permutation
Definition from Wiktionary, the free dictionary
See also Permutation
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English [edit]
Etymology [edit]
From Old French permutacion (French: permutation).
Pronunciation [edit]
- Rhymes: -eɪʃən
Noun [edit]
Wikipedia 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, 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.
Translations [edit]
one-to-one mapping
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ordering of a set of distinct elements
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music: transformation of a set's prime form
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- The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.
Translations to be checked
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Anagrams [edit]
See also [edit]
- (combinatorics): combination
French [edit]
Etymology [edit]
From Latin permutationem (nominative: permutatio), from permutatus (past participle of permutare).
Noun [edit]
permutation f (plural permutations)
Swedish [edit]
Noun [edit]
permutation c
- permutation; one-to-one mapping of a finite set to itself
- permutation; an ordering of a finite set of distinct elements
Declension [edit]
Declension of permutation
| singular | plural | |||
|---|---|---|---|---|
| Common | indefinite | definite | indefinite | definite |
| nominative | permutation | permutationen | permutationer | permutationerna |
| genitive | permutations | permutationens | permutationers | permutationernas |
