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The Duality of Entropy/Extropy, and Completion of the Kullback Information Complex

2018
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Entropy
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The refinement axiom for entropy has been provocative in providing foundations of information theory, recognised as thoughtworthy in the writings of both Shannon and Jaynes. A resolution to their concerns has been provided recently by the discovery that the entropy measure of a probability distribution has a dual measure, a complementary companion designated as "extropy". We report here the main results that identify this fact, specifying the dual equations and exhibiting some of their

doi:10.3390/e20080593
pmid:33265682
fatcat:ii2d7gcyczecremjnsztbjve54