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11Weyl's lemma (Laplace equation) — In mathematics, Weyl s lemma is a result that provides a very weak form of the Laplace equation. It is named after the German mathematician Hermann Weyl.tatement of the lemmaLet n in mathbb{N} and let Omega be an open subset of mathbb{R}^{n}. Let …
12Dirac equation — Quantum field theory (Feynman diagram) …
13Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …
14Frobenius solution to the hypergeometric equation — In the following we solve the second order differential equation called the hypergeometric differential equation using Frobenius method, named after Ferdinand Georg Frobenius. This is a method that uses the series solution for a differential… …
15Radiative transfer equation and diffusion theory for photon transport in biological tissue — Photon transport in biological tissue can be equivalently modeled numerically with Monte Carlo simulations or analytically by the radiative transfer equation (RTE). However, the RTE is difficult to solve without introducing approximations. A… …
16Rate equation — The rate law or rate equation for a chemical reaction is an equation that links the reaction rate with concentrations or pressures of reactants and constant parameters (normally rate coefficients and partial reaction orders).[1] To determine the… …
17Wave equation — Not to be confused with Wave function. The wave equation is an important second order linear partial differential equation for the description of waves – as they occur in physics – such as sound waves, light waves and water waves. It arises in… …
18Laplace's equation — In mathematics, Laplace s equation is a partial differential equation named after Pierre Simon Laplace who first studied its properties. The solutions of Laplace s equation are important in many fields of science, notably the fields of… …
19Debye–Hückel equation — The Debye–Hückel equation and Debye–Hückel limiting law, were derived by Peter Debye and Erich Hückel, who developed a theory with which to calculate activity coefficients of electrolyte solutions.[1] Activities, rather than concentrations, are… …
20Debye-Hückel equation — The Debye Hückel limiting law, named for its developers Peter Debye and Erich Hückel, provides one way to obtain activity coefficients Ref|Harris. Activities, rather than concentrations, are needed in many chemical calculations because solutions… …
