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 z^^z ? bo198214 Administrator Posts: 1,391 Threads: 90 Joined: Aug 2007 02/27/2011, 12:55 PM (This post was last modified: 02/27/2011, 01:05 PM by bo198214.) (01/30/2011, 06:41 PM)tommy1729 Wrote: (01/29/2011, 11:18 PM)nuninho1980 Wrote: I edited to change from "e" to "superE" on my post #5, sorry. i dont know what your talking about actually. There is this bifurcation base 1.6353... for the tetrational: for b<1.6353... b[4]x has two fixpoints for b=1.6353... b[4]x has one fixpoint for b>1.6353... b[4]x has no fixpoint on the positive real axis. As you see, the bifurcation base 1.6353... of the tetrational corresponds to the bifurcation base $e^{1/e}$ of the exponential. (Also corresponds regarding other characterizations like the point b where b[4](b[4](b[4]...)) starts to diverge or the argument where the 4-selfroot is maximal) The normal Euler constant e is now the one fixpoint of $e^{1/e}[3]x$. And the Super-Euler constant is the one (positive) fixpoint of $1.6353...[4]x$. « Next Oldest | Next Newest »

 Messages In This Thread z^^z ? - by tommy1729 - 01/18/2011, 01:44 PM RE: z^^z ? - by tommy1729 - 01/18/2011, 09:11 PM RE: z^^z ? - by tommy1729 - 01/18/2011, 09:49 PM RE: z^^z ? - by bo198214 - 01/29/2011, 10:36 AM RE: z^^z ? - by nuninho1980 - 01/29/2011, 02:05 PM RE: z^^z ? - by tommy1729 - 01/29/2011, 03:32 PM RE: z^^z ? - by nuninho1980 - 01/29/2011, 11:18 PM RE: z^^z ? - by tommy1729 - 01/30/2011, 06:41 PM RE: z^^z ? - by nuninho1980 - 01/31/2011, 01:39 PM RE: z^^z ? - by bo198214 - 02/27/2011, 12:55 PM RE: z^^z ? - by tommy1729 - 02/27/2011, 11:01 PM RE: z^^z ? - by Stan - 04/05/2011, 09:26 AM RE: z^^z ? - by tommy1729 - 04/06/2011, 03:15 PM

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