/sci/ - Science & Math

Btw. I dare anyone to find the smallest polynomials implementing the binary operations
We know that
[math] x\land y := x\cdot y [/math]
in the binary representations ([math] F=0, T=1 [/math]). So what's [math] \land [/math] if we add a third value [math] M [/math] with values as in the grid in pic related?
Since it says [math] (0\land x) = (x\land 0) = 0 [/math], I think it's save to make the ansatz

[math] x \land y = x\cdot y\cdot p(x,y) [/math]

and go from there..