different between iteration vs permutation

English

Etymology

From Latin iter?ti?, from iter?.Morphologically iterate +? -ion

Pronunciation

• IPA^(key): /?t???e???n/
• Rhymes: -e???n

Noun

iteration (plural iterations)

1. Recital or performance a second time; repetition.
2. A variation or version.
3. (computing) The use of repetition in a computer program, especially in the form of a loop.
4. (computing) A single repetition of the code within such a repetitive process.

Synonyms

• (repetition): reiteration, repeat; see also Thesaurus:reoccurrence

Hyponyms

• (computing): polymorphic iteration

Translations

English

Etymology

From Middle English permutacioun, permutacyoun, from Old French permutacïon, promutatïon and Medieval Latin perm?t?ti?nem, accusative of perm?t?ti?.Morphologically permute +? -ation

Pronunciation

• Rhymes: -e???n

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.

Translations

See also

• (combinatorics): combination

Anagrams

• importunate, premutation

French

Etymology

Borrowed from Latin perm?t?ti?, from perm?t?re.

Pronunciation

Noun

permutation f (plural permutations)

1. permutation

Synonyms

• interversion

Further reading

• “permutation” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

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

See also

• permutera