紧性

Then we obtain the existence and nonexistence of the solutions for complex Monge-Ampere equation and Hessian equations with infinite boundary value in the certain bounded domain in Cn.

第三章我们先介绍郑绍远与丘成桐在研究非紧复流行上的复Kahler度量的存在性时的主要工作，然后通过构造径向闸函数的方法来讨论凸域上的复Monge-Ampere方程以及复Hessian方程边界爆破问题解的存在性。

We obtain the necessary and sufficient conditions for the commutativity of k~-order slant Toeplitz operators and the compactness of products of such operators, in particular, the commutativity and the essential commutativity of such operators are in accord.

第二章研究了L~2上的k阶斜Toeplitz算子的性质、得到了两个k阶斜Toeplitz算子可交换的充要条件及其乘积和换位子是紧算子的充要条件，特别地，给出了两个k阶斜Toeplitz算子的交换性与本性交换性是一致的。

Part or all of the mesh can be eliminated by using the compact support, the orthogonality and other properties of the wavelet function and the meshless algorithm to enhance the computing capability and reduce the error.

利用小波函数的紧支性、正交性等性质及无网格算法可以部分或全部消除网格而具有提高计算能力且减少误差的优点。

It takesthe weighted average of the L2 norm of the difference of the observation and thesolution of the system and the L2 norm of the difference of conormal derivativeat the different sides of the interface for every subdomain as cost functional andthe smooth coefficients of the subproblem and the value of solution of the originalproblem at interface as identification parameters;Using the property of continu-ous functional defined on compact set,the existence of the optimal solution of theidentification problem is proved;The necessary conditions of optimality charac-terized by the system equation,the adjoit equation and the variational inequalitysimultaneously are given by introducing the conception ofdifferential andadjoit variable;An algorithm is devised and its flow graph is given.

其次，针对分片光滑动力系统的特征，结合正演过程的区域分解算法，建立了分片光滑系统的分解区域参数辨识模型，该模型以子区域上解的实测值与计算值之差的L2范数和界面两侧的通量差的L2范数的加权平均作目标泛函，各子问题的光滑系数及界面上真解的值为待辨识参量；利用紧致集上连续泛函的性质，证明了子区域上参数辨识问题最优辨识参量的存在性；引入微分的概念，借助伴随变量，给出了由系统方程，伴随方程和变分不等式共同表征的最优性必要条件；根据此必要条件设计了算法，给出了算法的程序框图。

A number of properties of countable topological space were given systematically, such as its countability, separability, compactness and connectedness, including their proofs on the basis of the nature of topological space, real number space and corresponding theorems.

摘要在可数补拓扑空间的拓扑性质的研究基础上，系统的给出了可数补拓扑空间的可数性，分离性，紧致性，连通性等性质，并给予证明。

In addition ,the thesis deals with amount of components devices and calculations ,including :(1) Choice of the main shaft and disposal of transmission , by doing so to ensure the accuracy of components machining in process when the main shaft rotating;(2)The device and check of the transmission shaft ,so it can assure the rigidity of the shaft is allowable ;(3) Gear device and calculations ,check the performance in the strength and rigidity of it ;headstock is a very important part in this thesis ,the design of it here not only ensures the rationality 、equipoise and stability of the motion of the slipway ,but also satisfies the requirements of different work environment .

液压装置的设计液压滑台、定位夹紧装置均为液压控制。并采用了许多液压控制阀，保证了运动的平衡性，循环性和精确性。另外，本文还涉及到大量的设计和计算，包括：（1）、主轴的选择和传动布置，以保证加工过程中被加工零件的精度；（2）、传动轴的设计和校核，以保证轴的刚度；（3）、齿轮的设计、计算，对齿轮的强度和刚度进行校核；多轴箱部分是本次设计的重要环节，本次设计中它的设计既要保证工作台的运动的合理、平衡和准确，又要满足工作要求。

And obtain an analogy result of Kazdan and Warner's, and then we use our theorem to study the vortex equation in Holomorphic line bundle over non-Kahler complex manifolds.

在第三部分我们考虑了一类Kazdan-Warner型的方程，并且证明了一个存在性的定理，借助于这一结果我们给出了一般的紧复流形M上的全纯线丛上的vortex方程解的存在性的一个充分性条件，或许这一考虑有其它方面的作用的。

First of all, the basis of the MRTD method is studied. In Chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. The advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. In Chapter 3, the algorithm basis of MRTD: the combination of the wavelets and the method of moments is studied. This Chapter shows that the MoM based MRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

5As for creep of the marine soft soil, the micro-mechanism of one-dimension creep is proposed: Under slight load, the initial bone strength and rank will be destroyed, while, as the time advances, deformation increases, void ratio decreases and inner particles move, bonding among particles become tight and the structure changes, and then the restitute of the old structural damage exceeds the new one. Consequently, creep will trend towards decelerate steady state ultimately.

揭示了软土一维蠕变的微观机理：当土样受荷较小时，尽管土样初始结构要受到影响，某些颗粒连结强度、胶结性、定向排列性遭到破坏，但随着时间的增长，变形增大，孔隙比减小，土体内部颗粒发生位移，使得某些颗粒结构间的联结更紧，胶结因而逐渐恢复，定向排列性亦略有回升，从而使得结构缺陷的愈合超过胶结的破坏和新缺陷的形成，蠕变最后趋于减速稳定状态。

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。