Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
David Yen

Posts: 630
Registered: 3/1/11
Re: Bijection Between Complex Numbers and Real Numbers
Posted: Feb 21, 2012 12:03 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Okay, you may have a bijection here, as long as you take the sign bit of the imaginary part to be the first bit of either the natural component or the fraction component. It doesn't matter.

I verified that it is left-total, right-total, left-unique and right-unique. So, you have it, but I gave you the hard part. Next time, make sure your solution is complete.

One minor correction to make it perfect is to append zeroes instead ones even with the fractions. This way, you don't have to debate about the concept of limit.

That's all. Bye, I have to work. No more questions.


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

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.