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Alteration vs Permutation - What's the difference?

alteration | permutation | Related terms |

As nouns the difference between alteration and permutation

is that alteration is the act of altering or making different while permutation is a one-to-one mapping from a finite set to itself.




(en noun)
  • The act of altering or making different.
  • * 1594 , , Of the Laws of Ecclesiastical Polity ,
  • alteration , though it be from worse to better, hath in it inconveniences…
  • The state of being altered; a change made in the form or nature of a thing; changed condition.
  • * 1892 , ,
  • …and I saw by the alteration in your face that a train of thought had been started.
    (Webster 1913)






    (wikipedia permutation) (en noun)
  • (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.
  • Anagrams

    * importunate

    See also

    * (combinatorics) combination ----