Suppose I have two real numbers A and B (A $\wedge$ B $\subset$ $\mathbb{R}$).
I want to do some algebra over these number and get 1 if they are equal and get 0 if not.
For example:
In this equation $sin(A)^2+cos(b)^2$ if A and B are equal we get 1 but we will not get 0 if they are not.
or obviously:
$A \times \frac{1}{B}$ will generate one if A and B are the same otherwise we will get something else.
I look for some sort of algebra to not only get one if the numbers are the same but also get 0 if they are different.
I prefer multiplication (second equation) as I can create a matrix algebra for that.
If you allow the floor function, $\lfloor x\rfloor$, you could use $$\left\lfloor \frac{1}{(A-B)^2+1}\right\rfloor$$