在Kaniadakis的透中多重添加性
Antonio M Scarfone1, Tatsuaki Wada2
1Istituto dei Sistemi Complessi-Consiglio Nazionale delle Ricerche (ISC-CNR), c/o Dipartimento di Scienza Applicata e Tecnologia del Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.
卡尼亚达基的,一种的通用形式,在特定的约束条件下被证明是多增值的. 这一发现适用于由独立和相同分布的系统组成的最大分布的类.
科学领域:
- 统计力学 统计力学
- 信息理论 信息理论
- 数学物理 数学物理
背景情况:
- 卡尼亚达基的是香农-博尔兹曼-吉布斯的概括.
- 众所周知,卡尼亚达基斯对于双边统计学独立分布是超添加的.
- 在各种科学领域中,了解性质至关重要.
研究的目的:
- 调查卡尼亚达基的在哪些条件下表现出多重附加性.
- 用这个属性来识别最大分布的类.
- 探索由独立且相同分布的分布组成的系统的影响.
主要方法:
- 对分发施加适当的约束.
- 分析两个统计学上独立且分布相同的分布的组成.
- 导出Kaniadakis的多添加性属性Sκ[pAB]=(1+ℵ)Sκ[pA]+Sκ[pB].
主要成果:
- 存在最大分布类,标记为 ℵ > 0.
- 卡尼亚达基的变为这些类的多添加.
- 对于两个统计学上独立且分布相同的分布的组成,多重附加性是正确的.
结论:
- 已经确定了一种新型的分布类,表现出多添加的卡尼亚达基斯.
- 这项研究扩大了对增值特性的理解.
- 这些发现对统计力学和信息理论有潜在的影响.
更多相关视频
11:44Spin Saturation Transfer Difference NMR SSTD NMR: A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
Published on: November 12, 2016
11:15Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
Published on: June 27, 2013
相关概念视频
Entropy
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Entropy and Solvation
Radical Anti-Markovnikov Addition to Alkenes: Thermodynamics
Entropy and the Second Law of Thermodynamics
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
The Second Law of Thermodynamics
