Generalized algebra within a nonextensive statistics

Details Generalized algebra within a nonextensive statistics Generalized algebra within a nonextensive statistics

2003-03-26

arxiv.org/abs/math-ph/0303061v4

Reports on Mathematical Physics, 52, 437 (2003)

Physics

Mathematical Physics

11 pages, no figure, TeX. Reports on Mathematical Physics (2003), in press

Scientific paper

10.1016/S0034-4877(03)80040-X

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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