Both congruent and similarity of matrix are equivalence relations.

矩阵的合同关系、相似关系都是等价关系。

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This Paper study the intersection and union operations, with it establishes the algebraic structure of equivalence relations.

本文主要研究了等价关系的交并运算，建立了等价关系对于交并运算的代数结构。

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In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.

第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。

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