空间

In those well-formed geometric structures, not only does the scripture express its mystery and the beauty of cutting, but it stands for the symbol of Buddhism. There are numerous works demonstrate this statement, such as "Ark of Dream,""Scriptures,""Pilgrimage of Buddhist Scriptures,""Spiral Scriptures,""Floating,""Pipal,""Big Spiral Scriptures,""Golden Mandala." Besides from placing scripture and leather into fine spatial arrangement, Huang Gang fills the golden background with dark brown dripping technique or paints a large red star. The red star series, which is combined and abstracted from China's interpretation for red, has a particular meaning.

在有规律的几何形式构成画面之中，除了倾心展现经版的刀笔之美、经文的神秘意味，经版始终是菩提灵性的表征符号，而不仅仅是一种简洁的对象，例如《梦之舟》、《佛经》、《朝经之路》、《转经》、《行云流水》、《菩提树》、《大转经》、《金色的曼陀罗》等，进一步地，在空间表现上，在经版或皮革构成的实体空间之外，其非实体空间恰当地运用了书写性和涂绘性的表现主义语言风格，在经版的金黄色域背景上涂绘、滴沥黑褐色，有的则间以大漆涂刷那些红星。

This dissertation summarizes all kinds of topological relationships and spatial operations, and uses the conception realms to design the data structure of spatial region objects, and devises the red、blue planar graph algorithm, and makes use of red and blue sweep-line algorithm to implement the spatial topological analysis operations on layers of region objects. At the end, further works and improvements are presented.

本文 对空间拓扑分析操作进行了归纳总结，并且基于 Realms 概念探讨了空间区域对象的数据结构以及红蓝区域平面图算法，文章详细讨论了针对双层红蓝区域对象的各种空间拓扑分析算法的实现，最后是该类问题的进一步改进和构想。

The paper discuss about the space curve and plane curve, and introduce the basic concept and the relations of them which we use to solve problem.

介绍了空间曲线和平面曲线的基本概念，空间曲线和平面曲线的关系，利用空间曲线与平面曲线的关系解题。

This paper designs the architecture of this platform. According to the scale of ocean spatial data in the platform, it presents two organizing spatial data model-data file model and relational database model, and gives each of them storage mechanism accordingly.

论文设计了海洋空间信息服务平台的体系结构，根据平台中海洋空间数据的规模，提出了两种空间数据存储模式，即数据文件集模式和关系数据库模式，并分别给出了相应的存取机制。

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1，1)到经典实半单Lie群的调和映照的具体构造，并给出其显式表示；其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面，将这些映照所满足的几何条件转化为可积系统，然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造；最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

In the first part of this paper, we give some basic concepts of regular Sturm-Liouville problems and some Sturm-Liouville problems with eigenparameter in the boundary conditions and the definition and properties of the Krein space. Using the Krein space, we describe a class of Sturm-Liouville problems with eigenparameter in two boundary conditions and prove that it can generate a self-adjoint operator in Krein space with only point spectrum.

第一部分我们介绍了一些基本概念如正则Sturm-Liouville问题、边界条件含参数的问题、Krein空间等，并利用Krein空间的定义和性质描述了一类参数边界条件的Sturm-Liouville问题，证明它可构造一Krein空间上的自伴算子，并且谱全为点谱。

In China, there is room for the traditional brush drawing. There is room for monochrome and polychrome. There is room for everything, as there is in New York.

在中国，传统的笔墨绘画有很大空间，也有单色绘画和多色绘画的空间，也有一切事情的空间，就像纽约一样。

InChina, there is room for the traditional brush drawing. There is room for monochrome and polychrome. There is room for everything, as there is inNew York.

在中国，传统的笔墨绘画有很大空间，也有单色绘画和多色绘画的空间，也有一切事情的空间，就像纽约一样。

Different types of architecture require different portico space s, which are illustrated as different spatial contents.

门厅空间是连接建筑室内外的节点，是建筑中最生动最活跃的空间之一，是建筑空间性格的集中体现。

The method uses techniques such as document space transforming and principal component analysis to map original document vector in very-high-dimension term space to low-dimension principal component space, and then categorizes documents by comparing them to the centroid of each category.

该方法采用了文档空间变换和主成分分析技术，将文档的原始矢量表示从高维词条空间映射到低维主成分空间，并利用文档类别重心进行分类。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新