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 Iteration basics Ivars Long Time Fellow Posts: 366 Threads: 26 Joined: Oct 2007 04/20/2008, 10:15 PM (This post was last modified: 04/20/2008, 10:16 PM by Ivars.) I wanted to ask another question. Got curious outside the basics, perhaps. What if we contruct a 2 variable function F(t,x) where t is iteration of f(x) , x - argument of f(x) and then parametrize, for example: t=g(y); x= h(y) , so F(g(y), h(y) ) ; Now, we can assume various functions g, h with different growth speeds. For example, we may consider: g(y) = y!, h(y) = e^y or, g(y) =e^y, h(y) = y! or any other. It could be also possible to make t an imaginary part of a complex number, while x would be real part, so that: $z = x+it = h(y) + I* g(y)$ So then F(t,x) becomes F(z) if functions h(y) and g(y) satisfy Euler conditions for derivatives of complex number functions. What I wanted to ask, is , has this been considered, where could I read about it and does it make any sense at all to look at such functions? Ivars « Next Oldest | Next Newest »

 Messages In This Thread Iteration basics - by Ivars - 03/20/2008, 10:34 AM RE: Iteration basics - by Ivars - 03/20/2008, 05:24 PM RE: Iteration basics - by Gottfried - 03/21/2008, 08:37 AM RE: Iteration basics - by Ivars - 04/03/2008, 08:05 AM RE: Iteration basics - by Gottfried - 04/03/2008, 08:19 AM RE: Iteration basics - by Ivars - 04/03/2008, 10:13 AM RE: Iteration basics - by andydude - 04/05/2008, 11:35 PM RE: Iteration basics - by Gottfried - 04/06/2008, 07:16 AM RE: Iteration basics - by Ivars - 04/06/2008, 08:55 AM RE: Iteration basics - by andydude - 04/07/2008, 12:01 AM RE: Iteration basics - by Ivars - 04/20/2008, 10:15 PM RE: Iteration basics - by bo198214 - 04/21/2008, 08:21 PM RE: Iteration basics - by andydude - 04/22/2008, 05:30 AM RE: Iteration basics - by Ivars - 04/22/2008, 07:02 AM RE: Iteration basics - by Ivars - 04/09/2008, 07:56 PM RE: Iteration basics - by Ivars - 05/09/2008, 09:45 AM RE: Iteration basics - by bo198214 - 05/09/2008, 02:49 PM RE: Iteration basics - by Ivars - 05/27/2008, 10:33 AM RE: Iteration basics - by Gottfried - 05/27/2008, 07:35 PM RE: Iteration basics - by Ivars - 05/30/2008, 06:08 AM RE: Iteration basics - by Xorter - 01/02/2017, 05:21 PM RE: Imaginary iterates of exponentiation - by Gottfried - 03/20/2008, 12:04 PM RE: Imaginary iterates of exponentiation - by Ivars - 03/20/2008, 12:35 PM RE: Imaginary iterates of exponentiation - by bo198214 - 03/20/2008, 03:10 PM RE: Imaginary iterates of exponentiation - by Ivars - 05/24/2008, 08:35 AM RE: Imaginary iterates of exponentiation - by bo198214 - 05/24/2008, 09:04 AM RE: Imaginary iterates of exponentiation - by Gottfried - 05/24/2008, 09:47 AM RE: Imaginary iterates of exponentiation - by Ivars - 05/24/2008, 07:12 PM

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