等价度量

In the last section of this chapter, we discuss the relation between flow equivalence and continuous flow equivalence for flows on a compact metric space.

在本章的最后，我们讨论了一般紧致度量空间上的流的流等价与连续流等价的关系。

The method evaluates relative similarity relation to each object to form initial equivalence relation,and the equivalence class is developed.

引入等价关系隶属度因子γ，用于度量等价关系间隶属关系，作为聚类过程一个有效参数，控制聚类的规模。

Based on the method of similarity measure, it proves that the equivalence relation of rough set can be transformed into fuzzy equivalence matrix comp.

在这种相似性度量方法基础上，证明了粗集的等价关系可以被转化为模糊等价矩阵。

We give an equivalent characterization of the metric D〓 and investigate the properties of the sendgraph of fuzzy numbers.

给出了模糊数空间上D〓度量的等价刻画，讨论了模糊数的send-图性质。

In this paper, we give a section theorem of Ky Fan type and its equivalent theorem in hyperconvex metric spaces, and as their applications we obtain some minimax theorems and a coincidence theorem.

赵云河 ，张惠丽文章给出了超凸度量空间中的一个Ky Fan型截口定理及其等价定理，作为它们的应用，得到了一些极大极小定理和一个重合定理。

Chapter 3, in the above system, gives out the definitions of topological new transitivity, topological transitivity, topological strong transitivity and topological conjugate of a sequence of maps, studies basic properties of the above topological conjugate, and obtains some main results, proves topological new transitivity and topological transitivity are equivalent u-under a compact metric space, a sequence of full maps and interchangeable with each other, and that some conclusions associated with topological conjugate.

第三章，在上述系统中给出了一列映射的拓扑新传递、拓扑传递、拓扑强传递和拓扑共轭的定义；研究了一列映射的拓扑共轭的基本性质，得到了一些主要结果；证明了在底空间是紧致度量空间、一列映射是满映射并且两两可交换的条件下拓扑新传递和拓扑传递是等价的；还证明了几个与拓扑共轭相关的结论。

In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论，在由Loeb测度空间导出度量空间的基础上，由内有限可加测度空间导出了度量空间，并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系，在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里，我们首先简单介绍了非标准分析的产生、发展及研究现状，接着给出了非标准分析的理论基础以及公理化的非标准分析，进而讨论了非标准模型和饱和模型，并给出了非标准模型的一些性质和饱和模型的若干等价条件。

Firstly, the equivalency of case deletion model and mean-shift outlier model is investigated; and several diagnostic measures, such as Cook distance, generalized leverage, residuals, and likelihood ratio statistics et al., are obtained. Secondly, we investigate the local influence for the models, several commonly-used perturbed models are studied, and the close forms of influence matrices are obtained. At last, a real example illustrates that our method is available.

首先，证明了均值漂移模型与删除模型的等价性，并得到了残差、Cook距离，似然比统计量等诊断统计量；其次研究了该模型的局部影响分析，得到了局部影响分析的曲率度量；并分别对常见的扰动模型进行分析，得到了计算影响矩阵的简洁公式；然后，通过实例验证了方法的可行性。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

In this paper,some equivalence properties of one-valued selection under the set-valued mapping is introduced and give a sufficient and necessary condition of set-valued mapping being a metric projection.

介绍了集值映射的单值选择的几个等价性质，并给出了集值映射成为度量投影的一个充要条件。结果将度量投影情形推广到了集值度量投影情形

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了