Kronecker-Delta-like function with value (-1) replacing (0)

Question

The Kronecker-Delta function $\delta$(x,y) takes 2 arguments and outputs (1) when the arguments are equal and (0) when the arguments are not equal.

Is there a name/ID for a similar function which outputs (-1) and not (0) when the inputs are not equal?

Answer 1

I'm not aware of a name for such a function, but you could achieve it with $2\delta(x,y)-1$.