感谢核实与点评。修改了f~g

本帖于 2024-09-16 16:22:47 时间, 由普通用户 大酱风度 编辑
回答: 很好!kde2352024-09-15 18:25:04

S={single valued functions}

For a given g(x), if both p(x) and q(x) single valued and satisfying p(p(x))=g(x) and q(q(x))= g(x)

then pRq is an equivalent relation p~q and all such functions form an equivalent class.

证明: 

1. 自反性: 显然, pRp 

2. 对称性: pRq=qRp 

3. 传递性: pRq and qRt then pRt

 

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