Now, Bell could patch over this problem. For instance, they could pick a bunch of functions like X2, sin(Y), eX+2X−1, etc, and require that those also be uncorrelated.
One neat thing, if you require ALL functions to be uncorrelated, then this is equivalent to saying the mutual information is 0.
One neat thing, if you require ALL functions to be uncorrelated, then this is equivalent to saying the mutual information is 0.