Definify.com
Webster 1913 Edition
Permutation
1.
The act of permuting; exchange of the thing for another; mutual transference; interchange.
The violent convulsions and
permutations
that have been made in property. Burke.
2.
(Math.)
(a)
The arrangement of any determinate number of things, as units, objects, letters, etc., in all possible orders, one after the other; – called also , 4.
alternation
. Cf. Combination
, Noun.
(b)
Any one of such possible arrangements.
3.
(Law)
Barter; exchange.
Permutation lock
, a lock in which the parts can be transposed or shifted, so as to require different arrangements of the tumblers on different occasions of unlocking.
Webster 1828 Edition
Permutation
PERMUTA'TION
,Noun.
1.
In commerce, exchange of one thing for another; barter.2.
In the canon law, the exchange of one benefice for another.3.
In algebra, change or different combination of any number of quantities.Definition 2024
Permutation
permutation
permutation
See also: Permutation
English
Noun
permutation (plural permutations)
- 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.?
- (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
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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Anagrams
See also
- (combinatorics): combination
French
Etymology
From Latin permutationem (nominative: permutatio), from permutatus (past participle of permutare).
Noun
permutation f (plural permutations)
Swedish
Noun
permutation c
- (mathematics) permutation; one-to-one mapping of a finite set to itself
- (mathematics) permutation; an ordering of a finite set of distinct elements
- (law) a change of the bylaws or instructions of a foundation from those set out in a testament
Declension
| Inflection of permutation | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | permutation | permutationen | permutationer | permutationerna |
| Genitive | permutations | permutationens | permutationers | permutationernas |