This derivation of the inequality: S(a,a',b,b')= l E(a,b) - E(a,b')l + l E(a',b) + E(a',b')l ≤ 2(adsbygoogle = window.adsbygoogle || []).push({});

can use values taken from a correlation function with setting angles that equals cos(α-β )

and then inserted in above inequality

This form of a correlation function: q(∅_{1},∅_{2}) = N_{same}(∅_{1},∅_{2}) - N_{different}(∅_{1},∅_{2})/N_{same}+ N_{different}

uses actual counts and the specific values are inserted in the four locations in above inequality.

The question is whether the values from two different correlation functions , in first case using angles and in second case using counts, produce equivalent violations. and if so is there a conceptual way to to understand that ?

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# Equivalent Ways to Calculate Inequality Violation ?

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