论文标题
努力最小与最大效率的原则:得出Zipf-Pareto法律
Principle of least effort vs maximum efficiency: deriving Zipf-Pareto laws
论文作者
论文摘要
本文直接从最少的努力原则中提供了Zipf-Pareto法律的推论。由于热力学发动机的效率扩展到发动机的大量活着的生物效率,因此引入了效率的概率功能,这都是随机分布在其输出上的。最大演算在此效率上的应用会产生Zipf-Pareto定律。
This paper provides a derivation of Zipf-Pareto laws directly from the principle of least effort. A probabilistic functional of efficiency is introduced as the consequence of an extension of the nonadditivity of the efficiency of thermodynamic engine to a large number of living agents assimilated to engines, all randomly distributed over their output. Application of the maximum calculus to this efficiency yields the Zipf-Pareto laws.