# Chebyshev polynomial

Chebyshev polynomial
многочлен Чебышева

Авиасловарь. . 2004.

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• Chebyshev polynomial — Math. See Tchebycheff polynomial. * * * …   Universalium

• Chebyshev polynomial — Math. See Tchebycheff polynomial …   Useful english dictionary

• Chebyshev equation — Chebyshev s equation is the second order linear differential equation where p is a real constant. The equation is named after Russian mathematician Pafnuty Chebyshev. The solutions are obtained by power series: where the coefficients obey the… …   Wikipedia

• Chebyshev polynomials — Not to be confused with discrete Chebyshev polynomials. In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev,[1] are a sequence of orthogonal polynomials which are related to de Moivre s formula and which can be defined… …   Wikipedia

• Chebyshev cube root — In mathematics, in the theory of special functions, the Chebyshev cube root is a particular inverse function of the Chebyshev polynomial of third degree. It is analogous to the cube root function is the inverse of the third power. It can be used… …   Wikipedia

• Chebyshev filter — Linear analog electronic filters Network synthesis filters Butterworth filter Chebyshev filter Elliptic (Cauer) filter Bessel filter Gaussian filter Optimum L (Legendre) filter Linkwitz Riley filter …   Wikipedia

• Chebyshev nodes — In numerical analysis, Chebyshev nodes are the roots of the Chebyshev polynomial of the first kind. They are often used as nodes in polynomial interpolation because the resulting interpolation polynomial minimizes the Runge s phenomenon. Contents …   Wikipedia

• Chebyshev rational functions — This article is not about the Chebyshev rational functions used in the design of elliptic filters. For those functions, see Elliptic rational functions. Plot of the Chebyshev rational functions for n=0,1,2,3 and 4 for x between 0.01 and 100. In… …   Wikipedia

• Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia

• 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

• Polynomial sequence — In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial. Examples * Monomials * Rising factorials * Falling …   Wikipedia

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