home > q&a board > advanced math > topic: help with countable sets please!

Q BgQuestion:

Rookie
Karma Points: 0
Respect (86%):
posted by  princessfrost on 4/25/2008 10:12:26 PM  |  status: Live  

help with countable sets please!

Course Textbook Chapter Problem
N/A N/A N/A N/A
Question Details:
Can you please help me with this question?
 
 
Give an example of a bijection h from the Natural numbers to E+ such that h(1)=16, h(2)=12 and h(3)=2.
 
 
Thanks for your help!

AAnswers:

Answer Question
Oracle
Karma Points: 7,751
posted by gomorycut on 4/27/2008 1:50:02 AM  |  status: Live
Asker's Rating: Lifesaver   
princessfrost's comment:
"thank you! "
Response Details:
A bijection from the natural numbers 1,2,3,4,...
to the positive even integers 2,4,6,8,...
You can just use the function h defined as:
h(1) = 16
h(2) = 12
h(3) = 2
h(4) = 4
h(5) = 6
h(6) = 8
h(7) = 10
h(8) = 14
h(9) = 18 and in general, h(k) = 2k for all k > 9
 

Feel free to send me a private message with any followup questions if there is something you want clarified or re-explained.
Answer Question
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different than tutoring »

Need Help In

Useful Links