analytic function

  • 111Jordan's totient function — In number theory, Jordan s totient function J k(n) of a positive integer n is the number of k tuples of positive integers all less than or equal to n that form a coprime ( k + 1) tuple together with n . This is a generalisation of Euler s totient …

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  • 112harmonic function — ▪ mathematics       mathematical function of two variables having the property that its value at any point is equal to the average of its values along any circle around that point, provided the function is defined within the circle. An infinite… …

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  • 113Modified Wigner distribution function — The Wigner distribution (WD) was first proposed for corrections to classical statistical mechanics in 1932 by Eugene Wigner. The Wigner distribution, or Wigner–Ville distribution (WVD) for analytic signals, also has applications in time frequency …

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  • 114Matsumoto zeta function — In mathematics, Matsumoto zeta functions were introduced by Matsumoto (1990). They are functions of the form where p is a prime and Ap is a polynomial. References Matsumoto, Kohji (1990), Value distribution of zeta functions , Analytic number… …

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  • 115analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …

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  • 116Monodromy theorem — Illustration of analytic continuation along a curve (only a finite number of the disks Ut are shown) …

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  • 117Taylor series — Series expansion redirects here. For other notions of the term, see series (mathematics). As the degree of the Taylor polynomia …

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  • 118Ising model — The Ising model, named after the physicist Ernst Ising, is a mathematical model in statistical mechanics. It has since been used to model diverse phenomena in which bits of information, interacting in pairs, produce collectiveeffects.Definition… …

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  • 119List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …

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  • 120Power series — In mathematics, a power series (in one variable) is an infinite series of the form:f(x) = sum {n=0}^infty a n left( x c ight)^n = a 0 + a 1 (x c)^1 + a 2 (x c)^2 + a 3 (x c)^3 + cdotswhere an represents the coefficient of the n th term, c is a… …

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