正则分布

However under certain reasonable probabilistic assumptions regarding single member failure, system loading and member load sharing, it can be shown that the system failure time is asymptotically normally distributed as the number of members grows large.

可是，在一定的合理随机假设下，考察单个构件破坏、系统的载荷及构件的受载情况，可以表明：当构件数目增加很大时，系统的破坏时间是渐近正则分布的。

The safety margin of every slice is assumed to be normal distribution and the safety margin of two next slices is bivariate normal distribution.

将滑动面上的土体按等弧长划分为n个土条，假设每个土条的安全余量服从正态分布，相邻两个土条的安全余量则服从二元正态分布，根据土条破坏传播的概率，计算土坡渐进破坏的概率以及土坡中裂缝开展长度的期望值，并对算例的结果进行了讨论。

Considering the interaction of practical gas, using the canonical distribution and statistical interpretation of gas pressure, this paper derives a pressure formula of practical gas directly.

考虑到实际气体分子之间的相互作用，利用正则分布，按照气体压强的统计解释，得到了实际气体的压强方程。

We take them as examples for listing the microcanonical distribution,the canonical distribution and the grand canonical distribution for illustrating the idea.

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式，并以常用的微正则分布、正则分布和巨正则分布予以印证。

We take them as examples for listing the micro canonical distribution ,the canonical distribution and thegrand canonical distribution for illustrating the idea.

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式，并以常用的微正则分布、正则分布和巨正则分布予以印证。

The relationship among three ensemble s (microcanonical ensemble ,canonical ensemble ,and grand canonical ensemble ) was discussed by means of derivation of distribution function,calculation of partition function,clarification of the basic thermodynamics as well as the fluctuations of particles in order to get profound cognition of these three ensemble s.

从三则系综(微正则系综、正则系综和巨正则系综)分布函数的推导，配分函数的计算，基本热力学量的表达及能量、粒子数的涨落等方面来讨论三则系综之间的关系，以便更深刻地认识三则系综之间的关系、灵活运用三则系综来解决实际问题。

Postulates of classical statistical mechanics, micro canonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas.

经典统计力学的假定、微正则、正则和巨正则分布；统计力学在晶格振动中的应用、理想气体、光子气体。

Normal distribution in statistics is based on the probability density function in the form of representation, and set up a continuous random variable X, the probability density function f has the form of Figure 1, where a, b are constants and were known as the average value and standard deviation,π, e, respectively pi and natural constants, claimed that X subject to parameters a, b of the normal distribution.

正态分布在统计学中是以概率密度函数的形式表述的，设连续型随机变量X的概率密度函数f有图1中的形式，其中a、b为常数，分别被称为平均值和标准差，π、e 分别为圆周率和自然常数，则称X服从参数为a，b的正态分布。

In the study based on noise-distribution, an approach to compute local regularization parameter and design local regularization operator adaptively is proposed according to the distribution of the noise.

在基于噪声分布的方法中，提出根据噪声分布自适应计算正则化参数及设计正则化算子的方法。

However, for the collision processes in He target, a large discrepacy between the CTMC results and experimental measurement is found. As is well known, the microcanonical distributions of bounded electrons in CTMC method is quite different from quantal distributions, we modified the initial microcanonical distribution by using eleven different ionization thresholds of electron bounded in target. With modification, we calculated the collisional process of O~(3+) with He, and the total cross sections of all processess are calculated as a function of the incident energies. The agreement with experiments is improved by the modified distributions.

但由于靶电子的微正则分布与量子分布有很大不同，在计算离子与He靶碰撞时发现结果与实验差距很大，我们基于使用多个系统总能量U值，对初始电子的微正则分布进行了优化，使其更接近于量子力学的径向空间分布，然后计算了O~(3+)与氦原子随入射离子能量变化的各种反应过程截面，发现优化极大地提高了计算精度，特别是我们的模型对于描述单电子、双电子丢失过程非常成功。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。