拓扑学

拓扑学在Domain理论中的应用

Applications of Topology to Domain Theory

DNA的弯曲及其拓扑学

DNA bending and DNA topology

本文主要讨论Fuzzy滤子的收敛理论，将一般拓扑学中滤子收敛方面的结果几乎全部推广到Fuzzy拓扑学中。

The paper explores the theory of the convergence of fuzzy filter , extends most of results of filter convergence in general topology .

给出了本文所建立的完备格的关系表示理论在Domain理论、格论和拓扑学中的若干应用。

Some applications of the relational repersentation theory of completer lattices in Domain theory , lattice theory and topology are given .

晶粒棱长、尺寸与拓扑学特征之间关系的MonteCarlo仿真研究

Study on the relation among grain edge length , grain size and topology with Monte Carlo simulation

以C++builder6.0为运行环境，采用蒙特卡罗模型（MC），研究了单一相晶粒长大动力学的动态过程和材料微观组织拓扑学上的变化。

Base on the c + + builder 6.0 , Studied the gain growth of single phase by employing the Monte Carlo method .

S.莱夫谢茨是拓扑学的先驱，拓扑学是普林斯顿数学系的核心，也是现代数学的重要进展。

S. Lefschetz was a pioneer in topology , which was at the centre of Princeton mathematics , and indeed a principal growth point of modern mathematics ,

在第二章中，研究二次多项式z~2+cn生成的随机复动力系统的Julia集的拓扑学性质，解决了R。

In chapter 2 , we study topological properties of Julia sets for the random dynamical system generated by z2 + cn and answer a question posed by R.

Raney定理，给出完全分配格新的刻划.为连续格理论和Fuzzy拓扑学的研究提供一些新的思路。

Raney theorem , gives new descriptions on completely allocated lattice , and puts forward some new ideas for the research of continuous lattice and fuzzy topology .

采用TEV酶法进行整合膜蛋白拓扑学分析

Topology Analysis of Integral Membrane Proteins by Using TEV Protease

运用MC法模拟了晶粒生长的动力学过程及材料微观组织拓扑学上的变化；

Grain size and distribution were predicted , and then kinetic process of grain growth and topology changes of material microstructure was simulated by MC method .

在GO-空间中，不仅给一般拓扑学提供了精彩丰富的例证，而且架设了一般拓扑学和相关数学分支的桥梁，如格论、Domain理论、图论及实数理论等等。

Not only does GO-space provide rich examples , but also GO-space buildes a bridge between general topology and related mathematics branches , such as Lattics theory , Domain theory , Graph theory , Real number theory , etc.

卤代烷烃lgS和lgK（ow）的拓扑学研究

Topological research on the lgS_w and lgK_ ( ow ) of halogenated hydrocarbons

你想使用的方法，实际上是一个拓扑学的定理，你不能找到一个不与z轴相交的，且以这个圆盘为界的曲面。

So , the matter what kind of trick you might want to use , it 's actually a theorem in topology that you cannot find a surface bounded by this disk without intersecting the z axis .

在网络拓扑学中要研究由矩阵实现为图的问题，通过对基本回路矩阵Bf中各树支关联的单连支回路数性质的研究，提出了实现线形树的一种算法。

The problem forming matrix into graph in network topology is researched . This paper presents a algorithm of realizing linear tree in terms of researching the property of the number of one link ciruit through every tree branch in fundamental circuit matrix B f .

电磁拓扑学（EMT）在20世纪70年代中期由美国的C.E.Baum等人提出，主要用来防止高功率电磁脉冲（EMP）对现代电子系统的干扰和破坏。

Electromagnetic Topology ( EMT ) was raised by the United States ' C.E. Baum in the mid-1970s , which was primarily used to prevent high-power electromagnetic pulse ( EMP ) from disturbing and damaging modern electronic systems .

突变理论（CatastropheTheorv）是法国数学家RenèThom于20世纪60年代提出的一种拓扑学理论，能直接处理不连续性的问题，特别适用于内部作用机理未知系统的研究。

French mathematician Rene Thom presented catastrophe theory , which is one kind topology theory , in twenty century . Catastrophe theory can directly deal with discontinuity problems , especially applicable to research such system that its inside behavior mechanism is unknown .

本文给出了联系拓扑分子格理论的两类特殊的Boole代数，进而从拓扑学的角度，对A。

This paper enumerates two special classes of Boole algebras related to the theory of topological molecular Lattices , and then , from the viewpoint of topology , expands slightly the representation theorem on atomic Boole algebra which was first proved by A.

根据我们在〔1〕，〔2〕中提出的状态空间和旋转映射图（RMG）概念，利用拓扑学的技术，本文提供一个研究连通性（即RMG的拓扑结构）的新方法。

According to the concepts of state space , rotation map graph ( RMG ) discussed in 〔 1 〕,〔 2 〕, a new method for investigating the connectivity ofRMG ( or topologic structure of RMG ) is presented by using topologic technique .

论文中采用的定量结构-性质/活性相关模型和结构描述符包括：线性溶剂化能相关模型（LSER）、量子化学参数、拓扑学参数如分子连接性指数和边邻接指数。

The quantitative structure-activity relationship methods and structure descriptors included in this thesis are Hansch method , linear solvation energy relationship ( LSER ), quantum chemical parameters , topological indices such as molecular connectivity indices and edge-adjacency index .

自从1945年MacLane与Eilenberg提出范畴的概念和理论以来，它在数学的许多分支，例如代数几何学、拓扑学、微分几何学以及函数理论中均已有所应用。

In 1945 MacLane and Eilenberg introduced the concept and theories of categories , which have played a role in many branches of mathematics such as algebraic geometry , topology , differential geometry and functional theories .

从一个完全不同的方向发展了模糊拓扑，进而从一个新的方向建立了不同于人们所熟知的模糊拓扑学的I-fuzzy拓扑学的基本框架。

The primary studies in this paper are the following : ( 1 ) We develop fuzzy topology from a new direction with the semantic method of continuous-valued logic and thereby establish a fundamental framework about I - fuzzy topology which is different from the existing fuzzy topology .

吴文俊&从拓扑学到数学机械化

Wu Wen - tsun , From Topology to Mathematics - Mechanization

关于连通在图论与拓扑学中的关系研究

Research the Relationship of Connectivity between the Graph and the Topology

取代芳香族化合物生物活性的拓扑学

The connectivity topological research on the bioactivity of substituted aromatic compounds

取代苯酚和取代苯甲酸生物降解性的拓扑学

Topological Study of the Biodegradability of Substituted Phenols and Benzoic Acids

这有点进入拓扑学了。

See , this is kind of topology in a way .

酯类气体粘度的拓扑学研究

The connectivity topological research on the viscosity of esters gas

大鼠表皮角化细胞增殖活性的拓扑学特点

Topographic characteristics of the proliferation activity of keratinocytes in epidermis of rats

学生需要对交换代数和基本拓扑学有一定的了解。

Students should have some familiarity with commutative algebra and basic topology .