[離散] equivalence classes

[mqazz1 (無法顯示)]

let f be the function with domain Z

and f(x) = x^2

define ~~ on Z by m~~n if f(m) = f(n)


已知 ~~ is an equivalence relation on Z


describe the set of all equivalence classes


謝謝

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推 czk0622     :Z/~~ = NU{0},  for all x in Z/~~ x={a,-a} for
→ czk0622     :some a in NU{0}