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arXiv · math-ph/0303061

Generalized algebra within a nonextensive statistics

L. Nivanen·A. Le Mehaute·Q. A. Wang
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Abstract

By considering generalized logarithm and exponential functions used in nonextensive statistics, the four usual algebraic operators : addition, subtraction, product and division, are generalized. The properties of the generalized operators are investigated. Some standard properties are preserved, e.g., associativity, commutativity and existence of neutral elements. On the contrary, the distributivity law and the opposite element is no more universal within the generalized algebra.

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L. Nivanen, A. Le Mehaute, Q. A. Wang. 2003-06-06. Generalized algebra within a nonextensive statistics. https://doi.org/10.1016/s0034-4877(03)80040-x

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