应用吉布斯正则系综导出了玻耳兹曼分布律。
This paper is an application of Gibbs canonical ensemble to the derivation of Boltzmann Distribution law.
通过对玻耳兹曼分布律的推广，从而证明能均分定理。
Law of equipartition of energy is proved by the promotion of Boltzmann distribution Law.
应用麦克斯韦速度分布律严格证明了理想气体状态方程。
The application of Maxwell velocity distribution law rigidly proves that the statistical proof on the state equation of ideal gas.
本文论述了离散型随机变量的次序统计量的分布律及其有关推论。
In this paper, we study the distribution law of order statistic of discrete type random variable.
文中主要介绍了利用误差分布律概率密度函数定权来进行抗差估计的一种方法。
An introduction is Made of the method of using the weight of probability density function of error distribution law to conduct anti-error estimation.
用麦克斯韦速度分布律、玻耳兹曼分布律、自由程分布律整合了气体动理论的教学。
The teaching of the kinetic theory of gases is rearranged with Maxwell velocity distribution law, Boltzman distribution law and free path distribution law.
考虑这个分量以后，压力不再符合静水压力分布律，据此可以得到高阶浅水流动方程。
In this case, the flow should be described by high-order sallow water flow equation.
在电子环型加速器中可以证明，电子束团中粒子沿纵向的分布律可近似地表示成为空心分布。
It is proved that in electron circular accelerator, the longitudinal distribution of particles in electron bunch can be approximately expressed as hollow distribution.
本文讨论非线性随机离散系统状态估值问题的测度变换，推得系统的状态对于观测的条件分布律。
We obtain an explicit formulae for the conditional distribution laws of the state of the dynamical system with respect to the observed data.
本文以碰撞几率定律——电子自由程分布律为基础，进行统计计算，导出了碰撞次数公式及电子繁流公式。
The microscopic processes of an electron avalanche are discussed and calculations are made by the statistics of collision probability.
根据麦克斯韦速度分布律，表示出系统内分子相对某一个分子的平均相对速率，进而求出两分子间的平均相对速率。
The average speed of molecules in a system relative to a molecule is expressed and the average relative speed between two molecules is given on the basis of Maxwell velocity distribution law.
应用比较法，通过分析和计算，定义了重力场中粒子数按高度分布律的分界高度和分界温度概念，并给出了其定量公式。
With comparison method, the division altitude and diversion temperature about the distribution law of particles in gravitational field are given.
根据陆基TV观测多尺度极光动力学的幂律概率分布。
Power law probability distributions of multiscale auroral dynamics from ground - based TV observations.
分布的尾部特征分析在许多领域都非常重要，估计和分辨尾部服从幂律特征还是指数特征非常重要。
It is important to analyze the tail behavior of distributions in many areas, and there is a controversy about distinctions between exponential-type and power-type tails.
自然界与社会生活中存在多种性质迥异的幂律分布现象，因而对它们的研究具有广泛而深远的意义。
Various phenomena governed by power law distributions are common in nature and in society, thus their study has broad and far_reaching significance.
实证研究显示，大量不同领域中抽象出来的网络都具有近似服从幂律的低阶集团度分布。
The empirical study indicates the extensively existence of power-law clique-degree distribution, which is an independent character to scale-free property.
研究发现在群体水平上，间隔时间分布可以用幂律函数近似刻画，并且，其幂指数和对应人群观看电影的活跃程度之间存在单调的关系。
A monotonous relation between the activity and power-law exponent in the group level is found, and in the individual level, we observe heavy-tailed distribution for.
自然界与社会生中存在各种各样质迥异的幂律分布现象，因而对它们的研究具有广泛而深远的意义。
Various power law distribution phenomena with different characters are ubiquitous in nature and society, thus their research carries broad and far-reaching significance.
涉及的概率极限定理包括强大数律，收敛速度，依分布收敛和大偏差原理。
Probability limit theorems surveyed mainly involved strong laws of large Numbers, rates of convergence, convergence in distribution and large deviation principles.
本文首次指出电化学噪声服从对数正态分布与反幂律，它的产生在于系统的复杂性。
This paper points out that the electrochemical noise obey logarithmic normal distribution and inverse power law, and the electrochemical noise is caused by the systematic complex.
本文探讨了离散的三项分布风险模型，重点研究了与风险有关的最终破产概率和破产前一刻的盈余的概率律。
The trinomial distribution risk model in discrete setting is explored . The probability of ultimate ruin and the probability laws of the surplus immediately before ruin are discussed with emphasis.
以椭圆渗流模型为基础，得到了分形油藏中，垂直裂缝井的幂律型非牛顿流体的定常渗流的压力分布公式和产量公式；
The steady oil production and pressure distribution formulae of vertically fractured well for power_law non_Newtonian fluid were derived on the basis of the elliptic flow model in fractal reservoirs.
研究表明，中国城市航空网络是一个小世界网络，具有短的平均路径长度和大的簇系数，且其度分布服从双段幂律分布。
The present network is a small-world network with short average path length and high degree of clustering, and its degree distribution follows a double power law.
研究表明，中国城市航空网络是一个小世界网络，具有短的平均路径长度和大的簇系数，且其度分布服从双段幂律分布。
It is shown that the present network is a small-world network with short average path length and high degree of clustering, and its degree distribution follows a double power law.
结果表明，网络的强度分布、权重分布以及度分布具有幂律尾部，同时，网络的集群系数很高。
Results show that the network possesses power-law behavior of the strength, weightand degree distributions, meanwhile, the clustering coefficient of the network is high.
得到下面主要结果：(1)各个高度上水平风速模涨落的概率分布近于正态律。
The main results are: 1. The horizontal wind speed fluctuations at any height may be approximated by a Gaussian distribution.
通过速率方程证明了该网络是节点度分布符合幂律分布的无标度网络，其幂指数为- 3，且平均连接度为给定值。
It is proved that the degree distribution of the network obeys power-law form with the exponent-3, and the mean connected degree is given value.
根据已有研究结果，环形激光器的工作寿命服从威布尔分布，加速方程符合逆幂律方程。
According to the existing experimental conclusion, the lifetime distribution of the laser obeys Weibull distribution and anti-power law at large electric current.
利用随机矩阵理论我们发现相对收益的关联矩阵的特征值分布也具有幂律的特征。
By using random matrix theory we find that the distribution of eigenvalues of correlation matrix of relative return also follows a power-law.
引用无穷小概念，结合0 - 1律讨论了该模型的分布收敛于退化正态分布的条件。
The condition of this model converge to degenerate normal distribution is discussed by citing the idea of infinitesimal, combining with the law of 0-1.
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