边界点

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。

First of all, we study the exhaustion of the Bergman kernel, i.e., the kernel at any boundary sequence is unbounded.

第一部分，我们研究Bergman核的穷竭性，即，核在任意趋向于边界的点序列上无界。

First of all,we study the exhaustion of the Bergman kernel,i.e.,the kernel atany boundary sequence is unbounded.

第一部分，我们研究Bergman核的穷竭性，即，核在任意趋向于边界的点序列上无界。

Besides,we also draw and describe some other problems in theexisting frame:such as the relation between Schmidt decomposition and localunitary transformation,the vector expression of pure state density matrix,traitsof certain points locating near the boundary of disentangled region.

另外，对于其它一些不甚重要的问题，如Schmidt分解与定域酉变换的联系，纯态密度矩阵的向量表示的特点，非纠缠态区域边界上的点的某些特性等等，我们一并在现有的框架中给出描述。

The weak formulation permit is satisfied not point by point, finite element method balances only at node neighborhood, in unit balance is not required, in analytical method single check from infinite series does not satisfy the equation, but infinite number of points satisfy the equation, and then the weak formulation of dual system of Hamilton equations was educed.

基于基本方程和边界条件的弱形式，给出相应的广义变分和不同形式的有限元所采用的弱条件，说明弱形式允许不是逐点满足，有限元法只在节点邻域平衡，在单元内不要求平衡，解析法用无穷级数中单取一项也不满足方程，也是无穷多项在积分下满足，进而导出对偶体系弱形式哈密尔顿方程。

It analyses the characterization of typical type curve and the influential factor of well-test curve ,which includes non-dimensional offsetting, non-dimensional length of horizontal welk equivalency pressure point, interporosity flow coefficient, storativity ratio and the boundary condition.

分析了双重介质水平井典型曲线特征以及影响水平井试井曲线特征的因素，得到了其影响因素主要有无因次偏心距、无因次水平井长度、等价压力点、储能系数、窜流系数以及油藏的边界条件。

The results show that: On the condition of this paper (1) The initial collision between two continents would cause the tectonic average stress near the collisional point to increase by 5-9 times as compared with regional stress field.

集中程度受碰撞方式、接触面积等因素影响。在本项目采用的模拟条件下，大陆碰撞初期产生的构造平均压力在碰撞点附近，相对于边界压力增大了5～9倍。

A slot canyon scores the Arizona desert, just one of many dotting the state's border with Utah.

一个槽峡谷获得亚利桑那州的沙漠，只是其中的许多园点州的边界与犹他州。

There are six forming methods throughcombining three different types of elements, among them, thereare four forming methods which have emblematize andpracticability: multi-point die forming、half multi-point die forming、multi-point alternating forming、half multi-point alternating forming.

对有限元模型建立及数值模拟关键算法和参数的研究在进行薄板类件多点成形的有限元分析中，涉及两类边界条件，一类是载荷，另一类是运动约束。

Based on Hutchinson niche and Guangxia Cao\'s definition, Fuzzy hypervolume niche evolves the theory of fuzzy niche: the niche is a fuzzy hypervolume; the niche of the species is a hypervolume with fuzzy boundary which is formed by the n-dimensional resources (time, space, temperature, humid, trophic,...) necessary for the species\' continuous existing and multiplying; membership of a point in the niche is equivalent to the adaptive degree of the species to the point of the environmental resources.

在Hutchinson生态位和Guangxia Cao的定义的基础上，模糊超体积生态位发展了模糊生态位理论：物种的生态位是可以使物种生存和不断繁殖的n维环境变量(时间、空间、温度、湿度、营养……)所形成的边界模糊的一个n维超体积；隶属函数表明n维资源空间的一个点x属于生态位的程度，也表明物种对环境资源的适应程度。

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