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.

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

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:
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

permutation

permutation

noun
The process or result of making or becoming different:
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

permutation

[ˌpɜːrmjʊˈteɪʃən] npermutation f

permutation

nPermutation f

permutation

[ˌpɜːmjʊˈteɪʃn] npermutazione f

permutation

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