permutation
See also: Permutation
English
editEtymology
editFrom 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
editpermutation (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
editTranslations
editone-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
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See also
edit- (combinatorics): combination
Anagrams
editFrench
editEtymology
editLearned borrowing from Latin permūtātiō, from permūtāre.
Pronunciation
editNoun
editpermutation 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
editNoun
editpermutation 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| nominative | genitive | ||
|---|---|---|---|
| singular | indefinite | permutation | permutations |
| definite | permutationen | permutationens | |
| plural | indefinite | permutationer | permutationers |
| definite | permutationerna | permutationernas |
Related terms
editReferences
editCategories:
- English terms inherited from Middle English
- English terms derived from Middle English
- English terms derived from Old French
- English terms derived from Medieval Latin
- English terms suffixed with -ation
- English 4-syllable words
- English terms with IPA pronunciation
- English terms with audio pronunciation
- English 5-syllable words
- Rhymes:English/eɪʃən
- Rhymes:English/eɪʃən/4 syllables
- English lemmas
- English nouns
- English uncountable nouns
- English countable nouns
- English terms with usage examples
- en:Mathematics
- en:Combinatorics
- en:Music
- French terms borrowed from Latin
- French learned borrowings from Latin
- French terms derived from Latin
- French 4-syllable words
- French terms with IPA pronunciation
- French terms with audio pronunciation
- French lemmas
- French nouns
- French countable nouns
- French feminine nouns
- Swedish lemmas
- Swedish nouns
- Swedish common-gender nouns
- sv:Mathematics
- sv:Law