连通和

Therefore,the complicated problem is simplified into asolving procedure of a group of infinite dimensional algebra equations.In thefact,not only is a general solution of the problem obtained,but also a method tocompute the dynamic thermal stress distribution at the surface of the cavity afterthe definition of the coefficient of the dynamic thermal stress distribution isgiven.

事实上，不但得到了单连通区域或复连通区域型二维孔洞表面的动态热应力分布问题的一个一般的解析解，而且，在定义了非耦合和耦合无量纲化动态热应力分布系数后，推导出计算单连通区域或复连通区域型二维孔洞表面的动态热应力分布的方法。

By using a perfect data structure, automatic generation of triangle mesh on multi-connected plane domain becomes as simple as simply connected plane domain first time without virtual line and other technical.

本文采用合理的数据组织结构，首次在不添加辅助线和不增加编程难度的前提下，使多连通域的剖分和单连通域的剖分有机地结合到一起，简单自然地解决了多连通域的三角剖分问题。

Firstly, we recall some notions and results about space theory, including Hausdorff space, Hausdorff distance between sets , Baires category about sets and convex set. Secondly, the semi-continuity, closure, compactness of set-valued maps are introduced in set-valued analysis. Finally, essential point, essential set and essential component are introduced.

其中，空间理论及凸集的基本知识介绍了Hausdorff空间、集合间的Hausdorff距离、集合的Baire分类、以及凸集等四个方面；集值分析部分主要介绍单值映射的半连续性以及集值映射的半连续性、闭性和紧性；本质点、本质集和本质连通区部分主要介绍了本质点、本质集和本质连通区等有关概念和性质。

Let G be a connected graph of order n whose algebraic connectivity, vertex connectivity, and edge connectivity are α,κ, and λ, respectively.

n阶连通图G的代数连通度、点连通度和边连通度分别记作α，κ和λ。

Utilizequadratic form and Perron value of bottleneck matrices, we study how the algebraic connectivityof a weighted tree changes under shifting its branches and changing its edge s weights and obtainmore entire information about algebrai.

利用代数连通度的二次型形式和瓶颈矩阵的Perron值，我们研究了当迁移或改变分支和变动一些边的权重时树的代数连通度的变化，得到了比过去更多的关于赋权树的代数连通度的结论。

In fact, on one hand, it is often found that two graphs with the same number of verticesand the same connectivity(edge-connectivity) may result in entirely different forms after a minimum disconnecting set of vertices is removed, one may be totally disconnected while the other may consist of a few very stable components, and thus be much easier to reconstruct.On the other hand, we often face this question: how easily can we disrupt a system at the least cost, on the contrary, when we set up a system, especially a communication system, we try our best to make it as stable as possible that it can be reconstructed easily if it do get disrupted .

对于两个具有相同点数，具有相同点连通度的图，从图中分别去掉使图不连通的点集后，所得图的结构可能完全不同，这是因为点连通度、边连通度和局部点、边连通度等连通性参数仅反映了系统被破坏的难易程度，而对系统遭受破坏的程度并没有明确的反映。

The formatted method of rectangle NAM image representation reconstructed the ubiety of sub-pattern instance with five queues. It made connectivity operation between sub-pattern instances easier.

在对连通关系进行分类的基础上研究了子模式实例连通关系判断、连通关系搜索和连通关系遍历等基础操作，给出了各算法的时间复杂度分析。

Connectedness and δ—connected component are denned. Some properties and equivalent conditions about δ—connected axe given. It is respectively discussed that δ—connected L—topological spaces are abroader than connected L—topological spaces.

定义了L-拓扑空间的δ-连通性和δ-连通分支的概念，讨论了它们的一些性质，给出δ-连通的一些等价刻画，证明了δ-连通L-拓扑空间是比连通L-拓扑空间更广泛的一类空间。

After basic theory and definings of Voronoi diagram and also parameterized bisectors have been analyzed,two main algorithms of simple-connected at present have been compared;adjust the algorithm of initialization and data construct so as to obtain the algorithm could used in practice; extand the idea of wavefront-propagation algorithm to computing multi-connected voronoi diagram.

通过对Voronoi图的基本理论、定义和参数化平分线公式的分析，以及对两种主要单连通域Voronoi图算法的比较，作者改进了初始化算法和数据结构，得到便于工程应用的单连通域Voronoi算法，并将波阵面传播的思想扩展应用到多连通域的Voronoi图计算，形成新的多连通域问题算法。

The seismic disasters features and behavior mechanisms of the buriedwater supply pipeline are analyzed by synthesis and the breakage of thepipe joints caused by seismic wave propagation as main disasters mode isled into. The soil-pipe interaction, and the soil-pipe slippage arediscussed. Statistical experience method resulted from earthquakeinvestigations and theoretical methods based on reliability theory areintroduced. The reliability of buried pipeline is researched. The methodfor estimate connective reliability of network by means of Monte Carlesimulation technique and Breadth First Search method is introduced. Theconnective reliability of water supply pipe network is researched.

本文综合分析了地下供水管道的地震破坏特征和反应机理，引入了以接头破坏作为主要的破坏模式，并探讨了管土间的相互作用和滑移作用等问题；介绍了根据震害调查数据回归的统计经验法和基于可靠性理论的理论分析法，对地下管道的可靠性进行了研究；介绍了利用蒙特卡罗法和网络图论中的广度优先搜索法判定网络连通可靠度的方法，对供水管网的连通可靠性进行了研究；考虑到震害预测方法中的许多参数是随时间变化的，应用灰色理论和概率论，建立了基于GIS 的供水管网动态震害预测模型。

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