这一反自反性可以用来建立一个等价关系。

This irreflexivity can be used to set up an equivalence relation.

等价关系是粗集理论中的一个重要概念。

The equivalence relation is the basic Concept of the rough set theory.

本文揭示了路径表达式与3型文法之间的一种等价关系。

This paper reveals an equivalent relationship between Path Expresson and Type 3 Grammer.

阐述了等价关系在模式分类、集合分类以及程序设计方法等方面的重要应用；

The important application of pattern and set classification and method for programming are described.

有限集上等价关系是一个重要的关系，它同集合的划分有着密切的联系。

The equivalence relation on a finite set is an important relation, which relates to the partition on the set.