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Iterating at fixed points of b^x

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Iterating at fixed points of b^x
Gottfried Offline
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#24
10/04/2007, 11:05 PM
Gottfried Wrote:For (a) we get then, for instance for base b=sqrt(2) the two solutions

x=2 -> lim h->oo {b,x}^^h =2
x=4 -> lim h->oo {b,x}^^h =4

Hmm, Andrew, I just see at your site, that this contradicts to one of your identities. You say , at "integer values" (translated to ascii-notation)

{b,a}^^oo = b^^oo

to which my above definition is then in contradiction.
On the other hand, saying "tetration means: appending bases" is also more consistent with the right-to-left-evaluation rule...

Hmm.

Gottfried
Gottfried Helms, Kassel
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Messages In This Thread
Iterating at fixed points of b^x - by bo198214 - 09/08/2007, 10:02 AM
The fixed points of e^x - by bo198214 - 09/08/2007, 10:34 AM
The fixed points of b^x - by bo198214 - 09/08/2007, 11:36 AM
RE: Iterating at fixed points of b^x - by jaydfox - 09/12/2007, 06:23 AM
RE: Iterating at fixed points of b^x - by GFR - 10/03/2007, 11:03 PM
RE: Iterating at fixed points of b^x - by Gottfried - 10/04/2007, 11:05 PM
RE: Iterating at fixed points of b^x - by GFR - 01/31/2008, 03:07 PM

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