permutation

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Related to Cycle representation: Permutation group

per·mu·ta·tion

 (pûr′myo͝o-tā′shən)
n.
1.
a. The process of altering the order of a given set of objects in a group.
b. The result of such a process; a rearrangement or recombination of elements: permutations of gene order.
c. Mathematics A rearrangement of the elements of a set.
2. A complete change; a transformation: the country's permutation into a modern democracy.

per′mu·ta′tion·al adj.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

permutation

(ˌpɜːmjʊˈteɪʃən)
n
1. (Mathematics) maths
a. an ordered arrangement of the numbers, terms, etc, of a set into specified groups: the permutations of a, b, and c, taken two at a time, are ab, ba, ac, ca, bc, cb.
b. a group formed in this way. The number of permutations of n objects taken r at a time is n!/(nr)!. Symbol: nPr Compare combination6
2. a combination of items made by reordering
3. an alteration; transformation
4. (Gambling, except Cards) a fixed combination for selections of results on football pools. Usually shortened to: perm
[C14: from Latin permūtātiō, from permūtāre to change thoroughly; see mutation]
ˌpermuˈtational adj
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

per•mu•ta•tion

(ˌpɜr myʊˈteɪ ʃən)

n.
1. the act of permuting or permutating; alteration; transformation.
2. Math.
a. the act of changing the order of set elements arranged in a particular way, as abc into acb or bac.
b. any of the resulting arrangements. Compare combination (def. 8).
[1325–75; Middle English permutacioun (< Anglo-French, Middle French) < Latin permūtātiō= permūtā(re) to permute + -tiō -tion]
per`mu•ta′tion•al, adj.
per`mu•ta′tion•ist, n.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.permutation - an event in which one thing is substituted for anotherpermutation - an event in which one thing is substituted for another; "the replacement of lost blood by a transfusion of donor blood"
variation, fluctuation - an instance of change; the rate or magnitude of change
2.permutation - the act of changing the arrangement of a given number of elements
mathematical operation, mathematical process, operation - (mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation"; "they were learning the basic operations of arithmetic"
3.permutation - complete change in character or condition; "the permutations...taking place in the physical world"- Henry Miller
translation, transformation - the act of changing in form or shape or appearance; "a photograph is a translation of a scene onto a two-dimensional surface"
4.permutation - act of changing the lineal order of objects in a group
reordering - a rearrangement in a different order
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

permutation

Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

permutation

noun
The process or result of making or becoming different:
The American Heritage® Roget's Thesaurus. Copyright © 2013, 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Translations
إبْدال، تَبْديل
obměna
kombinationsmulighed
permutáció
umröîun, umbreyting
kombinacijasukeitimas
kombinācijapermutācija
permutácia
devşirimpermitasyon

permutation

[ˌpɜːmjʊˈteɪʃən] N
1. (Math) [of number] → permutación f
2. (= variety, combination) → combinación f
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

permutation

[ˌpɜːrmjʊˈteɪʃən] npermutation f
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

permutation

nPermutation f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

permutation

[ˌpɜːmjʊˈteɪʃn] npermutazione f
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

permutation

(pəːmjuˈteiʃən) noun
a particular order in which things are arranged. We can write down these numbers in various permutations.
Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.
References in periodicals archive ?
** Too many signals [right arrow] increase the complexity of the duty cycle representation
Then, several different duty cycle representation, from Level I (engine torque/speed curve), to Level II (engine plus pump), to Level III (signals from each hydraulic actuators), is discussed with the corresponding advantages and disadvantage.
In Section 2,wegive a brief account of certain concepts of cycle representation theory of Markov processes that we will need throughout the paper.