permutation
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See also: Permutation
English
Etymology
From Middle English permutacioun, permutacyoun, from Old French permutacïon, promutatïon and Medieval Latin permūtātiōnem, accusative of permūtātiō. Morphologically permute + -ation
Pronunciation
- (UK) IPA(key): /ˌpɜː.mjʊˈteɪ.ʃən/,
Audio (Southern England): (file)
- (US) IPA(key): /ˌpɝ.mjʊˈteɪ.ʃən/,
- (General Australian) IPA(key): /ˌpɜː.mjʉˈtæɪ.ʃən/,
Audio (Brisbane): (file)
- Rhymes: -eɪʃən
Noun
permutation (countable and uncountable, plural permutations)
- One of the ways something exists, or the ways a set of objects can be ordered.
- Which permutation for completing our agenda items makes the most sense?
- (mathematics) A one-to-one mapping from a finite set to itself.
- This permutation takes each element to the one following it, with the last mapped back to the first.
- (mathematics, combinatorics) An ordering of a finite set of distinct elements.
- There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
- (music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
Derived terms
Translations
one-to-one mapping
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ordering of a set of distinct elements
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music: transformation of a set's prime form
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- The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.
Translations to be checked
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See also
- (combinatorics): combination
Anagrams
French
Etymology
Learned borrowing from Latin permūtātiō, from permūtāre.
Pronunciation
Noun
permutation f (plural permutations)
- permutation
- Synonym: interversion
Further reading
- “permutation”, in Trésor de la langue française informatisé , 2012.
Swedish
Noun
permutation c
- (mathematics) permutation; one-to-one mapping of a finite set to itself
- (mathematics) permutation; an ordering of a finite set of distinct elements
- (law) a change of the bylaws or instructions of a foundation from those set out in a testament
Declension
| Declension of permutation | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | permutation | permutationen | permutationer | permutationerna |
| Genitive | permutations | permutationens | permutationers | permutationernas |