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 September 27th, 2008, 05:48 AM #1 Newbie   Joined: Sep 2008 Posts: 6 Thanks: 0 Need a functional form Dear All, I would need a functional form such for f(K) such that: f(K) is defined for both K=0 and K=infinity; rate of growth of K is constant; thanks a lot for your help, Francesco
 September 27th, 2008, 11:57 AM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: Need a functional form If the rate of growth is constant, than the value of the function is linear. If it is real-valued at infinity, then it must be a constant function with a constant growth of 0. I don't suspect this is actually what you want, so you must have meant something slightly different...
 September 29th, 2008, 12:20 AM #3 Newbie   Joined: Sep 2008 Posts: 6 Thanks: 0 Re: Need a functional form Indeed I would need a constant and positive growth rate...
September 29th, 2008, 07:09 AM   #4
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Re: Need a functional form

Quote:
 Originally Posted by Francesco Mureddu Indeed I would need a constant and positive growth rate...
Then your function is of the form y = mx + b for m > 0. But the limit as x approaches infinity is infinite.

 September 29th, 2008, 12:04 PM #5 Newbie   Joined: Sep 2008 Posts: 6 Thanks: 0 Re: Need a functional form I will use this specification, thanks a lot

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