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The analytic summation of a hypergeometric series. Powerful general techniques of hypergeometric summation include Gosper's algorithm, Sister Celine's method, Wilf-Zeilberger ...

A ring without zero divisors in which an integer norm and an associated division algorithm (i.e., a Euclidean algorithm) can be defined. For signed integers, the usual norm ...

A specific prescription for carrying out a task or solving a problem. Also called an algorithm, method, or technique

An O(nlgn) sorting algorithm which is not quite as fast as quicksort. It is a "sort-in-place" algorithm and requires no auxiliary storage, which makes it particularly concise ...

A problem is assigned to the P (polynomial time) class if there exists at least one algorithm to solve that problem, such that the number of steps of the algorithm is bounded ...

A generalization of the Bulirsch-Stoer algorithm for solving ordinary differential equations.

The number of single operations (of addition, subtraction, and multiplication) required to complete an algorithm.

A theory is decidable iff there is an algorithm which can determine whether or not any sentence r is a member of the theory.

A fast Fourier transform-like algorithm which produces a hologram of an image.

The use of three prior points in a root-finding algorithm to estimate the zero crossing.