抽象空间

By using these convergence theorems,it presents the Silverman-To-eplitz regular theorem and Samaratunga-Sember theorem on the Abelian topologicalgroups,the Vitali-Hahn-Saks theorem on algebras and the weak sequentially completenesstheorem of 〓-dual spaces of sequence spaces,etc.

这是抽象分析中的两个基本定理。作为应用，给出了Abelian拓扑群上的Silverman-Toeplitz正则性定理、Samaratunga-Sember定理、代数上的Vitali-Hahn-Saks定理，以及序列空间的〓对偶空间之弱序列完备性定理等。

It can be inferred from the analysis of the two languages that people employ things they are familiar with to refer to abstract concepts, for example, the spatial concepts of UP and DOWN can be used for abstract concepts like NUMBER, STATUS, QUALITY etc.

两种语言中UP，DOWN空间概念的使用是人们遵循"近取诸身，远取诸物"的原则，将空间域的概念投射到数量，社会地位，情绪状态以及好坏等抽象概念域，以减小认知难度的结果。隐喻的使用和理解符合人类认知的普遍规律。

Moreover, he confuses real time and space, limited like the things they develop, with ideal or abstract time and space, which alone are general and without limit.

此外，他还混淆真正的时间和空间，有限的一样，他们开发的东西，理想或抽象的时间和空间，这仅仅是一般，没有限制。

In the process of public environment art design, mural should consist in the person and environmental. Because it is the explain and expand of environment, it can make a concrete and limited space sublimate to be a certain abstract meaning and infinite art space.

在公共环境艺术设计中，壁画的设计应在于人与环境的关系，它是对环境的诠释，更是对环境的拓展，使得一个具体的、有限的场所空间，升华为一个具有某种抽象含义的、无限的艺术空间。

In chapter 2, we define the abstract periodic three level bounded variation functions with range in a Banach space ?

其中第二章定义并研究了实Banach空间取值的抽象三级周期有界变差函数用抽象系数三角多项式逼近的性质。

Based on the nLMDP andΘ-learning, an states evolution algorithm is proposed.A complementary abstract state space is emerged while the values of actions and the policy are learned. As a result,only goal state and the prototype actions have been enough for the designer.

本文提出了状态演化的方法，基于逻辑马尔可夫决策过程nLMDP和替换学习，仅需要设计者提供任务的目标抽象状态和主体的原型行动集，主体在学习中自己组织抽象状态空间，并对他们进行评价，完成策略的学习。

But this kind of entity may insurmountably have some uncertainties when it is expressed abstractly to the spatial object of GIS, and these uncertainties are the uncertain factors including error, inaccuracy, illegibility and so on.

但是这类实体在抽象描述为GIS的空间目标时难以避免地会带有一定程度的不确定性，这种不确定性指的是在进行抽象描述时随之产生的误差、不精确性、模糊性和含混性等不确定性因素。

This paper proposes a new concept of a knowledge of development cyberspace situation assessment distributed fusion system and information abstraction distribution level and the logic abstraction hierarchy.

提出了一个新的概念———发展计算机空间态势估计的分布式融合系统及信息抽象分布级别和逻辑抽象层次的知识。

As an art, architecture is essentially abstract and nonrepresentational and involves the manipulation of the relationships of spaces, volumes, planes, masses, and voids.

作为一门艺术，建筑基本上是抽象的，抽象的，涉及操纵的关系空间，数量，飞机，群众，空隙。

Based on the theory of industrial design and fuzzy set, using Object-Oriented technology and semantic grammar technology, a semantic transformation method for product color design is proposed.

首先采用定性和定量相结合的方法，比较各抽象语义词汇对人心理感觉影响的差异，建立了抽象语言和色彩关联的三维风格语义空间，为色彩信息的表示及推理奠定了基础。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。