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In Chapter 2, we recapitulate some fundamental definitions and propositions of topological degrees and some fundamental results about the computation of topological degrees;in Chapter 3, applying relative definitions and propositions of topological degrees, we establish product formulae of topological degrees in product space, in particular, the product formula of fixed point index on product cone, moreover, combining with the fundamental propositions and the computation of fixed point index, we obtain some fixed point theorems on product cone.

为此，在第二章中，我们给出了拓扑度的基本概念和性质以及拓扑度计算方面的基本结果；在第三章中，运用拓扑度的有关知识，我们建立了乘积空间中各类映射的拓扑度的乘积公式，特别是乘积锥上的紧连续映射的不动点指数的乘积公式，进一步，结合不动点指数的基本性质和不动点指数计算方面的基本结果，得到了乘积锥上的若干不动点定理。

Chapter 4 is the simulation of the topology and Chapter 5 introduces the experiment.

第四章和第五章为电路的仿真与实验部分。

And when she buries a Man, that action concernes me: All mankinde is of one Author, and is one volume; when one Man dies, one Chapter is not torne out of the booke, but translated into a better language; and every Chapter must be so translated; God emploies several translators; some peeces are translated by age, some by sicknesse, some by warre, some by justice; but Gods hand is in every translation; and his hand shall binde up all our scattered leaves againe, for that Librarie where every booke shall lie open to one another: As therefore the Bell that rings to a Sermon, calls not upon the Preacher onely, but upon the Congregation to come; so this Bell calls us all: but how much more mee, who am brought so neere the doore by this sicknesse.

当教堂埋葬了一个人，这个行为亦涉及到我：芸芸众生，可看作一卷书籍，其作者只有一个；当一个人死去，代表他的那一章并没有从书中撕去，而是被翻译成一种更好的语言；书中的每一章都会被这样译成更好的语言；上帝雇佣了几个翻译家；有的章节由"年迈"翻译，有的由"疾病"翻译，有的由"战祸"翻译，还有的由"司法"来翻译；不过在所有的译作里都看得见上帝的手；他的手把我们全部散落的书页又重新装订在一起，送回图书馆，那儿，每本书相互敞开，一本挨着一本放好：所以，正如宣布讲道开始的钟声不仅呼唤讲道者开讲，也呼唤信众来听讲一样，这口丧钟呼唤的是我们大家：尤其是呼唤我，呼唤我这个被疾病带到离门口如此之近的人。

Chapter three studies the international trade transmission mechanism of business cycle, firstly it expounds the function of trade for the economy of one country, and secondly it analyzes the process of the transmission mechanism, which is also the theoretical basis of the next chapter.

第三章主要研究了国际贸易对经济周期的传导机制，首先论述了对外贸易对一国经济的作用，然后通过相关的模型分析了国际贸易是如何在国家间来传导经济周期的，这一章也是下一章的理论基础。

In chapter 4, basing theories and methods of scientific visualization, and artificial neural network BP algorithm, we integrate the Visual C++, OpenGL graphics library and Excel VBA technique to develop the program of artificial neural network and to make the BP algorithm visually, this program works can be divided into four parts: Using C language to develop program about BP algorithm; Using Visual C++, develop the GUI Interface, make input parameter visually; Using OpenGL graphic technique to display the training sample point in three dimension; at last using Excel DDE technique display the error graphic tables in Excel system In chapter 5, on the view of engineering application, we establish new method of surface reconstruction basing artificial neural network, develop interface program between module and commercial CAD/CAM system, meantime deeply discuss some key problems, for example, setting up the base plane, using the API technique, cutting and editing surface boundary, and also discuss the more compliant problem: how to intersect surface, at end we finish the work of translation from our surface reconstruction module to commercial CAD/CAM system, then make reverse engineering system basing artificial neural network more useful.

第四章基于科学计算可视化理论，依据人工神经网络BP算法理论模型，综合Visual C++，OpenGL图形库以及Excel VBA等多项软件开发技术，编制了人工神经网络程序，实现了BP算法的可视化映射。具体工作分为四部分：利用C语言实现人工神经网络BP算法；利用VisualC++的GUI技术开发图形用户界面，实现参数设置可视化；利用OpenGL图形技术进行三维映射，显示学习样本及训练样本点；利用微软电子表格DDE动态数据交换技术，在Excel上动态显示学习误差曲线图。第五章从工程应用的角度出发，提出了一种新的基于人工神经网络算法的曲面裁剪重构方法，完成了曲面重建模块与通用CAD/CAM系统的接口设计工作，对其中的若干关键问题进行了深入讨论，例如基平面设定、API技术的应用、边界裁剪等问题，同时，对曲面计算中较为困难的曲面相交问题也进行的专门探讨，最终完成了曲面重建模块向CAD/CAM系统的数据传输工作，使人工神经网络逆向工程系统趋向实用。

Based on scalar quantization of chapter 2,Chapter 4 introduces trellis coded quantization to improve quantization gain.

第四章是在第二章标量量化的基础上引入网格编码量化的方法以进一步提高量化增益。

Three-way data analysis (Chapter 1 to 5 of Part Ⅰ): In terms of the symmetry of trilinear model, several statistical criteria including coupled vectors resolution errors and slice-wise diagonalization error are proposed for statistically plausible resolution of trilinear data. These criteria form the basis for the development of novel trilinear analysis procedures. In Chapter 1 the coupled vectors resolution method is developed for second-order calibration.

三阶数据分析：利用三线性模型的对称性，提出了耦合向量分辨误差与同时对角化误差等多个三线性分辨的统计准则，这些准则为今后发展三线性分辨方法提供了重要依据。

For solving the boundary case of 〓 interpolation subdivision given in forth chapter, we give convergence and smoothing conditions and a C〓 continuous four point interpolation scheme using the curve triple subdivision methods from chapter three.

另外本文在第三章给出了曲线三分法细分算法的收敛和光滑条件，并给出了C〓连续的三分法四点插值算法，它解决了我们第四章给出的〓插值算法在边界上会遇到的问题。

Chapter III: The impact of Whitman's troubadour spirit on modern Chinese poetsThe chapter mainly explores the impact of Whitman on modern Chinese poetry from the spirit of poetics.

本章主要从诗学精神来探讨惠特曼对中国现代新诗的影响。

With the help of work of chapter three, container truck dynamic optimizing combination dispatch system base on WLAN was designed in chapter six.

在对集卡动态优化组合调度系统的实现进行分析研究的基础上，第六章对基于无线网络的集卡动态优化组合调度系统的构成以及功能进行了分析，完成了调度系统的设计，最后结合实例对系统的操作及功能进行了介绍。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。