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(information theory) The Shannon entropy of a script whose characters are elements of the Cartesian product of the sets of characters of the component scripts.

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joint entropy

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joint entropy

noun

The joint entropy of the system is calculated using the formula.

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If random variables X and Y are mutually independent, then their joint entropy H(X,Y) is just the sum H(X)+H(Y) of its component entropies. If they are not mutually independent, then their joint entropy will be H(X)+H(Y)-I(X;Y) where I(X;Y) is the mutual information of X and Y.

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joint entropy

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