查询词典 topological homeomorphism

Lacking necessary metrization, RCC only describe spatial topological relations roughly without further accurateness, and it is also not easy to describe spatial relations such as distance, direction and so on, with the exclusion of topological relation.

但由于缺乏必要的度量，RCC只是粗略地描述空间拓扑关系而难以对其更准确地描述，也难以利用RCC描述除拓扑关系之外的其它空间关系，如距离、方向等。

Based upon the idea of space partition and object decomposition, topological components of an area object with holes are defined by the use of the concept of neighborhood in the point set topology, which is a natural extension of the definitions for topological components of a simple area.

本文基于空间划分和目标分解的思想，利用点集理论中的邻域概念详细分析和描述带孔洞面目标的点集拓扑分量，这种描述方法实质上是简单面目标点集拓扑分量描述的一种自然延展。

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。

XEX ~ Arg min{FIy E ~2} where the upper level is about topological structure optimization(a~ is a topological structure varable), and the lower level is a constrained programming about continuous variable y. 2 Apply graph, the action of permutation group on a graph, equiva- lent class, orbit etc.

取得的主要成果有： 1 依点到集的映射、集值映射、二元映射和分离定理等理论首次建立了具有拓扑结构双层规划的数学模型 min F s.t.x∈X y∈Arg min｛F|y∈Ω｝其上层规划为关于离散变量x的拓扑结构优化，下层规划是关于连续变量的约束规划。

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。

The theory of topological perception argued that a primitive and general function of the visual system was the perception of global topological properties.

客体的形状、大小、明度、颜色、甚至拓扑结构等特征都与知觉组织有关，它们分别在知觉过程中起着不同的作用。

Based on twenty yearss research, Chen Lin developed the holistic processing hypothesis of Gestalt psychology into topology property perception theory, and thought of the human perception as a processing from holistic property to local property of perceptual object. From the viewpoint of Chen, a primitive and general function of the visual system is the perception of topological properties, and perceptual organization should be understood in the perspective of transformation and perception of invariance over transformation in the topological approach.

基于二十余年的研究积累，陈霖的拓扑性质知觉理论从格式塔心理学的整体加工思想出发，试图结合拓扑学的相关研究，对人类的知觉加工给出一个"大范围到局部"的说明，认为视觉系统的基本单元和一般功能是拓扑性质的知觉，知觉组织应当从变换和变换中的不变性知觉的角度进行理解。

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。

In this note, various definitions of lower semicontinuous set- valued mapping are extended to topological spaces without any metric topological and are compared.

文章的目的是要把各类下半连续型集值映射的定义推广到不带有任何度量的拓扑空间中并且作仔细的比较。

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。

"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。