi><mi mathvariant="normal">E</mi></mrow></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">T</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><msubsup><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">M</mi></mrow></mrow></msubsup><mn>0.10377</mn><mo stretchy="false">(</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mn>91</mn><mo stretchy="false">−</mo><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">T</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mn>1</mn><mo stretchy="false">)</mo><mtext>&#160;</mtext></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi><mi mathvariant="normal">f</mi></mrow></mrow><mtext>&#160;</mtext><mn>0</mn><mo stretchy="false">≤</mo><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">T</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">≤</mo><mn>0.01516</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><msubsup><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">M</mi></mrow></mrow></msubsup><mo stretchy="false">(</mo><mn>37.526</mn><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">T</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mn>0.26029</mn><mo stretchy="false">)</mo><mtext>&#160;</mtext></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi><mi mathvariant="normal">f</mi></mrow></mrow><mtext>&#160;</mtext><mn>0.01516</mn><mo>&lt;</mo><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">T</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>&lt;</mo><mn>0.1</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "Concrete values are fitted on experimental studies, see reference."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
described by source ap Q6672297 ep
described by source ap Q6775603 ep
description ap "force that a tendon can generate without the muscle actively contracting"@en

pendular amplitudeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821157

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "angle of the pendulum"@en

pendular amplitude (initial value)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821396

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "initial value of the amplitude of a (mathematical) pendulum"@en

period lengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674045

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "length of a period in time units"@en

periodic boundary condition for electric potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534337

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>ϕ</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">+</mo><mi>L</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Example: The SiQbus electron shuttling device contains periodically repeated unit cells with four clavier gates each."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "periodic boundary condition for electric potential, e.g., for modeling devices with repeated units"@en

periodic boundary conditionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674544

belongs to
formula c
has facts
described at URL ap Periodic boundary conditions ep
Wikidata QID ap "Q2992284"@en
Description (long) ap "When an object passes through one side of the unit cell, it re-appears on the opposite side with the same velocity. In topological terms, the space made by one-dimensional PBCs can be thought of as being mapped onto a circle. The space made by two-dimensional PBCs can be thought of as being mapped onto a torus."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap periodic boundary condition for electric potential ni
description ap "set of boundary conditions which are often chosen for approximating a large (infinite) system by using a small part called a unit cell"@en

permittivityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534318

belongs to
quantity c
has facts
described at URL ap Permittivity ep
Wikidata QID ap "Q211569"@en
Description (long) ap "In electromagnetism, the absolute permittivity, often simply called permittivity is a measure of the electric polarizability of a dielectric material. It is given as the product of the vacuum dielectric permittivity and the relative permittivity of the material. Permittivities may be complex and frequency-dependent."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Permittivity"@en
nondimensionalized by ap relative permittivity ni
specialized by ap permittivity of vacuum ni
description ap "measure of the electric polarizability of a dielectric material"@en

permittivity of vacuumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673740

belongs to
quantity c
has facts
described at URL ap Vacuum permittivity ep
Wikidata QID ap "Q6158"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msup><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><msup><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "Vacuum permittivity is the value of the absolute dielectric permittivity of classical vacuum. It is an ideal (baseline) physical constant."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT constant ID ap "ElectricConstant"@en
description ap "physical constant that represents the capability of the vacuum to permit electric field lines"@en

pharmacodynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775827

belongs to
academic discipline c
has facts
Wikidata QID ap "Q725307"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap dose-response analysis ni
description ap "study of the biochemical and physiologic effects of drugs"@en

phosphorus supply rate of soilni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824228

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate of phosphorus supply in soil"@en

phosphorus uptake rate of plantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824226

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate indicating the uptake of phosphorus by a plant"@en

photosynthetically active solar radiation fractionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821283

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "solar radiation conversion fraction"@en

physical chemistryni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q133773

belongs to
academic discipline c
has facts
described at URL ap Physical chemistry ep
Wikidata QID ap "Q11372"@en
Description (long) ap "Note that the distinction between Physical Chemistry and Chemical Physics is not always straight-forward to define."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap molecular dynamics simulation ni
contains ap molecular reaction dynamics ni
contains ap molecular spectroscopy (transient) ni
contains ap molecular spectroscopy ni
contains ap molecular spectrosopy (stationary) ni
contains ap nonadiabatic molecular dynamics ni
specialized by ap chemical kinetics ni
specialized by ap molecular physics ni
similar to ap theoretical chemistry ni
image ap Lomonosov%20 Chymiae%20 Physicae%201752.jpg ep
subclass of ap chemistry ni
description ap "subdiscipline at the intersection of physics and chemistry, describing chemical concepts utilizing the principles of physics"@en

physical lawni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775588

belongs to
formula c
has facts
described at URL ap Laws of physics ep
Wikidata QID ap "Q214070"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "scientific law in physics"@en

physiologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821413

belongs to
academic discipline c
has facts
Wikidata QID ap "Q521"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap ecophysiology ni
description ap "science regarding function of organisms or living systems"@en

pickaback integrator for quantum-classical dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775622

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>t</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>q</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mover><mi>t</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mi>F</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mover><mi>t</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow></mfrac></mrow><mi>Δ</mi><mi>t</mi><mi>V</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>q</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></mfrac></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6775312 ep
description ap "symplectic time integration scheme for mean-field or Ehrenfest approach to quantum-classical dynamics"@en

Piola-Kirchhoff stress tensorsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673838

belongs to
quantity c
has facts
described at URL ap Piola% E2%80%93 Kirchhoff stress tensors ep
Wikidata QID ap "Q9291589"@en
Description (long) ap "In the case of finite deformations, the Piola–Kirchhoff stress tensors express the stress relative to the reference configuration. This is in contrast to the Cauchy stress tensor which expresses the stress relative to the present configuration. For infinitesimal deformations and rotations, the Cauchy and Piola–Kirchhoff tensors are identical."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6481329 ep
named after ap Q6775564 ep
description ap "stress relative to the reference configuration"@en

plane stressni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775590

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝝈</mi></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝜺</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>ν</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>𝜺</mi></mrow><mo stretchy="false">+</mo><mi>ν</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">t</mi><mi mathvariant="normal">r</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>𝜺</mi></mrow><msub><mrow data-mjx-texclass="ORD"><mi>𝑰</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
described at URL ap Plane stress ep
Wikidata QID ap "Q7201019"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Plane stress ep
image ap Stress%20transformation%202 D.svg ep
description ap "condition where the stress vector is zero across a particular plane"@en

plane stress conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775595

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>33</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>13</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>31</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>32</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>23</mn></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "When that situation occurs over an entire element of a structure, as is often the case for thin plates, the stress analysis is considerably simplified, as the stress state can be represented by a tensor of dimension 2"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Plane stress ep
related URL ap Plane stress ep
related URL ap Q7201019 ep
description ap "In continuum mechanics, a material is under plane stress if the stress vector is zero across a particular plane."@en

plant nitrogen demand rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822019

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "difference between crop nitrogen content and ideal content for a specific day"@en

plant nitrogen fixation modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822114

belongs to
mathematical model c
has facts
Description (long) ap "Deterministic model estimating daily biological nitrogen fixation as a function of plant nitrogen demand, phenological development, soil water availability, and soil nitrate concentration. Nitrogen fixation is constrained by growth stage, soil moisture in the upper soil profile, and nitrate availability in the root zone. The model operates at daily time steps and integrates physiological and soil constraints relevant to legume crops."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of fixation growth stage factor ni
used by ap computation of fixation soil water factor ni
used by ap computation of fixation soil nitrate factor ni
used by ap computation of nitrogen fixation fraction ni
used by ap computation of daily nitrogen fixation ni
community ap Q6534265 ep
contains ap heat-unit-based phenological development model ni
contains ap plant nitrogen uptake and demand model ni
contains ap daily nitrogen fixation equation ni
contains ap nitrogen fixation fraction equation ni
contains ap fixation growth stage equation ni
contains ap fixation soil water equation ni
contains ap fixation soil nitrate equation ni
described by source ap Q6821276 ep
description ap "biological nitrogen fixation by legume crops"@en

plant nitrogen uptake and demand modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822042

belongs to
mathematical model c
has facts
Description (long) ap "This model simulates crop nitrogen use using a supply–demand framework. Crop nitrogen demand is computed from accumulated biomass and an ideal nitrogen concentration that varies with crop development. Soil nitrogen supply is estimated from nitrate transport to roots by mass flow, distributed across soil layers according to plant water uptake. Actual nitrogen uptake is obtained by adjusting soil nitrogen supply to match crop demand while respecting soil nitrate availability. The model links crop growth, soil water use, and nitrogen dynamics in a mechanistic way."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of crop nitrogen demand ni
used by ap computation of soil nitrogen supply by mass flow ni
used by ap aggregation of soil nitrogen supply ni
used by ap adjustment of nitrogen uptake to crop demand ni
community ap Q6534265 ep
contains ap heat-unit-based phenological development model ni
contains ap crop water usage model ni
contains ap crop nitrogen demand equation ni
contains ap optimal plant nitrogen concentration equation ni
contains ap nitrogen supply by mass flow equation ni
contains ap total soil nitrogen supply equation ni
contains ap adjusted nitrogen uptake equation ni
described by source ap Q6821276 ep
description ap "simulation of crop nitrogen demand and soil nitrogen uptake"@en

plant phosphorus demand rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824224

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "difference between crop phosphorus content and ideal content for a specific day"@en

plant phosphorus uptake and demand modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824237

belongs to
mathematical model c
has facts
Description (long) ap "A deterministic agroecosystem model that estimates daily plant phosphorus demand based on biomass accumulation and optimal phosphorus concentration, and compares it with soil phosphorus supply determined by root distribution and labile soil phosphorus availability."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of crop phosphorus demand ni
used by ap computation of soil phosphorus supply ni
community ap Q6534265 ep
contains ap heat-unit-based phenological development model ni
contains ap root biomass partitioning model ni
contains ap root biomass distribution model ni
contains ap crop phosphorus demand equation ni
contains ap optimal plant phosphorus concentration equation ni
contains ap soil phosphorus supply equation ni
contains ap labile phosphorus uptake factor equation ni
described by source ap Q6821276 ep
description ap "supply-demand model of plant phosphorus uptake"@en

plant water use rate in soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821379

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the amount of water extracted by plant roots from a specific soil layer on a specific day. It reflects both root presence and soil water availability in that layer. Water use is reduced when soil moisture is limiting or when root stress factors restrict root function."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "plant water use rate in soil layer considering soil moisture"@en

plant water use rate-soil depth parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821580

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "plant water use distribution parameter"@en

plasma modelingni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822205

belongs to
mathematical model c
has facts
described at URL ap Plasma modeling ep
Wikidata QID ap "Q7201780"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
specialized by ap fluid Poisson model: non-thermal plasma ni
image ap Plasma%20 Modeling%20 Table.png ep
description ap "solving equations of motion that describe the state of a plasma"@en

plasma physicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775633

belongs to
academic discipline c
has facts
described at URL ap Plasma (physics) ep
Wikidata QID ap "Q5615097"@en
Description (long) ap "Plasma is a state of matter that results from a gaseous state having undergone some degree of ionisation. It thus consists of a significant portion of charged particles (ions and/or electrons). While rarely encountered on Earth, it is estimated that 99.9% of all ordinary matter in the universe is plasma. Stars are almost pure balls of plasma, and plasma dominates the rarefied intracluster medium and intergalactic medium. Plasma can be artificially generated, for example, by heating a neutral gas or subjecting it to a strong electromagnetic field."@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
specialized by ap nonthermal plasma ni
image ap T C A B R%20lab.jpg ep
description ap "branch of physics dealing with a state of matter consisting of ionized gas"@en

plate with a holeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775295

belongs to
research problem c
has facts
described at URL ap Plate with hole in tension ep
Description (long) ap "A plate with a hole can refer to various things, including a structural element with a pre-formed opening, a component used for anchoring or connecting, or a surface imperfection like a void or pop-out. The specific context determines the implications of the hole and its impact on the concrete's behavior or function. (AI within a Google search)"@en
MaRDI profile type ap Q6534269 ep
describes a project that uses ap Q16493 ep
community ap Q6534265 ep
modelled by ap plate with a hole: linear elasticity model ni
modelled by ap plate with a hole: weak formulation, discretized model ni
modelled by ap plate with a hole: weak formulation ni
local image ap File: Elastic plate with hole tension.png ep
related URL ap Plate with hole in tension ep
described by source ap Q6775601 ep
source code repository ap N F D I4 Ing Model Validation Platform ep
description ap "simulating the strength of a plate with a cylindrical hole"@en

plate with a hole: analytical solutionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775627

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap radius of hole in a plate ni
contains ap Kirsch equations ni
contains ap mechanical load ni
contains ap Cartesian coordinate x ni
contains ap Cartesian coordinate y ni
contains ap stress tensor (analytic solution) ni
local image ap File: Kirsch hoop stress.png ep
description ap "analytical approach to solve strain-stress relation for a plate with a hole"@en

plate with a hole: finite element discretizationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775615

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap finite element method ni
contains ap Cauchy momentum equation: coefficient matrix ni
contains ap Cauchy momentum equation: constant vector ni
description ap "finite element discretization of a plate with a hole"@en

plate with a hole: geometryni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775584

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi><mo stretchy="false">=</mo><mo stretchy="false">[</mo><mn>0</mn><mo>,</mo><mi>l</mi><msup><mo stretchy="false">]</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">∖</mo><mo stretchy="false">{</mo><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">∣</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow><mo>&lt;</mo><mi>a</mi><mo stretchy="false">}</mo></mstyle></mrow></math>"@en
Description (long) ap "For use in a practical simulation, we consider a finite size square-shaped subdomain of the infinite plate around the hole. The computational effort is further reduced by only simulating one quarter of the domain and assuming symmetry conditions at the edges."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computational domain for simulations of a concrete plane with a hole"@en

plate with a hole: parameter determinationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775617

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap Young's modulus ni
contains ap strain tensor ni
contains ap stress tensor ni
contains ap Poisson's ratio ni
contains ap length of plate with a hole ni
contains ap radius of hole in a plate ni
description ap "determining parameters (Young modulus, Poisson ratio) from measured strain-stress data"@en

plate with a hole: solve variational discretized problemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775614

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap Cauchy momentum equation: weak formulation, discretized ni
contains ap Cauchy momentum equation: coefficient matrix ni
contains ap Cauchy momentum equation: unknown vector ni
contains ap Cauchy momentum equation: constant vector ni
corresponds to ap Q6825573 ep
description ap "solve variational discretized version of the plate with a hole problem"@en

plate with a hole: weak formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822179

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap plate with a hole: geometry ni
contains ap plane stress ni
contains ap Cauchy momentum equation: weak formulation ni
discretized by ap plate with a hole: weak formulation, discretized model ni
description ap "variational approach to solve strain-stress relation for the linear elastic model of a plate with a hole"@en

plate with a hole: weak formulation, discretized modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775736

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap plate with a hole: solve variational discretized problem ni
community ap Q6534265 ep
contains ap Cauchy momentum equation: weak formulation, discretized ni
description ap "variational, discretized version of the model of the linear elastic model of a plate with a hole"@en

point in timeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674052

belongs to
quantity c
has facts
Wikidata QID ap "Q186408"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "position of a particular instant in time"@en

Poisson distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674104

belongs to
quantity c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>λ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mo stretchy="false">(</mo><mi>k</mi><mo>;</mo><mi>λ</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>λ</mi></mrow></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Poisson distribution ep
Wikidata QID ap "Q205692"@en
Description (long) ap "Assuming that these events occur with a known constant mean rate and independently of the time since the last event."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
image ap Poisson%20pmf.svg ep
named after ap Q6775559 ep
description ap "discrete probability distribution that models the number of events occurring in a fixed interval of time or space, given a constant mean rate of occurrence"@en

Poisson equation for the electric potential (finite volume)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674356

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">−</mo><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>,</mo><mi>k</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">−</mo><mn>1</mn><mo>,</mo><mi>k</mi></mrow></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>q</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">+</mo><mi>p</mi><mo stretchy="false">(</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>;</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>n</mi><mo stretchy="false">(</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>;</mo><mi>k</mi></mrow></mrow></msub><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">|</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">|</mo></mstyle></mrow></math>"@en
Description (long) ap "Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775559 ep
description ap "used within the Scharfetter-Gummel finite volume disretization scheme"@en

Poisson log-likelihoodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674483

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>log</mi><mo>&#x2061;</mo><mi>L</mi><mo stretchy="false">=</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></munder><mo stretchy="false">[</mo><mi>D</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>log</mi><mo>&#x2061;</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>E</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775559 ep
description ap "log-likelihood function of a Poisson distribution"@en

Poisson's equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775663

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>ϕ</mi><mo stretchy="false">=</mo><mi>f</mi></mstyle></mrow></math>"@en
described at URL ap Poisson%27s equation ep
MathWorld ID ap "PoissonsEquation"@en
Wikidata QID ap "Q827688"@en
Encyclopedia of Mathematics wiki ID ap "Poisson_equation"@en
Great Russian Encyclopedia portal ID ap "uravnenie-puassona-b6b509"@en
ScienceDirect topic ID ap "mathematics/poisson-equation"@en
ScienceDirect topic ID ap "physics-and-astronomy/poisson-equation"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
World of Physics ID ap "PoissonsEquation"@en
specialized by ap Poisson's equation for the electric potential ni
Commons category ap "Poisson's equation"@en
Freebase ID ap "/m/01bhps"@en
PSH ID ap "7608"@en
Encyclopædia Britannica Online ID ap "topic/Poissons-equation"@en
subclass of ap Q7274765 ep
Microsoft Academic ID ap "96716743"@en
OpenAlex ID ap "C96716743"@en
NE.se ID ap "poissons-ekvation"@en
Den Store Danske ID ap "Poissons_ligning"@en
named after ap Q1536992 ep
named after ap Q6775559 ep
GND ID ap "4174972-8"@en
description ap "partial differential equation of elliptic type with broad utility in mechanical engineering and theoretical physics"@en

Poisson's equation for the electric potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775662

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">−</mo><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><msup><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>ϕ</mi><mo stretchy="false">=</mo><mi>ρ</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Poisson's equation for the electric potential (semiconductors) ni
related URL ap Electrostatics ep
has weak formulation ap Poisson's equation for the electric potential: weak formulation ni
named after ap Q6775559 ep
description ap "for the electric potenial generated by (one or several species of) charged particles"@en

Poisson's equation for the electric potential (semiconductors)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674308

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mi mathvariant="normal">∇</mi><mi>ψ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>q</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>C</mi><mo stretchy="false">+</mo><mi>p</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>n</mi><mo stretchy="false">(</mo><mi>ψ</mi><mo>,</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap Poisson equation for the electric potential (finite volume) ni
specialized by ap Laplace equation for the electric potential ni
named after ap Q6775559 ep
description ap "For use in semiconductor physics, with electron and hole densities"@en

Poisson's equation for the electric potential: weak formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823150

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">r</mi></mrow></mrow></msub><mi mathvariant="normal">∇</mi><mi>ϕ</mi><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mi>v</mi><mo stretchy="false">−</mo><mi>ρ</mi><mi>v</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow><mo stretchy="false">−</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-mathit">𝛺</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">r</mi></mrow></mrow></msub><mi>N</mi><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mi>ϕ</mi><mspace width="0.167em"></mspace><mi>v</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>s</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "weak formulation of Poisson's equation for the electric potential"@en

Poisson's rationi back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775580

belongs to
quantity c
has facts
described at URL ap Poisson%27s ratio ep
Wikidata QID ap "Q190453"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
image ap Poisson%20ratio%20compression%20example.svg ep
named after ap Q6775559 ep
description ap "parameter of elastic materials: ratio of transverse strain to axial strain"@en

Poisson-distributed deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674545

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">∼</mo><mi>P</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>E</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775559 ep
description ap "assuming that death counts at age x are Poisson-distributed"@en

Polanyi potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821133

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϵ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϵ</mi><mo stretchy="false">≡</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q576991 ep
description ap "adsorption potential representing sorption work"@en

polar angleni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673725

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">≡</mo><mi>arctan</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q116757614"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Polar coordinate system ep
related URL ap Spherical coordinate system ep
image ap 3 D%20 Spherical%202.svg ep
description ap "angle in polar or spherical coordinate system"@en

polar coordinate systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775604

belongs to
quantity kind c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-l"><mi>x</mi></mtd><mtd><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-l"><mi>r</mi><mi>cos</mi><mo>&#x2061;</mo><mi>θ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mi>y</mi></mtd><mtd><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-l"><mi>r</mi><mi>sin</mi><mo>&#x2061;</mo><mi>θ</mi></mtd></mtr></mtable></mstyle></mrow></math>"@en
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MathWorld ID ap "PolarCoordinates"@en
nLab ID ap "polar coordinates"@en
Wikidata QID ap "Q62494"@en
Encyclopedia of Mathematics wiki ID ap "Polar_coordinates"@en
Great Russian Encyclopedia portal ID ap "poliarnaia-sistema-koordinat-631683"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
contains ap polar angle ni
contains ap radial coordinate ni
on focus list of Wikimedia project ap Q56557 ep
Digital Library of Mathematical Functions ID ap "1.5.E10"@en
Commons category ap "Polar coordinate system"@en
topic's main category ap Q7279857 ep
Commons gallery ap "Polar coordinate system"@en
Freebase ID ap "/m/068sn"@en
Quora topic ID ap "Polar-Coordinate-System"@en
Quora topic ID ap "Polar-Coordinates-2"@en
Encyclopædia Britannica Online ID ap "topic/polar-coordinates"@en
Australian Educational Vocabulary ID ap "scot/11946"@en
KBpedia ID ap "PolarCoordinateSystem"@en
Store norske leksikon ID ap "polarkoordinater"@en
image ap Examples%20of%20 Polar%20 Coordinates.svg ep
Stack Exchange tag ap polar coordinates ep
subclass of ap Q7272077 ep
Microsoft Academic ID ap "40069579"@en
Open Library subject ID ap "polar_coordinates"@en
Treccani's Enciclopedia della Matematica ID ap "coordinate-polari"@en
OpenAlex ID ap "C40069579"@en
Den Store Danske ID ap "polært_koordinatsystem"@en
GND ID ap "4323692-3"@en
Elhuyar ZTH ID ap "095927"@en
description ap "two-dimensional coordinate system where each point is determined by a distance from reference point and an angle from a reference direction"@en

polarizabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673715

belongs to
quantity kind c
has facts
described at URL ap Polarizability ep
Wikidata QID ap "Q869891"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "tendency of matter subjected to an electric field to acquire an electric dipole moment"@en

pomologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684706

belongs to
academic discipline c
has facts
described at URL ap Pomology ep
Wikidata QID ap "Q35911"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap gravitational effects on fruit ni
image ap Malus%20domestica%20 %20 K% C3% B6hler% E2%80%93s%20 Medizinal Pflanzen 108.jpg ep
subclass of ap Q69365 ep
description ap "branch of botany that studies fruits and their cultivation"@en

poor rooting environment assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821591

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>C</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>C</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for soil condition"@en

population densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673737

belongs to
quantity c
has facts
described at URL ap Population density ep
Wikidata QID ap "Q22856"@en
Description (long) ap "Population density is a measure of the number of individuals per unit area, typically expressed as the number of individuals per square kilometer. It is used to study human and animal populations for various administrative and scientific purposes."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap fraction of population density of exposed ni
specialized by ap fraction of population density of infectious ni
specialized by ap fraction of population density of removed ni
specialized by ap fraction of population density of susceptibles ni
image ap Population Density Map Per Square Kilometre.png ep
description ap "measure of the number of individuals per unit area"@en

poro-visco-elastic (Dirichlet boundary)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674247

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>χ</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>χ</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6480715 ep
description ap "Dirichlet boundary condition for mechanical deformation"@en

poro-visco-elastic (Neumann boundary)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674248

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Φ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ζ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>g</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo maxsize="1.2em" minsize="1.2em">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi><mi>χ</mi></mrow></mrow></msub><mi>Φ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">+</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi><mover><mi>χ</mi><mo>˙</mo></mover></mrow></mrow></msub><mi>ζ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi mathvariant="normal">∇</mi><mover><mi>χ</mi><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo maxsize="1.2em" minsize="1.2em">)</mo><mi>ν</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">−</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">⋅</mo><mo maxsize="1.2em" minsize="1.2em">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>D</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>χ</mi></mrow></mrow></msub><mi>H</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><msup><mi>D</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mi>ν</mi><mo maxsize="1.2em" minsize="1.2em">)</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1458150 ep
description ap "Neumann boundary condition for mechanical deformation"@en

poro-visco-elastic diffusion boundary conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674245

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>κ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi><mo stretchy="false">(</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo>,</mo><mi>c</mi><mo stretchy="false">)</mo><mi mathvariant="normal">∇</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mi>Φ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo>,</mo><mi>c</mi><mo stretchy="false">)</mo><mo stretchy="false">⋅</mo><mi>ν</mi><mo stretchy="false">=</mo><mi>κ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mi>Φ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo>,</mo><mi>c</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "boundary condition for diffusion equation"@en

poro-visco-elastic diffusion equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674246

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Φ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>c</mi><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mi mathvariant="normal">∇</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mi>Φ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Fick equation ni
description ap "mathematical formulation for diffusion in poro-visco-elastic models"@en

poro-visco-elastic evolutionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684680

belongs to
research problem c
has facts
Description (long) ap "This is relevant in many applications in thermo-mechanics, solid-state batteries, poroelasticity in biological tissue, hydrogen storage, and elastomeric materials."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap poro-visco-elastic model ni
described by source ap Q6577000 ep
description ap "simulation of coupled mechanical deformation of solids to other physical processes such as heat conduction or diffusion of chemical species"@en

poro-visco-elastic modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675379

belongs to
mathematical model c
has facts
Description (long) ap "The elastic stresses are given via the derivative of a free energy density function, the viscous stresses are of Kelvin-Voigt type and formulated in terms of a dissipation potental. The evolution of the concentration is given via a diffusion equation that is pulled-back to the reference configuration. The mobility law depends nonlinearly on the deformation gradient and the concentration itself."@en
Description (long) ap "The finite mechanical deformation is quasistatic and is formulated in the Lagrangian frame. The total stress consists of elastic and viscous stresses. Moreover, a second-order hyper-stress regularization is taken into account."@en
MaRDI profile type ap Q6534270 ep
used by ap calculation of deformation and concentration ni
community ap Q6534265 ep
contains ap poro-visco-elastic (Dirichlet boundary) ni
contains ap poro-visco-elastic (Neumann boundary) ni
contains ap poro-visco-elastic quasistatic equation ni
described by source ap Q6577000 ep
description ap "mathematical model describing the coupled evolution of the mechanical deformation and the concentration of a species"@en

poro-visco-elastic quasistatic equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674249

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Φ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ζ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi><mi>χ</mi></mrow></mrow></msub><mi>Φ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∇</mi><mover><mi>χ</mi><mo>˙</mo></mover></mrow></mrow></msub><mi>ζ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi mathvariant="normal">∇</mi><mover><mi>χ</mi><mo>˙</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi mathvariant="normal">∇</mi><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi>c</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>D</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>χ</mi></mrow></mrow></msub><mi>H</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><msup><mi>D</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>f</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation using linear momentum without inertia for mechanical deformation"@en

position vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673702

belongs to
quantity kind c
has facts
described at URL ap Position (geometry) ep
Wikidata QID ap "Q192388"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap center of mass ni
specialized by ap particle position ni
specialized by ap contact point of particles ni
description ap "vector representing the position of a point with respect to a given origin and axes"@en

positron emission tomographyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775438

belongs to
mathematical model c
has facts
described at URL ap Positron emission tomography ep
Wikidata QID ap "Q208376"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap positron emission tomography equation ni

positron emission tomography equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775482

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mi>μ</mi><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><mi>s</mi></mrow></mrow></msup><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mi>d</mi><mi>x</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Positron emission tomography ep
related URL ap N B K232475 ep
related URL ap Q208376 ep
description ap "medicine imaging technique"@en

postprocessing (comparing stress)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775616

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap stress tensor ni
contains ap stress tensor (analytic solution) ni
contains ap stress tensor (deviation) ni
description ap "post processing of simulations of mechanical stress tensor: Comparison with analytic solution"@en

potential biomass accumulation equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821307

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>,</mo><mi>i</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><mi>Δ</mi><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation updates the accumulated potential crop biomass by adding the daily potential biomass increment to its previous value. It represents the temporal integration of daily biomass production over the growing season. The formulation assumes that biomass accumulation is additive and does not impose additional physiological constraints beyond those governing daily production. The equation is applied at each simulation time step to maintain the biomass state variable. It provides the accumulated potential biomass used in subsequent allocation and yield formation processes."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "accumulates daily potential crop biomass"@en

potential biomass growth equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821313

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mi>A</mi><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>H</mi><mi>R</mi><mi>L</mi><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mn>0.001</mn><mi>B</mi><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mi>P</mi><mi>A</mi><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mi>Δ</mi><mi>H</mi><mi>L</mi><mi>R</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "This equation estimates the daily potential increase in crop biomass using a radiation use efficiency approach. It follows the formulation proposed by Monteith, relating intercepted photosynthetically active radiation to dry matter production. Biomass accumulation is adjusted by a factor accounting for daylength and its daily change. The conversion efficiency parameter represents the crop-specific ability to transform radiant energy into biomass. The equation assumes optimal growing conditions without water or nutrient stress."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6821309 ep
description ap "estimates daily potential crop biomass increase following Monteith"@en

potential biomass incrementni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821284

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the increase in crop dry matter biomass during a single day under optimal conditions. It is computed from intercepted photosynthetically active radiation and a crop-specific conversion efficiency. The value reflects the maximum attainable biomass growth for that day. It contributes to the accumulation of total potential crop biomass over the growing season."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "potential daily increase in crop biomass"@en

potential crop growth model (biomass)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821315

belongs to
mathematical model c
has facts
Description (long) ap "This model determines crop biomass production assuming no limitations from water, nutrients, pests, or diseases. Growth is driven by intercepted solar radiation and a crop-specific radiation use efficiency parameter. The model represents the maximum achievable growth rate under prevailing weather conditions. Phenological development controls the timing and partitioning of growth but does not constrain resource availability. The resulting biomass represents potential growth against which stress effects are later applied."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of potential crop biomass growth ni
community ap Q6534265 ep
contains ap potential biomass accumulation equation ni
contains ap potential biomass growth equation ni
contains ap daylength model ni
contains ap solar radiation interception model ni
described by source ap Q6821276 ep
description ap "radiation-driven crop biomass production under optimal conditions"@en

potential crop water use rate in soil layer equation (no compensation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821590

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Λ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi></mrow></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>Z</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>Z</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "This equation distributes potential plant water use among soil layers within the root zone using an exponential depth function. No compensation mechanism is employed which would allows plants to offset water deficits in dry layers by increasing uptake from wetter layers."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "determines potential plant water use rate in specific soil layer"@en

potential crop water use rate in soil layer equation (partial compensation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821593

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Λ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi></mrow></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>Z</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup><mo stretchy="false">−</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>U</mi><mi>C</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>Z</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>U</mi><mi>C</mi><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></munderover><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation distributes potential plant water use among soil layers within the root zone using an exponential depth function. No compensation mechanism is employed which would allows plants to offset water deficits in dry layers by increasing uptake from wetter layers."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap potential crop water use rate in soil layer equation (total compensation) ni
specialized by ap potential crop water use rate in soil layer equation (no compensation) ni
description ap "determines potential plant water use rate in specific soil layer"@en

potential crop water use rate in soil layer equation (total compensation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821589

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Λ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi></mrow></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>Z</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></munderover><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation distributes potential plant water use among soil layers within the root zone using an exponential depth function. A compensation mechanism is employed which allows plants to offset water deficits in dry layers by increasing uptake from wetter layers."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "determines potential plant water use rate in specific soil layer"@en

potential energy operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674109

belongs to
quantity c
has facts
Description (long) ap "In quantum mechanics, this is the operator representing the potential energy of a quantum system. Typically, a function of the positions of the particles. Hence, a multiplicative operator."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap quantum-classical potential ni
related URL ap Hamiltonian (quantum mechanics) ep
related URL ap Q660488 ep
description ap "operator representing the potential energy of a quantum system"@en

potential evaporationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821578

belongs to
quantity c
has facts
Wikidata QID ap "Q7234817"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of evaporation that would occur if a sufficient water source were available"@en

potential harvest indexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821414

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "ratio of crop yield to above ground biomass on a specific day"@en

potential harvest index at maturityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821415

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "ratio of crop yield to above ground biomass"@en

potential heat unitsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821271

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "heat units required for maturity of a crop"@en

potential leaf area development equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821310

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>E</mi><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>H</mi><mi>U</mi><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>L</mi><mi>A</mi><mi>I</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>L</mi><mi>A</mi><mi>I</mi><mo stretchy="false">=</mo><mi>Δ</mi><mi>H</mi><mi>U</mi><mi>F</mi><mo stretchy="false">⋅</mo><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>x</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>5</mn><mo stretchy="false">(</mo><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">−</mo><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>x</mi></mrow></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>E</mi><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></msqrt></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the daily change in leaf area index during the active canopy development phase of crop growth. It applies from crop emergence until the onset of leaf decline and determines the rate at which leaf area expands. The formulation links leaf area development to phenological progress through the heat unit factor while limiting growth as the canopy approaches a crop-specific maximum leaf area index. Crop stress effects are incorporated through a regulating factor that reduces leaf expansion under unfavorable conditions. The equation ensures gradual and biologically realistic canopy expansion prior to senescence."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes daily increase in leaf area index"@en

potential plant evaporation rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821577

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum evaporation rate of crop canopy"@en

potential plant evaporation rate constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821587

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">≤</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>o</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "potential evaporation as upper bound for potential plant evaporation rate"@en

potential plant evaporation rate equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821597

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>o</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>L</mi><mi>A</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation estimates the potential plant evaporation rate as a fraction of the potential evaporation. The fraction depends on canopy development, represented by the leaf area index. The formulation constrains the potential plant evaporation rate so that it does not exceed the potential evaporation. It provides a simple representation of canopy resistance in the plant water use model."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6821595 ep
description ap "estimates potential plant evaporation rate from canopy size and potential evaporation"@en

potential plant water use rate in soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821582

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximal plant water use rate in soil layer"@en

power setni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674093

belongs to
quantity c
has facts
described at URL ap Power set ep
Wikidata QID ap "Q205170"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mathematical set containing all subsets of a given set"@en

predicting simulation error and runtimeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775510

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap simulation behavior prediction by a stochastic model ni
description ap "modelling and predicting the simulation error and run time (depending on numerical parameters)"@en

pressureni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673716

belongs to
quantity kind c
has facts
described at URL ap Pressure ep
Wikidata QID ap "Q39552"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Pressure"@en
specialized by ap fluid pressure (free flow) ni
specialized by ap fluid pressure (porous medium) ni
image ap Pressure%20exerted%20by%20collisions.svg ep
description ap "force applied over an area"@en

probability distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673867

belongs to
quantity c
has facts
described at URL ap Probability distribution ep
Wikidata QID ap "Q200726"@en
Description (long) ap "Mathematical function that describes the probability of occurrence of different possible outcomes in a (real world or statistical computer) experiment."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap classical density (phase space) ni
specialized by ap normal distribution ni
specialized by ap Poisson distribution ni
description ap "statistical function that describes the likelihood of obtaining all possible values that a random variable can take"@en

probability measureni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775752

belongs to
quantity c
has facts
described at URL ap Probability measure ep
Wikidata QID ap "Q355020"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measure of total value one, generalizing probability distributions"@en

probability spaceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775749

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℱ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒫</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>Ω</mi><mo>,</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℱ</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒫</mi></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
described at URL ap Probability space ep
Wikidata QID ap "Q623472"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mathematical construct that provides a formal model of a random process"@en

product 1 concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673801

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of product 1 present in a reaction environment"@en

product 1 concentration ODE (bi bi reaction ordered with single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674189

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en

product 1 concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674181

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>5</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

product 1 concentration ODE (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674216

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en

product 1 concentration ODE (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674237

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

product 2 concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673802

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of product 2 present in a reaction environment"@en

product 2 concentration ODE (bi bi reaction ordered with single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674190

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en

product 2 concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674182

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

product 2 concentration ODE (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674217

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en

product 2 concentration ODE (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674238

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q5704449 ep
named after ap Q6775528 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

product concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674029

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of product present in a reaction environment"@en

product concentration ODE (uni uni reaction)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674546

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an uni uni reaction"@en

product of Poisson distributionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775483

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝕟</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝕞</mi></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>‾</mo></mover></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>‾</mo></mover></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>A</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><msub><mover><mi>B</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><munderover><mo movablelimits="false" stretchy="false">∏</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msubsup><mover><mi>A</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></msubsup><msubsup><mover><mi>B</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">!</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775559 ep
description ap "product of poisson distributions obtained by solving the stationary reaction-diffusion master equation"@en

product of Poisson distributions from the mgRDMEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775484

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝕟</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝕞</mi></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>‾</mo></mover></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>‾</mo></mover></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mrow></munderover><msub><mover><mi>A</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mrow></munderover><msub><mover><mi>B</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><munderover><mo movablelimits="false" stretchy="false">∏</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mover><mi>A</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∏</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mover><mi>B</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775559 ep
description ap "Product Of Poisson Distributions obtained by solving the stationary mgRDME"@en

propensity for the degradation of internalised receptorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773613

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "Propensity for the reaction describing the degradation of Internalised Receptor"@en

propensity functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771931

belongs to
quantity c
has facts
Description (long) ap "For each reaction, there is a propensity function giving the rate (probability per unit of time) for the reaction to occur depending on the system’s state."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap propensity of receptor-ligand complex creation ni
description ap "propensity function giving the rate for a reaction to occur"@en

propensity of degradation of the reaction partnerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773615

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

propensity of dissociation into α- and βγ-subunitsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771937

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity function of the dissociation into α- and βγ-subunits"@en

propensity of G-protein activationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773619

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity of G-protein Activation"@en

propensity of hydrolysis of GTPni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773597

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity for the Hydrolysis of GTP"@en

propensity of inhibition of membrane calcium channelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773604

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity of Inhibition of Membrane Calcium Channel"@en

propensity of internalisation of receptor–ligand complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773599

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity of Internalisation of Receptor–Ligand Complex"@en

propensity of internalised receptor recycled to the cell membraneni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773611

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity of reaction describing the Internalised Receptor being recycled to the cell membrane"@en

propensity of receptor-ligand complex creationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771932

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity function of receptor-ligand complex creation reaction"@en

propensity of reformation of G-protein complex and opening of calcium channelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773608

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity of Reformation of G-Protein Complex and Opening of Calcium Channel"@en

propensity of the vanishing of ligandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773617

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "propensity of the Vanishing of Ligand"@en

proton massni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674106

belongs to
quantity c
has facts
Wikidata QID ap "Q97275155"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
nondimensionalized by ap proton-to-electron mass ratio ni
related URL ap Proton ep
QUDT constant ID ap "ProtonMass"@en
description ap "fundamental physical constant giving the proton rest mass"@en

proton-to-electron mass rationi back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674105

belongs to
quantity c
has facts
described at URL ap Proton to electron mass ratio ep
Wikidata QID ap "Q2912520"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT constant ID ap "Value_ProtonElectronMassRatio"@en

prototypical concrete structuresni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775294

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap plate with a hole ni
description ap "calculating the stresses and strains of various concrete structures such as beams, columns, and shafts"@en

public transport lineni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823139

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "a single path through the PTN"@en

public transport networkni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674342

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mi>T</mi><mi>N</mi><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mi>V</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Wikidata QID ap "Q18325841"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6672216 ep
description ap "graph given by a set of stops or stations and a set of direct connections between them"@en

public transport routeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674044

belongs to
quantity c
has facts
Wikidata QID ap "Q125209036"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "single line in a Public Transport Network (PTN)"@en

quantile function of the beta distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673996

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Quantile function ep
related URL ap Q3489473 ep
description ap "inverse function of the regularized incomplete beta function"@en

quantum conditional quasi-solvabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684604

belongs to
computational task c
has facts
Description (long) ap "For certain Hamiltonians, the concept of Conditional Quasi-Solvability holds: There are exact solutions of the time-independent Schrödinger equation for a certain number of low-lying quantum states (quasi-exact solvability), if and only if certain relations of the parameters of the Hamiltonian hold (conditionally exact solvability). For examples with trigonometric and hyperbolic potentials, see the annotating DOIs."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap quantum eigen energy ni
contains ap quantum state vector (stationary) ni
contains ap time-independent Schrödinger equation ni
contains ap electric field ni
contains ap rotational constant ni
contains ap quantum Hamiltonian (linear rotor) ni
contains ap quantum Hamiltonian (electric polarizability) ni
contains ap quantum Hamiltonian (electric dipole) ni
contains ap quantum Hamiltonian (symmetric top) ni
described by source ap Q6298082 ep
described by source ap Q6672300 ep
described by source ap Q6672301 ep
described by source ap Q6672308 ep
described by source ap Q6672312 ep
description ap "exact solutions of the time-independent Schrödinger equation for a certain number of low-lying states if certain relations of the parameters hold"@en

quantum damping rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534313

belongs to
quantity c
has facts
Description (long) ap "Quantum damping rates can be used - together with quantum jump operators - to describe the dissipation and/or decoherence of the quantum dynamics in a Lindblad equation (for open quantum systems)."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Lindbladian ep
related URL ap Q4476520 ep
similar to ap damping coefficient ni
description ap "rate at which quantum coherence is lost in a system due to interactions with its environment"@en

quantum density operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534315

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap classical density (phase space) ni
specialized by ap quantum state ni
description ap "matrix that describes an ensemble of physical systems as quantum states"@en

quantum eigen energyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534306

belongs to
quantity c
has facts
Description (long) ap "Eigenenergy are obtained as eigenvalues of the Quantum Hamiltonian Operator by solving the time-independent Schrödinger equation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap light particle eigen energy ni
related URL ap Eigenvalues and eigenvectors ep
related URL ap Quantum state ep
related URL ap Q190524 ep
related URL ap Q230883 ep
description ap "quantized energy levels that a quantum system can possess"@en

quantum eigen energy (anharmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674597

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>χ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></munderover><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo>&gt;</mo><mi>s</mi></mrow></mrow></munder><msub><mi>χ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>s</mi></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "Eigenenergies of anharmonic oscillator systems, e.g. molecular vibrations, beyond the harmonic approximation."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap anharmonicity constant (perturbation theory) ni
specialized by ap quantum eigen energy (harmonic) ni
related URL ap Anharmonicity ep
related URL ap Q545228 ep
description ap "eigenenergies of anharmonic oscillator systems"@en

quantum eigen energy (harmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674523

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi alternate="1">ℏ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "Eigenenergies of (single or coupled, for N particles) harmonic oscillators, e.g. molecular vibrations, within the harmonic approximation."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Quantum harmonic oscillator ep
related URL ap Q677864 ep
description ap "eigenenergies of (single or coupled, for N particles) harmonic oscillators"@en

quantum eigen energy (intermolecular)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674525

belongs to
formula c
has facts
Description (long) ap "For simplicity, here only for a chromophore interacting with solvent molecules of a different species. Hence, only non-degenerate perturbation theory (up to 2nd order) is used here. First and second order results for the 0->1 vibrational frequency|energy shifts are given as two separate formulations."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap vibrational frequency shift (1st order) ni
contains ap vibrational frequency shift (2nd order) ni
description ap "eigenenergies of molecular vibrations, including the effects of intermolecular vibrations"@en

quantum eigen energy (linear non-rigid rotor)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674551

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">=</mo><mi>B</mi><mi>j</mi><mo stretchy="false">(</mo><mi>j</mi><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>D</mi><msup><mi>j</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">(</mo><mi>j</mi><mo stretchy="false">+</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap quantum eigen energy (linear rigid rotor) ni
description ap "quantum-mechanical eigen energies of a non-rigid rotor"@en

quantum eigen energy (linear rigid rotor)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674550

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">=</mo><mi>B</mi><mi>j</mi><mo stretchy="false">(</mo><mi>j</mi><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "quantum-mechanical eigen energies of a linear rotor"@en

quantum Hamiltonian (electric charge)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534324

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mo stretchy="false">≡</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">+</mo><mi>q</mi><mi>ϕ</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap quantum Hamiltonian (electric dipole) ni
named after ap Q6481547 ep
description ap "quantum-mechanical Hamiltonian for a particle with an electric charge interacting with external electric fields"@en

quantum Hamiltonian (electric dipole)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674477

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mo stretchy="false">≡</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">−</mo><mi>μ</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mstyle></mrow></math>"@en
Description (long) ap "Semiclassical first order approximation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6481547 ep
description ap "quantum-mechanical Hamiltonian for a system interacting (resonantly) through its permanent dipole moments with external electric fields"@en

quantum Hamiltonian (electric polarizability)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674476

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quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mo stretchy="false">≡</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>α</mi><msup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℰ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "Semiclassical second order approximation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6481547 ep
description ap "quantum-mechanical Hamiltonian for a system interacting (non-resonantly) through its induced dipole moments with external electric fields"@en

quantum Hamiltonian (linear rotor)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674473

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">≡</mo><mi>B</mi><msup><mover><mi>J</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Rigid rotor ep
related URL ap Rotational spectroscopy ep
related URL ap Q2915184 ep
named after ap Q6481547 ep
description ap "quantum-mechanical represention of a molecule as a linear rotor"@en

quantum Hamiltonian (non-rigid rotor)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674478

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>J</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">≡</mo><mi>B</mi><msup><mover><mi>J</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>D</mi><msup><mover><mi>J</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap quantum Hamiltonian (linear rotor) ni
related URL ap Rigid rotor ep
related URL ap Rotational spectroscopy ep
related URL ap Q2915184 ep
named after ap Q6481547 ep
description ap "quantum-mechanical represention of a molecule as a non-rigid rotor"@en

quantum Hamiltonian (normal mode)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674520

belongs to
quantity c
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Description (long) ap "Pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap quantum Hamiltonian (normal mode, anharmonic) ni
specialized by ap quantum Hamiltonian (normal mode, harmonic) ni
specialized by ap quantum Hamiltonian (normal mode, intermolecular) ni
related URL ap Normal mode ep
related URL ap Q900488 ep
named after ap Q6481547 ep
description ap "quantum-mechanical represention of molecular vibrations in terms of normal modes"@en

quantum Hamiltonian (normal mode, anharmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674522

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>p</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>q</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></munderover><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mover><mi>p</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mover><mi>q</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>6</mn></mrow></mfrac></mrow><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi></mrow></mrow></munder><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi></mrow></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>24</mn></mrow></mfrac></mrow><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi><mi>l</mi></mrow></mrow></munder><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi><mi>l</mi></mrow></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap quantum Hamiltonian (normal mode, harmonic) ni
named after ap Q6481547 ep
description ap "quantum-mechanical represention of molecular normal modes of vibration beyond the harmonic approximation"@en

quantum Hamiltonian (normal mode, harmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674524

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>p</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>q</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></munderover><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mover><mi>p</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mover><mi>q</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6481547 ep
description ap "quantum-mechanical represention of molecular normal modes of vibration within the harmonic approximation"@en

quantum Hamiltonian (normal mode, intermolecular)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674526

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>p</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>q</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></munderover><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mover><mi>p</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mover><mi>q</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>6</mn></mrow></mfrac></mrow><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi></mrow></mrow></munder><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi></mrow></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>24</mn></mrow></mfrac></mrow><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi><mi>l</mi></mrow></mrow></munder><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi><mi>l</mi></mrow></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">+</mo><mover><mi>U</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap quantum Hamiltonian (normal mode, anharmonic) ni
named after ap Q6481547 ep
description ap "quantum-mechanical represention of molecular normal modes of vibration, including intermolecular interaction"@en

quantum Hamiltonian (symmetric top)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674552

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>C</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">≡</mo><mi>A</mi><msup><mover><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>B</mi><msup><mover><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>C</mi><msup><mover><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>C</mi></mrow></msub><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "A symmetric top is a molecule in which two moments of inertia are the same. By definition, a symmetric top must have a 3-fold or higher order rotation axis. In practice, spectroscopists divide molecules into two classes of symmetric tops: Oblate symmetric tops (saucer or disc shaped), e.g., C6H6, and Prolate symmetric tops (rugby football, or cigar shaped), e.g. CH3Cl."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap quantum Hamiltonian (linear rotor) ni
related URL ap Q904380 ep
named after ap Q6481547 ep
description ap "quantum-mechanical represention of a molecule as a symmetric top"@en

quantum mechanical operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673966

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap Hamiltonian operator ni
specialized by ap jump operator ni
specialized by ap quantum density operator ni
specialized by ap angular momentum operator ni
specialized by ap kinetic energy operator ni
specialized by ap potential energy operator ni
specialized by ap momentum operator ni
description ap "mathematical construct that corresponds to a physical observable, such as position, momentum, or energy"@en

quantum model (closed system)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675397

belongs to
mathematical model c
has facts
Description (long) ap "A famous example is Schrödinger's cat, but only as long as the box is not opened!"@en
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap quantum time evolution ni
used by ap quantum stationary states ni
community ap Q6534265 ep
contains ap time-dependent Schrödinger equation ni
contains ap initial condition for quantum density ni
contains ap initial condition for quantum state ni
specialized by ap electron shuttling model ni
specialized by ap classical dynamics model ni
specialized by ap dynamical electron scattering model ni
description ap "quantum dynamics of a closed system, i.e., a system that is not interacting with its environment"@en

quantum model (open system)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675432

belongs to
mathematical model c
has facts
Description (long) ap "Quantum dynamics of an open system, i.e., a system that can exchange phase (e.g. in elastic collisions) and/or energy (e.g. in inelastic collisions) with its environment."@en
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap quantum time evolution ni
used by ap balanced truncation (bi-linear) ni
used by ap H2 optimal approximation (bi-linear) ni
community ap Q6534265 ep
contains ap Lindblad equation ni
contains ap initial condition for quantum density ni
specialized by ap quantum model (closed system) ni
description ap "quantum dynamics of an open system, i.e., a system that interacts with its environment"@en

quantum numberni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534309

belongs to
quantity c
has facts
described at URL ap Quantum number ep
Wikidata QID ap "Q232431"@en
Description (long) ap "In quantum physics and chemistry, quantum numbers are quantities that characterize the possible states of the system. Quantum numbers are closely related to eigenvalues of observables. When the corresponding observable commutes with the Hamiltonian, the quantum number is said to be "good", and acts as a constant of motion in the quantum dynamics."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "quantities that characterize the possible states of the system"@en

quantum stateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673968

belongs to
quantity c
has facts
described at URL ap Quantum state ep
Wikidata QID ap "Q230883"@en
Description (long) ap "Abstract (Dirac) notation as a quantum state or wave function in coordinate representation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap quantum state vector (dynamic) ni
specialized by ap quantum state vector (stationary) ni
specialized by ap light particle state vector ni
specialized by ap light particle eigen state ni
description ap "state of an isolated quantum system, represented as an element of a projective Hilbert space"@en

quantum state vector (dynamic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534303

belongs to
quantity c
has facts
Description (long) ap "Abstract (Dirac) notation as dynamic quantum states or wave functions in coordinate representation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap light particle state vector ni
related URL ap Quantum state ep
description ap "solutions of the time-dependent Schrödinger equation, giving the time evolution of a (closed) quantum system"@en

quantum state vector (stationary)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534308

belongs to
quantity c
has facts
Description (long) ap "Abstract (Dirac) notation as stationary quantum states or wave functions in coordinate representation."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap light particle eigen state ni
related URL ap Quantum state ep
description ap "solutions of the time-independent Schrödinger equation, giving stationary states of a (closed) quantum system"@en

quantum stationary statesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534340

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap quantum eigen energy ni
contains ap quantum state vector (stationary) ni
contains ap time-independent Schrödinger equation ni
contains ap Hamiltonian operator (discretized) ni
related URL ap Quantum state ep
corresponds to ap Q6825448 ep
description ap "given a quantum Hamiltonian, the task is to find solutions of the time-independent Schrödinger equation"@en

quantum-classical Hamiltonianni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775472

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">+</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>t</mi><mo>^</mo></mover></mrow></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>^</mo></mover></mrow></mrow></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">≡</mo><mi>h</mi></mrow></mrow></munder></mstyle></mrow></math>"@en
Description (long) ap "Hamiltonian for a system comprising of light/fast and heavy/slow particles, e.g. a molecular system with electrons and nuclei."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Mixed quantum classical dynamics ep
related URL ap Q65091550 ep
named after ap Q6481547 ep
description ap "Hamiltonian for a system with fast and slow degrees of freedom"@en

quantum-classical mass separationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775485

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></mfrac></mrow><mo stretchy="false">≪</mo><mn>1</mn></mstyle></mrow></math>"@en
Description (long) ap "Often the square root (or sometimes the fourth root) of the light-to-heavy mass ratio are used as smallness parameters in defining an asymptotic limit for quantum-classical dynamics"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assuming separation of mass scales is the basis of all quantum-classical dynamics models"@en

quantum-classical potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775398

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi><mo stretchy="false">≡</mo><mi>V</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>R</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "In quantum-classical molecular dynamics, this potential would contain all the (repulsive and attractive) Coulombic interactions between electrons and nuclei"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Mixed quantum classical dynamics ep
related URL ap Q65091550 ep
description ap "total interaction potential of light and heavy particles in quantum-classical models"@en

quasi-Fermi potential for electronsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673829

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q4218431 ep
named after ap Q561497 ep
description ap "for use in semiconductor physics; related to the quasi-Fermi level"@en

quasi-Fermi potential for holesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673832

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q4218431 ep
named after ap Q561497 ep
description ap "for use in semiconductor physics; related to the quasi-Fermi level"@en

radial coordinateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673728

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q116610186"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap particle radius ni
specialized by ap inner cylinder radius ni
specialized by ap outer cylinder radius ni
related URL ap Radius ep
image ap Circle withsegments.svg ep
description ap "coordinate in the polar or spherical coordinate system"@en

radiant intensityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775338

belongs to
quantity c
has facts
described at URL ap Radiant intensity ep
Wikidata QID ap "Q1253365"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "RadiantIntensity"@en
image ap Photometry%20radiometry%20units.svg ep
description ap "intensity of the radiant power in relation to the solid angle"@en

radiation interception equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821312

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mi>A</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mi>A</mi><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϵ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mi>o</mi><mi>n</mi><mi>v</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mi>A</mi><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mi>o</mi><mi>n</mi><mi>v</mi></mrow></mrow></msub><mi>R</mi><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>ϵ</mi><mi>L</mi><mi>A</mi><mi>I</mi></mrow></mrow></msup><msub><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation estimates the amount of photosynthetically active radiation intercepted by a crop canopy using Beer’s law. Incoming solar radiation is converted to photosynthetically active radiation by applying a fixed fraction. The fraction of radiation intercepted by the canopy is modeled as an exponential function of leaf area index. The extinction coefficient represents average light attenuation within the canopy. This formulation links canopy structure directly to available energy for potential biomass production."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6821308 ep
description ap "estimation of photosynthetically active radiation following Beer's law"@en

radiation use efficiency parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821285

belongs to
quantity c
has facts
Description (long) ap "This crop-specific parameter defines the efficiency with which intercepted photosynthetically active radiation is converted into dry matter biomass. It represents physiological and biochemical characteristics of the crop. Higher values indicate more efficient biomass production per unit of absorbed radiation. The parameter is assumed constant under optimal growth conditions."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "converts radiation into biomass"@en

radius of hole in a plateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775583

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "radius of the hole in a plate"@en

Radke-Prausnitz equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821174

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></mfrac></mrow><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>β</mi></mrow></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Radke-Prausnitz exponent constraint ni
specialized by ap Freundlich equation ni
specialized by ap Henry adsorption equation ni
specialized by ap Langmuir equation ni
description ap "three-parameter empirical adsorption equation"@en

Radke-Prausnitz exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821180

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exponent in Radke-Prausnitz model"@en

Radke-Prausnitz exponent assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821177

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for the Radke-Prausnitz exponent"@en

Radke-Prausnitz exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821175

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn><mo stretchy="false">≤</mo><mi>β</mi><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for the Radke-Prausnitz exponent"@en

Radke-Prausnitz isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821173

belongs to
mathematical model c
has facts
Description (long) ap "The Radke-Prausnitz isotherm is an empirical three-parameter adsorption model which is typically applied in adsorption systems when the concentration of the adsorbate is relatively low. Under certain conditions it reduces the Henry, Freundlich, or Langmuir isotherm model"@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Radke-Prausnitz model) ni
community ap Q6534265 ep
contains ap Radke-Prausnitz equation ni
contains ap Radke-Prausnitz exponent constraint ni
specialized by ap Freundlich isotherm model ni
specialized by ap Henry's isotherm model ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821181 ep
description ap "empirical isotherm model for low adsorbate concentrations"@en

Radke-Prausnitz parameter ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821178

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter in Radke-Prausnitz model"@en

Radke-Prausnitz parameter bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821179

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter in Radke-Prausnitz model"@en

random numberni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775403

belongs to
quantity c
has facts
described at URL ap Random number ep
MathWorld ID ap "RandomNumber"@en
Wikidata QID ap "Q1823781"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
has immediate cause ap Q7280368 ep
topic's main category ap Q7280367 ep
Encyclopædia Britannica Online ID ap "science/random-number"@en
Zhihu topic ID ap "19630961"@en
YSO ID ap "19222"@en
Store norske leksikon ID ap "slumptall"@en
image ap D100.jpg ep
subclass of ap Q6482283 ep
field of work ap Q57242 ep
Google Knowledge Graph ID ap "/g/12384pzd"@en
Google Knowledge Graph ID ap "/g/1hbpx2w8f"@en
Online PWN Encyclopedia ID ap "4009045"@en
NDL Authority ID ap "00576776"@en
description ap "numbers that cannot be reasonably predicted"@en

random variableni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775415

belongs to
quantity kind c
has facts
described at URL ap Random variable ep
described at URL ap index.php?title= Random variable ep
MathWorld ID ap "RandomVariable"@en
nLab ID ap "random variable"@en
Treccani's Dizionario di Economia e Finanza ID ap "variabile-aleatoria"@en
Wikidata QID ap "Q176623"@en
Great Russian Encyclopedia portal ID ap "sluchainaia-velichina-9e1bfb"@en
facet of ap statistics ni
ScienceDirect topic ID ap "computer-science/random-variable"@en
ScienceDirect topic ID ap "earth-and-planetary-sciences/random-variable"@en
ScienceDirect topic ID ap "engineering/random-variable-xi"@en
ScienceDirect topic ID ap "mathematics/random-variable"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
ProofWiki ID ap "Definition:Random_Variable"@en
notation ap Q7280373 ep
specialized by ap coefficient simulation behavior prediction global ni
Yale LUX ID ap "concept/d651aab1-531b-4ee4-b834-2f67ee01e6c3"@en
on focus list of Wikimedia project ap Q56557 ep
Arab Encyclopedia concept ID ap "1030"@en
Commons category ap "Random variable"@en
BNCF Thesaurus ID ap "27896"@en
topic's main category ap Q7280371 ep
Freebase ID ap "/m/06dsl"@en
PSH ID ap "7707"@en
Quora topic ID ap "Random-Variable-1"@en
different from ap Q7280372 ep
JSTOR topic ID ap "random-variables"@en
Encyclopædia Britannica Online ID ap "topic/random-variable"@en
spoken text audio ap Vari% C3% A1vel%20aleat% C3% B3ria.ogg ep
described by source ap Q7265151 ep
WordNet 3.1 Synset ID ap "05872761-n"@en
Dewey Decimal Classification ap "519.2"@en
STW Thesaurus for Economics ID ap "15176-2"@en
National Library of Israel J9U ID ap "987007563129305171"@en
union of ap Q56573 ep
Cultureel Woordenboek ID ap "wiskunde/toevalsgrootheid"@en
image ap Random%20 Variable%20as%20a%20 Function en.svg ep
subclass of ap Q6480315 ep
subclass of ap Q7276872 ep
part of ap Q57242 ep
Microsoft Academic ID ap "122123141"@en
IEV number ap "103-08-03"@en
Treccani's Enciclopedia della Matematica ID ap "variabile-aleatoria"@en
Treccani's Enciclopedia della Matematica ID ap "variabile-casuale"@en
OpenAlex ID ap "C122123141"@en
Den Store Danske ID ap "stokastisk_variabel"@en
Online PWN Encyclopedia ID ap "3933828"@en
Bibliothèque nationale de France ID ap "121355344"@en
GND ID ap "4129514-6"@en
Library of Congress authority ID ap "sh85111355"@en
Elhuyar ZTH ID ap "133826"@en
description ap "variable representing a random phenomenon"@en

rapid equilibrium assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674553

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mi>a</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>y</mi><mi>t</mi><mi>i</mi><mi>c</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>u</mi><mi>n</mi><mi>b</mi><mi>i</mi><mi>n</mi><mi>d</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mi>a</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>y</mi><mi>t</mi><mi>i</mi><mi>c</mi></mrow></mrow></msub><mo stretchy="false">≪</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>u</mi><mi>n</mi><mi>b</mi><mi>i</mi><mi>n</mi><mi>d</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "catalytic rate constant mich lower than unbinding rate"@en

rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673694

belongs to
quantity kind c
has facts
described at URL ap Rate (mathematics) ep
Wikidata QID ap "Q1144560"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap rate of change of susceptible cities ni
specialized by ap asymptomatic infection rate ni
specialized by ap asymptomatic recovery rate ni
specialized by ap between population contact rate ni
specialized by ap contact rate ni
specialized by ap reaction rate of enzyme ni
specialized by ap reaction rate of enzyme - product 1 complex ni
specialized by ap reaction rate of enzyme - product 1 - product 2 complex ni
specialized by ap reaction rate of enzyme - substrate 1 complex ni
specialized by ap reaction rate of enzyme - substrate 1 - substrate 2 complex ni
specialized by ap reaction rate of product 1 ni
specialized by ap reaction rate of product 2 ni
specialized by ap reaction rate of substrate 1 ni
specialized by ap reaction rate of substrate 2 ni
specialized by ap reaction rate of enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complex ni
specialized by ap reaction rate of intermediate ni
specialized by ap reaction rate of intermediate - substrate 2 complex ni
specialized by ap reaction rate of enzyme - product 2 complex ni
specialized by ap birth rate ni
specialized by ap relative removal rate ni
specialized by ap initial reaction rate ni
specialized by ap limiting reaction rate (uni uni reaction - forward) ni
specialized by ap reaction rate ni
specialized by ap rate of aging ni
specialized by ap risk of death ni
specialized by ap infected recovery rate ni
specialized by ap rate of switching influencers ni
specialized by ap limiting reaction rate (bi bi reaction ordered mechanism - backward) ni
specialized by ap limiting reaction rate (bi bi reaction ordered mechanism - forward) ni
specialized by ap limiting reaction rate (bi bi reaction ordered mechanism with single central complex - forward) ni
specialized by ap limiting reaction rate (uni uni reaction - backward) ni
specialized by ap limiting reaction rate with inhibitor (uni uni reaction - forward) ni
specialized by ap rate of becoming infectious ni
specialized by ap symptomatic infection rate ni
specialized by ap specific growth rate ni
specialized by ap maximum specific growth rate ni
specialized by ap death rate coefficient ni
specialized by ap biomass growth rate ni
specialized by ap substrate consumption rate ni
specialized by ap Hill limiting reaction rate ni
specialized by ap plant water use rate in soil layer ni
specialized by ap potential plant evaporation rate ni
specialized by ap potential evaporation ni
specialized by ap potential plant water use rate in soil layer ni
description ap "quantity of process intensivity"@en

rate equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6825203

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><munderover><mo movablelimits="false" stretchy="false">∏</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">N</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">s</mi></mrow></mrow></msub></mrow></munderover><msubsup><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>j</mi></mrow></mrow></msub></mrow></msubsup></mstyle></mrow></math>"@en
described at URL ap Rate equation ep
Wikidata QID ap "Q904041"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation that links reaction rate with concentrations of reactants in a chemical reaction"@en

rate of agingni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674000

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "speed at which an individual or population ages"@en

rate of becoming infectiousni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674111

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "inverse of Incubation period"@en

rate of change of infectious in the SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674290

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>I</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><mi>S</mi><mi>I</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap susceptibles at time step n+1 in the discrete SI model ni
description ap "rate of change of infectious individuals in the continuous-time SI model"@en

rate of change of infectious in the SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674292

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>I</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>I</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><mi>S</mi><mo stretchy="false">−</mo><mi>γ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap infectious at time step n+1 in the SIR model ni
description ap "rate of change of infectious individuals in the continuous-time SIR model"@en

rate of change of infectious in the SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674293

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>I</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>I</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><mi>S</mi><mo stretchy="false">−</mo><mi>γ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "rate of change of infectious individuals in the continuous-time SIS model"@en

rate of change of population density fraction of exposed mean ODEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775486

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>s</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mover><mi>e</mi><mo>¯</mo></mover><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≈</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mover><mi>n</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mover><mi>s</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mi>σ</mi><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">−</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mfrac></mrow><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>Γ</mi></mrow></msub><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>D</mi><mi mathvariant="normal">∇</mi><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>d</mi><mi>o</mi></mstyle></mrow></math>"@en
Description (long) ap "Ordinary Differential Equation describing the rate of change of the population density of exposed with a right-hand side contribution from the flux of the PDE solution 𝑒₁ across the interface Γ."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "rate of change of the mean population density of exposed individuals described by an ODE"@en

rate of change of population density fraction of exposed PDEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674554

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>e</mi><mo stretchy="false">=</mo><mo data-mjx-texclass="OP" mathvariant="normal">div</mo><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>D</mi><mi mathvariant="normal">∇</mi><mi>e</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>s</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mi>e</mi><mo stretchy="false">+</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>i</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mi>σ</mi><mi>e</mi><mo stretchy="false">−</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mi>e</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "partial derivative of population density fraction of exposed"@en

rate of change of population density fraction of infectious mean ODEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775487

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mover><mi>i</mi><mo>¯</mo></mover><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≈</mo><mi>σ</mi><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">−</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mfrac></mrow><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>Γ</mi></mrow></msub><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>D</mi><mi mathvariant="normal">∇</mi><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>d</mi><mi>o</mi></mstyle></mrow></math>"@en
Description (long) ap "Ordinary Differential Equation describing the rate of change of the population density of Infectious with a right-hand side contribution from the flux of the PDE solution 𝑖₁ across the interface Γ."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "rate of change of the mean population density of infectious individuals described by an ODE"@en

rate of change of population density fraction of infectious PDEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674555

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>i</mi><mo stretchy="false">=</mo><mo data-mjx-texclass="OP" mathvariant="normal">div</mo><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>D</mi><mi mathvariant="normal">∇</mi><mi>i</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>σ</mi><mi>e</mi><mo stretchy="false">−</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>i</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "partial derivative of population density fraction of infectious"@en

rate of change of population density fraction of removed mean ODEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775488

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>r</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mover><mi>r</mi><mo>¯</mo></mover><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≈</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mfrac></mrow><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>Γ</mi></mrow></msub><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>D</mi><mi mathvariant="normal">∇</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>d</mi><mi>o</mi></mstyle></mrow></math>"@en
Description (long) ap "Ordinary Differential Equation describing the rate of change of the population density of removed with a right-hand side contribution from the flux of the PDE solution 𝑟₁ across the interface Γ."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "rate of change of the mean population density of removed individuals described by an ODE"@en

rate of change of population density fraction of removed PDEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674556

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>r</mi><mo stretchy="false">=</mo><mo data-mjx-texclass="OP" mathvariant="normal">div</mo><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>D</mi><mi mathvariant="normal">∇</mi><mi>r</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>i</mi><mo stretchy="false">+</mo><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mi>e</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "partial derivative of population density fraction of removed"@en

rate of change of population density fraction of susceptibles mean ODEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775489

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>s</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mover><mi>s</mi><mo>¯</mo></mover><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">≈</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mover><mi>n</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mover><mi>s</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mover><mi>i</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mfrac></mrow><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>Γ</mi></mrow></msub><msubsup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mi>D</mi><mi mathvariant="normal">∇</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>d</mi><mi>o</mi></mstyle></mrow></math>"@en
Description (long) ap "Ordinary Differential Equation describing the rate of change of the population density of susceptibles with a right-hand side contribution from the flux of the PDE solution 𝑠₁ across the interface Γ."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "rate of change of the mean population density of susceptible individuals described by an ODE"@en

rate of change of population density fraction of susceptibles PDEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674557

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>s</mi><mo stretchy="false">=</mo><mo data-mjx-texclass="OP" mathvariant="normal">div</mo><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>D</mi><mi mathvariant="normal">∇</mi><mi>s</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>s</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mi>e</mi><mo stretchy="false">+</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>i</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "partial derivative of population density fraction of susceptibles"@en

rate of change of removed in the SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674294

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>R</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>γ</mi><mi>I</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap removed at time step n+1 in the discrete SIR model ni
description ap "rate of change of removed individuals in the continuous-time SIR model"@en

rate of change of susceptible citiesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673751

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate of change of susceptible cities (quantity)"@en

rate of change of susceptibles in the SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674295

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><mi>S</mi><mi>I</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap infectious at time step n+1 in the SI model ni
description ap "rate of change of susceptible individuals in the continuous-time SI model"@en

rate of change of susceptibles in the SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674297

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><mi>S</mi><mi>I</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap susceptibles at time step n+1 in the discrete SIR model ni
description ap "rate of change of susceptible individuals in the continuous-time SIR model"@en

rate of change of susceptibles in the SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674298

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><mi>S</mi><mi>I</mi><mo stretchy="false">+</mo><mi>γ</mi><mi>I</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "rate of change of susceptible individuals in the continuous-time SIS model"@en

rate of switching influencersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674038

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate at which an individual switches the influencer they are following at a given time"@en

rate of switching influencers formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674558

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>η</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">→</mo><mi>l</mi></mrow></mrow></msubsup><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">→</mo><mi>l</mi></mrow></mrow></msubsup><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>η</mi><mi>ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">‖</mo><msub><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">−</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">‖</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>m</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></munderover><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>m</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "Each individual i can at any time t switch its current influencer l′ to another influencer l with a given rate. By setting the pair function to ψ(x) = exp(−x), an individual has an exponentially higher rate to switch to an influencer that has a similar opinion than to an influencer with a very different opinion. This rate of switching influencers is defined by this formulation."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "rate of switching influencers"@en

reaction constant for degradation of internalised receptorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773612

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for the Degradation of Internalised Receptor"@en

reaction constant for dissociation into α- and βγ-subunitsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771933

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for the dissociation into α- and βγ-subunits"@en

reaction constant for G-protein activationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773618

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for G-protein Activation"@en

reaction constant for hydrolysis of GTPni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773595

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant used in the hydrolysis of GTP"@en

reaction constant for inhibition of membrane calcium channelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773601

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for Inhibition of Membrane Calcium Channel reaction"@en

reaction constant for internalisation of receptor–ligand complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773598

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for Internalisation of Receptor–Ligand Complex"@en

reaction constant for internalised receptor recycled to the cell membraneni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773609

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for Internalised Receptor recycled to the cell membrane"@en

reaction constant for receptor-ligand complex creationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771928

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for the creation of receptor-ligand complex"@en

reaction constant for reformation of G-protein complex and opening of calcium channelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773605

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for Reformation of G-Protein Complex and Opening of Calcium Channel"@en

reaction constant for the degradation of the reaction partnerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773614

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for the Degradation of the Reaction Partner"@en

reaction constant for the vanishing of ligandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773616

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction constant for the Vanishing of Ligand"@en

reaction diffusion master equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775490

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒟</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>p</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒟</mi></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo stretchy="false">)</mo><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "corresponds to the system of reactions"@en

reaction diffusion systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775466

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi mathvariant="normal">∅</mi><mo stretchy="false">→</mo><mi>A</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>A</mi><mo stretchy="false">→</mo><mi>B</mi><mo stretchy="false">→</mo><mi mathvariant="normal">∅</mi></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "∅ is interpreted as sources and sinks of molecules. The reaction producing A is locally restricted. A is converted to B at a rate of k₂."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "molecules of Signal (A) are continuously produced and converted into molecules of morphogen (B)"@en

reaction kinetics modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6825204

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap rate equation ni
contains ap particle source and sink equation ni
description ap "model for chemical reaction kinetics"@en

reaction kinetics problemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6825205

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap reaction kinetics model ni
description ap "chemical reaction kinetics using rate equations"@en

reaction operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775378

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">+</mo></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mi>f</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">:</mo><mo stretchy="false">≡</mo></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mi>f</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">+</mo></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">+</mo></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>f</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo stretchy="false">.</mo></mtd></mtr></mtable></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction operator used in the reaction diffusion master equation"@en

reaction orderni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6825207

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "partial order of a reactant or product of a chemical reaction"@en

reaction partnerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774852

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "reaction partner as a species of molecules"@en

reaction rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673957

belongs to
quantity c
has facts
described at URL ap Reaction rate ep
Wikidata QID ap "Q3394849"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap reaction rate of enzyme ni
specialized by ap reaction rate of enzyme - product 1 complex ni
specialized by ap reaction rate of enzyme - product 1 - product 2 complex ni
specialized by ap reaction rate of enzyme - substrate 1 complex ni
specialized by ap reaction rate of enzyme - substrate 1 - substrate 2 complex ni
specialized by ap reaction rate of product 1 ni
specialized by ap reaction rate of product 2 ni
specialized by ap reaction rate of substrate 1 ni
specialized by ap reaction rate of substrate 2 ni
specialized by ap reaction rate of enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complex ni
specialized by ap reaction rate of intermediate ni
specialized by ap reaction rate of intermediate - substrate 2 complex ni
specialized by ap reaction rate of enzyme - product 2 complex ni
specialized by ap initial reaction rate ni
specialized by ap limiting reaction rate (uni uni reaction - forward) ni
specialized by ap limiting reaction rate (bi bi reaction ordered mechanism - backward) ni
specialized by ap limiting reaction rate (bi bi reaction ordered mechanism - forward) ni
specialized by ap limiting reaction rate (bi bi reaction ordered mechanism with single central complex - forward) ni
specialized by ap limiting reaction rate (uni uni reaction - backward) ni
specialized by ap limiting reaction rate with inhibitor (uni uni reaction - forward) ni
specialized by ap Hill limiting reaction rate ni
image ap Rust03102006. J P G ep
description ap "speed at which a chemical reaction proceeds"@en

reaction rate constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673803

belongs to
quantity c
has facts
described at URL ap Reaction rate constant ep
Wikidata QID ap "Q658700"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap quantum damping rate ni
specialized by ap recombination rate for electron hole pairs ni
specialized by ap damping coefficient ni
specialized by ap adsorption rate constant ni
specialized by ap desorption rate constant ni
description ap "quantifies the rate of a chemical reaction"@en

reaction rate of enzymeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673804

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of enzyme - product 1 - product 2 complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673806

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of enzyme - product 1 complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673805

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of enzyme - product 2 complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673822

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673816

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of enzyme - substrate 1 - substrate 2 complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673808

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of enzyme - substrate 1 complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673807

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of intermediateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673819

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of intermediate - substrate 2 complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673820

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of product 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673809

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of product 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673810

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of substrate 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673811

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

reaction rate of substrate 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673812

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reaction rate ep
related URL ap Q3394849 ep
description ap "reaction rate of specific entity"@en

receptorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774835

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "receptor as a species of molecules"@en

receptor-ligand complexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774836

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "receptor-ligand complex as a species of molecules"@en

receptor–ligand complex creationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6771924

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "A ligand L attaches to a receptor, R, in the membrane, resulting in a receptor–ligand complex RL. This binding process is dependent on the concentration of protons (i.e. pH) in the microenvironment of the receptor."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "reaction resulting in a receptor–ligand complex"@en

reciprocal latticeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674030

belongs to
quantity c
has facts
described at URL ap Reciprocal lattice ep
Wikidata QID ap "Q164129"@en
Description (long) ap "In solid state physics, the reciprocal lattice emerges from the Fourier transform of the direct lattice which is a periodic function in physical space, such as a crystal system (usually a Bravais lattice). The reciprocal lattice exists in the mathematical space of spatial frequencies, known as reciprocal space or k space, which refers to the wavevector."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mathematical construct to describe the diffraction patterns of crystals"@en

reciprocal lattice vectorsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674031

belongs to
quantity c
has facts
Description (long) ap "In solid state physics, the reciprocal lattice emerges from the Fourier transform of the direct lattice which is a periodic function in physical space, such as a crystal system (usually a Bravais lattice). The reciprocal lattice exists in the mathematical space of spatial frequencies, known as reciprocal space or k space, which refers to the wavevector."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Reciprocal lattice ep
related URL ap Q164129 ep
description ap "mathematical constructs used in the study of periodic structures"@en

recombination rate for electron hole pairsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673889

belongs to
quantity c
has facts
Description (long) ap "For use in semiconductor physics; strictly speaking, the combined effect of recombination and generation of electron-hole pairs."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "combined rate for recombination and generation of electron-hole pairs"@en

recurrent neural networkni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675322

belongs to
mathematical model c
has facts
described at URL ap Recurrent neural network ep
Wikidata QID ap "Q1457734"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
specialized by ap recurrent neural network surrogate for discrete element method ni
description ap "class of artificial neural network where connections between units form a directed graph along a temporal sequence"@en

recurrent neural network surrogate for discrete element methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675401

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap linear discrete element method ni
described by source ap Q6672210 ep
description ap "surrogate model employing recurrent neural networks to approximate discrete element method simulations"@en

Redlich-Peterson coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821124

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q4760921 ep
named after ap Q6821142 ep
description ap "denominator coefficient in Redlich-Peterson model"@en

Redlich-Peterson constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821123

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q4760921 ep
named after ap Q6821142 ep
description ap "adsorption affinity constant in Redlich-Peterson model"@en

Redlich-Peterson equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821117

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>A</mi><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mi>B</mi><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Redlich-Peterson exponent constraint ni
specialized by ap Freundlich equation ni
specialized by ap Henry adsorption equation ni
specialized by ap Langmuir equation ni
named after ap Q4760921 ep
named after ap Q6821142 ep
description ap "three-parameter hybrid adsorption isotherm equation"@en

Redlich-Peterson exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821125

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q4760921 ep
named after ap Q6821142 ep
description ap "dimensionless exponent controlling adsorption heterogeneity"@en

Redlich-Peterson exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821118

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn><mo stretchy="false">≤</mo><mi>β</mi><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4760921 ep
named after ap Q6821142 ep
description ap "constraint for Redlich-Peterson exponent"@en

Redlich-Peterson isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821116

belongs to
mathematical model c
has facts
Description (long) ap "The Redlich-Peterson isotherm model is a three-parameter empirical adsorption model that combines features of both the Langmuir monolayer isotherm and the Freundlich heterogeneous isotherm. It describes adsorption using a linear dependence on concentration in the numerator and a nonlinear term in the denominator, enabling accurate representation over a wide concentration range. The model does not assume ideal monolayer adsorption and can be applied to both homogeneous and heterogeneous surfaces. Its exponent parameter controls the degree to which the model behaves like Langmuir (β close to 1) or Henry (β close to 0). Because of its versatility, the Redlich-Peterson model frequently provides excellent agreement with experimental data in chemical wastewater treatment and other adsorption applications."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Redlich-Peterson model) ni
community ap Q6534265 ep
contains ap Redlich-Peterson equation ni
contains ap Redlich-Peterson exponent constraint ni
specialized by ap Freundlich isotherm model ni
specialized by ap Henry's isotherm model ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821126 ep
described by source ap Q6821337 ep
described by source ap Q6821604 ep
described by source ap Q6821611 ep
described by source ap Q6821613 ep
named after ap Q4760921 ep
named after ap Q6821142 ep
description ap "empirical hybrid adsorption model combining Langmuir and Freundlich"@en

reduced Planck constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534302

belongs to
quantity c
has facts
Wikidata QID ap "Q2115969"@en
Description (long) ap "A physical constant that is the quantum of action in quantum mechanics. The Planck constant was first described as the proportionality constant between the energy of a photon and the frequency of its associated electromagnetic wave."@en
Description (long) ap "Note that this is the reduced Planck constant, i.e., the Planck constant divided by 2 π; mathematical symbol h-bar."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Planck constant ep
QUDT constant ID ap "PlanckConstant"@en
named after ap Q1832296 ep
description ap "quantum of action in quantum mechanics"@en

reflection coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775700

belongs to
quantity c
has facts
described at URL ap Reflection coefficient ep
Wikidata QID ap "Q1852282"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium"@en

reformation of G-protein complex and opening of calcium channelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773488

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>6</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>6</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>C</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>o</mi><mi>f</mi><mi>f</mi></mrow></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>D</mi><mi>P</mi></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>6</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>6</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mrow data-mjx-texclass="ORD"><mtext>GDP</mtext></mrow></mrow></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mtext>Ca</mtext></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>off</mtext></mrow></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "After dissociation of the βγ-subunit from the calcium channel, a trimeric G-protein complex is reformed, and the calcium channel is opened"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "reformation of G-Protein complex and opening of the calcium channel"@en

regionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673884

belongs to
quantity c
has facts
described at URL ap Region ep
Wikidata QID ap "Q82794"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "area of land that shares common features, which can be either natural or artificial"@en

region connectivityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673885

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "connectivity between regions"@en

relative cylinder angular velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830795

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "relative angular velocity of the two rotating cylinders"@en

relative cylinder radiusni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830796

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>η</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>η</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "ratio of the radii of the two rotating cylinders"@en

relative permittivityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674103

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">r</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">r</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>ε</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Relative permittivity ep
Wikidata QID ap "Q4027242"@en
Description (long) ap "The relative permittivity (in older texts, dielectric constant) is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum. A dielectric is an insulating material, and the dielectric constant of an insulator measures the ability of the insulator to store electric energy in an electrical field. Permittivities may be complex and frequency-dependent."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "permittivity of a material expressed as a ratio with the electric permittivity of a vacuum"@en

relative removal rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673878

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "probability that one infective will be removed from the infection process during a unit time interval"@en

relativistic momentumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674075

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>v</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow></mrow></msqrt></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Relativistic ep
related URL ap Q1068463 ep
description ap "momentum of a particle in special relativity"@en

removedni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674114

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap number of removed individuals ni
description ap "general quantity for removed entities"@en

removed at time step n+1 in the discrete SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674560

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for removed individuals in the SIR Model"@en

removed at time step n+1 in the discrete SIR model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674561

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>β</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for removed individuals in the discrete SIR Model with births and deaths"@en

removed at time step n+1 in the multi-population discrete SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674559

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msubsup><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">+</mo><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>Δ</mi><mi>t</mi><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for removed individuals in the discrete multi-population SIR Model"@en

resonance frequencyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822173

belongs to
quantity c
has facts
described at URL ap Resonanzfrequenz ep
Wikidata QID ap "Q1369335"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Resonance ep
description ap "resonance frequency of an externally driven and damped oscillatory system"@en

Reynolds numberni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674019

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">R</mi><mi mathvariant="normal">e</mi></mrow></mrow><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>u</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ρ</mi><mi>u</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Reynolds number ep
Wikidata QID ap "Q178932"@en
Description (long) ap "At low Reynolds numbers, flows tend to be dominated by laminar (sheet-like) flow, while at high Reynolds numbers, flows tend to be turbulent."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6482903 ep
description ap "dimensionless quantity that is used to help predict similar flow patterns in different fluid flow situations"@en

risk of deathni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674001

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "IncidenceRate"@en
description ap "risk (or hazard) of death, at a certain age"@en

Robin boundary conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775697

belongs to
formula c
has facts
described at URL ap Robin boundary condition ep
Wikidata QID ap "Q748993"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Dirichlet boundary condition ni
specialized by ap Neumann boundary condition ni
specialized by ap Robin boundary condition for particle flux ni
named after ap Q1515302 ep
description ap "linear combination of Dirichlet and Neumann boundary conditions"@en

Robin boundary condition for particle fluxni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775698

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>j</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>h</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi><mo stretchy="false">⋅</mo><mi>j</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>r</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mi>r</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>q</mi><mi>μ</mi><mi>N</mi><mo stretchy="false">⋅</mo><mi>E</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>h</mi></mrow></mrow></msub><mi>n</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q6775696 ep
named after ap Q1515302 ep
description ap "flux boundary condition of the Robin type for a flux of charged particles"@en

Roman archaeologyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684712

belongs to
academic discipline c
has facts
Wikidata QID ap "Q44097629"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap Romanization spreading in northern Tunisia ni
subclass of ap archaeology ni
description ap "archaeological sub-discipline"@en

Romanization parameter estimationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684615

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap spreading curve (approximate) ni
contains ap contact network (time-dependent) ni
contains ap Romanized cities vector ni
contains ap contact network constraint ni
contains ap loss function minimization ni
contains ap spreading rate (time-dependent) constraint ni
description ap "given a set of data points the contact network and time-dependent spreading rate are determined"@en

Romanization spreading in northern Tunisiani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684672

belongs to
research problem c
has facts
Description (long) ap "Understanding the mechanisms and dynamics of Romanization spreading in Northern Tunisia from 146 BC to 350 AD based on sparse and fragmented archaeological data."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap susceptible infectious epidemic spreading model ni
described by source ap Q6672231 ep
description ap "understanding the mechanisms and dynamics of Romanization spreading in northern Tunisia"@en

Romanization time evolutionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684616

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap spreading curve (approximate) ni
contains ap number of susceptible cities ni
contains ap contact network ni
contains ap spreading rate (time-dependent) ni
contains ap susceptible infectious epidemic spreading ODE system ni
description ap "given a set of initially infected cities, a contact network, and a time-dependent spreading rate, the spreading curve for the romanization is calculated"@en

Romanized cities vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674051

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "observed number of Romanized cities"@en

root biomass distribution equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821384

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>R</mi><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>R</mi><mi>W</mi><mi>T</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>R</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mi>Δ</mi><mi>R</mi><mi>W</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></munderover><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation distributes the total daily increase in root biomass among soil layers in proportion to plant water use in each layer. The formulation assumes that layers contributing more to water uptake also receive a larger share of new root growth. Normalization by total water use ensures conservation of total root biomass increment across layers. The approach yields realistic vertical root distributions under non-limiting conditions and dynamically adjusts allocation when soil water or root stress factors reduce water uptake."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "allocates root biomass growth according to water use"@en

root biomass distribution modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821393

belongs to
mathematical model c
has facts
Description (long) ap "This model simulates the vertical distribution of root biomass growth within the soil profile. Newly formed root biomass is allocated among soil layers in proportion to plant water use in each layer. This approach links root development to functional root activity rather than purely geometric depth. Under non-limiting conditions, the formulation produces an exponential decrease in root biomass with depth. When soil water availability or root stress factors constrain growth, both water use and root biomass allocation are reduced accordingly."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of root biomass distribution ni
community ap Q6534265 ep
contains ap root biomass distribution equation ni
contains ap root biomass partitioning model ni
contains ap root weight in soil layer accumulation equation ni
described by source ap Q6821276 ep
description ap "model distributing root biomass growth across soil layers"@en

root biomass partitioning equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821383

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>R</mi><mi>W</mi><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>R</mi><mi>W</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mi>Δ</mi><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>P</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mn>0.4</mn><mo stretchy="false">−</mo><mn>0.2</mn><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the potential daily increase in root biomass by allocating a fraction of total crop biomass growth to the root system. The allocation fraction decreases linearly with phenological development, reflecting empirical observations that crops invest more biomass in roots during early growth stages than at maturity. At emergence, a larger share of biomass is assigned to root growth, while this share is reduced as the crop develops. The formulation represents a simplified biomass partitioning rule rather than an independent root growth process. The resulting root biomass increment is used as input for subsequent root distribution and soil interaction calculations."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes fraction of biomass allocated to roots"@en

root biomass partitioning modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821390

belongs to
mathematical model c
has facts
Description (long) ap "This model computes the potential daily increase in crop root biomass by allocating a fraction of total biomass growth to the root system. The allocation fraction decreases linearly with phenological development, reflecting a shift in carbon partitioning from roots to aboveground organs as the crop matures. At emergence, a larger share of biomass is allocated to roots, while at maturity this share is reduced. The model represents empirical knowledge of crop biomass partitioning in a simplified and deterministic manner. The resulting root biomass increment serves as input for root distribution and soil interaction models."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of root biomass allocation ni
community ap Q6534265 ep
contains ap heat-unit-based phenological development model ni
contains ap potential crop growth model (biomass) ni
contains ap root biomass partitioning equation ni
described by source ap Q6821276 ep
description ap "model allocating biomass growth to the root system"@en

root depth modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821391

belongs to
mathematical model c
has facts
Description (long) ap "This model simulates the temporal development of crop rooting depth during the growing season. Root depth increases as a function of phenological development and approaches a crop-specific maximum under ideal soil conditions. The model assumes that rooting depth expands rapidly early in the growing season and reaches its maximum well before physiological maturity. Root depth is constrained by the depth of the soil profile, preventing unrealistic penetration beyond available soil layers. The simulated rooting depth limits the spatial extent of root biomass distribution and soil resource uptake."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of rooting depth ni
community ap Q6534265 ep
contains ap heat-unit-based phenological development model ni
contains ap rooting depth equation ni
contains ap rooting depth constraint ni
described by source ap Q6821276 ep
description ap "model simulating crop rooting depth development"@en

root weight in soil layer accumulation equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824223

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>R</mi><mi>W</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mi>R</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">−</mo><mn>1</mn><mo>,</mo><mi>l</mi></mrow></mrow></msub><mo stretchy="false">+</mo><mi>Δ</mi><mi>R</mi><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation updates the accumulated root weight in soil layer by adding the daily root weight in soil layer increment to its previous value. It represents the temporal integration of daily root weight production in soil layer over the growing season. The formulation assumes that root weight accumulation is additive and does not impose additional physiological constraints beyond those governing daily production. The equation is applied at each simulation time step to maintain the root weight state variable. It provides the accumulated root weight in soil layer used in subsequent processes, e.g. plant phosphorus uptake."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "accumulates daily root weight in soil layer"@en

root weight in soil layer incrementni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821378

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the root weight increment allocated to a specific soil layer. It is a portion of the total root weight increment."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "daily change in root weight in soil layer"@en

root zone depthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821382

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the depth of the soil profile available for root growth. It constrains the maximum rooting depth that can be attained regardless of crop potential. It reflects physical soil limitations such as bedrock or impermeable layers."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "maximum depth available for root growth in the soil profile"@en

rooting depthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821380

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the vertical extent of the crop root system on a specific day. It defines the maximum soil depth from which roots can extract water and nutrients. Rooting depth increases as the crop develops and is capped by the soil profile depth. The value constrains root biomass distribution and soil–plant exchange processes. It is expressed as a length."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap maximum root depth ni
description ap "depth of roots"@en

rooting depth constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821386

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>Z</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">≤</mo><mi>R</mi><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This constraint limits simulated crop rooting depth to the depth of the soil profile. It prevents roots from extending beyond physically available soil layers. The constraint reflects soil-imposed limitations on root system expansion. It is applied after computing potential rooting depth from phenological development."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "limits rooting depth to soil profile depth"@en

rooting depth equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821385

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>D</mi><mi>M</mi><mi>X</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mn>2.5</mn><mi>R</mi><mi>D</mi><mi>M</mi><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation computes crop rooting depth as a linear function of phenological development represented by the heat unit index. Root depth increases proportionally with heat unit accumulation and approaches a crop-specific maximum under ideal soil conditions. A scaling constant ensures that maximum rooting depth is attained early in the growing season, before physiological maturity. The computed rooting depth is constrained by the soil profile depth, preventing roots from extending beyond the available root zone. The equation provides a simplified representation of root system expansion."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computes crop rooting depth from heat unit index"@en

rotating cylinders constant Ani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830688

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>η</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mo stretchy="false">≡</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mo stretchy="false">−</mo><msup><mi>η</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msup><mi>η</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant used within the analytical solutions for the Taylor-Couette model"@en

rotating cylinders constant Bni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830689

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>η</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi><mo stretchy="false">≡</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msubsup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><mi>μ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msup><mi>η</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant used within the analytical solutions for the Taylor-Couette model"@en

rotating cylinders constant Cni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830690

belongs to
quantity c
has facts
Description (long) ap "Note that for the Taylor-Couette problem/model the pressure field is determined only up to an additional constant C."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant used within the analytical solutions for the Taylor-Couette model"@en

rotating cylinders domainni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830617

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">≤</mo><mi>R</mi><mo stretchy="false">≤</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "computational domain in between the (rotating) cylinders"@en

rotating cylinders inner wallni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830618

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi><mo stretchy="false">(</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mi>Θ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "This condition states that the fluid does not penetrate the cylinder wall and that the fluid does not slip along the wall."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
criterion used ap polar coordinate system ni
description ap "boundary condition: fluid in contact with the inner cylinder wall"@en

rotating cylinders outer wallni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830619

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi><mo stretchy="false">(</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><mi>Θ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup></mstyle></mrow></math>"@en
Description (long) ap "This condition states that the fluid does not penetrate the cylinder wall and that the fluid does not slip along the wall."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
criterion used ap polar coordinate system ni
description ap "boundary condition: fluid in contact with the outer cylinder"@en

rotating cylinders pressure fieldni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830686

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">+</mo><mn>2</mn><mi>A</mi><mi>B</mi><mi>log</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>C</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
local image ap File: Rotating cylinders pressure field( Q6830686).png ep
description ap "analytical solution for the rotating cylinders problem"@en

rotating cylinders velocity fieldni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830685

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Θ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>Θ</mi></mrow></msub><mo stretchy="false">(</mo><mi>R</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>A</mi><mi>R</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
local image ap File: Rotating cylinders velocity field( Q6830685).png ep
description ap "analytical solution for the rotating cylinders problem"@en

rotational constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673746

belongs to
quantity c
has facts
Description (long) ap "In rotational spectroscopy, the energy levels of a molecule are often given in terms of its rotational constant which is inversely proportional to the moment of inertia."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Rotational spectroscopy ep
related URL ap Quantum mechanical linear rigid rotor ep
related URL ap Q904380 ep
description ap "scale of rotational energies in molecular spectroscopy"@en

Runge–Kutta methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674564

belongs to
formula c
has facts
Wikidata QID ap "Q725944"@en
Description (long) ap "These methods, which include the Euler method, were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Euler forward method ni
specialized by ap backward Euler method ni
specialized by ap Euler method ni
related URL ap Runge% E2%80%93 Kutta methods ep
named after ap Q6481028 ep
named after ap Q6775534 ep
description ap "family of implicit and explicit methods used in temporal discretization for the approximate solutions of differential equations"@en

sample spaceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775750

belongs to
quantity c
has facts
described at URL ap Sample space ep
MathWorld ID ap "SampleSpace"@en
Wikidata QID ap "Q467440"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
notation ap Q7266361 ep
notation ap Q7266362 ep
notation ap Q7266363 ep
Commons category ap "Sample space"@en
Freebase ID ap "/m/05qn0"@en
different from ap Q7266364 ep
has part(s) ap Q7266360 ep
Encyclopædia Britannica Online ID ap "topic/sample-space"@en
Australian Educational Vocabulary ID ap "scot/11953"@en
described by source ap Q7265151 ep
subclass of ap Q6480925 ep
Microsoft Academic ID ap "100279318"@en
OpenAlex ID ap "C100279318"@en
said to be the same as ap Q7266365 ep
Online PWN Encyclopedia ID ap "3963647"@en
Online PWN Encyclopedia ID ap "4000881"@en
description ap "set of all possible outcomes or results of a statistical trial or experiment"@en

scaling parameter for switching influencersni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674113

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "scaling parameter used in the rate of switching influencers"@en

scattering coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775414

belongs to
quantity kind c
has facts
Wikidata QID ap "Q105623530"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Scattering ep
description ap "measure for the exponential reduction of a quantity along a path due to scattering"@en

scattering cross sectionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775337

belongs to
quantity c
has facts
described at URL ap Cross section (physics) ep
Wikidata QID ap "Q4843854"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
zbMATH conecept ID ap "scattering cross section"@en
description ap "measure of the probability that a specific process will take place in a collision of two particles"@en

Scharfetter-Gummel schemeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675388

belongs to
mathematical model c
has facts
Description (long) ap "The Scharfetter-Gummel finite volume disretization scheme is the standard numerical method for solving the drift diffusion (aka van Roosbroeck) system describing the semi-classical transport of free electrons and holes in a self-consistent electric field using a drift-diffusion approximation."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap continuity equation for electrons (finite volume) ni
contains ap continuity equation for holes (finite volume) ni
contains ap Poisson equation for the electric potential (finite volume) ni
named after ap Q6775524 ep
named after ap Q6775525 ep
description ap "finite volume disretization scheme for solving the van Roosbroeck system describing the semi-classical transport of free electrons and holes"@en

second condition for positive solutions in the multi population SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674570

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>i</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi><mo stretchy="false">≤</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">−</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></msqrt></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>Δ</mi><mi>t</mi></mrow></msqrt></mrow><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution condition"@en

second condition for positive solutions in the SIR model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674571

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">≤</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>Δ</mi><mi>t</mi></mrow></msqrt></mrow><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution condition"@en

second condition for positive solutions in the SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674572

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi><mi>Δ</mi><mi>t</mi><mo>&lt;</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mi>γ</mi><mi>Δ</mi><mi>t</mi></mrow></msqrt></mrow><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution condition"@en

second condition for positive solutions in the SIS model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674573

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi><mi>Δ</mi><mi>t</mi><mo>&lt;</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>β</mi><mo stretchy="false">+</mo><mi>γ</mi><mo stretchy="false">)</mo><mi>Δ</mi><mi>t</mi></mrow></msqrt></mrow><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "positive solution condition"@en

second eigenvalue of orthogonal matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674091

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "second eigenvalue of an orthogonal matrix"@en

second order differencing methodni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674270

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">=</mo><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">−</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">−</mo><mn>2</mn><mi>i</mi><mi>Δ</mi><mi>t</mi><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo lspace="0" rspace="0">/</mo><mi alternate="1">ℏ</mi><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mo stretchy="false">(</mo><mi>Δ</mi><mi>t</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
Wikidata QID ap "Q115616932"@en
Description (long) ap "Essentially a symmetric (and symplectic!) combination of Euler forward and backward methods."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Euler forward method ni
contains ap backward Euler method ni
similar to ap Verlet integration ni
similar to ap time-dependent Schrödinger equation (differencing scheme) ni
described by source ap Q6672273 ep
described by source ap Q808205 ep
named after ap Q1565702 ep
description ap "propagation scheme for the time-dependent Schrödinger equation based on a time-symmetric explicit Euler scheme"@en

second-moment stochastic process specificationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775753

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd style="padding-bottom: 8pt;" class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mtext>(a)</mtext></mrow><mspace width="0.278em"></mspace></mtd><mtd style="padding-bottom: 8pt;" class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mi>𝔼</mi></mrow><mo stretchy="false">[</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false" lspace="0" rspace="0">+</mo><mi>h</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo><mo stretchy="false">=</mo><mn>0</mn><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mo data-mjx-texclass="OP" mathvariant="normal">Var</mo><mo>&#x2061;</mo><mspace width="-0.167em"></mspace><mo maxsize="1.2em" minsize="1.2em">(</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false" lspace="0" rspace="0">+</mo><mi>h</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo maxsize="1.2em" minsize="1.2em">)</mo><mo stretchy="false">=</mo><mn>2</mn><mspace width="0.167em"></mspace><mi>γ</mi><mo stretchy="false">(</mo><mi>h</mi><mo stretchy="false">)</mo></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd style="padding-bottom: 8pt;" class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mtext>or alternatively</mtext></mrow></mtd><mtd style="padding-bottom: 8pt;" class="mwe-math-columnalign-l"></mtd></mtr><mtr><mtd style="padding-bottom: 8pt;" class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mtext>(b)</mtext></mrow><mspace width="0.278em"></mspace></mtd><mtd style="padding-bottom: 8pt;" class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">{</mo><mtable><mtr><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mi>𝔼</mi></mrow><mo stretchy="false">[</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo><mo stretchy="false">=</mo><mi>m</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mo data-mjx-texclass="OP" mathvariant="normal">Cov</mo><mo>&#x2061;</mo><mspace width="-0.167em"></mspace><mo maxsize="1.2em" minsize="1.2em">(</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi>Z</mi><mo stretchy="false">(</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo stretchy="false">)</mo><mo maxsize="1.2em" minsize="1.2em">)</mo><mo stretchy="false">=</mo><mi>C</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo stretchy="false">)</mo></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>x</mi><mo>,</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo>,</mo><mi>h</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "description of second-moment structure of a stochastic process, including variance, covariance, or variogram relations"@en

SEIR derivative relationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674565

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>s</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>e</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>i</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>r</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "derivative relation"@en

SEIR epidemiological PDE modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775423

belongs to
mathematical model c
has facts
Description (long) ap "Spatial spreading model of SEIR (Susceptible, Exposed, Infectious, and Removed) type in a domain Ω ⊂ ℝ², modeling both the SEIR dynamics and spatial diffusion of infectious individuals. Employing partial differential equations."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Allee effect ni
contains ap integral of the population density fraction of exposed (initial condition) ni
contains ap integral of the population density fraction of infectious (initial condition) ni
contains ap integral of the population density fraction of susceptibles (initial condition) ni
contains ap integral of the total population density (initial condition) ni
contains ap isotropic Gaussian function formulation ni
contains ap fraction of population density of exposed formulation ni
contains ap fraction of population density of infectious formulation ni
contains ap fraction of population density of susceptibles formulation ni
contains ap number of exposed individuals formulation ni
contains ap number of susceptible individuals formulation ni
contains ap rate of change of population density fraction of exposed PDE ni
contains ap rate of change of population density fraction of infectious PDE ni
contains ap rate of change of population density fraction of removed PDE ni
contains ap rate of change of population density fraction of susceptibles PDE ni
contains ap total population density formulation ni
contains ap zero flux condition ni
description ap "susceptible, exposed, infectious, and removed model employing partial differential equations"@en

semiconductor charge neutralityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534341

belongs to
computational task c
has facts
Description (long) ap "At Ohmic contacts, the local charge-neutrality condition is often used to determine the built-in voltage by requiring zero net charge density from mobile carriers and ionized dopants. Unlike global neutrality, which only requires the total integrated charge to vanish, local charge-neutrality applies pointwise. The resulting local charge-neutrality potential can also serve as an initial guess for solving the nonlinear Poisson equation to determine thermodynamic equilibrium."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap band edge energy for conduction band ni
contains ap band edge energy for valence band ni
contains ap effective density of states in the conduction band ni
contains ap effective density of states in the valence band ni
contains ap doping profile ni
contains ap local charge-neutrality potential ni
contains ap local charge-neutrality condition in semiconductors ni
description ap "concept of local charge neutrality in semiconductor"@en

semiconductor current voltageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684618

belongs to
computational task c
has facts
Description (long) ap "In simulations of semiconductor devices, one is usually interested in IV-curves displaying the current voltage charateristics, i.e., the dependence of terminal currents on applied voltages. Therefore, calculating terminal currents accurately is crucial to a successful postprocessing of the simulated field data."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap permittivity of vacuum ni
description ap "calculating IV-curves displaying the current voltage charateristics of a semiconductor device"@en

semiconductor physicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534344

belongs to
academic discipline c
has facts
Wikidata QID ap "Q4483523"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap spin qbit shuttling ni
contains ap charge transport in semiconductor devices ni
image ap Monokristalines%20 Silizium%20f% C3% B Cr%20die%20 Waferherstellung.jpg ep
subclass of ap Q58571 ep
description ap "study of semiconductor materials and devices"@en

semiconductor thermodynamic equilibriumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684617

belongs to
computational task c
has facts
Description (long) ap "Defines semiconductor thermodynamic equilibrium as the solution of the nonlinear Poisson equation. The resulting electrostatic potential is the built-in potential, for which drift and diffusion currents exactly balance each other, yielding zero net current."@en
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap doping profile ni
contains ap built-in potential ni
contains ap nonlinear Poisson equation (Boltzmann approximation) ni
contains ap Dirichlet boundary condition in thermodynamic equilibrium ni
contains ap Neumann boundary condition in thermodynamic equilibrium ni
specialized by ap semiconductor charge neutrality ni
description ap "thermodynamic equilibrium in semiconductors corresponding to zero net current defined by nonlinear Poisson equation"@en

sensitivity analysis of complex kinetic systemsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684555

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
related URL ap Sensitivity analysis ep
related URL ap Q1889114 ep
description ap "study of uncertainty in complex kinetic systems"@en

sensory organ currentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674071

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

sensory organ equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674574

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>λ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>spindle</mtext></mrow></mrow></msub><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>spindle</mtext></mrow></mrow></msub></mrow></munderover><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mi>I</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mi>λ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msubsup><mo>,</mo><msubsup><mover><mi>λ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "representing a sensory organ"@en

sensory organ modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675439

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap sensory organ equation ni
described by source ap Q6668629 ep
description ap "mathematical model to detect macroscopic length change in the muscels and provide the motor neurons with this information."@en

set of speciesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774813

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>o</mi><mi>f</mi><mi>f</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>o</mi><mi>n</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>L</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>w</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>D</mi><mi>P</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>D</mi><mi>P</mi></mrow></mrow></msub><mi>β</mi><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>T</mi><mi>P</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒮</mi></mrow><mo stretchy="false">:</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi>L</mi><mo>,</mo><mi>R</mi><mo>,</mo><mi>R</mi><mi>L</mi><mo>,</mo><mi>R</mi><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>w</mi></mrow></msub><mo>,</mo><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>D</mi><mi>P</mi></mrow></mrow></msub><mi>β</mi><mi>γ</mi><mo>,</mo><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>D</mi><mi>P</mi></mrow></mrow></msub><mo>,</mo><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>T</mi><mi>P</mi></mrow></mrow></msub><mo>,</mo><mi>β</mi><mi>γ</mi><mo>,</mo><mi>M</mi><mo>,</mo><mi>C</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>o</mi><mi>n</mi></mrow></mrow></msub><mo>,</mo><mi>C</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>o</mi><mi>f</mi><mi>f</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">}</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "set of species under consideration in the signalling of G-protein"@en

sigma-algebrani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775751

belongs to
quantity c
has facts
Wikidata QID ap "Q217357"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap % C E% A3 algebra ep
description ap "algebraic structure closed under numerable union, intersection, and complement"@en

signalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775325

belongs to
quantity c
has facts
Description (long) ap "Subscript denotes the compartment."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "molecules of Signal (species of molecules) in the Standard Compartment-Based Morphogen Gradient Model"@en

simple Kriging modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775785

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap second-moment stochastic process specification ni
contains ap known constant mean value assumption ni
description ap "Kriging model with the assumption of a known constant mean value"@en

simulation behavior prediction by a stochastic modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775436

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap compute predictive distribution ni
community ap Q6534265 ep
contains ap simulation behavior prediction global stochastic model ni
contains ap simulation behavior prediction local stochastic model ni
contains ap simulation behavior prediction formulation ni
described by source ap Q6773634 ep
description ap "constists of a global model, that uses a priori knowledge of the simulation to describe global trends, and a local model that describes local deviations from the trend"@en

simulation behavior prediction formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775442

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ln</mi><mo>&#x2061;</mo><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>s</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Combining a global and a local stochastic process on the logarithmic scale."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

simulation behavior prediction global formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775491

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>μ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtext>Student-t</mtext></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>μ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>ln</mi><mo>&#x2061;</mo><mo maxsize="1.623em" minsize="1.623em" data-mjx-texclass="OPEN">(</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>q</mi></mrow></munderover><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo maxsize="1.623em" minsize="1.623em" data-mjx-texclass="CLOSE">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">∼</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mtext>Student-t</mtext></mrow><mo stretchy="false">(</mo><mn>4</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>7</mn><mo stretchy="false">)</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

simulation behavior prediction global stochastic modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775439

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap simulation behavior prediction global formulation ni
description ap "describes known trends in the simulation behavior as a linear combination of basis functions on a logarithmic scale"@en

simulation behavior prediction local formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775492

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒢</mi><mi data-mjx-variant="-tex-calligraphic">𝒫</mi></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">∼</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒢</mi><mi data-mjx-variant="-tex-calligraphic">𝒫</mi></mrow></mrow><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mi>k</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "Gaussian Process (GP) with zero means and covariance k."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

simulation behavior prediction local stochastic modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775440

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap simulation behavior prediction local formulation ni
description ap "describes local deviations from the global model as a zero-mean Gaussian Process with a radial basis function as covariance function"@en

simulation of complex kinetic systemsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684556

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
description ap "study of the time-dependent behavior of complex kinetic systems"@en

simulation of TEM imagesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684619

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
described by source ap Q6672278 ep
described by source ap Q6672323 ep
description ap "simulating TEM (transmission electron microscopy) images by means of the Darwin Howie Whelan equation"@en

Sips equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821135

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Freundlich equation ni
specialized by ap Langmuir equation ni
description ap "nonlinear hybrid adsorption equation combining Freundlich and Langmuir behavior"@en

Sips equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821138

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption affinity constant in Sips model"@en

Sips heterogeneity exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821139

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "exponent describing surface heterogeneity in Sips model"@en

Sips isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821134

belongs to
mathematical model c
has facts
Description (long) ap "The Sips isotherm model, also known as the Langmuir–Freundlich isotherm, is an empirical adsorption model developed to overcome the unbounded adsorption predicted by the classical Freundlich equation. It combines the heterogeneous surface characteristics of the Freundlich model with the finite monolayer adsorption limit of the Langmuir model. At low adsorbate concentrations, the Sips equation behaves like the Freundlich isotherm, while at sufficiently high concentrations it predicts a Langmuir-type saturation capacity. The model assumes localized adsorption without lateral interactions and is commonly used to describe heterogeneous adsorbent surfaces. Sips isotherm parameters are strongly influenced by system conditions such as pH, temperature, and solute concentration."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Sips model) ni
community ap Q6534265 ep
contains ap Sips equation ni
specialized by ap Freundlich isotherm model ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821140 ep
described by source ap Q6821613 ep
description ap "combined Langmuir–Freundlich adsorption model for heterogeneous surfaces"@en

small angle approximationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821155

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>sin</mi><mo>&#x2061;</mo><mi>ϕ</mi><mo stretchy="false">≈</mo><mi>ϕ</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "linearization assuming small angles"@en

social scienceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684703

belongs to
academic discipline c
has facts
described at URL ap Social science ep
Wikidata QID ap "Q34749"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap opinion dynamics ni
image ap Social%20 Network%20 Diagram%20%28segment%29.svg ep
description ap "academic sub-discipline concerned with computational approaches to the social sciences"@en

soil layer indexni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822026

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "integer number identifying a specific soil layer"@en

soil nitrate contentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822025

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap soil nitrate content in root zone ni
description ap "weight of nitrate in soil layer"@en

soil nitrate content in root zoneni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822102

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "weight of nitrate in root zone"@en

soil phosphorus supply equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6824233

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>u</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>W</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>W</mi><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>P</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>P</mi><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>P</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mn>1.5</mn><mi>U</mi><mi>P</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></munderover><mi>L</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>u</mi><mo>,</mo><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>l</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>W</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "Estimates soil phosphorus supply as a multiple of plant phosphorus demand, distributed among soil layers according to root biomass fractions and scaled by a labile phosphorus availability factor."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "root-weighted soil phosphorus supply"@en

soil water contentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821584

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap soil water content of upper soil layer ni
description ap "amount of water stored in a soil layer"@en

soil water content of layer at wilting pointni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821585

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap soil water content of upper soil layer at wilting point ni
description ap "water content of soil layer at wilting point"@en

soil water content of upper soil layerni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822099

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of water stored in top 0.3 m soil"@en

soil water content of upper soil layer at wilting pointni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822100

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of water stored at wilting point in top 0.3 m soil"@en

soil water deficit compensation factorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821583

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "controls redistribution of plant water use between layers"@en

solar declination angleni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821288

belongs to
quantity c
has facts
Description (long) ap "The solar declination angle describes the angular position of the Sun relative to Earth’s equatorial plane. It varies predictably throughout the year due to Earth’s axial tilt. This angle determines the apparent height of the Sun and the length of daylight at a given latitude. It is a standard astronomical variable used in photoperiod calculations."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "angle between Sun and equatorial plane"@en

solar declination angle equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821303

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mn>0.4102</mn><mi>sin</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>365</mn></mrow></mfrac></mrow><mo stretchy="false">(</mo><mi>i</mi><mo stretchy="false">−</mo><mn>80.25</mn><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the solar declination angle for a given simulation day based on Earth’s orbital position. The declination angle represents the angular displacement of the Sun relative to Earth’s equatorial plane and varies periodically over the year. Its seasonal variation is driven by Earth’s axial tilt and revolution around the Sun. The formulation approximates this variation using a sinusoidal function of the day index. The resulting solar declination angle is used in astronomical calculations of daylength and solar radiation geometry."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "determine solar declination angle on a specific day"@en

solar radiationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821301

belongs to
quantity c
has facts
Wikidata QID ap "Q17996169"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap intercepted photosynthetically active radiation ni
description ap "electromagnetic radiation received from the Sun"@en

solar radiation interception modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821358

belongs to
mathematical model c
has facts
Description (long) ap "This model estimates the fraction of incoming solar radiation that is intercepted by a plant canopy. Interception is computed as a function of incoming radiation and canopy structural properties, particularly leaf area index. The model represents attenuation of radiation within the canopy using an exponential formulation derived from physical light extinction principles. It produces an estimate of photosynthetically active radiation available for photosynthesis. The intercepted radiation serves as a key input to biomass production and other radiation-driven processes."@en
MaRDI profile type ap Q6534270 ep
used by ap computation of intercepted photosynthetically active radiation ni
community ap Q6534265 ep
contains ap radiation interception equation ni
contains ap leaf area index model ni
described by source ap Q6821276 ep
description ap "model estimating canopy-intercepted solar radiation"@en

solar system equations of motionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674575

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mover><mi>a</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">≠</mo><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover><mi>G</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">|</mo><msub><mover><mi>r</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><msub><mover><mi>r</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msup><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><msub><mover><mi>r</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><msub><mover><mi>r</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
Description (long) ap "The acceleration of a celestial body can be calculated from Newton's Law of Gravitation. Each body attracts each other body, the total acceleration being the sum of all these attractions."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Numerical model of the Solar System ep
related URL ap Q7069658 ep
description ap "mathematical formulation describing the motion of the planets around the sun"@en

solar system mechanicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684681

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap numerical model of the solar system ni
related URL ap Celestial mechanics ep
related URL ap Solar System ep
related URL ap Q184274 ep
description ap "study of the motion of the planets within our solar system"@en

solute concentration (equilibrium)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775716

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
nondimensionalized by ap solute concentration (equilibrium, dimensionless) ni
description ap "concentration of solute remaining in the solution phase at adsorption equilibrium"@en

solute concentration (equilibrium, dimensionless)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821436

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msubsup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow></mrow><mo stretchy="false">(</mo><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "nondimensionalized concentration of solute remaining in the solution phase at adsorption equilibrium"@en

solve cost minimizing line planning problemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6823145

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap line concept ni
contains ap line costs ni
contains ap line pool ni
contains ap integer problem line planning costs ni
description ap "solve line planning problem by minimizing operational costs"@en

sort ancient Egyptian objectsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684682

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap object comparison model ni
description ap "sort ancient egyptian objects (research problem)"@en

sources and sinksni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775661

belongs to
quantity c
has facts
described at URL ap Sources and sinks ep
Wikidata QID ap "Q131357309"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap recombination rate for electron hole pairs ni
description ap "vector field analogy in physics"@en

spatial predictionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775792

belongs to
research problem c
has facts
Description (long) ap "Spatial prediction is the research problem of estimating the value of a variable at locations where no observations are available, based on measurements taken at other locations and on the spatial structure of the phenomenon under study. It aims to exploit spatial dependence, similarity, and possibly additional covariate information in order to infer unknown values across a spatial domain. Typical objectives include accurate interpolation, uncertainty quantification, and the generation of continuous prediction maps from discrete data. Spatial prediction plays a central role in fields such as geostatistics, environmental science, engineering, and remote sensing, where observations are often sparse, noisy, or irregularly distributed."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap Kriging model ni
modelled by ap simple Kriging model ni
modelled by ap ordinary Kriging model ni
modelled by ap universal Kriging model ni
local image ap File: Spatial interpolation wiki.png ep
description ap "prediction of spatial quantities to unobserved locations"@en

spatial variableni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673904

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "variable that describes a spatial dimension"@en

species transportni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684683

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap diffusion model ni
description ap "transport of chemical species in some substance"@en

specific growth rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775646

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap maximum specific growth rate ni
description ap "specific rate of growth"@en

SPECT known attenuationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775504

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap attenuation distribution ni
contains ap distribution of radioactive tracer ni
contains ap SPECT measured data ni
description ap "single positron emission computer tomography with known attenuation"@en

SPECT measured datani back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775410

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measured data from single positron emission computer tomography"@en

SPECT unknown attenuationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775505

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
contains ap attenuation distribution ni
contains ap distribution of radioactive tracer ni
contains ap SPECT measured data ni
description ap "single positron emission computer tomography where attenuation is not known"@en

speed of light in vacuumni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674048

belongs to
quantity c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msqrt></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Speed of light ep
Wikidata QID ap "Q2111"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
numeric value ap "299792458"@en
QUDT constant ID ap "SpeedOfLight_Vacuum"@en
description ap "speed of electromagnetic waves in vacuum"@en

spherical coordinate systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775605

belongs to
quantity kind c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-l"><mi>x</mi></mtd><mtd><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-l"><mi>r</mi><mi>sin</mi><mo>&#x2061;</mo><mi>θ</mi><mi>cos</mi><mo>&#x2061;</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mi>y</mi></mtd><mtd><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-l"><mi>r</mi><mi>sin</mi><mo>&#x2061;</mo><mi>θ</mi><mi>sin</mi><mo>&#x2061;</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-l"><mi>z</mi></mtd><mtd><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-l"><mi>r</mi><mi>cos</mi><mo>&#x2061;</mo><mi>θ</mi></mtd></mtr></mtable></mstyle></mrow></math>"@en
described at URL ap Spherical coordinate system ep
MathWorld ID ap "SphericalCoordinates"@en
Wikidata QID ap "Q203218"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
contains ap azimuthal angle ni
contains ap polar angle ni
contains ap radial coordinate ni
specialized by ap polar coordinate system ni
zbMATH conecept ID ap "spherical coordinate system"@en
Digital Library of Mathematical Functions ID ap "1.5.E16"@en
Commons category ap "Spherical coordinates"@en
Freebase ID ap "/m/0773d"@en
PSH ID ap "327"@en
Quora topic ID ap "Spherical-Coordinate-System"@en
JSTOR topic ID ap "spherical-coordinates"@en
BabelNet ID ap "02282022n"@en
Encyclopædia Britannica Online ID ap "topic/spherical-coordinate-system"@en
described by source ap Q6480877 ep
image ap Spherical%20 Coordinates%20%28 Colatitude%2 C%20 Longitude%29%20%28b%29.svg ep
subclass of ap Q7272077 ep
subclass of ap Q7274027 ep
subclass of ap Q7274076 ep
Microsoft Academic ID ap "126990412"@en
OpenAlex ID ap "C126990412"@en
Great Russian Encyclopedia Online ID ap "4175888"@en
Den Store Danske ID ap "sfærisk_koordinatsystem"@en
GND ID ap "7521117-8"@en
Elhuyar ZTH ID ap "095929"@en
description ap "coordinate system based around angle and distance from the origin"@en

spherical harmonics expansion (3D)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674514

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ</mi><mo>,</mo><mi>φ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ℓ</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mspace width="0.167em"></mspace><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>ℓ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow></munderover><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msubsup><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><msubsup><mi>Y</mi><mrow data-mjx-texclass="ORD"><mi>ℓ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msubsup><mo stretchy="false">(</mo><mi>θ</mi><mo>,</mo><mi>φ</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "representing a function in 3D in terms of spherical harmonics with distance(radius)-dependent coefficients"@en

spin qbit shuttlingni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534343

belongs to
research problem c
has facts
Description (long) ap "Spin-qubit shuttles are novel functional elements in modular architectures of semiconductor quantum processors, that have the capability of solving the scalability problem. Such coherent quantum links serve to interconnect different processor units and enable the transfer of quantum information over longer distances across the chip by physical transport of electrons."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap electron shuttling model ni
modelled by ap control system ni
modelled by ap control system model (bilinear) ni
local image ap File:3082a.jpg ep
local image ap File:3082b.jpg ep
described by source ap Q6672211 ep
description ap "novel functional elements in modular architectures of semiconductor quantum processors"@en

spreading curve (approximate)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673748

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "approximate spreading curve through time"@en

spreading curve (approximate, formulation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674133

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>τ</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>τ</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mi>t</mi><mspace width="0.167em"></mspace><mo stretchy="false">|</mo><mspace width="0.167em"></mspace><mi>σ</mi><mo>,</mo><mi>i</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">−</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msubsup><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>τ</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>τ</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mo>,</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">−</mo><mi>i</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></msub><mi>d</mi><mi>τ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo stretchy="false">=</mo><mn>1</mn><mo>,</mo><mo stretchy="false">…</mo><mo>,</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap initial number of infected cities ni
description ap "definition of approximate spreading curve through time"@en

spreading rate (time-dependent)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674115

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "time-dependent spreading rate"@en

spreading rate (time-dependent) constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674562

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∀</mi><mspace width="0.167em"></mspace><mi>t</mi><mo stretchy="false">≥</mo><mn>0</mn><mo>,</mo><mspace width="0.167em"></mspace><mn>0</mn><mo stretchy="false">≤</mo><mi>α</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>&lt;</mo><mi mathvariant="normal">∞</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraints applying to time-dependent spreading rate"@en

spring constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673979

belongs to
quantity c
has facts
Wikidata QID ap "Q338261"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant of proportionality in Hooke’s law"@en

stability linear autonomous systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674576

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">ℜ</mi><mo stretchy="false">(</mo><mi>e</mi><mi>i</mi><mi>g</mi><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo>&lt;</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "The asymptotic stability of fixed points of a system of constant coefficient linear differential equations of first order (also known as a linear autonomous system or time-invariant system, ẋ = A·x) can be analyzed using the eigenvalues of the corresponding matrix."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Stability theory ep
related URL ap Q1756677 ep
description ap "condition for the asymptotic stability of fixed points of a system of constant coefficient linear differential equations of first order"@en

standard chemical master equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773624

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>11</mn></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>p</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mo stretchy="false">)</mo><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation describing the overall dynamics of the signalling of G‑protein coupled receptors"@en

standard compartment-based morphogen gradient modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775422

belongs to
mathematical model c
has facts
Description (long) ap "Signaling molecules (A) are produced locally, and morphogen molecules (B) are produced from A. Diffusion corresponds to two chains of chemical reactions (picture)."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap product of Poisson distributions ni
contains ap reaction diffusion master equation ni
contains ap steady state equations ni
contains ap stationary reaction-diffusion master equation ni
assumes ap a produced in first compartment ni
assumes ap reaction diffusion system ni
description ap "standard compartment-based model for morphogen gradient modelling"@en

start of leaf area decline assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821305

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">→</mo><mi>H</mi><mi>U</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption defining the start of leaf area decline in terms of heat unit index"@en

state of system vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773620

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector describing the state of the system"@en

state variableni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674117

belongs to
quantity c
has facts
described at URL ap State variable ep
Wikidata QID ap "Q7603913"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "variable whose value is uniquely determined by the state of a dynamical system"@en

state vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674054

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
contains ap state variable ni
specialized by ap control system state ni
specialized by ap quantum state ni
description ap "vector comprising all the state variables of a system"@en

stationary distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775374

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><munder><mi form="prefix">lim</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mo stretchy="false">→</mo><mi mathvariant="normal">∞</mi></mrow></mrow></munder><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "satisfies the stationary reaction-diffusion master equation"@en

stationary flow assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830684

belongs to
formula c
has facts
described at URL ap num cfd 1.pdf ep
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "In a stationary flow, the velocity and the pressure do not change in time"@en

stationary multi grid reaction diffusion master equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775493

belongs to
formula c
has facts
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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒟</mi></mrow><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒟</mi></mrow><mo>~</mo></mover><mo stretchy="false">+</mo><mover><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo>~</mo></mover><mo stretchy="false">)</mo><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝕟</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝕞</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

stationary Navier-Stokes equationsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830615

belongs to
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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"@en
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defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">⋅</mo><mi mathvariant="normal">∇</mi><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">−</mo><mi>ν</mi><msup><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></mfrac></mrow><mi mathvariant="normal">∇</mi><mi>p</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mover><mi>u</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
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stationary reaction-diffusion master equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775516

belongs to
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defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒟</mi></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow><mo stretchy="false">)</mo><mi>ϕ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐧</mi></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐦</mi></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
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statisticsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q57236

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steady state assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674154

belongs to
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MaRDI profile type ap Q5981696 ep
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steady state equationsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775494

belongs to
formula c
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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"@en
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MaRDI profile type ap Q5981696 ep
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stiffnessni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775421

belongs to
quantity kind c
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Wikidata QID ap "Q569057"@en
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MaRDI profile type ap Q6534271 ep
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stochastic particle based model for clustering dynamicsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775424

belongs to
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MaRDI profile type ap Q6534270 ep
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stochastic processni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775420

belongs to
quantity kind c
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Wikidata QID ap "Q176737"@en
MaRDI profile type ap Q6534271 ep
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QUDT quantity kind ID ap "StochasticProcess"@en
specialized by ap Wiener process ni
specialized by ap Gaussian process ni
specialized by ap global stochastic process ni
specialized by ap local stochastic process ni
description ap "usually defined as a collection of random variables"@en

stochastic process formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775747

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>,</mo><mi>x</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "formulation defining a stochastic process"@en

stoichiometric vectorsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773621

belongs to
quantity c
has facts
Description (long) ap "For each reaction there is a stoichiometric vector defining the net change in the population state. Containing -1, 1 or 0 for when the entity is consumed, produced ot neither respectively. The values are in the same order as the Set of species"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "stoichiometric vectors relating to reactions"@en

stoichiometry matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6825210

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "matrix of stoichiometric coefficients, in chemical reaction kinetics"@en

Stokes Darcy coupling conditionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674577

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Beavers–Joseph-Saffman condition ni
contains ap continuity of the normal mass flux ni
contains ap continuity of the normal stresses ni
named after ap Q1515766 ep
named after ap Q6773640 ep
description ap "coupling free flow of an incompressible fluid (Stokes) to a flow in/through a permeable media (Darcy)"@en

Stokes Darcy equation (discretized, pv)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674578

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable><mtr><mtd><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">[</mo><mtable><mtr><mtd><mi>V</mi></mtd><mtd><mi>B</mi></mtd></mtr><mtr><mtd><mi>C</mi></mtd><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">]</mo></mrow></mtd><mtd><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">[</mo><mtable><mtr><mtd><mi>B</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">]</mo></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">[</mo><mtable><mtr><mtd><mi>C</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">]</mo></mrow></mtd><mtd><msup><mi>D</mi><mo>&#x2032;</mo></msup></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable><mtr><mtd><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">[</mo><mtable><mtr><mtd><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">]</mo></mrow></mtd></mtr><mtr><mtd><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable><mtr><mtd><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">[</mo><mtable><mtr><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">]</mo></mrow></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "Equation (9) from the referenced 2021 arXiv manuscript by Schmalfuss et al.: Discrete model of Stokes-Darcy as a pressure-velocity (pv) formulation, to be solved for every time step."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
corresponds to ap Q6825573 ep
described by source ap Q6376356 ep
named after ap Q1515766 ep
named after ap Q6773640 ep
description ap "discrete model of Stokes-Darcy as a pressure-velocity (pv) formulation"@en

Stokes Darcy equation (discretized, td)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674579

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable><mtr><mtd><msup><mi>A</mi><mo>&#x2032;</mo></msup></mtd><mtd><msup><mi>B</mi><mo>&#x2032;</mo></msup></mtd></mtr><mtr><mtd><msup><mi>C</mi><mo>&#x2032;</mo></msup></mtd><mtd><msup><mi>D</mi><mo>&#x2032;</mo></msup></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable><mtr><mtd><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>m</mi></mrow></mrow></msup></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable><mtr><mtd><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
Description (long) ap "Equation (8) from the referenced 2021 arXiv manuscript by Schmalfuss et al.: Discrete model of Stokes-Darcy as a two-domain (td) formulation, to be solved for every time step."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
corresponds to ap Q6825573 ep
described by source ap Q6376356 ep
named after ap Q1515766 ep
named after ap Q6773640 ep
description ap "discrete model of Stokes-Darcy as a two-domain (td) formulation"@en

Stokes Darcy modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675408

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Stokes Darcy coupling conditions ni
contains ap Darcy model ni
contains ap Stokes model ni
discretized by ap Stokes Darcy model (discretized) ni
described by source ap Q6376356 ep
named after ap Q1515766 ep
named after ap Q6773640 ep
description ap "free flow model of an incompressible fluid (Stokes model) coupled to a flow in/through a permeable media (Darcy equation)"@en

Stokes Darcy model (discretized)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675441

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Stokes Darcy equation (discretized, pv) ni
contains ap Stokes Darcy equation (discretized, td) ni
contains ap Darcy model (discretized) ni
contains ap Stokes model (discretized) ni
described by source ap Q2217142 ep
named after ap Q1515766 ep
named after ap Q6773640 ep
description ap "discretized version of a Stokes Darcy model for the incompressible flow in/through porous media"@en

Stokes equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674516

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>v</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>ν</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">∇</mi><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup><mo stretchy="false">+</mo><mi mathvariant="normal">∇</mi><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">f</mi><mi mathvariant="normal">f</mi><mo>,</mo><mi mathvariant="normal">T</mi></mrow></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><msup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup><mi>I</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mi>f</mi></mrow></mrow></msup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr></mtable></mstyle></mrow></math>"@en
described at URL ap Stokes equation ep
Wikidata QID ap "Q7618547"@en
Description (long) ap "Stokes equation describes a fluid flow with small advective inertial forces compared to viscous forces, with a low Reynolds number. It occurs in situations with very slow fluid velocities, high viscosities, or small flow length scales."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap Stokes equation (Euler backward) ni
discretized by ap Stokes equation (finite volume) ni
assumes ap creeping flow assumption ni
related URL ap Stokes flow ep
related URL ap num cfd 1.pdf ep
named after ap Q1515766 ep
description ap "describes a fluid flow with small advective inertial forces compared to viscous forces"@en

Stokes equation (Euler backward)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674350

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1515766 ep
named after ap Q6480817 ep
description ap "discretizing the Stokes equation by a first-oder backward Euler scheme in time"@en

Stokes equation (finite volume)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674357

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1515766 ep
description ap "discretizing the Stokes equation by a finite volume scheme in space"@en

Stokes modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675409

belongs to
mathematical model c
has facts
Description (long) ap "The Stokes model describes a fluid flow with small advective inertial forces compared to viscous forces, with a low Reynolds number. It occurs in situations with very slow fluid velocities, high viscosities, or small flow length scales."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Stokes equation ni
discretized by ap Stokes model (discretized) ni
assumes ap creeping flow assumption ni
related URL ap Stokes flow ep
related URL ap Q7618547 ep
named after ap Q1515766 ep
description ap "describes a fluid flow with small advective inertial forces compared to viscous forces"@en

Stokes model (discretized)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675442

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap Stokes equation (Euler backward) ni
contains ap Stokes equation (finite volume) ni
named after ap Q1515766 ep
description ap "discretized version of a Stokes model for a fluid flow with small advective inertial forces compared to viscous forces"@en

strain tensorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775576

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>u</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝜺</mi></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝒖</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>𝒖</mi></mrow><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>𝒖</mi></mrow><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">⊤</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
described at URL ap Strain tensor ep
Wikidata QID ap "Q3083131"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "symmetric tensor quantity of the strain caused by stress in matter"@en

strength of attractive forcesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775332

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

strength of materialsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775293

belongs to
academic discipline c
has facts
described at URL ap Strength of materials ep
Wikidata QID ap "Q240553"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap prototypical concrete structures ni
image ap Discorsi%20e%20dimostrazioni%20matematiche%20intorno%20% C3% A0%20due%20nuoue%20scienze%20di%20 Galileo%20 Galilei%20%28 Leida%2 C%201638%29.tif ep
description ap "methods of calculating displacements, stresses, and strains in deformable bodies"@en

strength of repulsive forcesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775333

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep

stress free muscle lengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674100

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "length at which a muscle generates minimal or no passive tension"@en

stress free tendon lengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674118

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "length of a tendon when it is not under any tension or stress"@en

stress of crystalni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673943

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap eigenstress of crystal ni
description ap "stress of a crystal used in theory of elasticity"@en

stress tensorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775577

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap Piola-Kirchhoff stress tensors ni
specialized by ap Cauchy stress tensor ni
specialized by ap stress tensor (analytic solution) ni
description ap "tensor that describes the state of stress at a point inside a material"@en

stress tensor (analytic solution)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775628

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "analytic solution for the stress tensor"@en

stress tensor (deviation)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775629

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mo stretchy="false">≡</mo><mo stretchy="false">|</mo><mi>σ</mi><mo stretchy="false">−</mo><msub><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo stretchy="false">|</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "deviation of the stress tensor from the analytic solution"@en

strong formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775640

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
opposite of ap weak formulation ni
description ap "mathematical concept: strong formulation of a PDE"@en

structural loadni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775581

belongs to
quantity c
has facts
described at URL ap Structural load ep
Wikidata QID ap "Q7964839"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "forces, deformations, or accelerations applied to a structure or its components"@en

student's t-distributionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775411

belongs to
quantity c
has facts
described at URL ap Student%27s t distribution ep
Wikidata QID ap "Q576072"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "probability distribution Student's distribution or t-distribution"@en

subcellular DAE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674580

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ion</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mi>G</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow><mo>,</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ion</mtext></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ion</mtext></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>f</mtext></mrow></mrow></msubsup><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐲</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "A differential-algebraic equation systems that describes the muscle stress generation an a microscopic scale by means of internal state variables and describes the activation of the ion channels."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "differential-algebraic equation systems that describes the muscle stress generation"@en

subcellular modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675443

belongs to
mathematical model c
has facts
Description (long) ap "Determines the lumped activation parameter and models the activation of ion channels in response to changes in the muscle fibers transmembrane."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap subcellular DAE system ni
described by source ap Q6668629 ep
description ap "determines the lumped activation parameter and models the activation of ion channels"@en

substrate 1 concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673813

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of substrate 1 present in a reaction environment"@en

substrate 1 concentration ODE (bi bi reaction ordered with single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674191

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en

substrate 1 concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674183

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

substrate 1 concentration ODE (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674218

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en

substrate 1 concentration ODE (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674239

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

substrate 2 concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673814

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "amount of substrate 2 present in a reaction environment"@en

substrate 2 concentration ODE (bi bi reaction ordered with single central complex)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674192

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en

substrate 2 concentration ODE (bi bi reaction ordered)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674184

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en

substrate 2 concentration ODE (bi bi reaction ping pong)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674219

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mo stretchy="false">∗</mo></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en

substrate 2 concentration ODE (bi bi reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674240

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q6775528 ep
description ap "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en

substrate concentrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673927

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap substrate 1 concentration ni
specialized by ap substrate 2 concentration ni
specialized by ap Monod constant ni
specialized by ap inhibition constant (Andrews) ni
description ap "amount of substrate present in a reaction environment"@en

substrate concentration ODE (uni uni reaction)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674581

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the concentration over time in a uni uni reaction"@en

substrate consumption rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775672

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "rate of change of substrate concentration over time"@en

substrate kinetic equation (Haldane)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775677

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Y</mi><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mi>X</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Andrews specific growth rate equation ni
specialized by ap biomass-substrate kinetic equations (Monod) ni
description ap "equation describing the rate of change of substrate concentration over time following Haldane"@en

substrate kinetic equation (Monod)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775675

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>a</mi><mi>x</mi></mrow></mrow></msub><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Y</mi><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mi>X</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Monod specific growth rate equation ni
description ap "equation describing the rate of change of substrate concentration over time following Monod"@en

surface energy distribution equation (Jossens)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821204

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>R</mi><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>F</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "relation between energy distribution and temperature"@en

surface energy distribution parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821212

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter related to surface energy state distribution"@en

surface force densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673845

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "force per unit area acting on a surface"@en

susceptible cities ODEni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674582

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>n</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mi>α</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mrow></munderover><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>n</mi></mrow></mrow></msub><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "ordinary differential equation describing the rate of change of susceptible cities"@en

susceptible infectious epidemic spreading modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675419

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap Romanization parameter estimation ni
used by ap Romanization time evolution ni
community ap Q6534265 ep
contains ap initial number of infected cities ni
contains ap susceptible infectious epidemic spreading ODE system ni
described by source ap Q6672231 ep
description ap "model for the susceptible infectious epidemic spreading on a network with time-dependent spreading rate."@en

susceptible infectious epidemic spreading ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674563

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>n</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mi>α</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mrow></munderover><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mi>n</mi></mrow></mrow></msub><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap conservation of city numbers ni
contains ap susceptible cities ODE ni
description ap "equations describing the spreading in a susceptible infectious epidemic model on a network with time-dependent spreading rate"@en

susceptible infectious modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675167

belongs to
mathematical model c
has facts
Wikidata QID ap "Q2206164"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap rate of change of infectious in the SI model ni
contains ap rate of change of susceptibles in the SI model ni
contains ap initial condition for the continuous SI model and SIS model ni
discretized by ap discrete susceptible infectious model ni
described by source ap Q1340492 ep
description ap "continuous-time model for the spreading of infectious diseases considering susceptible and infectious individuals"@en

susceptible infectious removed modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675169

belongs to
mathematical model c
has facts
Wikidata QID ap "Q2206263"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap rate of change of infectious in the SIR model ni
contains ap rate of change of removed in the SIR model ni
contains ap rate of change of susceptibles in the SIR model ni
contains ap initial condition for the continuous SIR model ni
discretized by ap discrete susceptible infectious removed model ni
related URL ap The S I R model ep
described by source ap Q1340492 ep
description ap "continuous-time model for the spreading of infectious diseases considering susceptible, infectious and recovered/removed individuals"@en

susceptible infectious susceptible modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675171

belongs to
mathematical model c
has facts
Wikidata QID ap "Q2351772"@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap rate of change of infectious in the SIS model ni
contains ap rate of change of susceptibles in the SIS model ni
contains ap initial condition for the continuous SI model and SIS model ni
discretized by ap discrete susceptible infectious susceptible model ni
related URL ap Other compartmental models ep
described by source ap Q1340492 ep
description ap "continuous-time model for the spreading of infectious diseases with temporary resistance considering susceptible and infectious individuals"@en

susceptiblesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674120

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap number of susceptible cities ni
specialized by ap number of susceptible individuals ni
description ap "general quantity for susceptible entities"@en

susceptibles at time step n +1 in the discrete multi population SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674583

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></mfrac></mrow><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "susceptibles in the discrete, multi-population SI model"@en

susceptibles at time step n +1 in the discrete multi population SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674584

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></mfrac></mrow><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "susceptibles in the discrete, multi-population SIR model"@en

susceptibles at time step n +1 in the discrete multi population SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674585

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo stretchy="false">=</mo><msubsup><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>α</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></mfrac></mrow><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><msub><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>Δ</mi><mi>t</mi><msubsup><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "susceptibles in the discrete, multi-population SIS model"@en

susceptibles at time step n+1 in the discrete SI modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674291

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo lspace="0" rspace="0">/</mo><mi>a</mi><mi>l</mi><mi>p</mi><mi>h</mi><mi>a</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for the susceptibles in the SI model"@en

susceptibles at time step n+1 in the discrete SIR modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674586

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for the susceptibles in the SIR model"@en

susceptibles at time step n+1 in the discrete SIR model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674587

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><mi>β</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">−</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for the susceptibles in the SIR model with births and deaths"@en

susceptibles at time step n+1 in the discrete SIS modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674588

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for the susceptibles in the SIS model"@en

susceptibles at time step n+1 in the discrete SIS model with births and deathsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674589

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>β</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>γ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>Δ</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>γ</mi><mi>Δ</mi><mi>t</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><mi>β</mi><mi>Δ</mi><mi>t</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">−</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "equation for the susceptibles in the SIS model with births and deaths"@en

Sylvester equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674590

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mi>X</mi><mo stretchy="false">+</mo><mi>X</mi><mi>B</mi><mo stretchy="false">=</mo><mi>C</mi></mstyle></mrow></math>"@en
described at URL ap Sylvester equation ep
Wikidata QID ap "Q3730848"@en
Description (long) ap "Due to the different sizes of A, B, C, the matrix X will be rectangular in general."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Lyapunov equation ni
specialized by ap Lyapunov generalized controllability ni
specialized by ap Lyapunov generalized observability ni
specialized by ap Lyapunov equation controllability ni
specialized by ap Lyapunov equation observability ni
specialized by ap Sylvester equation controllability ni
specialized by ap Sylvester equation observability ni
described by source ap Q1543344 ep
named after ap Q6481024 ep
description ap "matrix equation, typically used in the field of control theory"@en

Sylvester equation controllabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674378

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>A</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>B</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mi>X</mi><mo stretchy="false">+</mo><mi>X</mi><msup><mover><mi>A</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">+</mo><mi>B</mi><msup><mover><mi>B</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the Lyapunov equations for the calculations of Gramians."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Lyapunov equation controllability ni
named after ap Q6481024 ep
description ap "Sylvester equation for the controllability of a linear control system"@en

Sylvester equation observabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674464

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Y</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>A</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>C</mi><mo>~</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>A</mi><mo>~</mo></mover><mi>Y</mi><mo stretchy="false">+</mo><mi>Y</mi><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">−</mo><mi>C</mi><msup><mover><mi>C</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the Lyapunov equations for the calculations of Gramians. However, note the sign change in the CC term."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Lyapunov equation observability ni
named after ap Q6481024 ep
description ap "Sylvester equation for the observability of a linear control system"@en

Sylvester generalized controllabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674376

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mi>X</mi><mo stretchy="false">+</mo><mi>X</mi><msup><mover><mi>A</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">+</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>X</mi><msubsup><mover><mi>N</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msubsup><mo stretchy="false">+</mo><mi>B</mi><msup><mover><mi>B</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the generalized Lyapunov equations for the calculations of generalized Gramians."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Lyapunov generalized controllability ni
specialized by ap Sylvester equation controllability ni
named after ap Q6481024 ep
description ap "generalized Sylvester equation for the controllability of a bi-linear control system"@en

Sylvester generalized observabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674377

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>A</mi><mo>~</mo></mover><mi>Y</mi><mo stretchy="false">+</mo><mi>Y</mi><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">+</mo><munder><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mover><mi>N</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>Y</mi><msubsup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msubsup><mo stretchy="false">−</mo><mi>C</mi><msup><mover><mi>C</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msup><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
Description (long) ap "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the generalized Lyapunov equations for the calculations of generalized Gramians. However, note the sign change in the CC term."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Sylvester equation observability ni
named after ap Q6481024 ep
description ap "generalized Sylvester equation for the observability of a bi-linear control system"@en

symmetric top (combined)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675444

belongs to
mathematical model c
has facts
Description (long) ap "Modeling a polar oblate (e.g. C6H6) or prolate (e.g. CH3Cl) molecule as a rigid symmetric top, interacting through both its permanent and induced electric dipole moment with electric fields. Note that analytical solutions to the TISE are available, see corresponding Task."@en
MaRDI profile type ap Q6534270 ep
used by ap optimal control ni
used by ap quantum time evolution ni
used by ap quantum stationary states ni
used by ap quantum conditional quasi-solvability ni
community ap Q6534265 ep
contains ap molecular alignment ni
contains ap molecular orientation ni
description ap "modeling a polar oblate or prolate molecule as a rigid symmetric top, interacting with electric fields"@en

symmetry analysis in TEM imagesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684621

belongs to
computational task c
has facts
MaRDI profile type ap Q6534272 ep
community ap Q6534265 ep
described by source ap Q6672323 ep
description ap "symmetry analysis of TEM (Transmission Electron Microscopy) images of crystals with strain"@en

symptomatic infection rateni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674112

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Infection rate ep
related URL ap Q28454687 ep
description ap "constant representing the symptomatic infection rate"@en

system state probabilityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773623

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝑿</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">:=</mo><mrow data-mjx-texclass="ORD"><mi>ℙ</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝑿</mi></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mo stretchy="false">∣</mo><mrow data-mjx-texclass="ORD"><mi>𝑿</mi></mrow><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "probability of a dynamic system being in a particular state at a specific time"@en

tangential interaction force equation between two particlesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674591

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝒕</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow></msub><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>p</mi><mi>r</mi><mi>e</mi></mrow></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">−</mo><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><msub><mrow data-mjx-texclass="ORD"><mi>𝝃</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><msub><mover><mrow data-mjx-texclass="ORD"><mi>𝝃</mi></mrow><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mtext mathvariant="bold">𝐢𝐟</mtext><mspace width="0.278em"></mspace><mspace width="0.278em"></mspace><mo stretchy="false">‖</mo><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi></mrow></mrow></msubsup><mo stretchy="false">‖</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">≤</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>μ</mi><mo stretchy="false">‖</mo><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup><mo stretchy="false">‖</mo><mspace width="0.278em"></mspace><mspace width="0.278em"></mspace><mtext mathvariant="bold">𝐭𝐡𝐞𝐧</mtext><mspace width="0.278em"></mspace><mspace width="0.278em"></mspace><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><mo stretchy="false">=</mo><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>p</mi><mi>r</mi><mi>e</mi></mrow></mrow></msubsup><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mtext mathvariant="bold">𝐞𝐥𝐬𝐞</mtext><mspace width="0.278em"></mspace><mspace width="0.278em"></mspace><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mi>μ</mi><mo stretchy="false">‖</mo><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup><mo stretchy="false">‖</mo><mrow data-mjx-texclass="ORD"><mi>𝒕</mi></mrow><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mspace width="2em"></mspace><mtext mathvariant="bold">𝐰𝐡𝐞𝐫𝐞:</mtext></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi></mrow></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">−</mo><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><msub><mrow data-mjx-texclass="ORD"><mi>𝝃</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mrow data-mjx-texclass="ORD"><mi>𝝃</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mi>i</mi></mrow></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow></msub><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mover><mrow data-mjx-texclass="ORD"><mi>𝝃</mi></mrow><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">⟨</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒗</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝒕</mi></mrow><mo stretchy="false">⟩</mo><mrow data-mjx-texclass="ORD"><mi>𝒕</mi></mrow><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mi>𝒕</mi></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi>𝝃</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">‖</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝝃</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">‖</mo></mrow></mrow></mfrac></mrow><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup><mo lspace="0" rspace="0">/</mo><mn>1.2</mn><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>π</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo></mtd><mtd class="mwe-math-columnalign-r"><mn>2</mn><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msubsup><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msubsup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow></mrow></msqrt></mrow><mo stretchy="false">.</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap Coulomb friction condition between two particles ni
description ap "defining equation of force component acting tangentially at the contact interface between two particles"@en

tangential stiffnessni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775354

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Stiffness ep
related URL ap Q569057 ep
description ap "proportion of stiffness acting in tangential direction with contact between moving objects"@en

Taylor–Couette flowni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830614

belongs to
research problem c
has facts
described at URL ap Taylor% E2%80%93 Couette flow ep
Wikidata QID ap "Q3151656"@en
Description (long) ap "The stationary flow of an incompressible fluid confined in between two rotating cylinders of different radii and angular velocities is a well-known benchmark problem in numerical fluid dynamics. For low relative angular velocities and for a small gap (relative to the diameters of the cylinders), i.e., for a Reynolds number, the flow is steady and purely azimuthal, for which case an analytical solution exists."@en
MaRDI profile type ap Q6534269 ep
describes a project that uses ap Q16496 ep
community ap Q6534265 ep
modelled by ap Taylor–Couette model ni
related URL ap guide applications solvers incompressible simple Foam.html ep
related URL ap verification validation rotating cylinders 2d.html ep
described by source ap Q6830687 ep
image ap Couette Taylor System.png ep
named after ap Q1512328 ep
named after ap Q564419 ep
description ap "viscous fluid confined in the gap between two rotating cylinders of different radii and angular velocities"@en

Taylor–Couette modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830616

belongs to
mathematical model c
has facts
Description (long) ap "For low relative angular velocities and for small gap (relative to the diameters of the cylinders), i.e., for a small Reynolds number, the flow is steady and purely azimuthal."@en
MaRDI profile type ap Q6534270 ep
used by ap rotating cylinders task: velocity and pressure ni
community ap Q6534265 ep
contains ap stationary Navier-Stokes equations ni
contains ap rotating cylinders domain ni
contains ap rotating cylinders inner wall ni
contains ap rotating cylinders outer wall ni
contains ap rotating cylinders velocity field ni
contains ap rotating cylinders pressure field ni
local image ap File: Rotating cylinders boundary conditions.png ep
assumes ap creeping flow assumption ni
related URL ap Taylor% E2%80%93 Couette flow ep
related URL ap Q3151656 ep
described by source ap Q6830687 ep
named after ap Q1512328 ep
named after ap Q564419 ep
description ap "modelling the dynamics of a viscous fluid in the gap between two rotating cylinders in terms of a stationary Navier Stokes"@en

Temkin equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820958

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6820993 ep
description ap "adsorption equilibrium parameter in the Temkin model"@en

Temkin isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820961

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>Q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Δ</mi><mi>Q</mi></mrow></mrow></mfrac></mrow><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
linearized by ap linear Temkin isotherm equation ni
named after ap Q6820993 ep
description ap "adsorption isotherm with logarithmic dependence on concentration"@en

Temkin isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820955

belongs to
mathematical model c
has facts
Description (long) ap "The Temkin isotherm model is an empirical adsorption model that assumes the heat of adsorption decreases linearly with increasing surface coverage because of adsorbate–adsorbent interactions. Unlike Langmuir, it does not assume a constant adsorption energy but instead introduces a uniform distribution of binding energies up to a maximum value. This results in a logarithmic dependence between fractional coverage and solution concentration. The Temkin isotherm is commonly used to analyze adsorption processes where interactions between adsorbed molecules cannot be neglected. It is frequently applied in environmental chemistry and materials science, including studies related to chemical wastewater treatment."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Temkin isotherm model) ni
used by ap linear parameter estimation (Temkin isotherm model) ni
community ap Q6534265 ep
contains ap Temkin isotherm equation ni
related URL ap Temkin adsorption isotherm ep
related URL ap % D0% A2% D1%91% D0% B C% D0% B A% D0% B8% D0% B D, % D0%9 C% D0% B5% D0% B D% D0% B0% D1%81% D1%81% D0% B8% D0% B9 % D0%98% D1%81% D0% B0% D0% B0% D0% B A% D0% B E% D0% B2% D0% B8% D1%87 ep
described by source ap Q6775858 ep
described by source ap Q6821336 ep
described by source ap Q6821374 ep
described by source ap Q6821611 ep
described by source ap Q6821796 ep
described by source ap Q6822055 ep
named after ap Q6820993 ep
description ap "empirical adsorption model with linearly decreasing adsorption energy"@en

temperatureni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673697

belongs to
quantity kind c
has facts
described at URL ap Temperature ep
Wikidata QID ap "Q11466"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Θ</mi></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Temperature"@en
specialized by ap maximum temperature ni
specialized by ap minimum temperature ni
specialized by ap crop-specific base temperature ni
related URL ap Thermodynamic temperature ep
image ap Thermometer%20 C F.svg ep
description ap "physical property of matter that quantitatively expresses the common notions of hot and cold"@en

tendon lengthni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674101

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "measurement of the distance from one end of a tendon to the other"@en

tendon strainni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674102

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>l</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>slack</mtext></mrow></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>slack</mtext></mrow></mrow></msubsup></mrow></mrow><mrow data-mjx-texclass="ORD"><msubsup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝓁</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>T</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>slack</mtext></mrow></mrow></msubsup></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "Definition of the tendon strain in terms of the length of tendon under stress and the stress-free length of tendon."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "stretching or partially tearing a tendon"@en

theoretical chemistryni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775630

belongs to
academic discipline c
has facts
described at URL ap Theoretical chemistry ep
Wikidata QID ap "Q321150"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap nonadiabatic molecular dynamics ni
similar to ap physical chemistry ni
image ap Sampling%20in%20 Monte%20 Carlo%20and%20molecular%20dynamics.png ep
description ap "branch of chemistry which develops and applies theoretical concepts"@en

thermal conductivityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674008

belongs to
quantity c
has facts
Wikidata QID ap "Q487005"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "ThermalConductivity"@en
related URL ap Thermal conductivity and resistivity ep
description ap "capacity of a material to conduct heat"@en

thermal velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775699

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>π</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>h</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>h</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>8</mn><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>π</mi><mi>m</mi></mrow></mrow></mfrac></mrow></msqrt></mrow></mstyle></mrow></math>"@en
described at URL ap Thermal velocity ep
Wikidata QID ap "Q4455262"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "typical velocity of the thermal motion of particles"@en

timeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534304

belongs to
quantity kind c
has facts
described at URL ap Time ep
Wikidata QID ap "Q11471"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Time"@en
specialized by ap age of a person ni
specialized by ap time step ni
specialized by ap duration ni
specialized by ap exposure of an individual ni
specialized by ap free fall time ni
specialized by ap period length ni
specialized by ap turn over time ni
specialized by ap point in time ni
related URL ap Time in physics ep
image ap Montre Gousset001.jpg ep
description ap "dimension in which events can be ordered from the past through the present into the future"@en

time independence of Hamiltonianni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534352

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Time independent equation ep
description ap "assuming that the Hamiltonian of a quantum system does not dependend on time explicitly"@en

time stepni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673794

belongs to
quantity c
has facts
Description (long) ap "Typically used in temporal discretization of evolution equations."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "incremental time step"@en

time-dependent Schrödinger equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534305

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">=</mo><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
Description (long) ap "Fundamental postulate of Quantum Mechanics on the time evolution of quantum states."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
discretized by ap time-dependent Schrödinger equation (Strang-Marchuk) ni
discretized by ap second order differencing method ni
discretized by ap time-dependent Schrödinger equation (Chebychev polynomial) ni
discretized by ap time-dependent Schrödinger equation (differencing scheme) ni
discretized by ap time-dependent Schrödinger equation (Lie-Trotter) ni
discretized by ap time-dependent Schrödinger equation (split operator) ni
assumes ap closed system approximation ni
specialized by ap time-independent Schrödinger equation ni
specialized by ap Hamilton's equations ni
specialized by ap Newton second law of motion for constant mass ni
specialized by ap heavy particle Newton equation ni
specialized by ap light particle TDSE ni
specialized by ap time-dependent Schrödinger equation for electric charges ni
related URL ap Schr% C3% B6dinger equation ep
related URL ap Q165498 ep
named after ap Q1565702 ep
description ap "partial differential equation describing how the quantum state of a non-relativistic physical system changes with time"@en

time-dependent Schrödinger equation for electric chargesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7253901

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">=</mo><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap time-independent Schrödinger equation for electric charges ni
named after ap Q1565702 ep
description ap "partial differential equation describing how the quantum state of electric charges in an electric field changes with time"@en

time-dependent Schrödinger equation (Chebychev polynomial)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674566

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap closed system approximation ni
described by source ap Q6672322 ep
described by source ap Q808205 ep
named after ap Q1565702 ep
named after ap Q6482344 ep
description ap "Chebchev polynomial scheme for numerical integration of the time-dependent Schrödinger equation"@en

time-dependent Schrödinger equation (differencing scheme)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674567

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Euler forward method ni
contains ap backward Euler method ni
specialized by ap second order differencing method ni
named after ap Q1565702 ep
description ap "differencing scheme (symmetric combination of Euler forward and backward in time) for numerical integration of the time-dependent Schrödinger equation"@en

time-dependent Schrödinger equation (Lie-Trotter)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674568

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">=</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>i</mi><mi>Δ</mi><mi>t</mi><mover><mi>T</mi><mo stretchy="false">̂</mo></mover><mo lspace="0" rspace="0">/</mo><mi alternate="1">ℏ</mi><mo stretchy="false">)</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>i</mi><mi>Δ</mi><mi>t</mi><mover><mi>V</mi><mo stretchy="false">̂</mo></mover><mo lspace="0" rspace="0">/</mo><mi alternate="1">ℏ</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mo stretchy="false">(</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
described by source ap Q1164973 ep
described by source ap Q6672268 ep
described by source ap Q808205 ep
named after ap Q1565702 ep
named after ap Q2266755 ep
named after ap Q6480859 ep
description ap "first order (Lie-Trotter) split operator scheme for numerical integration of the time-dependent Schrödinger equation"@en

time-dependent Schrödinger equation (split operator)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674569

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap time-dependent Schrödinger equation (Strang-Marchuk) ni
specialized by ap time-dependent Schrödinger equation (Lie-Trotter) ni
named after ap Q1565702 ep
description ap "split operator scheme for numerical integration of the time-dependent Schrödinger equation"@en

time-dependent Schrödinger equation (Strang-Marchuk)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674266

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>T</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>V</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>Δ</mi><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">=</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>i</mi><mi>Δ</mi><mi>t</mi><mover><mi>T</mi><mo stretchy="false">̂</mo></mover><mo lspace="0" rspace="0">/</mo><mo stretchy="false">(</mo><mn>2</mn><mi alternate="1">ℏ</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>i</mi><mi>Δ</mi><mi>t</mi><mover><mi>V</mi><mo stretchy="false">̂</mo></mover><mo lspace="0" rspace="0">/</mo><mi alternate="1">ℏ</mi><mo stretchy="false">)</mo><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>i</mi><mi>Δ</mi><mi>t</mi><mover><mi>T</mi><mo stretchy="false">̂</mo></mover><mo lspace="0" rspace="0">/</mo><mo stretchy="false">(</mo><mn>2</mn><mi alternate="1">ℏ</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">|</mo><mi>ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">⟩</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒪</mi></mrow><mo stretchy="false">(</mo><mi>Δ</mi><mi>t</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
related URL ap Q25303744 ep
described by source ap Q1164973 ep
described by source ap Q6672268 ep
described by source ap Q808205 ep
named after ap Q1565702 ep
named after ap Q219327 ep
named after ap Q6775563 ep
description ap "second order (Strang-Marchuk) split operator scheme for numerical integration of the time-dependent Schrödinger equation"@en

time-independent Schrödinger equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534310

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">|</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">⟩</mo><mo stretchy="false">=</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">|</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
described at URL ap Time independent Schr% C3% B6dinger equation ep
Wikidata QID ap "Q25829357"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap quantum Hamiltonian (electric polarizability) ni
assumes ap time independence of Hamiltonian ni
specialized by ap Darwin-Howie-Whelan equation for an unstrained crystal ni
specialized by ap Darwin-Howie-Whelan equation for a strained crystal ni
specialized by ap light particle TISE ni
specialized by ap time-independent Schrödinger equation for electric charges ni
named after ap Q1565702 ep
description ap "eigenvalue equation for the quantum-mechanical Hamiltonian operator, yielding stationary states (wave functions), along with their corresponding energies"@en

time-independent Schrödinger equation for electric chargesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q7253780

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">|</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">⟩</mo><mo stretchy="false">=</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">|</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">⟩</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
assumes ap time independence of Hamiltonian ni
named after ap Q1565702 ep
description ap "eigenvalue equation for the quantum-mechanical Hamiltonian operator for electric charges in an electric field"@en

torqueni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673729

belongs to
quantity kind c
has facts
described at URL ap Torque ep
Wikidata QID ap "Q48103"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Torque"@en
specialized by ap torque equation of particle ni
video ap Torque%20animation.gif ep
description ap "tendency of a force to rotate an object"@en

torque equation of particleni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674592

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow data-mjx-texclass="ORD"><mi>𝐅</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><msub><mrow data-mjx-texclass="ORD"><mi>𝑻</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">×</mo><msubsup><mrow data-mjx-texclass="ORD"><mi>𝑭</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub></mrow></msub></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mi>𝒙</mi></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo></mtd></mtr></mtable></mstyle></mrow></math>"@en
Description (long) ap "Angular velocity needs to be taken into account when transforming the contact point between two particles from local to global coordinates."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "defining equation determining the torque on a particle"@en

total number of individualsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673956

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q1613416 ep
description ap "overall count of people residing within a specific area"@en

total population densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674032

belongs to
quantity c
has facts
Description (long) ap "Typically expressed as the number of people per square kilometer or square mile."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Q356710 ep
description ap "number of people living in a given area"@en

total population density formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674593

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msubsup></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">≡</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>~</mo></mover></mrow></munderover><msubsup><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msubsup><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mover><mi>l</mi><mo>~</mo></mover><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "represented as a sum of Isotropic Gaussian functions of all provinces"@en

total population sizeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673795

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "countable quantity representing the number of individuals"@en

total root weight accumulation equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821425

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>W</mi><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Δ</mi><mi>R</mi><mi>W</mi><mi>T</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>R</mi><mi>W</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mi>R</mi><mi>W</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><mi>Δ</mi><mi>R</mi><mi>W</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation updates the accumulated total root weight by adding the daily total root weight increment to its previous value. It represents the temporal integration of daily root weight production over the growing season. The formulation assumes that root weight accumulation is additive and does not impose additional physiological constraints beyond those governing daily production. The equation is applied at each simulation time step to maintain the root weight state variable. It provides the accumulated total root weight used in subsequent yield formation processes."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "accumulates daily total root weight"@en

total root weight incrementni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821377

belongs to
quantity c
has facts
Description (long) ap "This quantity represents the potential daily increase in crop root biomass on a specific day. It is computed as the portion of total biomass growth allocated to the root system. The value reflects phenology-dependent carbon partitioning rather than independent root growth. It is used to update the total root biomass and to drive subsequent root distribution calculations. It is expressed as a mass per unit area."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "daily change in total root weight"@en

total soil nitrogen supply equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822035

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><mi>S</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>l</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi><mi>N</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></munderover><mi>U</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><mi>i</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "This equation computes the total nitrogen supply available to the crop by summing the layer-specific nitrogen supply rates. It represents the total nitrogen that could be taken up by mass flow on a given day. The result serves as an intermediate quantity used to compare soil nitrogen availability with crop nitrogen demand. It links soil-layer processes to whole-plant nitrogen uptake."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "aggregates nitrogen supply from all soil layers"@en

Toth equilibrium constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821165

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q1110333 ep
description ap "affinity constant describing adsorbate–adsorbent interaction"@en

Toth heterogeneity exponentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821166

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q1110333 ep
description ap "heterogeneity parameter controlling deviation from Langmuir behavior"@en

Toth heterogeneity exponent assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821164

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1110333 ep
description ap "assumption for Toth heterogeneity exponent"@en

Toth heterogeneity exponent constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821162

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn><mo>&lt;</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub><mo stretchy="false">≤</mo><mn>1</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q1110333 ep
description ap "constraint for Toth heterogeneity exponent"@en

Toth isotherm equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821161

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mrow></mfrac></mrow><mo stretchy="false">+</mo><msubsup><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mrow></msubsup><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub></mrow></mfrac></mrow></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Toth heterogeneity exponent constraint ni
specialized by ap Langmuir equation ni
named after ap Q1110333 ep
description ap "equilibrium uptake with heterogeneity exponent"@en

Toth isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821160

belongs to
mathematical model c
has facts
Description (long) ap "The Toth isotherm model is an empirical adsorption model developed to improve discrepancies between Langmuir predictions and experimental equilibrium data for heterogeneous adsorbents. It accounts for an asymmetric quasi-Gaussian distribution of adsorption energies and is suitable for Type I isotherms and for some multilayer adsorption situations. The model behaves correctly in both low- and high-concentration limits. It approaches the Langmuir isotherm when the heterogeneity parameter equals one. The Toth model is commonly used to represent adsorption processes in porous or energetically non-uniform materials."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Toth model) ni
community ap Q6534265 ep
contains ap Toth isotherm equation ni
contains ap Toth heterogeneity exponent constraint ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
described by source ap Q6821167 ep
described by source ap Q6821374 ep
described by source ap Q6821604 ep
described by source ap Q6821610 ep
described by source ap Q6821611 ep
named after ap Q1110333 ep
description ap "empirical adsorption isotherm for heterogeneous surfaces"@en

tractionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775597

belongs to
quantity c
has facts
described at URL ap Traction (mechanics) ep
Wikidata QID ap "Q1852039"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "physical process in which a tangential force is transmitted across an interface between two bodies through dry friction or an intervening fluid film resulting in motion, stoppage or the transmission of power"@en

transmission electron microscopyni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684708

belongs to
academic discipline c
has facts
described at URL ap Transmission electron microscopy ep
Wikidata QID ap "Q110779037"@en
Description (long) ap "As such, Transmission Electron Microscopy (TEM) has become an indispensable experimental tool to examine objects in life sciences or in material sciences at nanoscales. See also WIAS annual report 2021"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap imaging of nanostructures ni
image ap Polio%20 E M%20 P H I L%201875%20lores. P N G ep
description ap "uses the propagation of electron waves through magnetic lenses to create images of, e.g., the crystallographic structure of materials down to an atomic scale"@en

transport equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674354

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mo stretchy="false">∝</mo><mi mathvariant="normal">∇</mi><mi>ρ</mi></mstyle></mrow></math>"@en
Wikidata QID ap "Q105560509"@en
Description (long) ap "There are several (constitutive) equations which describe the transport of matter, or properties of it, in an almost identical way. In every case, in words they read: Flux (density) is proportional to a gradient, where the constant of proportionality is a characteristic of the material. In general, the constant must be replaced by a 2nd rank tensor, to account for directional dependencies of the material."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Ohm's law ni
specialized by ap Darcy's law ni
specialized by ap Fick equation ni
specialized by ap Hooke's law (linear elasticity) ni
specialized by ap Fourier's law of heat conduction ni
specialized by ap Boltzmann equation for moving particles ni
similar to ap continuity equation ni
description ap "equation that describes the transport of some (extensive) quantity such as mass, energy|heat, momentum, electric charge"@en

transport modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675445

belongs to
mathematical model c
has facts
Description (long) ap "There are several (constitutive) equations which describe the transport of matter, or properties of it, in an almost identical way. In every case, in words they read: Flux (density) is proportional to a gradient, where the constant of proportionality is a characteristic of the material. In general, the constant must be replaced by a 2nd rank tensor, to account for directional dependencies of the material."@en
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap transport equation ni
specialized by ap charge transport model ni
specialized by ap Darcy model ni
specialized by ap diffusion model ni
specialized by ap heat conduction model ni
specialized by ap Boltzmann transport model ni
related URL ap Constitutive equation ep
description ap "constitutive law describing the transport of matter, or properties of it, where the is proportional to a gradient"@en

transport of matterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684684

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap transport model ni
specialized by ap charge transport ni
specialized by ap flow in porous media ni
specialized by ap heat transport ni
specialized by ap species transport ni
description ap "transport of matter or of properties thereof"@en

transport routeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674121

belongs to
quantity c
has facts
Wikidata QID ap "Q1297806"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap public transport route ni
description ap "route on which goods, persons or data are transported"@en

transportation planningni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684709

belongs to
academic discipline c
has facts
described at URL ap Transportation planning ep
Wikidata QID ap "Q1034047"@en
MaRDI profile type ap Q6534268 ep
community ap Q6534265 ep
contains ap line planning ni
specialized by ap optimization in public transportation ni
described by source ap Q6672216 ep
image ap 1948%20 San%20 Francisco%20trafficways%20plan.jpg ep
description ap "planning of transportation networks and traffic"@en

turn over timeni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674046

belongs to
quantity c
has facts
Description (long) ap "Time between two events, e.g. minimal time between services of lines in public transport."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "time between two events"@en

two chains of chemical reactionsni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775495

belongs to
formula c
has facts
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "diffusion corrosponds to two chains of chemical reactions for the two species of chemicals"@en

uncompetitive inhibition constant (uni uni reaction reversible inhibition)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674020

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>u</mi></mrow></mrow></msub><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "constant for the uncompetitive inhibition in an uni uni reaction"@en

unfiltered value of imageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775407

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "unfiltered value of image, used in image processing"@en

uni uni reactionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684663

belongs to
research problem c
has facts
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
modelled by ap uni uni reaction (ODE model) ni
specialized by ap initial reaction rate of uni uni reaction with product ni
description ap "reaction catalyzed by an enzyme in which one substrate and one product is involved"@en

uni uni reaction (ODE model)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675446

belongs to
mathematical model c
has facts
Description (long) ap "Ordinary differential equations for the rates of change of all chemical species (substrate, enzyme, enzyme-substrate complex, product) in an Uni Uni reaction. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI profile type ap Q6534270 ep
used by ap parameter estimation of enzyme kinetics ni
used by ap sensitivity analysis of complex kinetic systems ni
used by ap simulation of complex kinetic systems ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap initial enzyme concentration (uni uni reaction - ODE model) ni
contains ap initial enzyme - substrate - complex concentration (uni uni reaction - ODE model) ni
contains ap initial product concentration (uni uni reaction - ODE model) ni
contains ap initial substrate concentration (uni uni reaction - ODE model) ni
contains ap uni uni reaction ODE system ni
specialized by ap uni uni reaction competitive complete inhibition (Dixon model without product - steady state assumption) ni
specialized by ap uni uni reaction competitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
specialized by ap uni uni reaction competitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
specialized by ap uni uni reaction competitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
specialized by ap uni uni reaction competitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction competitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction mixed complete inhibition (Dixon model without product - steady state assumption) ni
specialized by ap uni uni reaction mixed complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
specialized by ap uni uni reaction mixed complete inhibition (Hanes Woolf model without product - steady state assumption) ni
specialized by ap uni uni reaction mixed complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
specialized by ap uni uni reaction mixed complete inhibition (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction mixed partial inhibition (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction non-competitive complete inhibition (Dixon model without product - steady state assumption) ni
specialized by ap uni uni reaction non-competitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
specialized by ap uni uni reaction non-competitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
specialized by ap uni uni reaction non-competitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
specialized by ap uni uni reaction non-competitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction non-competitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction uncompetitive complete inhibition (Dixon model without product - steady state assumption) ni
specialized by ap uni uni reaction uncompetitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
specialized by ap uni uni reaction uncompetitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
specialized by ap uni uni reaction uncompetitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
specialized by ap uni uni reaction uncompetitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction uncompetitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
specialized by ap uni uni reaction (Eadie Hofstee model without product - irreversibility assumption) ni
specialized by ap uni uni reaction (Eadie Hofstee model without product - rapid equilibrium assumption) ni
specialized by ap uni uni reaction (Eadie Hofstee model without product - steady state assumption) ni
specialized by ap uni uni reaction (Hanes Woolf model without product - irreversibility assumption) ni
specialized by ap uni uni reaction (Hanes Woolf model without product - rapid equilibrium assumption) ni
specialized by ap uni uni reaction (Hanes Woolf model without product - steady state assumption) ni
specialized by ap uni uni reaction (Michaelis Menten model with product - steady state assumption) ni
specialized by ap uni uni reaction (Michaelis Menten model without product - irreversibility assumption) ni
specialized by ap uni uni reaction (Michaelis Menten model without product - rapid equilibrium assumption) ni
specialized by ap uni uni reaction (Lineweaver Burk model without product - irreversibility assumption) ni
specialized by ap uni uni reaction (Lineweaver Burk model without product - rapid equilibrium assumption) ni
specialized by ap uni uni reaction (Lineweaver Burk model without product - steady state assumption) ni
description ap "uni uni reaction model"@en

uni uni reaction competitive complete inhibition (Michaelis Menten model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675358

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (uni uni reaction without product and competitive complete inhibition - Michaelis Menten model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Michaelis Menten equation (uni uni reaction without product and competitive complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
linearized by ap uni uni reaction competitive complete inhibition (Dixon model without product - steady state assumption) ni
linearized by ap uni uni reaction competitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
linearized by ap uni uni reaction competitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
linearized by ap uni uni reaction competitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "uni uni reaction Michaelis Menten model without product and competitive complete Inhibition via the steady state assumption"@en

uni uni reaction mixed complete inhibition (Dixon model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675360

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Dixon model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Dixon equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap mixed enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Dixon model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Dixon model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6775527 ep
description ap "uni uni reaction Dixon model without product and mixed complete Inhibition via the steady state assumption"@en

uni uni reaction mixed complete inhibition (Eadie Hofstee model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675361

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Eadie Hofstee model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Eadie Hofstee equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap mixed enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "uni uni reaction Eadie Hofstee model without product and mixed complete Inhibition via the steady state assumption"@en

uni uni reaction mixed complete inhibition (Hanes Woolf model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675362

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Hanes Woolf model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Hanes Woolf equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap mixed enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "uni uni reaction Hanes Woolf model without product and mixed complete Inhibition via the steady state assumption"@en

uni uni reaction mixed complete inhibition (Lineweaver Burk model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675363

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Lineweaver Burk model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap Lineweaver Burk equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
contains ap mixed enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "uni uni reaction Lineweaver Burk model without product and mixed complete Inhibition via the steady state assumption"@en

uni uni reaction mixed complete inhibition (Michaelis Menten model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675364

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (uni uni reaction without product and mixed complete inhibition - Michaelis Menten model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Michaelis Menten equation (uni uni reaction without product and mixed complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap mixed enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
linearized by ap uni uni reaction mixed complete inhibition (Dixon model without product - steady state assumption) ni
linearized by ap uni uni reaction mixed complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
linearized by ap uni uni reaction mixed complete inhibition (Hanes Woolf model without product - steady state assumption) ni
linearized by ap uni uni reaction mixed complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "uni uni reaction Michaelis Menten model without product and mixed complete Inhibition via the steady state assumption"@en

uni uni reaction mixed partial inhibition (Michaelis Menten model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675365

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (uni uni reaction without product and mixed partial inhibition - Michaelis Menten model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap Michaelis Menten equation (uni uni reaction without product and mixed partial inhibition - steady state assumption) ni
contains ap mixed enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "uni uni reaction Michaelis Menten model without product and mixed partial Inhibition via the steady state assumption"@en

uni uni reaction non-competitive complete inhibition (Dixon model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675366

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Dixon model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Dixon equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap non-competitive enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Dixon model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Dixon model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6775527 ep
description ap "uni uni reaction Dixon model without product and non-competitive complete Inhibition via the steady state assumption"@en

uni uni reaction non-competitive complete inhibition (Eadie Hofstee model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675367

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Eadie Hofstee model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Eadie Hofstee equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap non-competitive enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q4403958 ep
named after ap Q6672225 ep
description ap "uni uni reaction Eadie-Hofstee model without product and non-competitive complete Inhibition via the steady state assumption"@en

uni uni reaction non-competitive complete inhibition (Hanes Woolf model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675368

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Hanes Woolf model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Hanes Woolf equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap non-competitive enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q3241536 ep
named after ap Q6672218 ep
description ap "uni uni reaction Hanes Woolf model without product and non-competitive complete Inhibition via the steady state assumption"@en

uni uni reaction non-competitive complete inhibition (Lineweaver Burk model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675369

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Lineweaver Burk model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap Lineweaver Burk equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
contains ap non-competitive enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6672235 ep
named after ap Q6672236 ep
description ap "uni uni reaction Lineweaver Burk model without product and non-competitive complete Inhibition via the steady state assumption"@en

uni uni reaction non-competitive complete inhibition (Michaelis Menten model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675370

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Michaelis Menten model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Michaelis Menten equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap non-competitive enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive complete inhibition (Michaelis Menten model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
linearized by ap uni uni reaction non-competitive complete inhibition (Dixon model without product - steady state assumption) ni
linearized by ap uni uni reaction non-competitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
linearized by ap uni uni reaction non-competitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
linearized by ap uni uni reaction non-competitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "uni uni reaction Michaelis Menten model without product and non-competitive complete Inhibition via the steady state assumption"@en

uni uni reaction non-competitive partial inhibition (Michaelis Menten model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675371

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (uni uni reaction without product and non-competitive partial inhibition - Michaelis Menten model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap Michaelis Menten equation (uni uni reaction without product and non-competitive partial inhibition - steady state assumption) ni
contains ap non-competitive enzyme inhibition coupling condition (uni uni reaction) ni
contains ap uni uni reaction competitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
contains ap uni uni reaction uncompetitive partial inhibition (Michaelis Menten model without product - steady state assumption) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "uni uni reaction Dixon model without product and non-competitive partial Inhibition via the steady state assumption"@en

uni uni reaction ODE systemni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674594

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>S</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></msub><mo stretchy="false">∗</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></msub></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap enzyme concentration ODE (uni uni reaction) ni
contains ap enzyme - substrate - complex concentration ODE (uni uni reaction) ni
contains ap product concentration ODE (uni uni reaction) ni
contains ap substrate concentration ODE (uni uni reaction) ni
description ap "system of ordinary differential equations describing an uni uni reaction over time"@en

uni uni reaction uncompetitive complete inhibition (Michaelis Menten model without product - steady state assumption)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6675376

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Michaelis Menten model - steady state assumption) ni
community ap Q6534265 ep
contains ap law of mass action ni
contains ap mass balance ni
contains ap enzyme conservation ni
contains ap Michaelis Menten equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption) ni
contains ap initial inhibitor concentration (uni uni reaction) ni
contains ap initial product concentration (uni uni reaction without product) ni
contains ap initial substrate concentration (uni uni reaction) ni
contains ap uni uni reaction (Michaelis Menten model without product - steady state assumption) ni
linearized by ap uni uni reaction uncompetitive complete inhibition (Dixon model without product - steady state assumption) ni
linearized by ap uni uni reaction uncompetitive complete inhibition (Eadie Hofstee model without product - steady state assumption) ni
linearized by ap uni uni reaction uncompetitive complete inhibition (Hanes Woolf model without product - steady state assumption) ni
linearized by ap uni uni reaction uncompetitive complete inhibition (Lineweaver Burk model without product - steady state assumption) ni
assumes ap steady state assumption ni
described by source ap Q6672204 ep
named after ap Q6773641 ep
named after ap Q6775526 ep
description ap "uni uni reaction Michaelis Menten model without product and uncompetitive complete Inhibition via the steady state assumption"@en

uni uni reaction with competitive complete inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684685

belongs to
research problem c
has facts
Description (long) ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme may bind an inhibitor (I) to form an enzyme-inhibitor complex (EI) with rates k₃ and k₋₃."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap initial reaction rate of uni uni reaction without product and competitive complete inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with competitive partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684687

belongs to
research problem c
has facts
Description (long) ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. From the enzyme-inhibitor-substrate complex product is formed with rate k₂. Properly this is a mixed partial inhibition in which the inhibitor does not affect the turnover rate."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap initial reaction rate of uni uni reaction without product and competitive partial inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with mixed complete inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684689

belongs to
research problem c
has facts
Description (long) ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. From the enzyme-inhibitor-substrate complex no product formation is possible, the inhibition is thus complete."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap initial reaction rate of uni uni reaction without product and mixed complete inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with mixed partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684690

belongs to
research problem c
has facts
Description (long) ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. From the enzyme-inhibitor-substrate complex product is formed with rate k₆."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap initial reaction rate of uni uni reaction without product and mixed partial inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with non-competitive complete inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684691

belongs to
research problem c
has facts
Description (long) ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. In the non-competitive case: k₃ = k₄, k₋₃ = k₋₄, k₅ = k₁, and k₋₅ = k₋₁. The enzyme-inhibitor-substrate complex cannot form product, the inhibition is thus complete."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap initial reaction rate of uni uni reaction without product and non-competitive complete inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with non-competitive partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684692

belongs to
research problem c
has facts
Description (long) ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. In the non-competitive case: k₃ = k₄, k₋₃ = k₋₄, k₅ = k₁, and k₋₅ = k₋₁. The enzyme-inhibitor-substrate complex can form product with rate k₆."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap initial reaction rate of uni uni reaction without product and non-competitive partial inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with reversible complete inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684686

belongs to
research problem c
has facts
Description (long) ap "Uni Uni Reaction with reversible inhibition. The enzyme-inhibitor-substrate complex (EIS) cannot form product, the inhibition is thus complete."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap uni uni reaction with competitive complete inhibition ni
specialized by ap uni uni reaction with mixed complete inhibition ni
specialized by ap uni uni reaction with non-competitive complete inhibition ni
specialized by ap uni uni reaction with uncompetitive complete inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with reversible partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684688

belongs to
research problem c
has facts
Description (long) ap "Uni Uni Reaction with reversible inhibition. The enzyme-inhibitor-substrate complex (EIS) can form product, the inhibition is thus partial."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap uni uni reaction with competitive partial inhibition ni
specialized by ap uni uni reaction with mixed partial inhibition ni
specialized by ap uni uni reaction with non-competitive partial inhibition ni
specialized by ap uni uni reaction with uncompetitive partial inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with uncompetitive complete inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684693

belongs to
research problem c
has facts
Description (long) ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor-substrate complex (EIS) with rates k₄ and k₋₄. The enzyme-inhibitor-substrate complex cannot form product, the inhibition is thus complete."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap initial reaction rate of uni uni reaction without product and uncompetitive complete inhibition ni
description ap "uni uni reaction with inhibition"@en

uni uni reaction with uncompetitive partial inhibitionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6684694

belongs to
research problem c
has facts
Description (long) ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor-substrate complex (EIS) with rates k₄ and k₋₄. The enzyme-inhibitor-substrate complex can form product with rate k₆."@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap initial reaction rate of uni uni reaction without product and uncompetitive partial inhibition ni
description ap "uni uni reaction with inhibition"@en

uniform gravitational accelerationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674362

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>h</mi><mo stretchy="false">≈</mo><mi>r</mi></mstyle></mrow></math>"@en
Description (long) ap "This is a very good approximation for an apple falling from a tree, but not for celestial mechanics where the inverse-square law of the gravitational field must be taken into account."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assuming that the gravitational constant remains unchanged from the beginning to the end of a trajectory"@en

UNILAN adsorption affinity constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821258

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "adsorption strength parameter"@en

UNILAN equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821262

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>b</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>s</mi></mrow></mrow></mfrac></mrow><mi>ln</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mi>b</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msup><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><mi>b</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>s</mi></mrow></mrow></msup><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap UNILAN heterogeneity parameter constraint ni
specialized by ap Langmuir equation ni
description ap "uniform-energy Langmuir-integrated adsorption equation"@en

UNILAN heterogeneity parameterni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821259

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter describing energy distribution width"@en

UNILAN heterogeneity parameter assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821260

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo stretchy="false">→</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption for UNILAN heterogeneity parameter"@en

UNILAN heterogeneity parameter constraintni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821261

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo>&gt;</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "constraint for UNILAN heterogeneity parameter"@en

UNILAN isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821264

belongs to
mathematical model c
has facts
Description (long) ap "The UNILAN isotherm model is an empirical adsorption model derived by assuming a uniform distribution of adsorption energies over a heterogeneous surface. It is based on a patchwise surface concept, where each patch follows a local Langmuir isotherm, and the overall adsorption behavior is obtained by integrating over all patches. The model provides correct asymptotic behavior at both low and high solute concentrations. UNILAN is particularly useful for describing heterogeneous adsorption systems where energy variation is bounded and uniformly distributed. In the limit of vanishing heterogeneity, the model reduces to the classical Langmuir isotherm."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (UNILAN model) ni
community ap Q6534265 ep
contains ap UNILAN heterogeneity parameter constraint ni
contains ap UNILAN equation ni
specialized by ap Langmuir isotherm model ni
described by source ap Q6775858 ep
description ap "empirical adsorption model with uniform energy distribution"@en

unit normal vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673790

belongs to
quantity c
has facts
described at URL ap Normal (geometry) ep
Wikidata QID ap "Q91093255"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap unit outer normal vector ni
description ap "vector that is normal to some surface (typically an interface), with unit length"@en

unit operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6830559

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "gives the physical unit of a physical quantity"@en

unit outer normal vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674116

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Normal (geometry) ep
related URL ap Q91093255 ep
description ap "unit normal vector that points outsid of the surface"@en

unit removing operatorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821438

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">[</mo><mo stretchy="false">.</mo><mo stretchy="false">]</mo></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi><mi data-mjx-variant="-tex-calligraphic">ℛ</mi></mrow></mrow><mo stretchy="false">(</mo><mi>Z</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Z</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">[</mo><mi>Z</mi><mo stretchy="false">]</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "operator removing the unit of a quantity without changing its numerical value"@en

unit tangent vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673791

belongs to
quantity c
has facts
described at URL ap Tangent vector ep
Wikidata QID ap "Q106041131"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "vector that is tangential to a curve or surface at a given point, with unit length"@en

universal Kriging modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822189

belongs to
mathematical model c
has facts
MaRDI profile type ap Q6534270 ep
community ap Q6534265 ep
contains ap second-moment stochastic process specification ni
description ap "Kriging model with deterministic trend and stationary stochastic residuals"@en

unknown constant mean value assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775788

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝔼</mi></mrow><mo stretchy="false">[</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo><mo stretchy="false">=</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mspace width="1em"></mspace><mi mathvariant="normal">∀</mi><mi>x</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow><mo>,</mo><mspace width="2em"></mspace><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mtext>&#160;</mtext><mrow data-mjx-texclass="ORD"><mtext>(unknown)</mtext></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption that a stochastic process has a constant mean value that ist unknown"@en

unknown deterministic mean function assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6822190

belongs to
formula c
has facts
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Z</mi></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo fence="false" stretchy="false">{</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mo fence="false" stretchy="false">}</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn><mo>,</mo><mo>&#x2026;</mo><mo>,</mo><mi>K</mi></mrow></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow></mstyle></mrow></math>"@en
in defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mrow data-mjx-texclass="ORD"><mi>𝔼</mi></mrow><mo stretchy="false">[</mo><mi>Z</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo><mo stretchy="false">=</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></munderover><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="1em"></mspace><mi mathvariant="normal">∀</mi><mi>x</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒳</mi></mrow><mo>,</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mtext>&#xA0;known deterministic functions</mtext></mrow><mo>,</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mtext>&#xA0;unknown</mtext></mrow></mtd></mtr></mtable></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption that a stochastic process has an unknown but deterministic mean function"@en

unknown functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673962

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mathematical function to be found, typically as a solution of an (ordinary or partial) differential equation"@en

unknown matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674055

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "unknown matrix, to be found"@en

upper-triangular matrixni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674095

belongs to
quantity c
has facts
Wikidata QID ap "Q77968835"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Upper block triangular ep
description ap "matrix with all elements below the main diagonal equal to zero"@en

vanishing air densityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674366

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi><mo stretchy="false">→</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "in the limit of vanishing air density, physical bodies will move like in vacuum, e.g. free fall models"@en

vanishing drag coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674367

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub><mo stretchy="false">→</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "in the limit of vanishing drag coefficient, physical bodies will move like in vacuum, e.g. free fall models"@en

vanishing of ligandni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6773492

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>10</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>10</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mn>10</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>10</mn></mrow></msub><mo stretchy="false">⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub></mstyle></mrow></math>"@en
Description (long) ap "The ligand L can vanish before it binds to the receptor, e.g. by degradation or unspecific binding to other extracellular components or it is degraded intracellularly"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "reaction describing the vanishing of the ligand"@en

varianceni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673721

belongs to
quantity kind c
has facts
described at URL ap Variance ep
Wikidata QID ap "Q175199"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
image ap Comparison%20standard%20deviations.svg ep
description ap "expectation of the squared deviation of a random variable from its mean"@en

velocityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673707

belongs to
quantity kind c
has facts
described at URL ap Velocity ep
Wikidata QID ap "Q11465"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Velocity"@en
specialized by ap muscle contraction velocity ni
specialized by ap fluid velocity (free flow) ni
specialized by ap material point velocity ni
specialized by ap drift velocity ni
specialized by ap particle velocity ni
specialized by ap fluid velocity (porous medium) ni
specialized by ap fiber contraction velocity ni
specialized by ap speed of light in vacuum ni
specialized by ap thermal velocity ni
image ap Kinematics.svg ep
description ap "rate of change of the position of an object as a function of time, and the direction of that change"@en

Verlet integrationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674268

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>τ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">+</mo><mi>τ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>2</mn><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">−</mo><mi>τ</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msup><mi>τ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>F</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo lspace="0" rspace="0">/</mo><mi>M</mi></mstyle></mrow></math>"@en
described at URL ap Verlet integration ep
Wikidata QID ap "Q2984997"@en
Description (long) ap "Originally discovered already by Newton: Essentially a symmetric (and symplectic!) combination of Euler forward and backward methods."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
contains ap Euler forward method ni
contains ap backward Euler method ni
similar to ap second order differencing method ni
described by source ap Q6672270 ep
named after ap Q3258992 ep
named after ap Q6775560 ep
description ap "sympletic, reversible time-discretization of Newton's equations of motion"@en

vertex setni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674074

belongs to
quantity c
has facts
Wikidata QID ap "Q124247078"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "set of all vertices in a graph"@en

vibration frequency (anharmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674122

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap vibration frequency (harmonic) ni
related URL ap Anharmonicity ep
related URL ap Q545228 ep
description ap "frequency of oscillation in systems that deviate from the ideal harmonic oscillator model"@en

vibration frequency (harmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673747

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Quantum harmonic oscillator ep
related URL ap Q677864 ep
description ap "harmonic frequency of vibration, e.g. of a molecule"@en

vibration period (harmonic)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821440

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>ω</mi></mrow></mfrac></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "period of harmonic vibration, e.g. of a molecule"@en

vibrational frequency shift (1st order)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674548

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mi>r</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msubsup><mo stretchy="false">−</mo><msubsup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mo>,</mo><mi>r</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msubsup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>U</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msubsup><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "The interpretation is quite straight-forward: Effectively, the intermolecular potential changes the effective force constant of a vibrational normal mode."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "frequency shift of molecular vibrations caused by interaction with surrounding particles from 1st order non-degenerate perturbation theory"@en

vibrational frequency shift (2nd order)ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674549

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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>q</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ϕ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>,</mo><mi>r</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></mrow></msubsup><mo stretchy="false">−</mo><msubsup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mo>,</mo><mi>r</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></mrow></msubsup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>r</mi><mi>s</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>U</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"@en
Description (long) ap "The interpretation is based on the coupling of different vibrational normal modes, mediated by the cubic anharmonicity of the intramolecular force field."@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "frequency shift of molecular vibrations caused by interaction with surrounding particles from 2nd order non-degenerate perturbation theory"@en

viscosityni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673719

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described at URL ap Viscosity ep
Wikidata QID ap "Q128709"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Viscosity"@en
specialized by ap dynamic viscosity ni
specialized by ap fluid dynamic viscosity (porous medium) ni
specialized by ap kinematic viscosity ni
specialized by ap dynamic viscosity ni
video ap Viscosities.gif ep
description ap "resistance of a fluid to shear deformation"@en

viscous dissipation potentialni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673846

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MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Dissipation ep
related URL ap Q898440 ep
description ap "describes the conversion of mechanical energy into internal energy due to the viscosity of a fluid"@en

viscous stress tensorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673789

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described at URL ap Viscous stress tensor ep
Wikidata QID ap "Q7935892"@en
Description (long) ap "The viscous stress tensor models stress in continuum mechanics due to strain rate, representing material deformation at a point."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "models stress in continuum mechanics due to strain rate"@en

Volmer affinity constantni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820979

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MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q4479187 ep
description ap "temperature-dependent affinity parameter for Volmer adsorption"@en

Volmer equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6820980

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formula c
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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>θ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><mi>θ</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4479187 ep
description ap "mobile monolayer adsorption equation without lateral interactions"@en

Volmer isotherm modelni back to ToC or Named Individual ToC

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Description (long) ap "The Volmer isotherm model describes adsorption in a mobile monolayer, where adsorbed molecules can move freely across the surface but do not interact with each other. It applies an exponential correction term that accounts for the configurational entropy associated with mobile adsorbates. The model uses the fractional surface coverage and an affinity constant that depends on temperature. Unlike interaction-based models such as Fowler–Guggenheim or Hill–de Boer, the Volmer approach assumes no lateral interactions between adsorbates. It is used to characterize adsorption systems where mobility dominates surface behavior, including applications in surface chemistry and chemical wastewater treatment."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Volmer model) ni
community ap Q6534265 ep
contains ap Volmer equation ni
described by source ap Q6775858 ep
named after ap Q4479187 ep
description ap "adsorption model accounting for mobile adsorbed molecules"@en

voltageni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673692

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described at URL ap Voltage ep
Wikidata QID ap "Q25428"@en
ISQ dimension ap "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mi>𝖬</mi></mrow><msup><mrow data-mjx-texclass="ORD"><mi>𝖳</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>3</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi>𝖨</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
QUDT quantity kind ID ap "Voltage"@en
specialized by ap electric potential ni
specialized by ap applied external voltage ni
specialized by ap built-in potential ni
specialized by ap local charge-neutrality potential ni
description ap "difference in electric potential between two points (indicated in volt)"@en

von Neumann equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6534349

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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi alternate="1">ℏ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo>,</mo><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>"@en
Wikidata QID ap "Q2533076"@en
Description (long) ap "Just as the Schrödinger equation describes how pure states evolve in time, the Liouville-von Neumann equation describes how a density operator evolves in time. Note that there can be different density operators for pure or for mixed states."@en
Description (long) ap "Note the similarity with the classical Liouville equation where the commutator brackets [.,.] are replaced by Poisson brackets {.,.}"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap time-dependent Schrödinger equation ni
specialized by ap Liouville equation ni
related URL ap Von Neumann equation for time evolution ep
named after ap Q564712 ep
named after ap Q6482292 ep
description ap "describes how a density operator (for pure or for mixed states) evolves in time"@en

wastewater treatmentni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775710

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Wikidata QID ap "Q20127660"@en
MaRDI profile type ap Q6534269 ep
community ap Q6534265 ep
specialized by ap biological wastewater treatment ni
specialized by ap chemical wastewater treatment ni
description ap "converting wastewater into an effluent for return to the water cycle"@en

wave vectorni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775572

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described at URL ap Wave vector ep
Wikidata QID ap "Q657009"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap wave vector of an electron ni
zbMATH conecept ID ap "wave vector"@en
description ap "vector pointing in the direction of a wave and whose magnitude is equal to the wavenumber"@en

wave vector of an electronni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674123

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Description (long) ap "Vector pointing in the direction of a wave and whose magnitude is equal to the wavenumber. In quantum mechanics/condensed matter physics, a wave vector is the quotient of the momentum vector of particles or quasi particles and the reduced Planck constant."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Wave vector ep
related URL ap Q657009 ep
description ap "vector pointing in the direction of propagation of an electron wave and whose magnitude is equal to the wavenumber"@en

wavenumberni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775573

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described at URL ap Wavenumber ep
Wikidata QID ap "Q192510"@en
ISQ dimension ap "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="ORD"><mi>𝖫</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
specialized by ap wave vector ni
description ap "inverse of the wavelength, i.e. the spatial frequency of a wave."@en

weak formulationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775618

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described at URL ap Weak formulation ep
Wikidata QID ap "Q9993851"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
specialized by ap Cauchy momentum equation: weak formulation ni
opposite of ap strong formulation ni
description ap "mathematical concept permitting the transfer of concepts of linear algebra to solve problems such as PDEs"@en

weak formulation: test functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775620

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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">f</mi><mi mathvariant="normal">o</mi><mi mathvariant="normal">r</mi></mrow></mrow><mspace width="1em"></mspace><mi>x</mi><mo stretchy="false">∈</mo><mi>∂</mi><mi>Ω</mi></mstyle></mrow></math>"@en
Description (long) ap "usually it is demanded that test function vanishes on the domain boundary"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap Weak formulation ep
related URL ap Q9993851 ep
description ap "to be used in the weak formulations to solve PDEs"@en

Weber-van Vliet equationni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821372

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in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msubsup><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msubsup><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow></msubsup><mo stretchy="false">+</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mrow></mrow></msubsup></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
named after ap Q4115075 ep
description ap "empirical nonlinear adsorption equilibrium equation"@en

Weber-van Vliet isotherm modelni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821376

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mathematical model c
has facts
Description (long) ap "The Weber-van Vliet isotherm model is an empirical adsorption model developed to describe equilibrium adsorption behavior using a flexible four-parameter formulation. It directly relates equilibrium solute concentration to adsorbed amount without assuming ideal monolayer adsorption or a specific adsorption mechanism. The model is particularly useful when classical two-parameter isotherms such as Langmuir or Freundlich fail to fit experimental data over wide concentration ranges. Due to its empirical nature, the parameters do not have a strict physical interpretation but provide high flexibility in curve fitting. The model has been applied in adsorption studies relevant to chemical and environmental engineering, including wastewater treatment."@en
MaRDI profile type ap Q6534270 ep
used by ap nonlinear parameter estimation (Weber-van Vliet model) ni
community ap Q6534265 ep
contains ap Weber-van Vliet equation ni
described by source ap Q6775724 ep
described by source ap Q6775858 ep
described by source ap Q6821373 ep
described by source ap Q6821374 ep
description ap "empirical four-parameter adsorption isotherm model"@en

Weber-van Vliet Parameter 1ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821366

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "scaling parameter in Weber-van Vliet isotherm"@en

Weber-van Vliet Parameter 2ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821367

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q4115075 ep
description ap "scaling parameter in Weber-van Vliet isotherm"@en

Weber-van Vliet Parameter 3ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821368

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q4115075 ep
description ap "scaling parameter in Weber-van Vliet isotherm"@en

Weber-van Vliet Parameter 4ni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6821369

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q4115075 ep
description ap "scaling parameter in Weber-van Vliet isotherm"@en

weight factor in Romanization loss functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674053

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>C</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ω</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></msub><mo stretchy="false">≡</mo><mi>max</mi><mo>&#x2061;</mo><mo fence="false" stretchy="false">{</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></msub><mo>,</mo><mi>S</mi><mi>T</mi><mi>D</mi><mo stretchy="false">(</mo><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>,</mo><mo stretchy="false">∙</mo></mrow></mrow></msub><mo stretchy="false">)</mo><mo fence="false" stretchy="false">}</mo></mstyle></mrow></math>"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "weight factor that serves as normalization in the Romanization loss function"@en

weight functionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775408

belongs to
quantity c
has facts
described at URL ap Weight function ep
Wikidata QID ap "Q1520657"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "mathematical function that gives elements individual weights"@en

white noiseni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673865

belongs to
quantity c
has facts
described at URL ap White noise ep
Wikidata QID ap "Q381287"@en
Description (long) ap "Delta-correlated stationary Gaussian process with zero-mean, i.e., a random signal with equal intensity at all frequencies, yielding a constant power spectral density."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
zbMATH conecept ID ap "white noise"@en
description ap "delta-correlated stationary Gaussian process with zero-mean"@en

white noise distribution assumptionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775496

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>t</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>δ</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ξ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝔼</mi></mrow><mo stretchy="false">(</mo><mi>ξ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn><mo>,</mo><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mi>𝔼</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ξ</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>ξ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo>,</mo><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo stretchy="false">−</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo stretchy="false">−</mo><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>,</mo><mspace width="1em"></mspace><mi mathvariant="normal">∀</mi><mi>t</mi><mo>,</mo><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">≥</mo><mn>0</mn><mo>,</mo><mi mathvariant="normal">∀</mi><mi>x</mi><mo>,</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">′</mo></mrow></msup><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>𝕋</mi></mrow></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep
description ap "assumption regarding the distribution and expected value of the white noise"@en

Wiener processni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6673855

belongs to
quantity c
has facts
described at URL ap Wiener process ep
Wikidata QID ap "Q1056809"@en
Description (long) ap "A stochastic process generalizing Brownian motion, used to represent the integral of a white noise Gaussian process."@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
similar to ap white noise ni
named after ap Q6480538 ep
description ap "stochastic process generalizing Brownian motion"@en

yield coefficientni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775673

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
description ap "parameter relating the amount of microbial biomass produced to the amount of substrate consumed"@en

Young's modulusni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6674082

belongs to
quantity c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ε</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>σ</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi><mo stretchy="false">≡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ε</mi></mrow></mfrac></mrow></mstyle></mrow></math>"@en
described at URL ap Young%27s modulus ep
Wikidata QID ap "Q2091584"@en
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
named after ap Q6775565 ep
description ap "mechanical property that measures stiffness of a solid material"@en

zero flux conditionni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6775519

belongs to
formula c
has facts
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>D</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>i</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi></mstyle></mrow></math>"@en
in defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ν</mi></mstyle></mrow></math>"@en
defining formula dp "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>s</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>e</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>i</mi><mo stretchy="false">=</mo><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>D</mi><mi mathvariant="normal">∇</mi><mi>r</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"@en
MaRDI profile type ap Q5981696 ep
community ap Q6534265 ep

βγ moleculesni back to ToC or Named Individual ToC

IRI: https://portal.mardi4nfdi.de/entity/Q6774849

belongs to
quantity c
has facts
MaRDI profile type ap Q6534271 ep
community ap Q6534265 ep
related URL ap G beta gamma complex ep
related URL ap Q22328498 ep
description ap "beta-gamma molecule species"@en

Legend back to ToC

c: Classes
dp: Data Properties
ni: Named Individuals
ep: External Properties

References back to ToC

Acknowledgments back to ToC

The authors would like to thank Silvio Peroni for developing LODE, a Live OWL Documentation Environment, which is used for representing the Cross Referencing Section of this document and Daniel Garijo for developing Widoco, the program used to create the template used in this documentation.