weight function
61Random permutation statistics — The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms, especially of sorting algorithms, which operate on random permutations. Suppose, for example,… …
62combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …
63Gauss-Jacobi Mechanical Quadrature — Let x 1 < x 2 < ... < x n are the zeros of polynomial p n( x )of degree n . Then there exist real numbers λ1, λ2, ... λn such that int a^b f(x) omega(x) , dx = lambda 1 f(x 1) + lambda 2 f(x 2) + ... + lambda n f(x n)for any function f ( x ) that …
64List of combinatorics topics — This is a list of combinatorics topics.A few decades ago it might have been said that combinatorics is little more than a way to classify poorly understood problems, and some standard remedies. Great progress has been made since 1960.This page is …
65Generalized Fourier series — In mathematical analysis, many generalizations of Fourier series have proved to be useful.They are all special cases of decompositions over an orthonormal basis of an inner product space.Here we consider that of square integrable functions… …
66List of aerospace engineering topics — This page aims to list all articles related to the specific discipline of aerospace engineering. For a broad overview of engineering, see List of engineering topics. For biographies, see List of engineers.compactTOC NOTOC AAblation cascade… …
67Christofides algorithm — The goal of the Christofides heuristic algorithm (named after Nicos Christofides) is to find a solution to the instances of the traveling salesman problem where the edge weights satisfy the triangle inequality. Let G = (V,w) be an instance of TSP …
68Auxiliary field Monte Carlo — is a method that allows the calculation, by use of Monte Carlo techniques, of averages of operators in many body quantum mechanical (Blankenbecler 1981, Ceperley 1977) or classical problems (Baeurle 2004, Baeurle 2003, Baeurle 2002a).The… …
69Fourier–Bessel series — In mathematics, Fourier–Bessel series are a particular kind of infinite series expansion on a finite interval, based on Bessel functions and as such are part of a large class of expansions based on orthogonal functions. Fourier Bessel series are… …
70Schur orthogonality relations — In mathematics, the Schur orthogonality relations express a central fact about representations of finite groups. They admit a generalization to the case of compact groups in general, and in particular compact Lie groups, such as the rotation… …
