OpenMath Content Dictionary: permut1

Canonical URL:
http://www.openmath.org/cd/permut1.ocd
CD Base:
http://www.openmath.org/cd
CD File:
permut1.ocd
CD as XML Encoded OpenMath:
permut1.omcd
Defines:
permutation
Date:
2004-03-30
Version:
3 (Revision 1)
Review Date:
2017-12-31
Status:
experimental


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  Author: OpenMath Consortium
  SourceURL: https://github.com/OpenMath/CDs
            

A CD of functions for permutations

Written by A. Solomon on 1998-11-19
Modified by David Carlisle 1999-04-28
Renamed from comb to permut1 1999-05-19
Modified by A. Solomon to remove ambiguity from definition 
of Permutation as reported by JHD 2000-02-05.

permutation

Role:
application
Description:

The n-ary constructor permutation. The arguments are the integers 1 .. n in some order. permutation(p1, ..., pn) is the function which takes 1 to p1, 2 to p2 and so on.

Commented Mathematical property (CMP):
permutation(2,3,...,n, 1)^n = permutation()
Formal Mathematical property (FMP):
apply_to_list ( permutation , l ) = permutation ( ) ( i [ 1 , n - 1 ] i apply_to_list ( vector , l ) = i + 1 ) n apply_to_list ( vector , l ) = 1 n = size ( apply_to_list ( vector , l ) )
Example:
permutation ( 2 , 3 , 1 ) 3 = permutation ( )
Signatures:
sts


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