permutation
See also: Permutation
English edit
Etymology edit
From Middle English permutacioun, permutacyoun, from Old French permutacïon, promutatïon and Medieval Latin permūtātiōnem, accusative of permūtātiō. Morphologically permute + -ation
Pronunciation edit
- (UK) IPA(key): /ˌpɜː.mjʊˈteɪ.ʃən/, [ˌpɜː.mjʊˈteɪ.ʃn̩]
Audio (Southern England) (file)
- (US) IPA(key): /ˌpɝ.mjʊˈteɪ.ʃən/, [ˌpɝ.mjʊˈteɪ.ʃn̩]
- (General Australian) IPA(key): /ˌpɜː.mjʉˈtæɪ.ʃən/, [ˌpɜː.mjʉˈtæɪ.ʃn̩]
Audio (Brisbane ) (file)
- Rhymes: -eɪʃən
Noun edit
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 edit
Translations edit
one-to-one mapping
|
ordering of a set of distinct elements
|
music: transformation of a set's prime form
|
- 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
|
See also edit
- (combinatorics): combination
Anagrams edit
French edit
Etymology edit
Learned borrowing from Latin permūtātiō, from permūtāre.
Pronunciation edit
Noun edit
permutation f (plural permutations)
- permutation
- Synonym: interversion
Further reading edit
- “permutation”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.
Swedish edit
Noun edit
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 edit
Declension of permutation | ||||
---|---|---|---|---|
Singular | Plural | |||
Indefinite | Definite | Indefinite | Definite | |
Nominative | permutation | permutationen | permutationer | permutationerna |
Genitive | permutations | permutationens | permutationers | permutationernas |