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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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 Richard Tobin Posts: 1,436 Registered: 12/6/04
Re: Bijection Between Complex Numbers and Real Numbers
Posted: Feb 19, 2012 10:03 AM
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In article <cb39da8d-c390-4a10-a159-2fdaa5c7e22a@l14g2000vbe.googlegroups.com>,
Pubkeybreaker <pubkeybreaker@aol.com> wrote:

>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.

Though this has the usual problem with multiple representations. For
example, both 0.1 and 0.00909090... map to (0.1, 0).

-- Richard

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

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