
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 8th, 2009, 04:05 PM  #1 
Member Joined: Sep 2008 Posts: 41 Thanks: 0  Which function is bigger
Hopefully this is the correct forum for this. Let . I have an algorithm that I need to show makes at most comparisons, where is related to the input size. I have determined that the algorithm makes comparisons, so I can increase its number of comparisons to . So the only thing different is vs . Is it true that ? If that's the case then I arrive at the required result. I have been graphing the functions using an online applet that seems to show they are "identical", but I can't determine if the first one is less than or equal to the second one. This specific question I am working on didn't mention asymptotic bounds, it's more of finding the exact number (otherwise it's just ). Thanks 
November 8th, 2009, 04:56 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,841 Thanks: 1564 
If n = 3, but 
November 8th, 2009, 06:01 PM  #3 
Member Joined: Sep 2008 Posts: 41 Thanks: 0  Re: Which function is bigger
Thanks for your response. So basically I am stuck with what I have, and have to look for a different way? I.e., what I have doesn't satisfy the requirement, because right now it performs (slightly) more comparisons. 
November 8th, 2009, 09:13 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 18,841 Thanks: 1564 
Very possibly. It's difficult to say more unless you disclose all the details.

November 9th, 2009, 08:39 AM  #5 
Member Joined: Sep 2008 Posts: 41 Thanks: 0  Re: Which function is bigger
I think the only remaining details is the algorithm itself. Ill probably try and ask for hints from classmates or the professor. I just wanted to get working on it on the weekend was over, and didnt have those resources until then. If youre interested, the algorithm is to find the 3rd largest of a list of distinct elements, for example distinct natural numbers. 

Tags 
bigger, function 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Derivation of tau function, sigma, euler and mobius function  msgelyn  Number Theory  2  January 12th, 2014 03:13 AM 
My answer to Time Symmetry paradox quantum vs bigger  BenFRayfield  Real Analysis  0  May 31st, 2013 07:40 AM 
how many times is a bigger then d  gelatine1  Algebra  2  December 29th, 2012 12:09 AM 
Which one is bigger?  Albert.Teng  Algebra  8  April 24th, 2012 04:17 AM 
What mean s 'negative number is five times bigger'?  W300  Algebra  2  October 22nd, 2009 09:11 AM 