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ordinary differentiation

См. также в других словарях:

  • 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

  • Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …   Wikipedia

  • Notation for differentiation — In differential calculus, there is no single uniform notation for differentiation. Instead, several different notations for the derivative of a function or variable have been proposed by different mathematicians. The usefulness of each notation… …   Wikipedia

  • Automatic differentiation — In mathematics and computer algebra, automatic differentiation, or AD, sometimes alternatively called algorithmic differentiation, is a method to numerically evaluate the derivative of a function specified by a computer program. Two classical… …   Wikipedia

  • Numerical differentiation — is a technique of numerical analysis to produce an estimate of the derivative of a mathematical function or function subroutine using values from the function and perhaps other knowledge about the function. Contents 1 Finite difference formulae 1 …   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

  • Backward differentiation formula — The backward differentiation formula (BDF) is a family of implicit methods for the numerical integration of ordinary differential equations. They are linear multistep methods that, for a given function and time, approximate the derivative that… …   Wikipedia

  • Backward Differentiation Formulas — Die BDF Verfahren (englisch Backward Differentiation Formulas) sind Mehrschrittverfahren zur numerischen Lösung von Anfangswertproblemen: Dabei wird für y(x) eine Näherungslösung an den Zwischenstellen xi berechnet: Die Verfahren wurden 1952 von… …   Deutsch Wikipedia

  • Partial differentiation — partial par tial (p[aum]r shal), a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See {Part}, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a… …   The Collaborative International Dictionary of English

  • Q-derivative — In mathematics, in the area of combinatorics, the q derivative is a q analog of the ordinary derivative. DefinitionThe q derivative of a function f ( x ) is defined as:left(frac{d}{dx} ight) q f(x)=frac{f(qx) f(x)}{qx x}It is also often written… …   Wikipedia

  • Multi-index notation — The mathematical notation of multi indices simplifies formulae used in multivariable calculus, partial differential equations and the theory of distributions, by generalising the concept of an integer index to an ordered tuple of indices.… …   Wikipedia

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