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Signature

Usage

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


Notes

• Examples: Signature[ a,b,c ]LongRightArrow ; Signature[ a,c,b ]LongRightArrow .
• The signature of the permutation is  , where  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.
• See also: Order, Sort, Cross, Minors, Det, KroneckerDelta.
• Related package: DiscreteMath`Combinatorica`.
• New in Version 1.


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