空间性

Finally,as to an equicontinuous homeomorphism on a compact metric space,...

最后，针对紧致度量空间上的等度连续同胚，利用空间的极小性和紧致性，得到以空间中某有限个点的有限长轨道为中心，以ε2为半径的开邻域构成的有限子覆盖，并利用f的等度连续性，由该子覆盖构造出以空间任一点的有限长轨道为中心的开邻域所作成的有限子覆盖，进而得到所要结论。

Two main problems of the main road pedestrian environment have found out: first, the main pedestrian realm of the main roads is incontinuous, lack genius loci and low service level; second, the joint part of the main pedestrian realm, including crosswalks and bus stops, are unsafe and inconvenient.The main causes of those problems from macroscopic viewpoint are analyzed.

提出目前城市干道步行环境存在两大问题：一、以人行道空间为主的"城市干道两侧主体步行空间"，存在空间不连续、缺乏领域感、部分设施服务等级过低等问题；二、以人行横道、公交车站等为主的"进入主体步行空间的交接性步行设施"，存在缺乏安全性和方便性的问题。

In Chapter 3, we discuss the other orthogonalities in in Banach space, and give some properties of them. The emphase of the chapter is to study the relations of Birkhoff orthogonality, Isosceles orthogonality and Pythagorean orthogonality, and it is proved that if one of these induces another, then the space is an inner product space.

第三章研究其它几种正交性问题，讨论Birkhoff正交性、Isosceles正交性与Pythagorean正交性之间的关系，证明了：如果这三种正交性的任一种都蕴含另一种，那么此空间就是内积空间。

Results reveal that the spatial correlation properties of MIMO channel are dependent on the PAS, the antenna pattern and the geometric configuration of the array. When the PASs at the base station and the mobile station are independent, the spatial correlation matrix of the MIMO channel is the Kronecker product of the spatial correlation matrix at the BS and the MS. The temporal correlation properties of the MIMO channel are determined by the PAS at the MS, antenna pattern and the traveling speed of the MS. Based on the analysis of the physical essence, the temporal correlation properties are equivalent to the spatial correlation properties at the MS. The joint spatio-temporal correlation properties at the BS and the MS are quite different. When the PASs at the BS and the MS are independent, the spatial correlation at the BS is independent on the temporal correlation, but this is not true for the spatial correlation at the MS.

分析与计算的结果表明，MIMO信道的空间相关特性由角度谱、阵元的方向图、阵元间距以及阵列几何结构决定，并且当发射端与接收端的空间统计特性相互独立时，MIMO信道的空间相关矩阵可以表示为发射阵列空间相关矩阵与接收阵列空间相关矩阵的Kronecker乘积：信道的时间相关仅与MS端的角度谱、阵元方向图以及MS的运动速度有关，通过对信道时间相关的物理本质的研究，说明了时间相关与MS端空间相关的等价性；MIMO信道的空-时联合相关特性在BS端和MS端具有不同的特点，当发射端与接收端的空间统计特性相互独立时，BS端的空间相关与时间相关是独立的，而由于信道的时间相关与MS端的空间相关具有相同的物理本质，MS端的空间相关与时间相关不是独立的。

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

However, Jiazhangke's films create the space by using motion, shooting scale ,the relations among performers and the transportation and a outer space of image in Jia's films is also created through dispatching the shot, performers and multiple space ,refering to which this text reexplains and conformities the film's concept of space and analyses how to create the space using audio in order to formulate Jia's understandings to space――the film space view of "non-mirror-image" and the inherent tension and open space idea taking root on the reality.

本文通过对电影空间概念的重新诠释和整合，以及对贾樟柯利用运动、景别、人物关系和交通工具营造空间，通过贾樟柯对影片中镜头、演员、多重空间的调度，创造画外空间，和用声音创造空间等实证性的分析，阐述了贾樟柯对空间的理解——非镜像化的电影空间，以及这种理解扎根于当下、立足于现实而形成的内在的张力和开放式的空间观念，揭示了他的作品独特的空间观念及这种空间观念对中国电影民族化的影响。

On the aspect of urban spatial distribution DM: Adopting the conception model of combination of location and attribute, the author brings spatial coordinates, spatial relationship and attribute character into the unitive model of spatial computation, studies city's land suitableness evaluation and the method of spatial clustering in division of urban function districts and brings forward the arithmetic of classification layer. Aiming at land spatial optimization allocation, the author puts forward SGA. In this arithmetic selection, crossover and mutation operator are progressed on the space.

在城市空间分布数据挖掘方面：采用空间—属性一体化概念模型，把空间坐标、空间关系和属性特征纳入到统一的空间计算模型，分别对城市土地适宜性评价和城市功能区划分中的空间聚类方法进行了研究，并提出了一种分类图层的平滑算法；针对城市土地的空间优化配置，提出了一种空间遗传算法，该算法中的选择、交叉、变异算子都是在空间上进行的；对多要素离散空间场之间的相关性测度，定义了一种基于信息熵的规范的相关指数，并给出了计算方法。

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 results prove that T*1 S-closed space and T2 S-closed space are identical and that the regular S-closed space and normal S-closed space are the same. Therefore, to make T*1 space X become the complete conditions of S-closed space is the X extremely unconnected H-closed space, while S-closed space X can be measured as the complete condition X of S-closed T1 normal (A1) space.

首先讨论了S-闭空间的分离性，证明T*1型的S-闭空间与T2型S-闭空间是相同的，正则的S-闭空间与正规的S-闭空间是相同的，从而得到要使T*1型空间X成为S-闭空间的充要条件是X为极不连通的H-闭空间， S-闭空间X可度量化的充要条件是X为S-闭的T1型正则(A1)空间。

Two main problems of the main road pedestrian environment have found out: first, the main pedestrian realm of the main roads is incontinuous, lack genius loci and low service level; second, the joint part of the main pedestrian realm, including crosswalks and bus stops, are unsafe and inconvenient.The main causes of those problems from macroscopic viewpoint are analyzed.

提出目前城市干道步行环境存在两大问题：一、以人行道空间为主的&城市干道两侧主体步行空间&，存在空间不连续、缺乏领域感、部分设施服务等级过低等问题；二、以人行横道、公交车站等为主的&进入主体步行空间的交接性步行设施&，存在缺乏安全性和方便性的问题。

James, son of Zebedee, and John the brother of James, whom he named Boanerges, that is, sons of thunder

载伯德的儿子雅各伯和雅各伯的弟弟若望，并为他们起名叫"波纳尔革"，就是"雷霆之子"

The southern Hungarian university city of Szeged will host part of the project, amounting to 40 percent of the total investment, which will mostly be paid for through Hungary's EU structural funds.

位于塞格德南部的匈牙利大学将负责部分项目，总计占总投入资金的40%。大部分资金将由匈牙利的欧盟结构基金会支付。