total differential equation

total differential equation
дифференциальное уравнение в полных дифференциалах

Большой англо-русский и русско-английский словарь. 2001.

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  • Exact differential equation — In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics and engineering. Definition Given a simply connected and open subset D of R2 and two …   Wikipedia

  • First order partial differential equation — In mathematics, a first order partial differential equation is a partial differential equation that involves only first derivatives of the unknown function of n variables. The equation takes the form: F(x 1,ldots,x n,u,u {x 1},ldots u {x n}) =0 …   Wikipedia

  • Total derivative — In the mathematical field of differential calculus, the term total derivative has a number of closely related meanings. * The total derivative of a function, f , of several variables, e.g., t , x , y , etc., with respect to one of its input… …   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

  • Differential of a function — For other uses of differential in mathematics, see differential (mathematics). In calculus, the differential represents the principal part of the change in a function y = ƒ(x) with respect to changes in the independent variable. The… …   Wikipedia

  • Differential calculus — The graph of a function, drawn in black, and a tangent line to that function, drawn in red. The slope of the tangent line equals the derivative of the function at the marked point. Topics in Calculus …   Wikipedia

  • Total variation diminishing — In systems described by partial differential equations, such as the following hyperbolic advection equation,:frac{part u}{part t} + afrac{part u}{part x} = 0, the total variation (TV) is given by,:TV = int left| frac{part u}{part x} ight| dx ,and …   Wikipedia

  • Total organic carbon — (TOC) is the amount of carbon bound in an organic compound and is often used as a non specific indicator of water quality or cleanliness of pharmaceutical manufacturing equipment. A typical analysis for TOC measures both the total carbon present… …   Wikipedia

  • Differential (mechanical device) — For other uses, see Differential. A cutaway view of an automotive final drive unit which contains the differential Input …   Wikipedia

  • Total variation — As the green ball travels on the graph of the given function, the length of the path travelled by that ball s projection on the y axis, shown as a red ball, is the total variation of the function. In mathematics, the total variation identifies… …   Wikipedia

  • Differential geometry of curves — This article considers only curves in Euclidean space. Most of the notions presented here have analogues for curves in Riemannian and pseudo Riemannian manifolds. For a discussion of curves in an arbitrary topological space, see the main article… …   Wikipedia


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