空间

Moreover, we get the sufficient and necessary condition of in Orlicz spaces.Chapter 3 Extreme points and strongly extreme points in Orlicz spaces equipped with the generalized Orlicz norm: In this paper, the conceptions of the generalized Orlicz norm and the generalized Luxemburg norm are introduced, and the criteria of extreme points and strongly extreme points of Orlicz function spaces equipped with the generalized Orlicz norm are obtained. Moreover, criteria of space strictly convex and mid-point locally uniform convex are given.

第三章 赋广义Orlicz范数的Orlicz函数空间的端点和强端点：本章在Orlicz空间推广了Orlicz范数和Luxemburg范数，引入了广义Orlicz范数和广义Luxemburg范数的定义，并给出了赋广义Orlicz范数的Orlicz函数空间的端点和强端点的判据，进而得到了赋广义Orlicz范数的Orlicz函数空间严格凸和中点局部一致凸的充要条件。

Numerical simulation results reveal that the tangential, axial velocity and radial velocity in the annular space are asymmetric distribution, and basically symmetric distribution in the separation space.

在旋风分离器的三维速度中，切向速度在环行空间具有明显的非轴对称分布，向下进入分离空间后很快发展为轴对称分布；轴向速度和径向速度在环行空间存在一定的非轴对称性，而到分离空间后基本上是轴对称分布了。

In the third chapter, we study complete minimal submanifolds of locallysymmetric space, and we obtain a pinching theorem about the Ricci curvature of the minimal submanifolds, which generalizes the result of Norio Ejiri\'s from sphere space to locally symmetric space.

第三章节研究局部对称空间中具有正Ricci曲率的完备极小子流形，得到了关于子流形Ricci曲率的一个pinching定理，该定理把Norio Ejiri的结论从外围空间为球空间推广到局部对称空间中。

Virtual Space Teleconferencing System is based on video teleconferencing system.

虚拟空间会议系统是在视频会议的基础上发展起来的，与会者以替身的形式出现在计算机生成的虚拟会议空间中，通过替身在虚拟空间中定位、观察、操纵虚拟空间的物体，与其他用户进行"面对面"交流。

The underground space is a natural formation or artificial exploit space in terrane or topsoil.

摘要地下空间是在岩层或土层中天然形成或经人工开发形成的空间。21世纪是"地下空间"的世纪，"向地下索取空间"是城市可持续发展的必由之路。

After analyzing the merit and lack of 9I model, the main idea is proposed: to distill some basic topological relations from 9I model, of which the composite topological relations of complex objects are made up. In detail, the composite topological relationships between region and region, line and line, line and region are particularly discussed;(2)Analyze the characteristics and inner relations of cadastral features. According to the expressional model of complex topological relations, the author discovers the possible topological relations between parcels, parcel lines and parcel points. In addition, sum up the general topological relationship rules of cadastral data.(3) Then the topological relations model is extended to the spatio-temporal data. Time in cadastral database and change semantic are discussed. It's redefined that spatio-temporal topological relations is composed of time, location, status and event relation. Spatio-temporal topological relationships can be represented by extended 4I model. Taking cadastral parcels as example, there are different possible spatio-temporal topological relationships between parcels when they are extended, shrunken, split, merged or others. Thus, some deductions are drawn that, for example, if parcels have be coexisting for some time they are impossible to be overlapped. Furthermore, the parents of parcels alternated and their possible change types can be detected by their spatio-temporal topological relationships.(4) Before carrying out the experiment, the calculation method must be designed.

具体研究工作及成果如下：（1）根据点集拓扑理论中与拓扑空间相关的概念，本文对空间的点、线、面进行了重新定义，以区分对象的复杂性；分析了9I模型在表示简单对象方面的优点，以及在表达复杂对象上的不足，阐述了本文的研究思路和解决方案，并以复杂的面面、线线和线面为例详细探讨了复合拓扑关系的表达方法；（2）分析了地籍权属数据和地类数据的内涵、特点和要素之间的联系，根据复杂对象的拓扑关系表达模型，本文讨论了宗地、界址线、界址点之间，图斑、线状地物、零星地类之间可能存在的拓扑关系和形式化表达方法，归纳总结了地籍对象的拓扑关系满足的约束性规则；（3）将拓扑关系的研究延伸到时空领域，从地籍对象的时态性出发，本文阐述了地籍数据中时间的含义和变化语义描述的需要；从时间、位置、状态、事件等之间的拓扑关系方面，重新系统性地进行了时空拓扑关系的定义；研究了一维时间和二维空间的集成表达方式，以宗地、界址线为例，分析了变更前后不同时间区间里可能的拓扑关系，探讨了时空拓扑关系对时空变化操作类型和变化语义的推理方法和意义；（4）为实现空间拓扑关系的查询分析等应用，本文研究了空间拓扑关系的计算方法。

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。

Spatial public policy of industrial agglomeration are based on industry policy and industrial agglomeration policy,and uneconomic space formed by maket malfunction is in need of it,it's very important to scientific development of spatial economy.

认为产业集聚空间公共政策是空间公共政策的一种，产业政策和产业集聚政策是其基础，而市场失灵引发的空间不经济是其产生的客观需要，对空间经济的科学发展具有重要作用。

In 1936, J.Clarkson first introduced the concept of uniformly convex Banach spaces ,initiated from geometric structure of the unit sphere of Banach spaces to research the properties of Banach spaces, began to research convex theory of Banach spaces. The same year, J.

Clarkson首先引入了一致凸Banach空间的概念，开创了从Banach空间单位球的几何结构出发来研究Banach空间性质的方法，开始了Banach空间凸性理论的研究。

This will be achieved by stacking different courtyard layers on top of one another, creating an ethereal, semi-solid piece of urban fabric, a vague geometric shape, which maintains the spatial relationships and hollow core of the courtyards.

这是一个室内外空间穿梭掩映的漂浮状结构，没有清晰的几何形体，但在各个方位和不同层高上通过庭院空间把城市公共空间与宜人的小尺度环境结合在一起。"空儿"成为了空间组织的核心。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。