空间

The measurement in set theory, the properties of Metric Space, Measurement Topology, Measurable Space, Perfect Metric Space and its application in first order circuit are explored in this paper.

本文论述了集合上的度量、度量空间的性质、度量拓扑、可度量化空间、完备度量空间、及一阶电路中的度量空间。

According to the basic concept of a street and its pattern language, and based on the concrete investigation in the village, we try to analyze the relationship among the material pattern, social pattern and the living pattern of a street, and study the necessary factors to the street space acting as a public space and the monotonousness and variety of a street space.

摘要从探讨街道的含义及其摸式语言入手，以客观翔实的村落调查研究作为立论基础，探索街道空间的物质形态、社交形态以及生活形态三者之间的相互关系，挖掘街道空间作为公共空间存在的必要条件及其单一性与多元性的空间意义。

In order to solve these existing problems, this thesis focus on the social contact space of neighborhood in the residential area , take the point of the architectural spatial view, and the study is based on the relationship between social contact activities and the environment.

其次，分别对三个邻里交往空间中的交往现状进行实地调研，通过行为记录，访谈记录，摄像记录等方式，了解居民在户外邻里空间中的交往状况、对邻里交往空间的要求以及邻里交往空间设计中存在的误区。

Note on relation of seminorm and norm in vector space;2. The functional representation of some seminorms such as the continuous seminorms, the beundedseminorms and the lower semicontinuous seminorms are given out.

给出了局部凸空间上连续半范数，有界半范数和下半连续半范数等的泛函表示，应用这些表示定理，我们得到了Banach－Mackey空间的一个全局特征和囿空间的对偶特征，最后还给出了局部凸空间理论中一些重要定理的简化证明。

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。

With Hilbert space filling curve and latent semantic index, MLSQ maps similar data objects in high dimension semantic space into an adjacent range in one dimensional value space, and considers every data object sequence number in one dimensional space as a key. MLSQ distributes the keys to adjacent nodes of structured P2P systems. By embedding the process of searching data points of HSFC into the nodes of structured P2P networks and using the data search mechanism of networks, MLSQ can facilitate to search the data objects in accordance with query requirements.

该方法利用Hilbert空间填充曲线和潜在语义索引，将高维语义空间中相似的数据对象映射到一维数值空间中的邻近区域中，并以每个数据对象在一维数值空间中的序号作为键，将数据对象的索引分布到有组织P2P网络邻近的结点上，通过将HSFC中数据点的查找过程嵌入到有组织P2P网络的结点上，再利用网络的数据查找机制，MLSQ可方便地搜索到符合查询要求的数据对象。

Drawing lessons from domestic and international forerunner, in the controlling detailed plan a series of index signs is put forward. It consists of boundary lines of roads, land usage, building line, building maximum height, H/D, frontage building height, building form, building color, building style, street texture, plane of maximum building height, building ratio along the street frontage, open space, building interval, roof outline, etc. They have different effects on the five interfaces of street space. By scientific controlling and guidance, it will guarantee the formation of the basic frame of street space that is full of humanism and emotion.

同时通过对国内外先进控制经验的借鉴，在控制性详细规划阶段提出了一套完整的控制指标体系：道路红线、用地性质、建筑后退道路红线、建筑极限高度、街道高宽比、沿街建筑高度、建筑形式、建筑色彩、建筑风格、街道空间质感、高层建筑斜线控制、沿街建筑贴线建造要求、开放空间要求、建筑间距、屋顶轮廓线等，期望通过对街道空间五界面的科学的控制和引导，保证人性化、情感化街道空间基本框架的形成。

In this paper, some decision theorems are suggested about the matrix orthogonal problem on the subspace of the finite dimensional Euclidan subspace. In addition, some concise results are obtained by matrix representation of the orthogonal complement and injection of vectors on the subspace.

利用向量组的Gram矩阵和向量的坐标矩阵对有限维欧氏空间中子空间的正交性给出了矩阵判定条件，对子空间的正交补及向量在子空间上的内射影给出了矩阵表示，获得了一些简捷有用的结果。

To begin with, the smoothing effect of error which is decomposed into orthogonal vectors in grid function space is analyzed. The error-reducing effect in orthogonal subspace which is developed from high frequencies and low frequencies component has been analyzed.

将协调有限元空间分解成高频子空间与低频子空间的直和，从而将误差的衰减变化转化为考虑高、低频子空间上的误差的高频与低频分量的衰减变化。

In this case the Hilbert space can be decomposed into an orthogonal direct sum of partial wave subspaces, which are the simultaneous eigenspaces of the angular momentum operators J^2,J_3 and the operator K which describes the spin-orbit coupling.

在此情形下希尔伯特空间可被分解为部分波子空间的直角方向的和，这子空间是本征角动量算符J^2，J_3和描述自旋轨道耦合算符K同时存在的本征空间。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了