拓扑结构

Utilizing these formulae, a new reanalysis method for topological modifications of static structures were presented.

利用该公式提出了一种轴对称结构拓扑修改的重分析新方法。

This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere.

Combinations of Complex Dynamical Systems|复杂的动态系统的结合復雑なダイナミカルシステムの結合这工作那个目标是发展一一般结合，分解，和结构理论分开包括二领域给它自己的一研究水平专题著作，认为是组合和在Riemann 领域上在一定holomorphic动态系统的分类过程中出现的拓扑对象。

Its main goal is to explore information relating to the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other important problems such as the Novikov conjecture, the Baum-Connes conjucture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature and so on.

其主要目标是通过几何空间（如非紧完备黎曼流形、有限生成群等）大尺度几何结构的信息，建立几何空间的几何、拓扑与分析之间的联系，并应用于解决其他重要问题，如Novikov猜测、Baum-Connes猜测， Gromov-Lawson-Rosenberg正标量曲率猜测等。

Its main goal is to explore information in the K-theory groups of the index C*-algebras, the Roe algebras C*, by using the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other relating problems, say, the Novikov conjecture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature, the idempotent problem in the theory of C*-algebras.

粗几何上的指标理论是"非交换几何"领域九十年代以来发展起来的重要研究方向，它孕育于非紧流形上的指标理论，其主要目标是通过几何空间（如非紧完备黎曼流形、有限生成群等）的大尺度几何结构探索指标代数，即 Roe代数，的K-理论群的信息，从而建立几何空间的几何、拓扑与分析之间的联系，并应用于解决其他重要问题，如Novikov猜测、Gromov-Lawson-Rosenberg正标量曲率猜测、群C*-代数幂等元问题等。

Based on the above studies, a level set algorithm 4.1 for topology optimization with general objective functions, multi-constraints, multi-materials and multi-load cases is proposed.

在优化过程中，这种方法依靠材料界面运动不断地融合、分裂、生成和消除内部的孔，来改变结构中材料界面的拓扑和形状，获得最优解。

Based on the similarity principle and nonlinear finite element method, reposition balance method was put forward to find the prestress.

基于相似原理结合非线性有限元法提出了膜结构找力分析的复位平衡法，根据形面的拓扑关系对复位平衡法进行了优化。

In this thesis, the methods for solving eigenvalue problems and conventional reanalysis methods are studied firstly. Then, a new reanalysis method for real modal reanalysis of structures subjected to topological modification with added degrees of freedom is presented. This method is composed of the single step perturbation method and the Rayleigh-quotient iteration. The numerical examples show that this reanalysis method is very effective and high-quality.

本文首先在对常规的特征值数值求解方法和重分析方法研究的基础上，针对实模态的自由度增加的结构拓扑修改重分析，提出了一种新方法，该方法由于结合了单步摄动法和瑞利商逆迭代法两者的优点，应当是一种比较理想的重分析方法，算例的数值结果也有力的验证了该方法确实是一种高精度、十分有效的实模态重分析方法。

According to the basic theory of Shanon's informational entropy, the Internet structure entropy and Internet standard structure entropy were computed using the Internet data provided by CAIDA skitter project.

针对Internet路由级拓扑所呈现出的高度有序的问题，根据香农信息熵的基本原理，并利用CAIDA提供的数据，计算了Internet网络结构熵和标准结构熵。

The structure of the slider was also refined during the optimization to meet the requirement of practical application.

同时，在拓扑优化的过程中对滑块的结构进行了一定的限制，以满足实际使用的要求。

This is a topological sorting example, the data structure of the students will have a great help!

这是一个拓扑排序的例子，对学数据结构的同学有很大帮助！

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