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 Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? tommy1729 Ultimate Fellow     Posts: 1,370 Threads: 335 Joined: Feb 2009 02/20/2013, 10:58 PM One of the reasons im intrested in this is because these functions must be between id(x) and x^2 or id(x) and sqrt(x) resp. So no silly slow or silly fast growth rates. Also its an analogue to the question what lies "between" polynomial and exponential ? This question appears to be what lies "between" linear and squared ? Many functions grow like ...(exp(x)^a)(x^b)(ln(x)^c)...* ...(sexp(x)^a_2)(slog(x)^b_2).... and this one might be different. And even if similar that is also intresting imho. Since these functions grow at normal rates we might be able to do 'normal' math such as calculus or number theory(*) or simpler recursions.(* by using rounding ) « Next Oldest | Next Newest »

 Messages In This Thread Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by tommy1729 - 02/20/2013, 12:38 AM RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by tommy1729 - 02/20/2013, 10:58 PM RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by tommy1729 - 02/21/2013, 11:40 PM RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by cosurgi - 02/23/2013, 11:54 PM RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by Balarka Sen - 02/24/2013, 06:54 AM RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by cosurgi - 02/24/2013, 10:22 AM RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by Balarka Sen - 02/24/2013, 10:56 AM RE: Behaviour of exp^[1/2](2 log^[1/2](x)) and exp^[1/2](1/2 log^[1/2](x)) ? - by tommy1729 - 02/26/2013, 11:33 PM

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