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 Iteration series: Series of powertowers - "T- geometric series" Kouznetsov Fellow Posts: 151 Threads: 9 Joined: Apr 2008 02/04/2012, 05:02 AM (02/03/2012, 08:07 PM)Gottfried Wrote: ..(re-)discovery of the concept of "Carleman-matrix" a) there is nothing known yet which would make the Carlemanmatrix-approach a unique preferable solution, b) the solution for the fractional iterates is dependent on the fixpoint which was chosen to center the power series around, and c) we get complex-valued power series for real valued fractional heights.Before the Arabian (positional) system of writing numbers spread, one used the Roman numbers. There existed several ways to perform oerations +,-,*,/. I believe, some researchers wondered:"wether the result does not depend on the numeral system used?" In order to show that the question is not trivial, I loaded the "Mizugadro number", http://samlib.ru/k/kuznecow_d_j/mizugade.shtml Quote:Quote:http://tori.ils.uec.ac.jp/TORI/index.php/Tetration http://math.eretrandre.org/hyperops_wiki .. their ambition seem to be very high.. Yes, while the ambitions are much higher than the level achieved. Quote:But perhaps there is something I can help with... Yes, of course! A lot of. Quote:Quote:..an account at the second.. Well, that was Henryk - now that you call for him I'm getting aware that we've heard little or nothing of him lastly... Thanks, Gottfried. Hope, Henryk will appear soon.. « Next Oldest | Next Newest »

 Messages In This Thread Iteration series: Series of powertowers - "T- geometric series" - by Gottfried - 08/24/2007, 02:44 PM RE: Series of powertowers - "T- geometric series" - by bo198214 - 08/24/2007, 07:59 PM RE: Series of powertowers - "T- geometric series" - by Gottfried - 08/25/2007, 03:23 PM RE: Series of powertowers - "T- geometric series" - by andydude - 09/06/2007, 03:26 AM RE: Series of powertowers - "T- geometric series" - by Gottfried - 09/06/2007, 08:12 AM RE: Series of powertowers - "T- geometric series" - by hannibaal - 01/31/2012, 08:03 PM RE: Series of powertowers - "T- geometric series" - by Kouznetsov - 02/03/2012, 03:06 PM RE: Series of powertowers - "T- geometric series" - by Gottfried - 02/03/2012, 04:47 PM RE: Series of powertowers - "T- geometric series" - by Kouznetsov - 02/03/2012, 06:19 PM RE: Series of powertowers - "T- geometric series" - by Gottfried - 02/03/2012, 08:07 PM RE: Series of powertowers - "T- geometric series" - by Kouznetsov - 02/04/2012, 05:02 AM

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