查询词典 underlying topological space

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。

Next,this investigation found on literature and autoptical,taking pavement technique of square space,street space,waterfront,park space etc.as research target. We selected classical cases to investigate the influence of pavement technique to landscape space distribution,space sequence,axes line construct and visual guide.The author clarified the influence of pavement texture,color,figuration,scale and borderline to landscape space order in special landscape space.Then summarized three basic pavement design techniques that be applicable to modern landscape design and construct landscape space order.

其次在研究文献和实地调查的基础上，以广场空间、街道空间、滨水空间、景区等景观空间的展装手法作为研究对象，选取经典案例，通过研究展装设计手法对景观空间整体布局、空间序列组织、轴线塑造及视觉引导等方面对于景观空间秩序的影响，阐明在具体景观空间中展装材质、展装色彩、展装构型、展装标准、展装边界等要素的组织和对景观空间秩序的影响，进而回结出适用于当代景观设计并能够营造景观空间秩序的三种基本展装设计手法，及其在各类景观空间中的具体应用。

This paper models the underlying network topology as an Euclidean space and uses PCA to map this higher dimensional space to the lower dimensional logical space of CAN. So a peer's identifier is determined by its location in underlying network.

以对等网络系统CAN为基础，将底层网络拓扑建模为高维欧氏空间，使用主成分分析法将底层网络拓扑映射到低维CAN逻辑空间，从而根据节点在底层网络中的位置决定其在对等网络中的标识符。

By utilizing the concepts and methods developed in Algebra Topology,Algebra Geometry and Algebra Representations,we first depicted the concepts and results of Incidence Algebra which reflects the linear structure of underlying posets and Sheaf theory which reflects the topological structure of underlying poset in the framework of Category Theory.

本文综合运用了代数拓扑、代数几何及代数表示论里发展起来的概念与方法，首先在范畴的框架下，对和偏序集的线性结构密切相关的Incidence代数，及与偏序集的拓扑结构紧密联系的层，进行了刻画。

In thisthesis, we first extend the vanishing theorem due to Lawson, Simons and Xinto the case of compact submanifolds of a hyperbolic space. Thus, by using thenew vanishing theorem for homology groups, we prove the topological spheretheorem for complete submanifolds in a hyperbolic space. Hence we generalizethe Shiohama-Xu topological sphere theorem.

本文进一步将Lawson-Simons-Xin同调群消没定理拓广到双曲空间中紧致子流形的情形，并运用这一新的同调群消没定理证明了双曲空间中完备子流形的拓扑球面定理，从而推广了Shiohama-Xu的拓扑球面定理。

This thesis consists of five chapters. At first, We introduce the study history as well as present situation on KKM theory. Secondly, We discuss the invariability of transfer open valued multimap under the restriction of upper and lower semicontinuity on generalized convex spaces. Then, We obtain new KKM type theorems from the classical KKM theorem by applying upper and lower semicontinuity. We also obtain intersection theorems by applying the KKM type theorems for a multimap from a topological space to another topological space. Further, We obtain Ky-Fan type coincidence theorem by applying known variational results on the KKM type theorems. Finally, We give an application to new theorems.

本文共分五章，首先回顾了KKM理论的研究历史和现状，其次讨论了在一般化凸空间上转移开值映射在上、下半连续映射下的不变性，然后在上、下半连续映射下，以古典的KKM定理为基础得到新的KKM型定理，并利用从一个拓扑空间到另一个拓扑空间的集值映射及KKM型定理得到相交定理，进一步利用已知的KKM型定理的变形结论得到Ky-Fan型重叠定理，最后给出新定理的一个应用。

This paper gives the definition of grey topological linear space for the first time, andproves that it has some characters similar to those of ordinary topological linear space,suchas translation invariance ,balance and absorbability.

给出友拓扑线性空间的定义，证明它具有与普通拓扑线性空间相类似的性质，如平移不变性，均衡性，吸收性等。

Based on concepts of relative algebraic interior and relative topological interior of sets,some conditions assuring Ari+Bri in a linear space and conditions assuring riA+Bri in a linear topological space are given respectively,according to Tanaka and Kuroiwa' s conclusions.

根据Tanaka和Kuroiwa的结论，在集合相对代数内部和相对拓扑内部概念的基础上，分别讨论了线性空间中Ari+Bri和线性拓扑空间中riA+Bri成立的条件，从而将Tanaka和Kuroiwa关于内部的结论推广到了相对内部的情形

The relation between the rough sets and topological space is studied and topological space properties of rough sets on general relation are discussed.

研究了粗糙集和拓扑空间的关系。讨论了一般关系下粗糙集所诱导的拓扑空间的性质。

This new definition of compactness is identical to the general one. On the other hand, this new definition method simplify many concepts and conclusions in the topological space and clarify their nature character. Therefore, the compactness theory of the topological space is improved to a certain degree.

一方面，这种新的定义与一般的紧性定义是一致的；另一方面，这种新的定义方法简化了原有的概念和结论，使它们的本质特性更为清晰，因而在一定程度上发展了拓扑空间中原有的紧性理论。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。