metric space

metric space的基本解释

n.

度量空间

与metric space相关的网络例句 [注：此内容来源于网络，仅供参考]

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。

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。

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。

与metric space相关的网络解释 [注：此内容来源于网络，仅供参考]

metric space：度量空间

柯西列的定义依赖于距离的定义,所以只有在度量空间(metric space)中柯西列才有意义. 在更一般的一致空间(uniform space)中,可以定义更为抽象的柯西滤子(Cauchy filter)和柯西网(Cauchy net).

metric space：计量空间

总之,集群分析是一种数值分类法,它是按照自然类别(natural grouping),将分布於某一计量空间(metric space)的点予以分类,使分类后的集群均具有同质性.

metric space：度量空间 距離空間

■ metes bounds 边界测量法定义组件 境界線長測定法 | ■ metric space 度量空间 距離空間 | ■ metropolitan council 市议会 都市圏協議会

metric space：赋距(度量)空间

度量关系 metric relation | 赋距(度量)空间 metric space | 度量张量 metric tensor

complete metric space：完备度量空间

complete measure space 完备测度空间 | complete metric space 完备度量空间 | complete normality axiom 完全正规性公理