查询词典 topological homeomorphism

A method of the surface combination based on classification or Euler Operation and the computation of the surface boundaries of a surface is offered to finish the geometry mapping of surfaces between half-edge model and the closed_shell branch of manifold surface model. Moreover, the concepts of conformal-shape geometrical mapping and topological mapping are given. The bi-directional conformal-shape topological mapping between half-edge model and the closed_shell branch of manifold surface model is proved.

提出了一种基于等价分类和欧拉操作的面片合成和曲面边界计算方法，完成了半边模型到流形曲面模型closed shell枝的曲面几何映射；给出了保形几何和保形拓扑映射概念，证明了半边模型到流形曲面模型的closed_shell分枝的双向保形拓扑映射。

The relation between the rough sets and topological space is studied and topological space properties of rough sets on general relation are discussed.

研究了粗糙集和拓扑空间的关系。讨论了一般关系下粗糙集所诱导的拓扑空间的性质。

Second, the fuzzy membership functions of dividing topological space and describing topological relations are proposed.

模糊形态算子能够同时处理模糊和非模糊数据，能够提高处理的精度。

Moreover, a sufficient and necessary condition for an I -topological vector space to be determined by its level topological spaces is discussed.

此外，还讨论了I型fuzzy线性拓扑由其水平拓扑确定的充要条件。

This new definition of compactness is identical to the general one. On the other hand, this new definition method simplify many concepts and conclusions in the topological space and clarify their nature character. Therefore, the compactness theory of the topological space is improved to a certain degree.

一方面，这种新的定义与一般的紧性定义是一致的；另一方面，这种新的定义方法简化了原有的概念和结论，使它们的本质特性更为清晰，因而在一定程度上发展了拓扑空间中原有的紧性理论。

The main results of this study are as following:(1) Let X be a topological space, the following are equivalence:①X is CH-topological space.

主要结果如下：(1 )设 X是拓扑空间，下面命题等价：1 X是 CH空间；2是 T1空间；3是 T2 空间。

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。

Based on the description of uncertain linear and area objects, intersection degrees for parts of uncertain linear and area objects are represented quantitatively. By calculating correlation degrees between spatial vectors composed of these measurement units and spatial relation vectors determined by 9-intersection model, a new model is presented for topological relations between uncertain linear objects and fuzzy region, which could distinguish the type of topological relations through quantitative analysis method.

在时不确定线状目标和面状目标进行描述的基础上，对不确定线状目标与面状目标各组成部分之间的相交程度进行了定量表达，通过计算这些度量组成的空间向量与9-交集模型确定的空间关系向量之间的相关度，提出了一种不确定线状目标和面状目标之间拓扑关系的描述模型，通过定量的方法来对其空间拓扑关系进行判别。

The topological structure of a new type of static synchronous compensator, which consists of traditional 12-pulse converter and a cascaded H-bridge, is presented. The purpose of designing such a topological structure, which integrates the concepts of multi-level, soft-switching and re-injection, is to reduce the voltage harmonic content at AC side and to solve dynamic voltage balance among the switches connected in series.

介绍一种新型H桥级联静止同步补偿器(static synchronous compensator，STATCOM)的拓扑结构，它由传统的12脉冲变换器和一个H桥链构成，结合了多电平、软开关和注入技术，降低了交流侧电压谐波含量，解决了串联开关动态电压平衡的问题。

According to the three criteria, an appropriate doorsill is found by adaptively adjusting a discount factor in the process of iteratively solving. 2. 3 Method of Processing the Deleted Elements According to the doorsill, the continuous topological variables can be regressed to the 0-1 type discrete topological variables.

2.2 调整折减系数搜索最佳阈值为了能使程序快速准确的得到满足约束的最优拓扑结构，根据框架结构的特性引入结构非奇异、结构响应不被违背和结构重量不改变三个准则判断迭代收敛，并根据这三个准则的满足情况，在优化迭代过程中自适应的调整折减系数来搜索最佳阈值。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。