polynomial formula

  • 11Euler–Maclaurin formula — In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using… …

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  • 12Tutte polynomial — This article is about the Tutte polynomial of a graph. For the Tutte polynomial of a matroid, see Matroid. The polynomial x4 + x3 + x2y is the Tutte polynomial of the Bull graph. The red line shows the intersection with the plane …

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  • 13Degree of a polynomial — The degree of a polynomial represents the highest degree of a polynominal s terms (with non zero coefficient), should the polynomial be expressed in canonical form (i.e. as a sum or difference of terms). The degree of an individual term is the… …

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  • 14Lagrange polynomial — In numerical analysis, a Lagrange polynomial, named after Joseph Louis Lagrange, is the interpolation polynomial for a given set of data points in the Lagrange form. It was first discovered by Edward Waring in 1779 and later rediscovered by… …

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  • 15Faulhaber's formula — In mathematics, Faulhaber s formula, named after Johann Faulhaber, expresses the sum:sum {k=1}^n k^p = 1^p + 2^p + 3^p + cdots + n^pas a ( p + 1)th degree polynomial function of n , the coefficients involving Bernoulli numbers.Note: By the most… …

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  • 16Rook polynomial — Despite its name, the rook polynomial is used not only to solve chess recreational problems but also in a number of problems arising in combinatorial mathematics, group theory, and number theory.The coefficients of the rook polynomial represent… …

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  • 17Schur polynomial — In mathematics, Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables with integral coefficients. The elementary symmetric polynomials and the complete homogeneous symmetric polynomials are special cases of… …

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  • 18Faà di Bruno's formula — is an identity in mathematics generalizing the chain rule to higher derivatives, named in honor of Francesco Faà di Bruno (1825 ndash;1888), who was (in chronological order) a military officer, a mathematician, and a priest, and was beatified by… …

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  • 19Neumann polynomial — In mathematics, a Neumanns polynomial, introduced by Carl Neumann for the special case α = 0, is a polynomial in 1/z used to expand functions in term of Bessel functions.[1] The first few polynomials are …

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  • 20Exponential formula — In combinatorial mathematics, the exponential formula (called the polymer expansion in physics) states that the exponential generating function for structures on finite sets is the exponential of the exponential generating function for connected… …

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