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 Iteration basics Ivars Long Time Fellow Posts: 366 Threads: 26 Joined: Oct 2007 04/22/2008, 07:02 AM (This post was last modified: 04/22/2008, 07:04 AM by Ivars.) andydude Wrote:That is a good question, and I think that there is plenty of talk about "complex iteration" but not as much about the function you speak of. I think this function has not beed considered as you put it. I seem to remember $f^x(x)$ being mentioned somewhere, but never $f^{Im(x)}(Re(x))$, maybe you might find something with this function... Andrew Robbins And of course, opposite is possible to look at as well, (though initially I felt that the proper place for imaginary part could be in iteration argument, not function): $f^{Re(x)}(Im(x))$, Yes I can ask a question but to study this... - may be only if there are some simple obvious functions or even values to start with. I can not register right now such. The idea itself just appeared when I was trying to see if we can iterate function faster or slower than function itself works on argument, and does it mean anything, is there a relationship between these various speeds which somehow must be registered outside the iterated function and its arguments?. Than I thought that if we somewhat limit the choices of relationships between function argument and iteration argument, which complex plane obviously does (and function values that can be Re(x)/Im(x) are limited as well by Euler-Cauchy equations) , it might be easier to look for some relationships. But I have no single example even. That would then require another thread. 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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