Permutation meaning

pûrmyo͝o-tāshən
permutations
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Frequency:
Any radical alteration; total transformation.
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A complete change; a transformation.

The country's permutation into a modern democracy.

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One possible combination of items out of a larger set of items. For example, with the set of numbers 1, 2 and 3, there are six possible permutations: 12, 21, 13, 31, 23 and 32.
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(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.

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(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}.

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(music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
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Origin of permutation

  • From Old French permutacion (French: permutation).

    From Wiktionary

Permutation Sentence Examples

  • This permutation by a transposition of two numbers, say a, 13, becomes 0, a, 7, ...

  • Separation anxiety disorder is one permutation of anxiety disorders that is common in children.

  • By this permutation, Aleph, the first letter of the alphabet, becomes Lamed, the twelfth letter; Beth becomes Mem, and so on.

  • permutation entries are applied in full to the remaining races.

  • a and 13 are transposed, and it is clear that the number of transpositions necessary to convert the permutation say...v of the second suffixes to the natural order is changed by unity.

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Related articles

Words near permutation in the Dictionary