基本解释：伪度量一致性
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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
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
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。
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。
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。
