per·mu·ta·tion

(pûr′myo͝o-tā′shən)

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)

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!/(n–r)!. 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.

ThesaurusAntonymsRelated WordsSynonymsLegend:

Noun	1.	permutation - an event in which one thing is substituted for another; "the replacement of lost blood by a transfusion of donor blood" substitution, switch, transposition, replacement 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

permutation

noun transformation, change, shift, variation, modification, alteration, mutation, transmutation, transposition an infinite variety of permutations

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:

alteration, change, modification, mutation, variation.

Translations

إبْدال، تَبْديل

obměna

kombinationsmulighed

Permutation Umstellung

arrangement

permutáció

umröîun, umbreyting

permutazione

kombinacijasukeitimas

kombinācijapermutācija

permutasjon

permutácia

devşirimpermitasyon

排列

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

[ˌpɜː^rmjʊˈteɪʃ^ən] n → permutation f

permutation

n → Permutation 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

[ˌpɜːmjʊˈteɪʃ/ən] n → permutazione f

permutation

(pəːmjuˈteiʃən) noun

a particular order in which things are arranged. We can write down these numbers in various permutations.

Mentioned in

References in classic literature

Meantime, as life wears on, it proves a game of permutation and combination of all possible positions of the parties, to employ all the resources of each and acquaint each with the strength and weakness of the other.

View in context

A was undermining B, D was undermining C, and so on in all possible combinations and permutations. In all these plottings the subject of intrigue was generally the conduct of the war, which all these men believed they were directing; but this affair of the war went on independently of them, as it had to go: that is, never in the way people devised, but flowing always from the essential attitude of the masses.

View in context

Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body.

What We Are Reading Today: Prime Suspects

Wigner function was recognized to contain permutation symmetry in its structure [12].

The Magic of Universal Quantum Computing with Permutations

As a result, a new RF fingerprinting method based on multidimension permutation entropy is proposed.

Radio Frequency Fingerprint Extraction Based on Multidimension Permutation Entropy

We refer to the proposed scheme as partial permutation based encryption scheme.

Energy Efficient Partial Permutation Encryption on Network Coded MANETs

F(x) over [mathematical expression not reproducible] is EA-equivalent to permutation if and only if there is linear mapping L(x) such that F(x) + L(x) is permuted on [mathematical expression not reproducible].

Class of Quadratic Almost Bent Functions That Is EA-Inequivalent to Permutations