查询词典 metric

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。

That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.

就是说，从离散度量空间到另一个有界度量空间的函数是李普希茨连续的，而任何从离散度量空间到另一个有界于 1 的度量空间的函数是短映射。

We introduce the notion of fuzzy-valued continuous function on a compact set K in a metric space, and discuss its properties; On this base, we study the uniformly d∞-convergence of a sequence of fuzzy-valued continuous function on K. We prove that the space of fuzzy-valued continuous functions on K, i.e. C(K, E1), is a complete metric space with respect to the metric D.

引入了定义在某度量空间的紧子集K上的模糊数值连续函数和水平连续函数的概念，讨论了它们的某些性质；在此基础上，研究了K上模糊数值连续函数列的一致d∞-收敛性，证明了K上模糊数值连续函数空间C(K， E1)关于度量 D 构成一个完备的度量空间。

A new soft decision metric for QAM is presented in this paper. Unlike traditional soft decision metric based on minimum Euclidean distance, the proposed metric is based on the bit confidences.

传统的软判决度量大多是基于最小欧氏距离准则生成，该文提出一种基于比特置信度快速生成QAM软判决度量的算法，通过将比特置信度引入到QAM软判决度量的计算中来减少计算的复杂性。

In this paper gravitational mass defect in static and spherically symmetric metric discussed by Ghose and Kumar is extended to the case of charged, static and spherically symmetric metric (Reissner-NordstrSm metric).

本文把Ghosc和Kumer在球对称、静态引力场(Schwarzchild度规)中讨论的引力质量亏损推广到荷电、静态、球对称场(Reissner-Nordstrm度规)中，并计算了亏损以后的质量M随初始质量M_0、荷质比α和半径r的各种变化曲线。

In this paper we propose a new metric. This proposed metric is more robustic than FCM、AWFCM and AFCM. Thus, we claim that the proposed new metric is more robust than others, which is better one.

而我们这篇论文是提出一个新的演算法，这演算法较FCM、AWFCM、AFCM较为稳定，此外，我们也利用几个例子来证明新的演算法比其他演算法较为稳定，算是一个较优的演算法。

Bringing security metric as a QoS parameter is a new strategy in QoS routing.Aiming at the problems that the way of characterizing the link safety using only one security metric in QoS routing,a strategy that using multi-security metric as routing parameter is proposed.This will characterize the link safety much more exact.The authors will use the strategy mentioned before for secure routing based on differentiated service.

将安全度量作为一种QoS参数进行路由选择是目前网络安全路由研究的一个新思路，针对现有方法采用一个安全度量参数描述链路安全性，进行路由选择存在的问题，提出一种多安全度量的链路安全性描述策略，能够更加全面准确地描述网络链路的安全特征；该描述策略应用于区分服务模型下的安全路由选择，并提出了基于改进的非支配遗传算法的多目标最优化安全路由算法求解这一多目标多约束的NP完全问题。

Bringing security metric as a QoS parameter is a new strategy in QoS routing.Aiming at the problems that the way of characterizing the link safety using only one security metric in QoS routing,a strategy that using multi-security metric as routing parameter is proposed.This will characterize the link safety much more exact.The authors will use the strategy mentioned before for secure routing based on differentiated service.An algorithm named MOSRA（Multi-Object Optimal Secure Routing Algorithm）based on nondominated sorting genetic algorithm under Differentiated Service Model is proposed to solve the NP complete.

将安全度量作为一种QoS参数进行路由选择是目前网络安全路由研究的一个新思路，针对现有方法采用一个安全度量参数描述链路安全性，进行路由选择存在的问题，提出一种多安全度量的链路安全性描述策略，能够更加全面准确地描述网络链路的安全特征；该描述策略应用于区分服务模型下的安全路由选择，并提出了基于改进的非支配遗传算法的多目标最优化安全路由算法求解这一多目标多约束的NP完全问题。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48