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Based on data cloud, which is measured from 3-coordinate measuring machine or so, an algorithm to search lopological structure from 3D unorganized points using Envelopment-box technology is proposed in this thesis. Based on this method, we searching neighbor points of sampling point. We also improve the Max-Min angle criteria to realize local triangulation, and then get the normal of sampling point from the triangulation. Using the normal and neighbor relationship, classification of scattered data points is realized according to the quadric surface.

本文以测量得到的曲面数据点点云为基础，提出了一种基于包围盒的自动寻找三维散乱数据点之间拓扑结构的方法，采用该方法寻找采样点的邻域结点，并对三角剖分中的典型优化准则—最小内角最大准则提出了改进，按照改进后的优化准则实现了采样点的局部三角划分，并进一步求解得到采样点的法向量，依据法向量及邻域拓扑关系在二次曲面的基础上实现了散乱数据曲面重构中的数据点的自动分类。

This paper proposes a reciprocal capacity based adaptive topology protocol for P2P networks, which takes account of the peer's rational belief of maintaining connections.

充分考虑了节点构造拓扑的理性，提出了基于节点互惠能力的自适应P2P拓扑构造协议。

To get the low dimensional data with regular structure,the measure of the regularity is constructed and then the dimension reduction is brought forward.

为了寻求具有规则拓扑结构的低维数据集，构造了数据结构规则性的度量，提出了保持数据集拓扑结构不变的降维方法。

Relative to conventional cascade topology, the new topology needs fewer switching devices when producing the same number of output levels, which simplifies circuit.

相对于传统的级联多电平拓扑，在得到相同输出电平的情况下，该拓扑需要较少的开关器件，因此可以简化电路结构。

On the other hand , illuminated by close relation between harmonic maps and sumanifold theory, we have also researched in-depth about some relative problems in submanifolds theory which include: the estimate of heat kernel and eigenvalue and it geometric application of submanifolds with or without boundary; many kinds of pinching problem of submanifolds which include the rigidity theorem, topological sphere theorem, differential sphere theorem and topological finite theorem.

另外，鉴于调和映照与子流形之间的密切关系，我们还要深入研究子流形几何中与之相关的一些问题，主要包括：带边与不带边子流形的热核与特征值估计及其几何应用；子流形的刚性定理、拓扑球定理、微分球面定理、拓扑有限性定理等各类Pinching问题。

The topological bodies were introduced to express the topological relationships between complicated objects based on the point set topology.

5基于点集拓扑学理论，引入了拓扑体来描述矿山复杂对象间的拓扑关系。

In the paper the separate theorem of convex set with weak topology σ(L ∞,L 1) is proved, and the topological characterization about No Free Lunch with Vanishing Risk Condition is given, from it, the equivalency between exist of equivalent martingale measures and NFLVR is proved, this is the first fundamental theorem of asset pricing.

资产定价的第一基本定理是数量金融学中核心的定理之一，本文证明了在 L∞的弱*拓扑σ(L∞，L1)中的凸集分离定理，并在此定理的基础上给出了没有无风险免费午餐的拓扑描述，证明了市场公平性与没有无风险免费午餐条件的等价性，从而重新证明了资产定价的第一基本定理。

The SIMP method was introduced to the deployable structure optimization.

将拓扑优化中的SIMP法引入到可展机构的优化设计中，对可展机构进行了拓扑优化研究。

Finally, the AF algorithm is verified via the IP level topologies from the Internet covering China, Japan, and Korea, which were discovered by Skitter of CAIDA. The results prove that the algorithm of AF could reduce IP addresses of alias resolution and improve the efficiency of router level topology discovery greatly.

最后用CAIDA项目中的中日韩3国因特网IP级拓扑数据对别名过滤算法进行了验证分析，结果表明别名过滤算法能够有效减少别名解析的数量，提高路由器级拓扑发现的效率。

She can see me and will move out of the way when I pounce, letting me smash into floors and walls.

我扑她的时候她能躲开，害我灰头土脸扑到地板或者墙上。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。