permutation
Definition from Wiktionary, the free dictionary
See also Permutation
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[edit] English
[edit] Etymology
From Old French permutacion (French: permutation).
[edit] Pronunciation
- Rhymes: -eɪʃən
[edit] Noun
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.
[edit] Translations
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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[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.
- permutation; one-to-one mapping of a finite set to itself
- permutation; an ordering of a finite set of distinct elements
[edit] Declension
Declension of permutation
| singular | plural | |||
|---|---|---|---|---|
| Common | indefinite | definite | indefinite | definite |
| nominative | permutation | permutationen | permutationer | permutationerna |
| genitive | permutations | permutationens | permutationers | permutationernas |
