正则分布

In the spatial domain,canonical projection of the Wigner distribution function of the associated pupil function to show the insensitivity of the point spread function to the defocus-related aberrations is mainly used,and in the frequency domain,it is shown that the optical transfer function of such a system is also insens.

空域中，主要利用维格纳分布函数的正则投影来分析系统的点扩展函数对离焦像差的变化不敏感特性；频域中，则利用考纽螺线的图解方法来分析系统的光学传递函数对离焦像差的变化不敏感特性。

In the spatial domain, canonical projection of the Wigner distribution function of the associated pupil function to show the insensitivity of the system's point spread function to the defocus-related aberrations is mainly used, and in the frequency domain, it is shown that the optical transfer function of such a system is also insensitive to misfocus through a geometrical description of the so-called Cornu spiral.

空域中，主要利用维格纳分布函数的正则投影来分析系统的点扩展函数对离焦像差的变化不敏感特性；频域中，则利用考纽螺线的图解方法来分析系统的光学传递函数对离焦像差的变化不敏感特性。

In chapter five, let {Xt,i 1} be ρ-mixing sequences with identical distributions, which belong to domain of normal attraction with non-generational and stable distribution. With probability one, we have limsup a.s.

第五章，设｛X_n，n≥1｝是同分布ρ-混合序列，其分布属于特征指数为α(0＜α＜2)的非退化稳定分布的正则吸引场，证明了依概率1有

In chapter five, let {Xt,i 1} be ρ-mixing sequences with identical distributions, which belong to domain of normal attraction with non-generational and stable distribution. With probability one, we havelimsup a.s.

第五章，设｛X_n，n≥1｝是同分布ρ-混合序列，其分布属于特征指数为α(0＜α＜2)的非退化稳定分布的正则吸引场，证明了依概率1有

This case are same to light, moderate arid severe erosion type, which turn out to be a curve similar to Gaussian distribution, but soil erosion types at the two sides of the curve are totally different, in the left side of the curve, soil erosion are dominated by moderate and severe erosion type, arid in the right side of the curve, mainly soil erosion type is light erosion.

这种情况对于轻度、中度及强度土壤侵蚀的影响是类似的，都呈类正态分布的曲线形式，但在曲线的两侧土壤侵蚀类型是有本质区别的，在曲线的左侧土壤侵蚀类型的分布是中度和强度为主，而在曲线右侧则以轻度为主。

According to the result, the confidence region of unknown parameters in single-index models is constructed. Finally, we consider the test of correlation and heterogeneity for hierarchical nonlinear mixed-effects models. According to Laplace approximation expansion of integrated log-quasilikelihood, a class of score test statistics is proposed. Under some very mild conditions, we prove the asymptotic distribution of the test statistics is a standard X~2-distribution. Through a Monte Carlo simulation study, the finite sample performance is examined.

最后，我们研究的第四个问题是分层非线性随机混合效应模型的相关性与异方差性检验问题，依据对数拟积分似然的Laplace近似展开提出了检验统计量，在一些正则条件下，得到了检验统计量的渐近分布是一个标准的χ~2-(来源：d7d7A65BC论文网www.abclunwen.com)分布，通过Monte Carlo模拟研究了其小样本的表现，实例验证了其实际应用。

From the zero dynamics algorithm the norm form for general nolinear control systems is presented, which is extension of the affine nonlinear systems.

摘要研究了一般非线性系统的零动态算法，得到了应用广泛的正则标准形，只需对系统做较弱的正则性假设，即平衡点附近某些分布是非奇异的。

Temperature and the Zeroth Law of Thermodynamics, Simple Thermodynamic System, Work, Heat and First Law of Thermodynamics, Kinetic Theory of the Ideal Gases, The Second Law of Thermodynamics, The Carnot Cycle and the Thermodynamic Temperature, Entropy, Phase Diagram of a Pure Substances, First-Order and Second-Order Phase Transitions, Introduction to Statistical Mechanics (including Partition for Canonical Ensemble, M-B 、 F-D 、 B-E distributions), Thermal Properties of Solids.

热物理 ( S0437)(3，0)/热力学( S0434)(3，0)温度及热力学第零定律，简单热力学系统，功，热及热力学第一定律，理想气体动力论，热力学第二定律，卡诺循环与热力学温标，熵，纯物质的相图，一阶与二阶相变，统计力学简介(包括：正则系综的配分函数，马克斯威尔-玻兹曼分布，费米-狄拉克分布，玻色-爱因斯坦分布等)，固体的热性质。

For exponential distribution, the acquired estimate expression is the same as the result obtained by other method in reference [8]; for Weibull distribution, the author prove that γ satisfies a non-linear equation and λ is afunction of y; for lognormal distribution, a iterative algorithm for parameter estimation is proposed, which is the expansion of some results in Wolynetzs Ph.D. thesis.

对指数分布，得到的估计表达式与文献[8]中使用其他方法得到的结果相同；对Weibull分布，论文证明了参数γ满足一个非线性方程，而λ则可以直接由含有γ的表达式求出；对对数正态分布，论文给出参数估计的迭代算法，这可以看成是Wolynetz博士论文结果的推广。

Assume that individuals with the same major gene genotype in a segregating generation are normally distributed due to the variations of polygenes and environment, and individuals with different major gene genotypes follow a mixture of normals with different means and the same variance.

假定分离世代中的同一主基因基因型因多基因和环境的变异而呈正态分布，不同主基因基因型则为具不同平均数和相同方差的混合正态分布。

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。