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Bummer!
#18
bo198214 Wrote:I received an e-mail of Dan Asimov where he mentions that the continuous iterations of at the lower and upper real fixed points, , differ! He, Dean Hickerson and Richard Schroeppel found this arround 1991, however there is no paper about it.

The numerical computations veiled this fact because the differences are in the order of . I reverified this by setting the computation exactness to 100 decimal digits and using the recurrence formula described here:
, where is the fixed point of and and .
Henryk -
I'm currently investigating the computation of the different eigenmatrices based on the different fixpoints. Apparently the computations lead to the same tetration-matrices Bs (or Bb) in the examples, where I checked this, and thus to the same coefficients for the exponential series (in column 2 of the constructed Bb-matrix). Now the above seems to say, they are in fact not equal. So I'd like to get more infos about the details of the problem. I could not translate your argument above into my matrix-concept - can you explain a bit more explicite? And: do you know some more arguments for the statement of a difference (unfortunately, Dan Asimov seems to have said, there are no papers available)?

Gottfried
Gottfried Helms, Kassel
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Messages In This Thread
Bummer! - by bo198214 - 10/05/2007, 10:18 AM
RE: Bummer! - by Gottfried - 10/05/2007, 10:56 AM
RE: Bummer! - by bo198214 - 10/05/2007, 11:17 AM
RE: Bummer! - by bo198214 - 10/06/2007, 07:05 AM
RE: Bummer! - by bo198214 - 10/06/2007, 09:18 AM
RE: Bummer! - by nuninho1980 - 05/29/2011, 09:37 PM
RE: Bummer! - by bo198214 - 05/29/2011, 10:11 PM
RE: Bummer! - by nuninho1980 - 05/30/2011, 01:13 AM
RE: Bummer! - by sheldonison - 05/30/2011, 03:25 PM
RE: Bummer! - by bo198214 - 05/31/2011, 09:05 AM
RE: Bummer! - by JmsNxn - 05/31/2011, 09:06 PM
RE: Bummer! - by sheldonison - 06/01/2011, 03:03 AM
RE: Bummer! - by bo198214 - 06/01/2011, 01:16 PM
RE: Bummer! - by jaydfox - 10/07/2007, 04:26 PM
RE: Bummer! - by bo198214 - 10/07/2007, 06:16 PM
RE: Bummer! - by jaydfox - 10/07/2007, 07:48 PM
RE: Bummer! - by jaydfox - 10/15/2007, 08:36 PM
RE: Bummer! - by bo198214 - 11/02/2007, 08:30 PM
RE: Bummer! - by jaydfox - 11/02/2007, 10:31 PM
RE: Bummer! - by bo198214 - 11/02/2007, 11:06 PM
RE: Bummer! - by jaydfox - 11/07/2007, 02:22 PM
RE: Bummer! - by bo198214 - 11/07/2007, 02:27 PM
RE: Bummer! - by jaydfox - 11/26/2007, 04:37 PM
RE: Bummer! - by jaydfox - 11/04/2007, 02:24 AM
RE: Bummer! - by bo198214 - 11/06/2007, 11:33 AM
RE: Bummer! - by jaydfox - 11/04/2007, 02:32 AM
RE: Bummer! - by jaydfox - 11/06/2007, 01:34 PM
RE: Bummer! - by bo198214 - 11/06/2007, 02:06 PM
RE: Bummer! - by Gottfried - 11/07/2007, 08:32 AM
RE: Bummer! - by jaydfox - 11/08/2007, 02:16 AM
RE: Bummer! - by bo198214 - 11/08/2007, 01:14 PM
RE: Bummer! - by jaydfox - 11/09/2007, 04:59 AM
RE: Bummer! - by jaydfox - 11/09/2007, 05:12 AM
RE: Bummer! - by bo198214 - 11/12/2007, 08:45 PM
RE: Bummer! - by jaydfox - 11/13/2007, 08:36 AM
RE: Bummer! - by jaydfox - 11/09/2007, 07:04 AM
RE: Bummer! - by jaydfox - 11/13/2007, 01:47 AM
RE: Bummer! - by bo198214 - 11/13/2007, 10:36 AM
RE: Bummer! - by jaydfox - 11/13/2007, 02:23 PM
RE: Bummer! - by bo198214 - 11/13/2007, 02:41 PM
Bummer conclusio - by bo198214 - 03/12/2008, 09:20 PM
RE: Bummer! - by Kouznetsov - 04/18/2009, 12:46 PM
RE: Bummer! - by andydude - 04/21/2009, 08:28 PM
RE: Bummer! - by bo198214 - 04/21/2009, 09:02 PM
RE: Bummer! - by andydude - 04/22/2009, 11:33 PM
RE: Bummer! - by bo198214 - 04/23/2009, 08:39 AM
RE: Bummer! - by bo198214 - 04/23/2009, 09:01 AM
RE: Bummer! - by Kouznetsov - 04/18/2009, 11:24 AM



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