查询词典 topological homeomorphism

This paper aims at the prominent issue that current models of spatial topological relations can not represent complex object, among which 9-Intersections Model (9IM) is well known. Therefore, taking cadastral data as example, one model of topological relations between complex and spatio-temporal objects based on 9IM is put forward. And the improved sweep-line algorithm is designed. Specific studies as follows:(1)According to the concepts of point set topology, the author distinguishes the complexity of the object, redefines the spatial point, line and region. For instance, in the simple region, concave one is more complex than convex, composite regions can be composed of many parts or with holes, and so on.

本文针对当前空间拓扑关系模型无法表达复杂对象的突出问题，以地籍对象为实例，以9I模型为基础，探索了一种适合复杂对象和时空对象的拓扑关系表达模型，较好地解决了地籍对象中各类要素间拓扑关系的描述和应用，实现了地籍变更中变化语义类型的推理和历史回溯；通过对现有的拓扑关系计算方法进行了改进，设计了相关算法，给出了C语言程序示例；最后通过实验系统的实现，验证了模型和算法的可行性。

Thirdly, based on the φ-mapping theory the topological field theory of various topological structures in two-and three-component spinor Bose-Einstein condensates is established.

第三，本文应用Φ-映射理论建立了两分量和三分量旋量玻色-爱因斯坦凝聚体中包含多种拓扑结构的拓扑场论。

It is found that topological charge of vortex beam influences the interference pattern, i.e., by compared with the straight interference pattern of plane wave, the interference pattern of vortex beam is shifted in the transverse direction as we look from the top of the interference to the bottom, and the magnitude and direction of shift are related to the topological charge.

详细介绍了涡旋光束的拓扑荷数对干涉条纹分布的影响。发现同平面波的竖直干涉条纹相比较，涡旋光束的干涉条纹，从顶部向底部看去，沿着横向出现移动，并且移动的大小和方向与拓扑荷数的取值有关。

The theory of graphs and relations between the spectra and fixed variate (e.g. chromatic number, degree sequence, diameter and connectivity) of graphs by means of the well-developed theory and technique of algebra, topological structure properties of graph, combination and matrix theories so as to establish firm essential relation between the algebraic properties and topological properties of graphs and networks.

图谱理论的研究主要是利用成熟的代数理论和技巧，并结合图的拓扑结构性质和组合数学的理论、矩阵理论来研究图谱及其与图的结构性质、图的其它不变量(如色数，度序列，直径，连通度等)之间的关系，将图与网络的代数性质与图的拓扑性质紧密地联系在—起。

As the layer structure of lattice, relative separation properties and relative compactness in L-fuzzy topological spaces are more complex than that in general topological spaces.

由于层次结构的存在，L-fuzzy拓扑空间中的相对分离性和相对紧性较一般拓扑学中的相对分离性与相对紧性复杂得多。

To find the failure propagation mechanism from the inherent topological structure of the complex electromechanical system, the topological structure statistical properties of the system were analyzed with small world net theory, and a failure propagation model based on the small world clustering was proposed.

为了从复杂机电系统自身固有的网络拓扑结构出发来研究故障的传播机制，采用小世界网络理论分析方法，对系统网络拓扑结构统计特性进行分析，建立了基于小世界聚类特性的故障传播模型。

Now, the topological relationships that have been defined cannot represent the topological relationships between the two complex spatial features arbitrarily composed of points, li...

当前，对拓扑关系集合的定义还不能描述那些由点、线或面等不同维几何对象构成的复杂空间对象之间的拓扑关系。

In Chapter One we introduce briefly the historic background and notions of topological system and some known results about topological system in one dimension.

在第一章中，我们简单地介绍了拓扑动力系统的历史背景和一些基本概念以及一维动力系统中的一些已知结果。

Thus the topological invariants, including dimension, the number of separates, type of components, and sequence of components, are introduced for detailed classifications of topological relations.

这些模型都是在其分类层次上对面目标间拓扑关系的完备描述，并且它们的区分能力是层次递进的。

Finally, using theφ-mapping topological current theory, we introduce a topologicalcurrent to describe the topological feature of the vector field.

最后，利用φ-映射拓扑流理论，我们引入一个拓扑流来描述矢量场的拓扑性质。

"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。