拓扑结构

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理，利用映射的拓扑可分性，在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理；然后利用W-对应，在H-空间上建立了广义的变分不等式；利用H-KKM映射，在H-空间上建立了广义的KyFan极小极大不等式；最后，利用H-凸性代替拓扑线性结构，在H-空间上建立了一个新型的Browder不动点定理。

Using the local notions of entropy: entropy tuples and sequence entropy pairs, we characterize the structures of a topological K-system and a topological null system.

借助于熵串和序列熵对，刻画了拓扑K系统以及拓扑null系统的结构。

This dissertation summarizes all kinds of topological relationships and spatial operations, and uses the conception realms to design the data structure of spatial region objects, and devises the red、blue planar graph algorithm, and makes use of red and blue sweep-line algorithm to implement the spatial topological analysis operations on layers of region objects. At the end, further works and improvements are presented.

本文 对空间拓扑分析操作进行了归纳总结，并且基于 Realms 概念探讨了空间区域对象的数据结构以及红蓝区域平面图算法，文章详细讨论了针对双层红蓝区域对象的各种空间拓扑分析算法的实现，最后是该类问题的进一步改进和构想。

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。

Topological indexes of A , B , C and D were all obtained from the different combination of topological vertex degree. A QSAR equation for this series of compounds was established based on the multi-linear regression method and a new group of autocorrelation topological indexes. The results showed that the biological activity is linearly correlated with the volume and branching size of the quinclorac derivatives. Finally, new herbicide was designed based on all QSAR results.

针对应用经典结构参数和量子化学参数得出的结果不够理想的问题，对点价自相关拓扑指数进行了研究，建立了一组新型的点价自相关拓扑指数A、B、C、D；首次将该指数用于除草剂氯喹酸酯类化合物的定量构效关系研究中，建立了很好的定量构效关系方程，综合分析所有的QSAR结果设计出了潜在的新型除草剂氯喹酸烯丙酯。

An element bonding parameter topological index HLA is proposed based on topological principle and valence shell electron structural character.

基于元素键参数拓扑指数原理以及镧系元素价层电子结构特征构建了一种新的拓扑指数HLA。

Based on these researches,a full theoretical method is established, which is an applicable to determine all possible STPR mechanisms of anyone usable topological limb.Finally,this family of STPR mechanisms is determined one by one.Each mechanism in the family is depicted by means of the type of its topological limb,the actuated layout,and the structure parameter.

基于这些工作，形成一套完整的理论方法，用来确定任何一种可用分支拓扑组成的所有可能的STPR机构，一类STPR机构最终逐个被确定，每个机构都可以根据其分支拓扑类型、驱动布局类型和结构参数给以唯一的描述。

The piston mathematical model of some type engines in topology optimization was founded using variable density method. According to the optimization area of the piston pin seat and the thrust face, the topology optimization of piston structure in this area was studied using the HyperWorks software premising the stability of skirt's distortion.

建立了某高速发动机活塞的变密度法拓扑优化数学模型，以活塞销座和推力面之间的区域为优化区域，在保证裙部变形稳定性的前提下，利用HyperWorks软件对该区域的活塞结构进行了拓扑优化。

Traditionally, a surface is usually scatted in an array of 3D data points which are topologically connected by rows and columns to form a rectangular mesh. This method can't meet the requirement of description and measurement for some complex surfaces. On the basis of tracing border points, a new method is proposed to deliver 3D data points of surfaces, which are topologically constructed with optimum rectangular and triangular mesh. In order to measure surface efficiently and safely with NC machine, an optimization of measurement paths is proposed to avoid interference between the measuring tool and the surface with holes. The curve design is the basis of surface modeling.

数控测量技术的发展为测量自动化、集成化、智能化提供了可能，而对于复杂曲面的自动测量规划则是测量技术中的难点问题，平行截面等数目测点分布和四边拓扑测点分布规划方法，不论在测点分布的合理性上还是在网格结构的优化方面，均难以满足形状或边界较复杂曲面的离散化描述和曲面造型的要求，为了实现任意拓扑曲面的自动测量，本文对复杂曲面的合理离散化描述和自动测量问题进行了研究，提出了基于边界跟踪、优化网格的测点自动分布规划和四边、三角混合网格的生成方法：同时对具有孔洞或测量干涉凸台等非完整曲面的测量路径优化问题进行了研究，提出了路径优化方法。

Locale theory and L-fuzzy topology are the two most maturest benches in topology on lattices, and both of them are close related to order strctures.

Locale与L-fuzzy拓扑同为格上拓扑最为成熟的两个分支，且都同样与序结构密切相关。

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