引理

For the aforesaid reasons, in the second chapter ,this article estimates some parameters in the two-parameters Weibull distribution by the hybrid ALT method,and gives the inverse moment estimator for the shape parameter,at the same time the confidence interval of the accelerated coefficient is given .

基本研究问题：设应力水平V下产品的寿命服从两参数威布尔分布，则在混合应力加速寿命试验下产品寿命T的分布函数为：记T/t_0=X则X的分布函数为其中令λ=θ~m由上式得λ的极大似然估计又由(2.2.1)式知，是来自均值为λ的指数分布的次序统计量记则有又由引理2.2.1，若又、r，长，乞=1，2，…，n，则有(1)2 。。

In chapter 5,we persue the ctiticality and complexity of thecritical sets.We describe carefully the Whitney's example in 1935.Meantime,we introduce some rsults about the critical sets and thecritical value sets,in particular,on W-sets and C-sets.And usingthe Lebesgue density theorem and the Vitali covering lemma weprove a rank zero theorem with Hausdorff measures.Finally wegive some examples to prove our results are sharp in the sense thatthe numbers k,m,n,s,〓,etc.,in the hypothesescan not be improved.

第五章研究临界点集的临界性和复杂性，并详细地描绘了Whit-ney在1935年的例子，同时也介绍了关于临界点集和临界值集的一些结果，尤其是W-集和C-集的一些结果，并利用Lebesgue密度定理和Vitali覆盖引理证明了一个与Hausdorff测度相关的秩零定理，最后举例证明我们的结果在定理的假设中的那些数字如k，m，n，s，a，r+/等不能被改进的情况下是最佳的。

Under the cases of the linear interconnected systems with all its subsystems are one dimension, a theorem to judge the properties of single loop interactions has been given; the study also indicated that the properties of interactions cann't independent of the properties of subsystems in the multi-loop interaction conditions, and a all field root locus method has been proposed to decide the properties of interactions; a interaction stabilizable theorem has been given, and the efficacy of interactions with respect to the interconnected systems has been configured, Some primary results are reported which are induced by using a method of computer aided test to study block interactions, the stationary feedback efficacy of closed loop interactions have been discussed and a stability guess has been proposed.

本文提出互连系统的合作稳定性概念及其原理，给出了互连系统的本原稳定度、稳定中心、回路关连的级数以及关连的性质等基本定义；并在此基础上对线性互连系统进行关连分析，给出了一系列涉及到关连与互连系统稳定性关系的命题、引理、定理及其证明；其中，在子系统都是一维的线性定常互连系统情况，得出了单回路关连性质判断的定理；并指出在多回路关连条件下，关连的性质不能独立于子系统的性质，以及用全域根轨迹法判断关连性质的方法；给出了关连可稳定理，并对关连对互连系统的影响作用进行了分析。本文还用机辅试验的方法研究块阵关连并给出一些初步结果，本中还探讨了回路关连的静态反馈作用并提出一个判稳猜想。

As the basis of the thesis, measure theory and dimension concept including several technical lemmas are presented in the second chapter.

第二章概述了拓扑空间中的测度理论和维数概念，包括一些技术性引理，是全文的基础。

In this paper the convergence of random dirichlet series under identicaldistributed and φ-mixing variables {Xn} satisfy the following|and other suitable conditions are studied and some new results are also given.

本文利用强大数定律和Borel-cantelli引理研究了随机狄里克莱级数为同分布的φ-混合序列，且满足，等条件时的收敛性，得到了一些新的结果。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

Based on Wilson\'s lemma on evenly distributed differences, elementary number theory and fundamental theory of finite field, the finite field construction for strict optimal OOCs is proposed and the basic idea of this construction is investigated. The main steps and flow chart of assistance design by computer are obtained.

3基于Wilson均匀分布差引理、初等数论及有限域的基本理论，提出一种严格最佳光正交码的有限域构造法，对该构造法的基本设计思想进行深入的理论分析，得到该构造法计算机辅助设计的主要步骤及流程。

After that the existence of a nontrival solution for the elliptic system is proved by means of Mountain-Pass Lemma. At last, we present two examples to illustrate that our condition is weaker than Boccardo and De.

Figueiredo(2002)的条件更弱的条件下满足条件，并利用山路引理证明了这类拟线性椭圆型方程组非平凡解的存在性，最后举出两个例子验证了文中所给条件的确比Boccardo和De。

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

This paper mainly studies the following three contents:(1)After stating generalWardrop's network equilibrium principle, we describe a lemma which is the base ofthe definition of the equilibrium.

本文主要探讨了以下三个方面的内容：(1)、在叙述了Wardrop一般网络均衡原理之后，给出了定义一般均衡的一个引理。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新