gives the d-dimensional Levi-Civita totally antisymmetric tensor.
- LeviCivitaTensor[d] gives a rank-d tensor with length d in each dimension.
- The elements of LeviCivitaTensor[d] are 0, -1, +1, and can be obtained by applying Signature to their indices.
- LeviCivitaTensor by default gives a SparseArray object. LeviCivitaTensor[d,List] returns a normal array, while LeviCivitaTensor[d,SymmetrizedArray] returns a symmetrized array.
Examplesopen allclose all
Introduced in 2008
(7.0)| Updated in 2014