Functions > Special Functions > Piecewise Functions > Antisymmetric Tensor Function
Antisymmetric Tensor Function
ε(i, j, k)—Returns the completely antisymmetric tensor of rank 3. Result is 0 if any two arguments are the same, 1 for even permutations, −1 for odd permutations.
To type ε, press e, Ctrl+G.
The antisymmetric tensor of rank 3 determines the number of pairwise switches from [i, j, k] to the sequence [0, 1, 2]. If the number of times is even, the function returns 1. If the number of times is odd, the function returns −1. If two or more function arguments are identical, the function returns 0.
i, j, k are dimensionless integers from ORIGIN to ORIGIN + 2.
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