permutation
Definition from Wiktionary, a free dictionary
See also Permutation
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[edit] English
[edit] Etymology
From Old French permutacion (French: permutation).
[edit] Pronunciation
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- Rhymes: -eɪʃǝn
[edit] Noun
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Singular |
Plural |
permutation (plural permutations)
- (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) 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.
[edit] Translations
one-to-one mapping
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ordering of a set of distinct elements
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transformation of a set's prime form
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Translations to be checked
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[edit] Anagrams
[edit] See also
[edit] French
[edit] Etymology
From Latin permutationem (nominative: permutatio), from permutatus (past participle of permutare).
[edit] Noun
permutation f. (plural permutations)
[edit] Swedish
[edit] Noun
permutation c.
| Inflection for permutation | Singular | Plural | ||
|---|---|---|---|---|
| common | Indefinite | Definite | Indefinite | Definite |
| Base form | permutation | permutationen | permutationer | permutationerna |
| Possessive form | permutations | permutationens | permutationers | permutationernas |
- permutation; one-to-one mapping of a finite set to itself
- permutation; an ordering of a finite set of distinct elements
