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Gauss mipping is used to describe the bending of surface very visual,used to illustrate the geometric properties of Gauss curvature too.As the use of Gauss mipping image,we can discuss some surface's properties.

Gauss映射用来描述曲面的弯曲性非常直观,也用来说明高斯曲率的几何意义,利用高斯映射象的讨论可以探讨曲面的一些性质。

The notions of move generalized quasi-contractive mapping sequence respect to p and generalized Ishikawa-type iteration are introduced in p-convex metric space s.

在p-凸度量空间内,引入关于p的更广义拟压缩映射序列和广义Ish ikawa型迭代序列,证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点。

The author defines the lshikawa iteration process with errors for a sequence nonlinear generalized quasi contractive mapping in convex metric space s and prove that the iterative scheme converges to the unique common fixed point of the sequence of nonlinear generalized quasi contractive mapping.

在凸度量空间内,对非线性广义拟压缩映射序列定义了带误差的 lshikawa迭代序列,证明了带误差的 lshikawa迭代序列收敛于非线性广义拟压缩映射序列的唯一公共不动点。

The mapping between global schema, export schema and local schema is presented based on the model, which solves the problem of mapping between JIDM and relational data, XML files, object-oriented data model.

在该模型的基础上,介绍了全局模式、输出模式以及局部模式之间的映射关系,解决了JIDM模型与关系模型、XML文件以及面向对象模型之间的映射问题。

We introduce the relation between a Hamiltonian and a mapping, which is the base of the mapping method.

着重指出,一个合理的映射模型,应该保持原哈密顿系统的辛性质,因而映射必须是辛的。

Firstly, we recall some notions and results about space theory, including Hausdorff space, Hausdorff distance between sets , Baires category about sets and convex set. Secondly, the semi-continuity, closure, compactness of set-valued maps are introduced in set-valued analysis. Finally, essential point, essential set and essential component are introduced.

其中,空间理论及凸集的基本知识介绍了Hausdorff空间、集合间的Hausdorff距离、集合的Baire分类、以及凸集等四个方面;集值分析部分主要介绍单值映射的半连续性以及集值映射的半连续性、闭性和紧性;本质点、本质集和本质连通区部分主要介绍了本质点、本质集和本质连通区等有关概念和性质。

This paper characterizes all additive maps from Hermitian matrix space H_n to full matrix space M_n preserving inverses of matrices. It is shown that every additive map f:H_n→M_n preserving inverses of matrices is of the form f=eP~(-1)X~σP for all ?

本文刻画了所有从Hermite矩阵空间H_n到全矩阵空间M_n的保逆加法映射,证明了每一个保逆的加法映射f:H_n→M_n是f= eP~(-1)X~σP或者f= eP~(-1)~σP这种形式,?

It is proved that two sequences of Markov maps on the circle generated homeomorphic inverse limit spaces if each pair of the bounding maps with the same subscript are of the same Markov type with respect to a fixed arrangement of the two partitions.

证明了圆周上两个关于两组固定分点的Markov映射列在相同下标的两个约束映射总是关于两组分点的固定次序Markov同型的条件下生成同胚的逆极限空间。

If the dynamicmapping thus determined is continuous,the two topological spaces is said to be homeomorphic and their respective energy shellsdo have the same dynamic property of being subdividable into invariant subspaces according to the same set of quantum num-bers.

如果这样决定的动力学映射是连续的,它就是两个拓扑空间之间的同胚映射,而两个系统的能量壳有同样的动力学性质,即可以按同一套量子数划分不变子空间。

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。

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然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

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