permutation

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/, [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

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

• permutation box
• permutation group
• permutation lock
• simsun permutation

 

Translations

one-to-one mapping

• Bulgarian: пермутация f (permutacija), разместване (bg) n (razmestvane)
• Czech: permutace f
• Esperanto: permuto
• Finnish: permutaatio (fi)
• French: permutation (fr) f
• Italian: permutazione (it) f
• Polish: permutacja (pl) f
• Portuguese: permutação (pt) f
• Romanian: permutare (ro) f, permutație (ro) f
• Russian: пермута́ция (ru) f (permutácija)
• Spanish: permutación f
• Swedish: permutation (sv) c

ordering of a set of distinct elements

• Arabic: تَبْدِيل (tabdīl)
• Chinese:

  Mandarin: 排列 (zh) (pàiliè)

• Czech: permutace f
• Esperanto: permutaĵo
• Finnish: permutaatio (fi)
• French: permutation (fr) f
• Georgian: გადანაცვლება (gadanacvleba)
• German: Permutation (de) f
• Indonesian: permutasi (id)
• Italian: permutazione (it) f
• Malay: pilih atur
• Maori: whiriwhiringa raupapa
• Norwegian:

  Bokmål: permutasjon

• Polish: permutacja (pl) f
• Portuguese: permutação (pt) f
• Russian: перестано́вка (ru) f (perestanóvka), пермута́ция (ru) f (permutácija)
• Spanish: permutación f
• Swedish: permutation (sv) c
• Tagalog: pamalitan
• Turkish: permütasyon (tr)

music: transformation of a set's prime form

• Finnish: permutaatio (fi)
• Portuguese: permutação (pt) f
• Russian: пермута́ция (ru) f (permutácija)

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

• Estonian: ^{(please verify)} permutatsioon
• Latin: ^{(please verify)} permutatio (la)
• Slovak: ^{(please verify)} permutácia f

See also

• (combinatorics): combination

Anagrams

• importunate, premutation

French

Etymology

Learned borrowing from Latin permūtātiō, from permūtāre.

Pronunciation

• IPA^(key): /pɛʁ.my.ta.sjɔ̃/

• Audio:

  (file)

Noun

permutation f (plural permutations)

1. permutation

   Synonym: interversion

Further reading

• “permutation”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

Swedish

Noun

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

Declension of permutation

		nominative	genitive
singular	indefinite	permutation	permutations
	definite	permutationen	permutationens
plural	indefinite	permutationer	permutationers
	definite	permutationerna	permutationernas

See also

• permutera