Signature

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

Examples: Signature[a,b,c] ; Signature[a,c,b] .

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 Section 3.2.5 and Section 3.7.11.

See also: Order, Sort, Cross, Minors, Det, KroneckerDelta.

Related package: DiscreteMath`Combinatorica`.

New in Version 1.

Further Examples