ordinary differentiation
1Ordinary 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… …
2Ordinary 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… …
3Notation 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… …
4Automatic 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… …
5Numerical 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 …
6Numerical 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 …
7Backward 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… …
8Backward 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… …
9Partial 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… …
10Q-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… …
