查询词典 Hausdorff space

Content question: there is no space in the universe, we observed with space is matter and field components space, the expansion of space is substances and substances in the expansion of the field, all moving substances and substances will be in a field-the-field sport, including light and electromagnetic waves, like automobile from the disconnexion in the same way, there is no absolute vacuum of space, there is no absolute coordinate system, all substances campaign has been relative motion.

内容题要：宇宙是没有空间的，我们观测的空间是物质和场物质组成的空间，空间的扩大也是物质和场物质在扩大，所有运动的物质和场物质都会在一个场上运动，其中包括光和电磁波，好象汽车离不开路一样，不存在绝对真空的空间，也没有绝对坐标系，所有物质运动都是相对运动。

The effective prediction space concept is established, On the base of these, this paper deduces two representations' evaluating equation, one evaluates the prediction error and the other evaluates the prediction error in limited space. First, the error transfer characteristic among subsystems at different space locations is analyzed, and the direct transfer characteristic from discrete standard measure space to the workpiece measure space under measured in measure system is proven. Second, the error reconstruction condition and method of mapping from discrete standard measurement system to continuous standard measurespace are analyzed.

分析了不同空间位置子系统间的误差传递特性，证明了在测量系统中离散标准量值空间向被测量工件量值空间的直接传递性；分析了离散标准量系统向连续量值空间映射的误差重构条件和方法；基于测量样本的有限距离的平稳性，证明了预报模型对动态测量误差的有限收敛性和预报误差的可测度性，进而证明了以离散标准量值系统对被测工件预报修正的可行性和合理性。

This thesis focus on the issue of "configuration and evolution in urban residential space" with its motif as follows: whatever phase a city is on urban space is both a "geographical space" and "social space" with the former to be exterior formation and the latter essentialness, which impart the differentiation of residential space to be incarnate of social stratum indicating human relation and that of social group as well, hence engender the "geo-social dialectic".

论文围绕着"城市居住区空间结构模式演化"为主线来展开，中心思想是：无论在城市发展的那个历史时期，城市居住区空间既是一种"地理空间"，同时也是一种"社会空间"，前者是外表形式，而后者是内在实质，城市居住区空间的"分化"现象是城市社会等级结构的外在体现，实质上是人与人以及社会群体之间关系的反映，从而形成"社会空间统一体"。

This thesis focus on the issue of "configuration and evolution in urban residential space" withits motif as follows: whatever phase a city is on urban space is both a "geographical space" and"social space" with the former to be exterior formation and the latter essentialness, which impartthe differentiation of residential space to be incarnate of social stratum indicating human relationand that of social group as well, hence engender the "geo-social dialectic".

论文主要从空间分布的角度出发，分析与归纳不同时期城市居住区结构特点与模式。

Secondly identifies the relation of G / S model and space data services platform , space data services platform is the core of G / S model, the current space data service platform is in the initial stage of development, and the "Digital Earth platform" as a kind of space data service platform is the key issue which is studied , and with other space data services platform, it has many characteristics and advantages.

其次肯定了G/S模式与空间数据服务平台的关系，空间数据服务平台是G/S模式的核心，当前的空间数据服务平台正处于发铺的初级阶段，而"数字地球平台"是本课题重点研讨的一种空间数据服务平台，和其他空间数据服务平台比拟具有良多特色和长处。

In all, the application of the interdisciplinary cultural research method to culturally and politically reflect on the relationships between literature and space is not only criticism of alienation caused by the domination of homogeneous space power, but also possibility of combating the repressive space, and thus transforming space and seeking for multiple differential space that is free and emancipatory.

总之，运用跨学科的文化研究方法，对文学与空间的关系进行文化政治学的反思，不仅意味着对同质化空间权力统制所造成的异化现象的批判，同时也意味着抵抗压迫空间，进而改变空间，寻求自由解放的多样差异空间的可能性。

It can be considered that there are separate 0 space, entity space,∞ space, imaginary number space and assembled space, etc.

可以认为，科学上存在单独的0空间、实体空间、∞空间、虚数空间，及组合空间等。

Three counter-examples of topological space are proposed in this study: There are two metric spaces, X and Y, in which and are isometric, whileand are not isometric; Non-metric tight regular space is a counter-example of the separation of topological space; No non-zero continuous linear functionals of the linear topological space is a counter-example of linear topological space.

这里给出三个反例，存在两个度量空间X与Y，使X^2与Y^2等距而X与Y并不等距是拓扑空间中的反例；存在不可度量化的紧的完全正规空间是拓扑空间分离性的反例；不存在非零连续线性泛函的线性拓扑空间是线性拓扑空间的反例。

In this paper, a varieties of concepts of compactness of sets and sunsets are introduced in a complex locally convex space, which are respectively the generalizations of the known sunsets and convex sets. By establishing the relationship between restricted p-centers of a set in a complex locally convex space and restricted Chebyshev centers of the corresponding set in the quotient space with respect to ker, characterizations and uniqueness of restricted p-centers of sets in a complex locally convex space are obtained. These results are better than any other known ones when we restrict them in real normed linear spaces and real locally convex space.

本文首先在复局部凸空间中引入了几种紧性及几种太阳集的概念，它们分别是已有紧性和凸集概念的推广；然后通过建立局部凸空间中集的限制p-中心和关于ker的商空间中对应集的限制Chebyshev中心的关系，来研究局部凸空间中集的限制p-中心问题，本文即使是在实赋范空间和在实局部凸空间中所得的结果都分别是有关已知结果的深化和推广。

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。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？