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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- Oct 1st 2010, 05:52 PMjames12discrete 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=) - Oct 1st 2010, 06:39 PMIondor
Take any bijection between Z+^2 and Z+, for example

a*b=2^a (2b+1)-1