同拓扑

基本解释 (translations)

homoeomorphism

与同拓扑相关的网络例句 [注：此内容来源于网络，仅供参考]

Next,it proves that if E is a barrelled space and F〓 is a locally convex space,Kis all the compact operators of L,then the weak operator topology and the uniformly operator topology have the same sub-series convergence series in Kif and only if 〓 contains no copyof 〓.

其次又得到，若E是桶型空间，〓是局部凸空间，那么紧算子空间K中弱算子拓扑与一致算子拓扑具有相同子级数收敛的充要条件是〓不拓扑同胚地包含〓。

The interrelationship between several basic categories in fuzzy topology is made clear in terms of co-tower extension of topological constructs. It is shown that for ever completely distributive lattice L,the the category of L-fuzzifying topological spaces is isomorphic to the cotower extension of the category of topological spaces, and it can be embbedded in the category of L-topological spaces as a simultaneously reflective and coreflective subcategory.

用拓扑范畴的co-tower扩张的概念厘清了不分明拓扑中若干基本范畴之间的关系，证明了对任意完全分配格L， L-模糊化拓扑空间范畴同构于拓扑空间范畴的co-tower扩张，并且可作为一同时反射余反射子范畴嵌入L-拓扑空间范畴中。

By decomposing each polygon into a set of several individual convex sub-polygons and constructing the map between the two sets, this method can solve the metamorphosis problem of two polygons which have not same topology(including concave polygon and holey polygon).

解决了任意非同拓扑结构的变形问题。

Virtual surface decompose eighth sphere to four volumes that topologies are same with hexahedral volume.

根据球体的几何特征将八分之一球体剖分成四个和六面体同拓扑的几何体。

It is proved that each separated L-fuzzy locally convex topological vector space is linearly homeomorphic to a projective limit of a family of L-fuzzy normed spaces.

考察了格值模糊拓扑线性空间中归纳拓扑的若干性质，得到了由单一fuzzy线性序同态确定的归纳拓扑的远域基刻画。

In the last chapter, on the basis of theories in paper [4, 5], the notions of strong mixing, weak mixing, generator and expansion of the variable-parametric dynamical system are introduced, it turns out that in variable-parametric dynamical system strong mixing implies weak mixing and then implies transitivity; it is proved that if and both are variable-parametric dynamical system, F conjugates with G , the members of F are communicate with each other and the members of G are also communicate with each other, what's more, they are both homeomorphism, then F is strong mixing implies G has the same properties; futhermore, we prove that F is strong mixing implies F Devaney chaos in the sense of modification in variable-parametric dynamical system and that F Devaney chaos in the sense of modification if and only if G Devaney chaos in the sense of modification when semi-conjugate with and they both are communicate and homeomorphism; at last, we illustrate that F has generator if and only if it has weak generator, and we also prove that if F is expansion, then F has generator.

在第三章中，我们在文[4，5]的基础上，提出了变参数动力系统拓扑强混合、拓扑弱混合以及变参数动力系统的生成子、扩张的概念；证明了变参数动力系统拓扑强混合蕴含拓扑弱混合，进而蕴含拓扑传递；证明了：如果，为两个变参数动力系统，F与G拓扑半共轭，且F两两可交换，G两两可交换，它们均为同胚映射，那么F拓扑强混合，则G也有同样的性质；本章还证明了变参数动力系统拓扑强混合蕴含F在修改的意义下Devaney混沌；在此基础上得出了：如果变参数动力系统与变参数动力系统拓扑半共轭，它们都两两可交换，并且它们均为同胚映射，那么F在修改的意义下Devaney混沌当且仅当G在修改的意义下Devaney混沌；得出了F有生成子当且仅当F有弱生成子；如果F是扩张的，则F有生成子。

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。

In condensed matter physics,we present an analyticaltopological current theory of point defects which unifies the topologicalquantization,homotopic classification and evolution of defects in oneframework.The number of possible branch lines is shown to be 2s once atmost at the bifurcation point of order parameter with degeneracy s and thetopological charge is conserved during bifurcation processes.

论文在凝聚态物理中给出了缺陷解析的拓扑流理论，将缺陷的拓扑量子化，同伦分类和演化统一在一个框架之内，并证明了在序参量退化度为s的分岔点，缺陷分岔数目最多为2的s次方，而且在分岔过程中拓扑荷是守恒的。

In order to indicate the difference in the molecular structures,the reduced topological index is defined,which is the ratio of the topological index of a molecule and that of the n...

为更突出地表达分子间的结构差异，定义了对比拓扑指数，即烷烃分子的拓扑指数与同碳数正构烷烃的拓扑指数之比。

This paper presents a novel image retargeting method using saliency-based mesh parameterization. Specifically, this paper formulates retargeting an image to desired size as a constrained mesh parameterization problem which aims at finding a homomorphous target mesh with desired size.

提出一种全新的基于网格参数化的图像适应方法，该方法的关键在于把图像表示为特征网格，从而将图像适应问题转化为网格的参数化，即求取一个与该特征网格同拓扑，且具有目标屏幕尺寸的网格。

与同拓扑相关的网络解释 [注：此内容来源于网络，仅供参考]

topological homeomorphism：拓扑同胚

topological group 拓扑群 | topological homeomorphism 拓扑同胚 | topological index 拓扑指数

topological homeomorphism：拓扑同构

拓扑不变:Topological invariable | 拓扑构造:topological configuration | 拓扑同构:Topological homeomorphism

induced topology：诱导拓扑

induced homomorphism 导出同态 | induced topology 诱导拓扑 | induction 归纳

topological irreducibility：拓扑不可约性

topological invariant subgroup 扑拓不变子群 | topological irreducibility 拓扑不可约性 | topological isomorphic 拓扑同构的

data topological homeomorphism transform：数据拓扑同胚变换

可视化拓扑结构图输入:Visible topological structure picture input | 数据拓扑同胚变换:data topological homeomorphism transform | 拓扑相位干涉效应:topological phase interference effects

topological manifold：拓扑廖

topological linear space 拓扑线性空间 | topological manifold 拓扑廖 | topological mapping 拓扑同胚

topological mapping：拓扑同胚

topological manifold 拓扑廖 | topological mapping 拓扑同胚 | topological pair 拓扑偶

topological pair：拓扑偶

topological mapping 拓扑同胚 | topological pair 拓扑偶 | topological polyhedron 曲多面体

direct product of topological groups：拓扑群的直积

拓扑群的投射系|projective system of topological groups | 拓扑群的直积|direct product of topological groups | 拓扑群同构|isomorphism of topological groups

Visible topological structure picture input：可视化拓扑结构图输入

加权量子拓扑指数:Weighted Quantum Topological Index | 可视化拓扑结构图输入:Visible topological structure picture input | 数据拓扑同胚变换:data topological homeomorphism transform