gives the signature of the permutation needed to place the elements of list in canonical order.
- 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.
Examplesopen allclose all
Find even permutations:
Rank-3 totally antisymmetric (Levi-Civita) tensor:
Contractions of Levi-Civita tensors:
Properties & Relations (2)
Find components of a 3D cross product:
Compute a determinant:
Compare with built‐in Det: