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Re: Bijection Between Complex Numbers and Real Numbers
Posted:
Feb 19, 2012 12:45 AM
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On Sat, 18 Feb 2012, Michael Ejercito wrote:
> What bijective function exists such that every complex number maps
> to a unique real number, and likewise every real number maps to a
> unique complex number?
>
Let f:R -> R^2 be a bijection.
Define g:R^2 -> C, (x,y) -> x + iy.
gf:R -> C is a bijection.
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