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Math Help - discrete mathematics

  1. #1
    Junior Member
    Joined
    Jul 2010
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    29

    discrete mathematics

    Construct a binary operation on the non-negative integers Z+ such that
    for any n in Z+, the equation a * b = n has exactly one solution for a
    and b.

    Thanks for the help=)
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  2. #2
    Junior Member
    Joined
    Aug 2010
    Posts
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    Take any bijection between Z+^2 and Z+, for example
    a*b=2^a (2b+1)-1
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