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One To One Function

  • Definition: A one-to-one function F: X -> Y is one with the property that if F(x) = F(z) then x = z. That is, for each member of y in Y there is at most one x in X such that F(x) = y.

  • Example: For example the function n^2 on the natural numbers is one-to-one.

  • Listed under: Discrete Mathematics, Set Theory

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