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 [Regular tetration] [Iteration series] norming fixpoint-dependencies Gottfried Ultimate Fellow Posts: 764 Threads: 118 Joined: Aug 2007 08/31/2010, 05:36 AM (This post was last modified: 08/31/2010, 05:40 AM by Gottfried.) (08/30/2010, 11:14 PM)tommy1729 Wrote: i.e. z<> z^z => z^z =/= (z + z^^2)/2. I explained in an earlier post my misuse of the z^^h-notation. (Oh, that was in the other thread only?, Then - sorry) Ok. To make ascii-writing short I use it there (and now here) in that meaning: using a base b, z^^h is b^b^...^b^z where h is the number of b, in case of continuous: z^^h = $\exp_b^{oh}(z)$ I think that "misuse" can be justified since we usually talk about a fixed chosen base ("b") and discuss the change of parameter z as iteration start, h as iteration "height" and z^^h as iteration result. Reading some "z^z" above I think there is a misunderstanding there. Gottfried Gottfried Helms, Kassel « Next Oldest | Next Newest »

 Messages In This Thread [Regular tetration] [Iteration series] norming fixpoint-dependencies - by Gottfried - 07/28/2010, 03:04 PM RE: [Regular tetration] norming fixpoint-dependencies - by Gottfried - 07/28/2010, 09:49 PM RE: [Regular tetration] norming fixpoint-dependencies - by bo198214 - 07/29/2010, 04:53 AM RE: [Regular tetration] norming fixpoint-dependencies - by Gottfried - 07/29/2010, 11:36 AM RE: [Regular tetration] norming fixpoint-dependencies - by Gottfried - 08/29/2010, 10:31 PM RE: [Regular tetration] norming fixpoint-dependencies - by tommy1729 - 08/30/2010, 09:32 AM RE: [Regular tetration] norming fixpoint-dependencies - by Gottfried - 08/30/2010, 10:25 AM RE: [Regular tetration] norming fixpoint-dependencies - by tommy1729 - 08/30/2010, 11:08 AM RE: [Regular tetration] norming fixpoint-dependencies - by Gottfried - 08/30/2010, 12:34 PM RE: [Regular tetration] norming fixpoint-dependencies - by tommy1729 - 08/30/2010, 11:14 PM RE: [Regular tetration] norming fixpoint-dependencies - by Gottfried - 08/31/2010, 05:36 AM RE: [Regular tetration] norming fixpoint-dependencies - by tommy1729 - 08/31/2010, 11:55 PM

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