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approximating polynomial

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  • Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …   Wikipedia

  • Properties of polynomial roots — In mathematics, a polynomial is a function of the form: p(x) = a 0 + a 1 x + cdots a n x^n, quad xin mathbb{C}where the coefficients a 0, ldots, a n are complex numbers. The fundamental theorem of algebrastates that polynomial p has n roots. The… …   Wikipedia

  • Bernstein polynomial — In the mathematical field of numerical analysis, a Bernstein polynomial, named after Sergei Natanovich Bernstein, is a polynomial in the Bernstein form, that is a linear combination of Bernstein basis polynomials.A numerically stable way to… …   Wikipedia

  • Trigonometric polynomial — In the mathematical subfields of numerical analysis and mathematical analysis, a trigonometric polynomial is a finite linear combination of functions sin(nx) and cos(nx) with n a natural number. The coefficients may be taken as real numbers, for… …   Wikipedia

  • Approximation theory — In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby. Note that what is meant by best and simpler will depend on …   Wikipedia

  • Taylor's theorem — In calculus, Taylor s theorem gives a sequence of approximations of a differentiable function around a given point by polynomials (the Taylor polynomials of that function) whose coefficients depend only on the derivatives of the function at that… …   Wikipedia

  • Trennkreisverfahren — Das Trennkreisverfahren (engl. splitting circle method) ist eine Methode zum numerischen Faktorisieren von Polynomen in einer Variablen mit komplexen Koeffizienten. Dieses Verfahren wurde 1982 von Arnold Schönhage in dem Artikel The fundamental… …   Deutsch Wikipedia

  • Calculus — This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …   Wikipedia

  • Clique problem — The brute force algorithm finds a 4 clique in this 7 vertex graph (the complement of the 7 vertex path graph) by systematically checking all C(7,4)=35 4 vertex subgraphs for completeness. In computer science, the clique problem refers to any of… …   Wikipedia

  • 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

  • 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

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