Signature

Signature[list]

gives the signature of the permutation needed to place the elements of list in canonical order.

Details

  • The signature of the permutation is (-1)n, where n is the number of transpositions of pairs of elements that must be composed to build up the permutation.
  • If any two elements of list are the same, Signature[list] gives 0.
  • Signature can be used on expressions with any head, not only List.

Examples

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Basic Examples  (1)

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Applications  (3)

Properties & Relations  (2)

Possible Issues  (2)

Neat Examples  (1)

Introduced in 1988
(1.0)