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In this thesis,we mainly study complete noncompact Riemannian manifolds with Ricci curvature bounded from below. We study the topology of these manifolds via comparisonal geometry methods.In chapter 1 ,we will make a general description on the recent researches in our field.

在本文中,我们主要研究了Ricci曲率有下界完备非紧的Riemann流形的拓扑问题,在比较几何的基础上研究了有特定曲率条件的Riemann流形的拓扑,得到了有关其拓扑结构的一些结果。

In this dissertation, we have prepared 15 new MOFs by using different organic carboxylate ligands, and analyzed their topology structures as well as explored their multifunctional properties.

本论文依据晶体工程学原理,从金属有机骨架晶体材料的功能性出发,主要研究这类化合物的合成、拓扑结构和多功能性质,旨在探索金属有机骨架晶体材料的结构多样性;并在结构研究的基础上,开发新型次级结构单元以及具有新颖拓扑结构的金属有机骨架晶体材料的设计合成与性质应用。

A new universal hybrid topology is brought forward. Two types multilevel inverter: equal DC voltage and DC voltage in geometric proportion is studied, besides this, simulation and experiments on SVPWM applied on cascaded H-bridge inverter is also studied.

提出了多电平逆变器的一种通用组合拓扑结构,针对这种拓扑结构重点,研究了直流侧电压相同及等比变化的两类级联拓扑以及级联H桥逆变器的矢量控制方法;并对级联H桥逆变器的矢量控制方法做了实验研究。

We prove that in every induced locally compact 〓fuzzy topological groupthere exist at least one regular fuzzy set-valued Haar measure.We define the fuzzymeasurable group and prove that the fuzzy set-valued Haar measure in a fuzzymeasurable group is essentially unique.We also construct the fuzzy topologicalstructure on a group by the fuzzy set-valued measure such that make it a fuzzytopological group.

证明了诱导局部紧〓模糊拓扑群上存在模糊集值Haar测度,定义了模糊可测群,通过对模糊可测群的研究证明了诱导局部紧〓模糊拓扑群上的模糊集值Haar测度本质上的唯一性,并利用模糊可测群上的模糊集值测度构造了群上的模糊拓扑结构使之成为模糊拓扑群。

This article discusses two types of clustered network topology: homogeny cluster head hierarchical topology and heterogeneous cluster head hierarchical topology.

本文讨论了两种拓扑结构:簇头异构的分簇式网络拓扑结构和簇头同构的分簇式网络拓扑结构

Based on the outcome of Xu Yang and Qin Keyun about lattice implication algebra and lattice-valued prepositional logic LP with truth-value in a lattice implication algebra, the author studied the properties of lattice implication algebra and the α-automated reasoning method based on α-resolution principle of LP. The specific contents are as follows: The Study of Lattice Implication Algebra On the basis of previous results of lattice implication algebra, this part consists of the following three points: 1. Some properties of lattice implication algebra L were discussed, and some important results were given if L was a complete lattice implication algebra. 2. The properties of left idempotent elements of lattice implication algebras were discussed, and the conclusion that lattice implication algebra L was equals of the directed sum of the range and dual kernel of a left map constructed by a left idempotent element was proved. 3. The properties of the filters of lattice implication algebra were discussed, the theorem was shown that they satisfy the hypothetical syllogism and substitute theorem of the propositional logic. 4. The concept of weak niters of lattice implication algebras and their properties and structures are discussed. It is proved that all weak filters of a lattice implication algebra form a topology and the the implication isomorphism betweem two lattice implication algebras is a topological mapping between their topological spaces. The Study of α-automated reasoning method based on the lattice-valued propositional logic LP In this part, the author given an a-automated reasoning method based on the lattice-valued propositional logic LP.

本文基于徐扬和秦克云的关于格蕴涵代数和以格蕴涵代数为真值域的格值命题逻辑系统LP的研究工作,对格蕴涵代数以及格值命题逻辑系统LP中基于α-归结原理的自动推理方法进行了系统深入的研究,主要有以下两方面的研究成果:一、关于格蕴涵代数的研究 1、对格蕴涵代数的格论性质进行了研究,得到了当L为完备格蕴涵代数时,关于∨,∧,→运算的一些结果; 2、对格蕴涵代数的左幂等元进行了研究,证明了格蕴涵代数L可以分解为任何一个左幂等元所对应的左映射的像集合与其对偶核的直和; 3、对格蕴涵代数的滤子的性质进行了研究,证明了滤子的结构相似于逻辑学中的Hypothetical syllogism规则和替换定理; 4、给出了格蕴涵代数中弱滤子的概念,对弱滤子的性质个结构进行了研究,证明了格蕴涵代数的全体弱滤子构成一个拓扑结构,格蕴涵代数之间的蕴涵同构是相应的拓扑空间之间的拓扑映射。

In this paper, typical physical topology and its characteristics of low-voltage network are analyzed in detail, topology model of power line communication over low-voltage network is given for simulation, and the means based on Ant Colony Optimization is put forward, which is used to construct the power line communication networks without any available information of power line wiring in a building On the basis of these, the effect and anti-destruction means are analyzed and tested by emulating experiments.

该文详细地分析了典型低压配电网物理拓扑结构和特点,给出了低压配电网通信仿真拓扑模型,提出了一种适用于未知建筑物电力线拓扑结构条件下的蚁群电力线组网方法;在此基础上,通过仿真试验验证了该组网路由算法的有效性和抗毁性。

And this paper makes use of SQL Server 2005 to realize the topological structure of rural power distribution network.

摘 要:本文在分析农村配电网络拓扑结构的基础上,结合GIS的数据特点,采用面向对象的方法分析了网络元件的拓扑关系,并用SQL Server 2005设计实现了农村配电网络的拓扑结构

Some people introduce subphotosphere magnetic charges or dipole, which can fit magnetic field on the photosphere, then the separatrix and separator above and on the photosphere can be located, the comparison between their location and location of flare ribbon support the idea of magnetic reconnection. It is called Source Method. Some people extrapolate magnetic fields of photosphere to corona by some method, then use QSLs method to investigate the relations between flare ribbons and magnetic field topology. Some people study relations between flare ribbons and singular point on the plane above photosphere. Some people investigate magnetic topology by analyzing magnetic field of photosphere directly.

或者以观测的光球磁场为基础,来构造光球下的磁荷或磁偶极等光球下磁源,进而研究光球上的磁拓扑结构与耀斑的关系;或者利用各种外推方法将光球磁场进行外推,然后用准分隔层的方法来研究磁拓扑结构与耀斑的关系;或者利用势场模型外推光球磁场,然后研究光球之上平行于光球的某一平面的两维奇点与耀斑的关系;或者直接利用观测的光球矢量场来研究磁场拓扑。

The topologic architecture of metazoan trace fossils may be subdivided into 3 clusters, 8 basic topologic configurations, 3 combined topologic configurations and 21 topoichnologic kinds, which are considered to be related to ethologic classifications of trace fossils in origin.

后生动物遗迹的拓扑结构可归并为3 族、8 种基本拓扑型、3 种组合拓扑型和21 种拓扑遗迹类,它们与习性类有较好的成因联系。

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