非广延统计量中的广义代数
Generalized algebra within a nonextensive statistics
摘要：
通过考虑非广延统计中常用的广义对数和指数函数，推广了加、减、积、除四种常用的代数算子。研究了广义算子的性质。保留了一些标准属性，例如，结合性、交换性和中性元的存在性。相反，分配律和对立元在广义代数中不再具有普适性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
