基础拓扑

With respect to syntax, the roles of tagmeme in the structure of word and sentence and Chomsky's Generative-Transformational Grammar are discussed. The spatial relation theory and existing research achievements are investigated. Having noticed the shortage of the capability of topological and metrical relation in the description of spatial information structure, the author proposes Combinational Qualitative Geometry based on the two invariables under ordinary transformations, distance ratio and direction difference, the CQG-based spatial relation system between topological and metrical constraint is thus constructed, on which several spatial relations such as parallel, perpendicularity, co-linearity, sequence and direct neighborhood are derived. Based on extended theory of spatial relation, the language anamorphosis is analyzed from the aspects of phonetics, semantics and syntax. The mere geometric and formalized spatial relation is then integrated with concrete geographic ontology to accommodate richer and indicative spatial configuration of spatial information in the different geographic context. Finally a syntax framework for spatial information is put forward.

在语法结构方面，首先阐述了法位和法素在语法结构词法和句法中的地位和作用，以及Chomsky生成转换语法的核心内容；详细介绍了地理信息系统空间关系理论及现有的研究成果；在分析现有的拓扑关系和量度关系对空间信息结构描述能力不足的基础上，提出了基于长度比和角度差两个不变量的组合定性几何，以此建立了介于拓扑及量度约束之间的组合定性关系体系，并以此为基础派生出平行、垂直、共线、次序、直接邻近等空间关系描述；本文基于扩展的空间关系理论，详细讨论了空间关系在语音、语法和语义三个方面的语言变体，将纯几何和纯形式化的空间关系与具体的地理本体结合起来，可以获得更为丰富的、更能反映空间关系在不同语言上下文中具体体现的组合关系；最后给出了一个空间信息的语法结构的基本框架。

The theoretical system for describing the structures of organic and drug molecules using 3 types of molecular electronegativity-distance is created based on various atomic types and atomic attributes. These MEDVs include MEDV-4 based on 4 atomic types and relative electronegativity and relative bond length to carbon atom, and molecular holographic distance vector based on 13 atomic types and relative bond length to carbon atom, and MEDV-13 based on 13 atomic types and atomic attributes and the modified electrotopological state index.

通过不同原子类型与原子属性划分方案，创建了3种形式的分子电性距离矢量即以4种原子类型划分方案和以碳原子为标准的相对电负性与相对键长为基础的分子电性距离矢量MEDV-4、以13种原子类型划分方案和相对键长为基础的全息分子距离矢量MHDV、以13种原子类型与43种原子属性划分方案以及修饰的电拓扑状态指数和拓扑距离为基础的分子电性距离矢量MEDV-13等3种矢量描述子表征分子结构的理论体系。

This thesis focuses on the network topology discovery of Network Management System.

本论文以上海市政府公众网项目"安全网络管理技术的研究与实现"课题为研究基础，对网络管理技术和网络拓扑发现技术进行了深入研究，在此基础上提出了本课题研究的网络拓扑发现系统结构，并对整个系统中各模块的功能结构进行了定义。

Based on data cloud, which is measured from 3-coordinate measuring machine or so, an algorithm to search lopological structure from 3D unorganized points using Envelopment-box technology is proposed in this thesis. Based on this method, we searching neighbor points of sampling point. We also improve the Max-Min angle criteria to realize local triangulation, and then get the normal of sampling point from the triangulation. Using the normal and neighbor relationship, classification of scattered data points is realized according to the quadric surface.

本文以测量得到的曲面数据点点云为基础，提出了一种基于包围盒的自动寻找三维散乱数据点之间拓扑结构的方法，采用该方法寻找采样点的邻域结点，并对三角剖分中的典型优化准则—最小内角最大准则提出了改进，按照改进后的优化准则实现了采样点的局部三角划分，并进一步求解得到采样点的法向量，依据法向量及邻域拓扑关系在二次曲面的基础上实现了散乱数据曲面重构中的数据点的自动分类。

ABSTRACT Topology and routing optimization is the substratum of the optimization in communication networks.

拓扑结构和路由优化是通信网络优化的基础，其他的优化功能，如：流量控制、资源管理都是在拓扑结构和路由优化的基础上实现的。

A new group of autocorrelation topological index (At、Bt、Ct and Dt) was designed and developed based on the vertex degree of molecular topology and autocorrelation function of mathematics. The autocorrelation functions were calculated from the square root of the vertex degree、modified vertex degree and their combination, that is d i、、 and . The matrix description method and the algorithm of computer software have been developed for the new topological index calculation.

针对目前自相关拓扑指数的计算完全依赖于实验参数而存在的问题，以分子拓扑学点价和自相关函数研究为基础，将点价、修正点价及其组合：、、、的平方根分别作为自相关函数中的f，设计开发出一组新的以点价计算为基础的自相关拓扑指数At、Bt、Ct和Dt。

In terms of the topological invariant in Riemann-Cartan spacetime proposed by Prof. Duan and the φ-mapping topological current theory, we gave the cosmic strings with the complex scalar field and showed that the strings appear in the zeroes of the scalar field. Meanwhile one can find that the length of cosmic strings is quantized in the topological level and the quantum number is determined by Hopf indices and Brouwer degrees.

以段一士教授提出的Riemann-Cartan流形中的新拓扑不变量为基础研究了宇宙弦的拓扑结构，指出宇宙弦只能存在于复标量场的零点处，而且在拓扑层面上是量子化的，而该量子数决定于Hopf指数和Brouwer度。

Secondly,as an application ofφ-mapping topological current the-ory,the vortices in TDGL model have been studied.Some importantartificial hyperthesises in other theories have been changed into naturalresults ofφ-mapping topological current theory.The inner structureof vortices system in the TDGL model has been obtained in terms oforder parameter field.For the first time,the branch process of thevortex system in the TDGL model have been discussed.

其次，作为Ф-映射拓扑流理论的重要应用，本文研究了TDGL模型的vortex动力学，对过去该模型中的一些人为假设给予了合理而严格的理论基础，用序参数的Hopf指数和Srouwer度表征了拓扑荷，建立了该系统拓扑性质的新理论，并首次探讨了TDGL模型中的vortex的分岔过程。

Then defined the tasks on network layer, such as topology management, short address management and routing. Secondly, this paper designed the functionality of different nodes and the state machine, implemented beaconed tree mode topology and the corresponding routing protocol.

其次，本文在讨论的基础上定义了树状拓扑中各类节点的基本协议行为，给出了各类节点的状态机，实现了树状拓扑中基于Beacon技术的树状路由协议；在Mesh拓扑的设计中，本文采用了Non-Beacon模式，同样根据节点的功能进行了分类，最终在Router~2节点上实现了改进之后的AODV路由协议。

Based on the profound analysis for representation and reasoning of qualitative spatial relations, this paper proceeds with some originality innovation researches as follows:(1) Representation of spatial topological relations Based on the point-set topology and ontology, representation methods for spatial topological relations are researched.

在对定性空间关系表示与推理进行深入分析的基础上，本文进行了以下几方面的创新性研究：(1)空间拓扑关系表示以点集拓扑学和本体论为基础，研究了空间拓扑关系表示方法。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。