Generalized algebra within a nonextensive statistics
Mathematical Physics
2009-11-10 v4 math.MP
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.
Cite
@article{arxiv.math-ph/0303061,
title = {Generalized algebra within a nonextensive statistics},
author = {L. Nivanen and A. Le Mehaute and Q. A. Wang},
journal= {arXiv preprint arXiv:math-ph/0303061},
year = {2009}
}
Comments
11 pages, no figure, TeX. Reports on Mathematical Physics (2003), in press