Computes the Levi-Civita totally antisymmetric tensor.

epsilon(n)

Arguments

n

number of dimensions.

Value

array representing the Levi-Civita symbol.

References

Guidotti, E. (2020). "calculus: High dimensional numerical and symbolic calculus in R". https://arxiv.org/abs/2101.00086

See also

Other tensor algebra: contraction(), delta(), diagonal(), einstein(), index()

Examples

### Levi-Civita symbol in 2 dimensions epsilon(2)
#> [,1] [,2] #> [1,] 0 1 #> [2,] -1 0
### Levi-Civita symbol in 3 dimensions epsilon(3)
#> , , 1 #> #> [,1] [,2] [,3] #> [1,] 0 0 0 #> [2,] 0 0 1 #> [3,] 0 -1 0 #> #> , , 2 #> #> [,1] [,2] [,3] #> [1,] 0 0 -1 #> [2,] 0 0 0 #> [3,] 1 0 0 #> #> , , 3 #> #> [,1] [,2] [,3] #> [1,] 0 1 0 #> [2,] -1 0 0 #> [3,] 0 0 0 #>