Virtual permutation: Difference between revisions

Latest revision as of 18:19, 15 July 2013

Definition

Consider the set $N$ of natural numbers. A virtual permutation of $N$ is a sequence $σ_{n}, n \in N$ where each $σ_{n}$ is a permutation on ${1, 2, \dots, n}$ and $σ_{n - 1}$ is the derived permutation of $σ_{n}$ .

Revision as of 18:29, 28 April 2010 (view source) Vipul (talk \| contribs) (Created page with '==Definition== Consider the set <math>\mathbb{N}</math> of natural numbers. A '''virtual permutation''' of <math>\mathbb{N}</math> is a sequence <math>\sigma_n, n \in \mathbb{N}…')		Latest revision as of 18:19, 15 July 2013 (view source) Vipul (talk \| contribs) No edit summary
Line 1:		Line 1:
	==Definition==		==Definition==

	Consider the set <math>\mathbb{N}</math> of natural numbers. A '''virtual permutation''' of <math>\mathbb{N}</math> is a sequence <math>\sigma_n, n \in \mathbb{N}</math> where each <math>\sigma_n</math> is a permutation on <math>\{ 1,2,\dots, n \}</math> and <math>\sigma_{n - 1}</math> is the derived permutation of <math>\sigma_n</math>.		Consider the set <math>\mathbb{N}</math> of natural numbers. A '''virtual permutation''' of <math>\mathbb{N}</math> is a sequence <math>\sigma_n, n \in \mathbb{N}</math> where each <math>\sigma_n</math> is a permutation on <math>\{ 1,2,\dots, n \}</math> and <math>\sigma_{n - 1}</math> is the [[defining ingredient::derived permutation]] of <math>\sigma_n</math>.