度量

In chapter 5,we introduce the De Morgan algebra of metric and investigate the pseudo-metric Uniformity and the pseudo-metric topology and the separation axioms in De Morganalgebra of metric.We establish the Baire category theorem and the Banach contraction theo-rem,the Edelstein contraction theorem and other fixed quasi-atom theorems in De Morganalgebra of metric.In final,we give a sufficient condition for the metrization of a De Morganalgebra of topology.

在第五章里，我们地德摩根代数中引进了伪度量，探讨了伪度量一致和伪度量拓扑以及德摩根度量代数的分离公理，得到了Baire范畴定理、Banach收缩定理、Edelstein收缩定理以及其它不动拟原子定理，最后给出一个德摩根拓扑代数可度量化的充分条件。

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。

The concept of G unit interval and the definition of separable degree between elements on G unit interval are given, and some properties are discussed. Based on this concept, it determined a metric p, and ([0, 1], p) becomes a metric space (It is called G unit logical metric space). In this paper, the properties and structure of G unit logical metric space are discussed in detail, and get some good results.

给出了G单位区间[0， 1]的定义并在其上引入了元素间的可分度的概念，讨论了其基本性质，并在此定义的基础上确定了一个度量P，从而([0， 1]， p)成为一个度量空间（文中称"G单位逻辑度量空间"），并对G单位逻辑度量空间的性质及其结构进行了详尽的讨论，并得到一些好的结果。

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。

The methods to measure similarity between XML documents, such as set measure, linear measure and cost measure, are given.

给出规范化XML文档相似性度量方法——集合度量方法、线性度量方法和代价度量方法。

The measurement in set theory, the properties of Metric Space, Measurement Topology, Measurable Space, Perfect Metric Space and its application in first order circuit are explored in this paper.

本文论述了集合上的度量、度量空间的性质、度量拓扑、可度量化空间、完备度量空间、及一阶电路中的度量空间。

E. local angle measure, local area measure, local ratio measure of arc to chord length, and local ratio measure of perpendicular distance to chord length.

该文简要回顾了现有的一些节点重要性度量方法，即角度度量法、面积度量法、弧比弦度量法和垂比弦度量法，指出其局限性。

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This paper focusses on the measurement process specifying stakeholders involved, measurement frequency, sources of measurement data, measurement rules, measurement data interpretation rules, tools support, reports to be produced, and action items that can be taken based on the measurement data.

度量过程包括参与度量的相关人员，度量的频率，度量数据的来源，度量的规则，度量数据的解释规程，支持工具，产生的度量报告，以及根据度量数据采取的行动。

Secondly, it summarizes development and gradual progress about operational risk measurement. Analyzes and compares two main categories at present: bottom-up and top-down, and Loss Distribution Approach of top-down and Income Model of bottom-up is studied deeply, then finds out the main challenges of operational risk measure methods. Thirdly, taking examples for Shanghai Pudong Development Bank and Shenzhen Development Bank, it demonstrates operational risk measurement of our banking using Basic Indicator Approach and Income Model of bottom-up. And by comparing its effects with analysis result of concrete loss incidents of operational risk, it is approved that to apply operational risk measurement to our banking is feasibility. Finally, the paper analyzes difficulties to measure operational risk, such as weak consciousness of measuring operational risk, short of effective modern measuring model, behindhand of loss data collection and lack of perfect inside management mechanism of measurement, and then gives some advices.

接着总结了操作风险度量方法的发展演进过程，对目前度量操作风险的两类主流方法&自下而上&法和&自上而下&法进行了详细的分析和比较，分别选取&自下而上&的损失分布法和&自上而下&的收入模型法展开深入研究，并剖析了操作风险度量方法面临的主要挑战；接着以&浦东发展银行&和&深圳发展银行&为例，选用&自上而下&的基本指标法和收入模型法进行了操作风险度量的实证分析，并将分析结果与使用具体损失事件的实际操作风险分析结果进行了比较，证实了操作风险度量方法应用于我国的可行性；最后文章对我国银行业度量操作风险中存在的现实困难进行了深入探讨，指出了我国存在操作风险度量认识障碍、缺乏适用的现代操作风险度量模型、损失数据收集工作滞后以及操作风险度量缺乏完善的内部管理机制保证四大方面的现实问题，并提出了对策建议。

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