See also: Permutation

English edit

 
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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]
    • (file)
  • (US) IPA(key): /ˌpɝ.mjʊˈteɪ.ʃən/, [ˌpɝ.mjʊˈteɪ.ʃn̩]
  • (General Australian) IPA(key): /ˌpɜː.mjʉˈtæɪ.ʃən/, [ˌpɜː.mjʉˈtæɪ.ʃn̩]
    • (file)
  • Rhymes: -eɪʃən

Noun edit

permutation (countable and uncountable, plural permutations)

  1. 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?
  2. (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.
  3. (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}.
  4. (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

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See also edit

Anagrams edit

French edit

Etymology edit

Learned borrowing from Latin permūtātiō, from permūtāre.

Pronunciation edit

Noun edit

permutation f (plural permutations)

  1. permutation
    Synonym: interversion

Further reading edit

Swedish edit

Noun edit

permutation c

  1. (mathematics) permutation; one-to-one mapping of a finite set to itself
  2. (mathematics) permutation; an ordering of a finite set of distinct elements
  3. (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

See also edit