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A new derivation of the entropy expressions

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1 Author(s)

In the discrete case, the Shannon expression for entropy is obtained as a line integral in probability space. The integrand is the "information density vector" ( \log p_1, \log p_2, \cdots , \log p_n) . In the continuous case, the continuous analog of information density is integrated to obtain the entropy expression for continuous probability distributions.

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Information Theory, IRE Transactions on  (Volume:7 ,  Issue: 3 )