Additive Entropies of degree-q and the Tsallis Entropy

Details Additive Entropies of degree-q and the Tsallis Entropy Additive Entropies of degree-q and the Tsallis Entropy

2003-10-23

arxiv.org/abs/physics/0310117v1

Journal of Applied Sciences 5 (2005) 315-322

Physics

Classical Physics

13 pages

Scientific paper

The Tsallis entropy is shown to be an additive entropy of degree-q that information scientists have been using for almost forty years. Neither is it a unique solution to the nonadditive functional equation from which random entropies are derived. Notions of additivity, extensivity and homogeneity are clarified. The relation between mean code lengths in coding theory and various expressions for average entropies is discussed.

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