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Permutation

In several fields of mathematics the term permutation is used with different but closely related meanings. They all relate to the notion of mapping the elements of a set to other elements of the same set, i.e., exchanging elements of a set.

In mathematics, in matrix theory, a permutation matrix is a square (0,1)-matrix that has exactly one entry 1 in each row and each column and 0's elsewhere. Each such matrix represents a specific permutation of m elements and, when used to multiply another matrix, can...

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An important class of groups are permutation groups. ... set, then a permutation of A is a ... Symmetric, Alternating and Permutation groups. Cayley's Theorem ...

Definition of permutation from the Merriam-Webster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games.

There are exactly six ways and each is called a permutation of Alice, Bob, and Carol. ... The order in which the orders are completed is a permutation. ...

This permutation takes each element to the one following it, with the last ... Retrieved from "http://en.wiktionary.org/wiki/permutation" ...

description Permutation, php-deluxe.net, webserver programming under linux ... A permutation is an ordered sequence containing each symbol from a set once and ...

The permutation or arrangement of 9 different balls in 3 different rows can be ... The permutation of n objects taken all at a time is represented as. ...

... bijection, function, cycle, cycle notation, one-line notation for permutations ... This is version 7 of permutation, born on 2001-10-20, modified 2007-10-22. ...

A permutation is a rearrangement of objects. ... representation of a permutation as follows, where we assume they elements are ...

Introduction into the Graph Theory and Permutations: definitions and examples ... A permutation is a 1-1 correspondence of a set V onto itself: f: VV. ...

Permutation of the set Nn is a 1-1 correspondence from Nn onto itself. Let f be ... In the applet, every permutation is also presented as a product of cycles. ...

... the use of randomly generated permutations, kpermutations, and ksubsets. ... A permutation has the property that it contains all the items in a given set ...

A permutation is odd if it can be written as a product of an odd number of transpositions. ... A transposition is a permutation that swaps two elements and ...