查询词典 topological structure

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。

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。

In relativistic non-linear field theory,topological defects are a kind of topological soliton.Soliton star is a soliton with star mass and star size.

孤子星是相对论性非线性场论中的拓扑缺陷，这类拓扑缺陷具有恒星到星系的质量。

Through topological theory and principle on flow analysis, draw out the topological characteristic of near field in round jet: the amount, connecting forms of critical point and primary bifurcation.

通过拓扑分析的方法，给出了横流中圆孔射流近区流场的拓扑性质：流场中奇点的类型、数目、连接方式及生成的主要流动分离线。

This paper introduces a physical feature-sensitive topological simplification algorithm for planar vector fields to solve the physical feature preserving problem ignored by pre-existing methods. Its central idea is to classify the vector field region under the application-specified physical criterion, and combine the feature detection of a vector field with its topological simplification.

针对现有拓扑简化方法忽略物理特征保持的缺陷，提出一种对物理特征敏感的平面向量场拓扑简化算法，其中心思想是使用为应用定制的物理判据分类向量场区域，将向量场的特征检出与拓扑简化关联起来。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。