伪度量,pseudo-metric

1)pseudo-metric
伪度量
1.
The Hausdorff dimension and doubling measure on compact pseudo-metric space;
紧伪度量空间上的Hausdorff维数和加倍测度


2.
Continuity of basic operations on pseudo-metric L~*-Lindenbaum algebra;
伪度量L~*-Lindenbaum代数中基本运算的连续性


3.
General inference rules of truth were given, also, so that a basis was provided for introducing α-similarity and pseudo-metric among propositions.
基于均匀概率空间的无穷乘积,在三值标准序列逻辑系统中引入命题的α-真度概念,讨论了α-真度和α-重言式及矛盾式间的关系,给出了一般真度推理规则,为进一步引入命题间的α-相似度及伪度量奠定了基础。


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2)pseudo-metrics
伪度量
1.
The concept of semi pseudo-metrics on lattices was provided,several kinds of decomposition of a pseudo-metric on a lattice as a sum of two semi pseudometrics are given,the relations of the topologies derived by them were discussd,and the relation between the semi pseudo-metric on lattices and the non-negative modular function on lattices is also discussed.
提出了格上的半伪度量函数的概念，给出了格上伪度量函数的几种分解，即，将伪度量函数表示为２个半伪度量函数之和，讨论了它们在格上的诱导拓扑之间的对应关系，并且研究了格上的半伪度量与非负模函数之间的关系。


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3)pseudometric
伪度量
1.
And we show the relation between intuitionfic similarity and pseudometric.
同时研究了直觉相似关系和伪度量之间的联系。


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4)Erceg's pseudo-metric
Erceg-伪度量

5)Pointwise Metric(Pseudo Quasi Metric
(拟)伪度量

6)semi pseudo-metrics
半伪度量
1.
The concept of semi pseudo-metrics on lattices was provided,several kinds of decomposition of a pseudo-metric on a lattice as a sum of two semi pseudometrics are given,the relations of the topologies derived by them were discussd,and the relation between the semi pseudo-metric on lattices and the non-negative modular function on lattices is also discussed.
提出了格上的半伪度量函数的概念，给出了格上伪度量函数的几种分解，即，将伪度量函数表示为２个半伪度量函数之和，讨论了它们在格上的诱导拓扑之间的对应关系，并且研究了格上的半伪度量与非负模函数之间的关系。




补充资料：伪度量


伪度量
pseudo -metric

　　伪度量l脚川0一“抢川c;nce聊Me，。业]，集合X上的 一个非负实值函数p，定义在X的所有元素对的集合上(即定义在XxX上)，满足下列三个条件，即所谓的伪度量公理(初。璐for a Pseudo一me-trlc): a)若x=夕，则p(x，夕)=0: b)P(x，y)二P(y，x); e)户(x，z)成p(x，y)+户(y，:)，其中x，y，z是X的任意元素. 并未要求p(x，夕)二O蕴涵x二夕.x上的伪度量p确定X上一个拓扑结构如下:点x属于集A CX的闭包，如果p(x，A)二O，这里川x，A)二inf{烈x，y):少‘A}·这个拓扑结构是完全正则的，但不一定是Hausdo湃拓扑:单点集可以是非闭集.任何完全正则的拓扑结构均可由一族伪度量给出.即是相应伪度量拓扑的格沦意义下的并集.同样，伪度量族可以用来定义、说明以及研究一致结构.【补注】亦见度最(功d巧c).
　　
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伪度量,pseudo-metric