比较定理

The equivalent solid sphere have same radius of the original coating shell, using reciprocity theorem, the effective conductivity of composite were obtained, it compare agree with effective medium approximation.

利用倒易定理，其结果与有效介质近似进行比较发现两者基本一

Range gates and the Chinese remainder theorem are usually used to resolve ambiguities of multiple targets.This system is complex in hardware structure,and a small range error on single PRF can cause a large error in the resolved range.

硬件距离门与中国的余数定理是常用的多目标模糊分辨算法，但这种处理系统硬件比较复杂，并且在单一PRF上较小的距离误差也可能导致很大的测距偏差。

In the chapter three, by using the comparison principle and frequency domain method of the discrete systems with time-delay, combining Rouche Theorem, sufficient criterions for the stabilization of the neutral type discrete control systems with multiple time-delay and the neutral type interval coefficient discrete control systems with multiple time-delay are obtained by choosing appropriate feedback controller.

在第三章，利用时滞离散系统的比较原理与时域法，结合复变函数理论中的路歇定理，通过选取适当的反馈控制律，得到了多组时滞中立型线性定常离散控制系统和多组时滞中立型区间系数线性定常离散控制系统的无条件镇定的充分性准则。

In additional, we connect with semiorder to get a series existence theorems of multiple fixed points about quasimonotone increasing operator.

此外，我们还与半序结合，得到了一系列拟单调增算子的多个不动点的存在定理。这一章与第一章的联系比较密切。

Then the propagation of an arbitrary nonideal optical beam is analyzed. In terms of the moment theorem, the performance of modes of BOR is analyzed from both points of view of geometry optics and diffractive optics. Comparing BOR with the resonators using plane mirror and spherical mirror or using plane mirror and aspherical mirror by finite element method, the design procedure for BOR is gave.

然后以衍射的角谱理论为基础，用矩量定理讨论了任意光束的传播规律，从几何光学和衍射光学的角度完整地分析了二元光学谐振腔的模式特征，用有限元方法数值对二元光学谐振腔、非球面腔和球面腔进行衍射分析，比较了三种腔型的差异，给出了二元光学谐振腔的设计方法。

Our results show that the rate of correlation among the random variables of those output sequences are low although they are not independent; in addition, the output sequences of those combined generators are homogeneous Markov chains which are strictly stationary processes with ergodicity; the output sequences of those combined generators are also proved to summit to the strong law of large numbers and the central limit theorem; finally the computation formula of the rate of the accordance between the output sequences and input sequences of those combined generators is given.

我们的研究结论表明：虽然这些序列中随机变量之间不具有相互独立性，但它们的相关程度却比较低；证明了"停走"生成器，KM_1M_2型组合生成器和加法型组合生成器的概率模型输出序列都是强平稳的和遍历的齐次马氏链；讨论了这些序列的概率极限性质，证明了它们均服从强大数定律和中心极限定理；还分别给出了各类生成器的输出序列与输入序列之间的符合率的计算公式。

After summarizing the waveform relaxation methods and domain decomposition, we finish some research on optimal Schwarz waveform relaxation algorithm as follows: In the first part, we apply Schwarz waveform relaxation methods on telegraph equation system to get optimal transmission conditions to speed up the algorithm.

在对波形松弛算法以及区域分解进行了综述性介绍后，本文对Schwarz波形松弛迭代算法具体进行了以下研究：首先，本文将在电报方程系统上应用Schwarz波形松弛迭代算法，通过强制加入新的局部传输条件分别给出了两种加速算法并通过定理保证了其优化后的收敛性，进而得到优化Schwarz波形松弛算法，然后通过数值试验对传统Schwarz波形松弛算法与优化Schwarz波形松弛算法进行了比较，研究了收敛率与优化系数的关系，找到了使算法最优的系数取值；最后得出优化后的Schwarz波形松弛算法优于常规Schwarz波形松弛算法的结论。

In this section, applying the method, from abstract to specific and from history to present, it analyzes the operation mechanism of urbanization economy affected by market mechanism; puts forward four theories of urbanization economy from economic perspective, including agriculture surplus and comparison advantage; non-agricultural industry; agglomeration economy and spillover effect, on this basis of the theories, it, on one hand, analyzes two kinds of internal mechanism in the chronologic operation of urbanization economies: increasing mechanism of urbanization economies in urban output industry; and changing mechanism from specialization to integration, which are the representations of the evolution of "mart" development; on the other hand, it analyzes two internal mechanism of dimensional operation of urbanization economy: internal spatial enlargement mechanism of urbanization economies from monocentric city to multi-center city, and external spatial enhancement mechanism which represents city-regionalization and city-chain connection, the later two mechanism represent the evolution of "polis" development.

这一部分，按照由抽象到具体和由历史到现代的研究方法，分析了市场机制作用下的城市化经济运行机理，从经济学角度提出了农业剩余与比较优势、非农产业、聚集经济、外溢效应四大城市化经济定理；在此基础上，一方面分析了城市化经济运行沿时间增长的两个内在内容提要机制：城市输出产业的城市化经济增长机制和从专业化到综合化的城市性质变迁机制，它们主要表现为&市&发展的延续；另一方面分析了城市化经济运行沿空间增长的两个内在机制：从单中心到多中心的城市化经济运行的内部空间扩展机理和表现为城市区域化、城市连绵体的城市化经济运行的外部空间扩展机理，它们主要表现为&城&发展的延续。

Secondly, by using the Sobolev inequality on the C-C spaces we prove a Fefferman-Phong type lemma. Based on which we provide nonexistence theorems to three kinds of nonlinear subelliptic parabolic equations through a relatively unified method.

其次，利用Carnot-Caratheodory空间上的Sobolev不等式证明了一个Fefferman-Phong型引理，并用比较统一的方法证明了三类非线性次椭圆抛物方程解的不存在性判定定理。

This paper gives a presentation of the 3－ D limit analysis method developed on the basis of the plasticity mechanics upper limit theorem for slope stability analysis, and of the stability safety factor of the Xiaowan arch abutment calculated using this method which could give stability analysis results conforming to the actual conditions.

本文首先介绍了一个建立在塑性力学上限定理基础上的边坡稳定分析三维极限分析方法，并使用这一方法计算小湾拱座的稳定安全系数，获得比较符合实际的稳定分析成果。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。