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Topic: Bijection Between Complex Numbers and Real Numbers
Replies: 59   Last Post: Feb 24, 2012 7:12 AM

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Pubkeybreaker

Posts: 1,394
Registered: 2/12/07
Re: Bijection Between Complex Numbers and Real Numbers
Posted: Feb 19, 2012 9:54 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Feb 19, 12:03 am, Michael Ejercito <mejer...@hotmail.com> 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?
>
>  Michael


Consider a bijective map from [0,1] to the unit square.

Let r \in [0,1]. Let (x,y) be a point in the unit square.
let r = .a1 a2 a3 .....

Let x = .a1 a3 a5 .....
y = .a2 a4 a6 .....

i.e. take x as being formed from every other digit in the decimal
representation of r. Similarly for y.


Date Subject Author
2/19/12
Read Bijection Between Complex Numbers and Real Numbers
Michael Ejercito
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
William Elliot
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers?
Virgil
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers?
Butch Malahide
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers?
Virgil
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers?
Shmuel (Seymour J.) Metz
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers?
David C. Ullrich
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers?
Virgil
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers?
David C. Ullrich
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Pubkeybreaker
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
The Perturbator
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Pubkeybreaker
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Richard Tobin
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Michael Ejercito
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Kaba
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Kaba
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Kaba
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Tim Little
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Richard Tobin
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Virgil
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David R Tribble
2/19/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Michael Ejercito
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
jbriggs444@gmail.com
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
jbriggs444@gmail.com
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/23/12
Read Re: Bijection Between Complex Numbers and Real Numbers
jbriggs444@gmail.com
2/24/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/24/12
Read Re: Bijection Between Complex Numbers and Real Numbers
jbriggs444@gmail.com
2/24/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/22/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Tim Little
2/22/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
G. A. Edgar
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/22/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Tommy Jensen
2/23/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Dan Cass
2/23/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Tommy Jensen
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/21/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/22/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Richard Tobin
2/22/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/22/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/22/12
Read Re: Bijection Between Complex Numbers and Real Numbers
Peter Webb
2/23/12
Read Re: Bijection Between Complex Numbers and Real Numbers
trj
2/23/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen
2/20/12
Read Re: Bijection Between Complex Numbers and Real Numbers
David Yen

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