极限分布

In view of continuous function problems, it is first proved that the-ES algorithm based on uniform distribution converges in probability in a weaker condition by means of the central limit theorem. Then it is proved that the-ES algorithm which adopts the general continuous random variables as its variable operators converges in probability.

针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的-ES算法依概率收效，然后给出了采用一般连续性随机变量作为变异算子的-ES算法依概率收效的证明。

In view of continuous function problems,it is first proved that the-ES algorithm based on uniform distribution converges in probability in a weaker condition by means of the central limit theorem.Then it is proved that the-ES algorithm which adopts the general continuous random variables as its variable operators converges in probability.

针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的-ES算法依概率收敛，然后给出了采用一般连续性随机变量作为变异算子的-ES算法依概率收敛的证明。

Chapter 5 concerns the number of limit cycles for a cubic Hamiltonian system under cubic perturbation.

第五章给出了只关于一个轴对称的三次哈密顿系统的分类，研究了三次哈密顿系统在三次扰动下的极限环的个数与分布。

Chapter 4 investigates the number and distributions of limit cycles for a class of Kukles system, which also can be regarded as a class of reduced Kukles system under cubic perturbation.

第四章研究了一类Kukles系统的极限环的个数与分布，这里我们把所研究系统看作是三次扰动下的退化的Kukles系统。

The key factors to effect the curve resolution ability were studied and the limit of curve resolution ability in theory was determined.

通过线性空间中的几何模型，确定了影响体系组分分辨能力的关键因素，结合噪声分布提出了组分分辨能力的理论极限。

Because the kinematically-admissble cyclic strain rate field required in kninematical-type theorem of shakedown analysis is rather difficult to be constructed, shakedown analysis based on kinematcal theorem cannot be directly applied.

在竖向载荷与水平载荷共同作用下，研究了地基土体的强度特性与土层分布特征对地基承载力的彤响，对地基的极限载荷与安定戳荷进行了比较分析，为全面、综合地评价非均质地基的稳定性提供了有益的参考。

Based on the characteristics of stress distribution in high-pressure cylinder ,the formula of calculating the maximal equivalent stress is educed according to the fourth strength theory and the quantitative relationship between cylinder's inside pressure and diametrical ratio and the fatigue limit were founded.

基于高压缸的应力分布特点，由第四强度理论推导出了高压缸最大应力的当量应力的计算公式，建立了缸筒内压与缸筒径比及持久极限的量化关系。

The lowest loss mode fields and the far field divergency angles of output beams of the UPCUR are calculated by use of Prony method. The relations between the mode discriminability, far field divergency angles and the parameters of the resonator are analyzed. And the theoretical results show that the output beams with diffraction limit quality can be obtained by using the UPUR with small magnification (M=1. 3), which is much better than the traditional unstable resonator under the same conditions.

采用Prony方法计算均匀相位输出耦合镜非稳腔的输出模场分布及远场方向性，分析了模式分辨率和光束远场发散角与系统各参数之间的关系，理论计算得到的结果表明，采用均匀相位输出耦合镜非稳腔，可以在小放大倍率(M=1.3)情况下得到质量达到衍射极限的输出光束，远远好于同等条件下的常规非稳腔，因此这种新型的谐振腔适用于在工业用千瓦级氧碘化学激光器。

Technical analysis; AR-ARCH model; covariance inequality; Strong law of large numbers; Glivenko-Cantelli Lemma ; empirical distribution function; central limit theorem; dependence coefficients

基础科学，数学，概率论、数理统计技术分析； AR-ARCH模型；协方差不等式；强大数定律； Glivenko-Cantelli引理；经验分布函数；中心极限定理；相依系数

Under the situation of even distribution of fitting nodes,a mathematic model is established by means of the relation between the number of fitting nodes and the limit error of measurement.

建立了采样点均匀分布情况下，圆度误差测量采样点数量与测量极限误差之间的定量关系数学模型。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。