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annoymage
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Homework Statement
Definition: If A is a set and if ~ is an equivalence relation on A, then the equivalence class of a[tex]\in[/tex]A is the set {x[tex]\in[/tex]A l a~x}. We write it as cl(a)Let S be the set of all integer. Given a,b [tex]\in[/tex] S, define a~b if a-b is an even integer.
so, the equivalent class of a consist of all integer of the form a+2m, m are rational number.
and can someone explain why only cl(0) and cl(1) is the distinctive equivalence classes?
is cl(1) simply means {x[tex]\in[/tex]A l 1~x}??
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