查询词典 point set topology

The curriculum comprises the fundamental concepts of point set topology, differential manifold and differential dynamics, followed by the conceptions and theoretical methods of abrupt change, bifurcation, chaos and fractal. The analysis and compare combined with the practice in power system make it easy for readers to learn the basic methods of nonlinear dynamics and write high quality papers.

本课程主要内容包括点集拓扑学、微分流形和微分动力系统的基本概念，后面部分主要涉及到突变与分叉、混沌、分形和分维概念和理论方法，并结合电力系统实际例子加以分析与比较，使读者很快掌握非线性动力学的基本方法，能够写出高质量的文章和学术论文。

Subsequent chapters develop measure theory, point-set topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces

制定措施以后各章的理论，点集拓扑学，傅立叶的勒贝格积分系列，与Banach和Hilbert空间的基本知识

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。

In the past,description on topological spatial relationship of GIS was based on basic theory of point set topology.

过去对GIS拓扑空间关系的描述均是基于点集拓扑学的基本理论，描述点、线、面、体间的覆盖、相邻、相交和相离等关系。

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。

The dissertation gives a self-contained definition of Complex boundary and interior based on point set topology so that the Complex was consistent with the common description of spatial objects. It is in favor of a unifying between nature description and theory representation of spatial entities in 3DGIS.

本文基于点集拓扑学理论，对复形的边界和内部进行了完备性定义，使得空间实体的复形表达符合人类对空间对象的直观认识，有助于在3DGIS中实现空间实体的自然描述与理论表达的统一。

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。

A framework of temporal topological relationship representation based on point-set topology, which can be used to describe temporal topological relationships completely and uniquely, is presented.

同时，给出了时态拓扑关系完备且唯一的点集拓扑理论描述及其等价的逻辑谓词描述。

Based on the profound analysis for representation and reasoning of qualitative spatial relations, this paper proceeds with some originality innovation researches as follows:(1) Representation of spatial topological relations Based on the point-set topology and ontology, representation methods for spatial topological relations are researched.

在对定性空间关系表示与推理进行深入分析的基础上，本文进行了以下几方面的创新性研究：(1)空间拓扑关系表示以点集拓扑学和本体论为基础，研究了空间拓扑关系表示方法。

The Geographic Information System theory as a guide, point-set topology theory as basis, this paper uses object-oriented method to study on profile-based three-dimensional topological data model and data structure. By use of computational geometry, GIS, computer graphics images, 3DGM, the construction and dynamic updating methods of 3DGM are researched on the basis of amended OO-Solid data model.

本文以地理信息系统理论为指导，以点集拓扑理论为基础，采用面向对象的方法研究了基于剖面的三维拓扑数据模型和数据结构，采用计算几何、地理信息系统、计算机图形图像学等方法研究了基于修正后的OO-Solid数据模型的三维地质模型构建与动态更新方法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。