different between alteration vs permutation

English

Etymology

From Old French alteracion (French altération), from Medieval Latin alter?ti?.Morphologically alter +? -ation

Pronunciation

• (UK) IPA^(key): /?l.t?(?)?e?.??n/
• (US) IPA^(key): /?l.t??e?.??n/
• Rhymes: -e???n

Noun

alteration (countable and uncountable, plural alterations)

1. The act of altering or making different.
2. The state of being altered; a change made in the form or nature of a thing; changed condition.
   • 1892, Arthur Conan Doyle, The Resident Scholar in The Memoirs of Sherlock Holmes,

     …and I saw by the alteration in your face that a train of thought had been started.

Translations

References

• “alteration” in Dictionary.com Unabridged, Dictionary.com, LLC, 1995–present.

Interlingua

Noun

alteration (plural alterationes)

1. change, alteration

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