Generalized algebra within a nonextensive statistics
Nivanen, L. ; Mehaute, A. Le ; Wang, Q. A.
arXiv, 0303061 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-03-26
Classification:  Mathematical Physics 
@article{0303061,
     author = {Nivanen, L. and Mehaute, A. Le and Wang, Q. A.},
     title = {Generalized algebra within a nonextensive statistics},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303061}
}

Nivanen, L.; Mehaute, A. Le; Wang, Q. A. Generalized algebra within a nonextensive statistics. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303061/