查询词典 homeomorphism

By applying the tools such as modulus of curves and rings, together with Rohde s theorem, it proves that a homeomorphism is a bi Lipschitz map if and only if it satisfies a logarithmically absolute value inequality of rings.

运用曲线族的模和环模等工具，结合 Rohde定理，证明同胚为双 Lipschitz映射的充要条件是：它适合环的对数绝对值不等式；还得到了同胚为拟共形映射的一个充分条件。

In[5],combining the algebraic topology method,we have proven that conjunction matrix is complete topological invariant of bounded closed domain in plane under F-homeomorphism.so,for any two bounded closed domain in plane ?

主要原因在于拓扑不变量通常比较难算，没有比较实用的方法来恰当地提取图形的拓扑不变量，尤其是对较复杂的图形而言更是困难重重。

I_for every bounded closed domain in lane.Then we in- troduce the conception of F-homeomorphism for any two pictures in plane,and apply this conception to image recogni- tion.

从数学方法上看，现有图形识别方法多半是采用分析和概率相结合的方法，而描述图形本质特征的拓扑不变量却难以有效应用。

In this paper, we will discuss the existing condition of the periodic solution of Duffing type equation with damping term. We use homeomorphism and fixed point method to prove the periodic solutions existence. We try to loose its condition, analysis and then get the existing condition of periodic solution according to defining atmospheric dynamics equation.

本文中，我们探讨带阻尼项的Duffing型方程周期解的存在性条件，运用不动点方法和Leray-Schauder度理论来证明其存在周期解，尽可能放宽其约束条件，并针对具体的大气动力学方程，分析并求取其周期解的存在性条件。

Finally,as to an equicontinuous homeomorphism on a compact metric space,...

最后，针对紧致度量空间上的等度连续同胚，利用空间的极小性和紧致性，得到以空间中某有限个点的有限长轨道为中心，以ε2为半径的开邻域构成的有限子覆盖，并利用f的等度连续性，由该子覆盖构造出以空间任一点的有限长轨道为中心的开邻域所作成的有限子覆盖，进而得到所要结论。

Let be a homeomorphism, the following statements were obtained: if is distal and has POTP ,then does not have the average shadowing property; if is equicontinuous and has the average shadowing property, then f is minimal; let :X→X be distal and chaintransitive, then does not have POTP; is distal if and only if is distal.

设是个同胚映射，得到了如下结果：若有POTP且是distal的，则不具有平均跟踪性；若有平均跟踪性且是等度连续的，则是极小的；若是distal的且是链可迁的，则不具有POTP；是distal的当且仅当是distal的。

Minimality ; minimal set ; compact metric space ; open cover ; equicontinuous homeomorphism

极小性；极小集；紧致度量空间；开覆盖；等度连续同胚

It is proved that if a homeomorphism f on a compact metric space with the POTP is distal homeomorphism, then f does not have the average shadowing property.

证明了紧致度量空间中有伪轨跟踪的distal同胚不具有平均跟踪性，并给出了有平均跟踪性的同胚是极小的一个充分条件。

On the basis of the definition of the extraordinary Radon transform, the theory of rebuilding image from extraordinary Radon transform result is proposed, and some category such as image structure notation, topology of image structure notation and topological space, homeomorphism in topological space, equivalence of homeomorphism relation, topological constant of image structure notation.

与现有的基于区域内部或外形变换的形状分析方法相比，在理论方法上本质不同的是，本文提出的广义Radon变换，直接将原始的图象数据影射到特征空间，给出图象构图特征的描述，给出了可以用来进行图象检索或图象识别的结构特征谱。

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 one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。