partial differential equation language

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• Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …   Wikipedia

• Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

• Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms …   Wikipedia

• Numerical ordinary differential equations — Illustration of numerical integration for the differential equation y = y,y(0) = 1. Blue: the Euler method, green: the midpoint method, red: the exact solution, y = et. The step size is h = 1.0 …   Wikipedia

• Debye-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… …   Wikipedia

• Debye–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… …   Wikipedia

• Boolean delay equation — As a novel type of semi discrete dynamical systems, Boolean Delay Equations (BDEs) are models with Boolean valued variables that evolve in continuous time. Since at the present time, most phenomena are too complex to be modeled by partial… …   Wikipedia

• Gibbs-Duhem equation — The Gibbs Duhem equation in thermodynamics describes the relationship between changes in chemical potential for components in a thermodynamical system [ A to Z of Thermodynamics Pierre Perrot ISBN 0198565569] : : sum {i=1}^I N imathrm{d}mu i =… …   Wikipedia

• analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• numerical analysis — the branch of mathematics dealing with methods for obtaining approximate numerical solutions of mathematical problems. [1925 30] * * * Branch of applied mathematics that studies methods for solving complicated equations using arithmetic… …   Universalium