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trapezium rule

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  • Trapezium rule — In mathematics, the trapezium rule (the British term) or trapezoidal rule (the American term) is a way to approximately calculate the definite integral: int {a}^{b} f(x),dx. The trapezium rule works by approximating the region under the graph of… …   Wikipedia

  • Trapezoidal rule — This article is about the quadrature rule for approximating integrals. For the Explicit trapezoidal rule for solving initial value problems, see Heun s method. The function f(x) (in blue) is approximated by a linear function (in red). In… …   Wikipedia

  • List of calculus topics — This is a list of calculus topics.Note: the ordering of topics in sections is a suggestion to students.Before calculus (precalculus)*Graph of a function *Linear function *Secant *Slope *Tangent *Concavity *Finite difference *Radian *Factorial… …   Wikipedia

  • Romberg's method — In numerical analysis, Romberg s method Harv|Romberg|1955 generates a triangular array consisting of numerical estimates of the definite integral: int a^b f(x) , dx by using Richardson extrapolation Harv|Richardson|1910 repeatedly on the… …   Wikipedia

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

  • List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie …   Wikipedia

  • Richardson extrapolation — In numerical analysis, Richardson extrapolation is a sequence acceleration method, used to improve the rate of convergence of a sequence. It is named after Lewis Fry Richardson, who introduced the technique in the early 20th century. [cite… …   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

  • Procedural parameter — In computing, a procedural parameter is a parameter of a procedure that is itself a procedure.This concept is an extremely powerful and versatile programming tool, because it allows programmers to modify certain steps of a library procedure in… …   Wikipedia

  • Matrix function — In mathematics, a matrix function is a function which maps a matrix to another matrix. Contents 1 Extending scalar functions to matrix functions 1.1 Power series 1.2 Jordan decomposition …   Wikipedia

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