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Mizugadro, pentation, Book
#9
(01/13/2015, 06:52 PM)Kouznetsov Wrote:
(01/13/2015, 02:56 PM)sheldonison Wrote: Was there anything of interest to you in [url=http://math.eretrandre.org/tetrationforum/showthread.php?
No. Sorry. My Mathematica fails to run the code suggested,
<< Tetration`
NaturalIterate[Series[Tetrate[E, x], {x, 0, 3}], z]

Quote:mode=linear&tid=372]Andy's 2009 pentation thread[/url]? My first post to the thread includes pari-gp code, post#10, Oct30th 2010 and gives the fixed points and Taylor series for Pentation to higher precision than your results Smile
? How can I see that the precision is better?
Have you calculated the residual at the substitution into the transfer equation?
Or comparison with the explicitly–holomorphic Taylor expansion?

There is a Taylor series in that post#10, for Pent(x-1); you could compare it to results you have. When I rerun in higher precision today, the Taylor series coefficients I first posted are accurate to approximately 21 decimal digits; that Pentation result used a 32 decimal digits Tetration implementation for its base. The pentation pari-gp program hasn't been updated in over three years ... I would probably clean it up if I were writing it today, and also write more math equations (instead of just pari-gp code). The most recent version I have (roughly the same as post#13) works fine, and can be run in arbitrary precision and gives pent(-0.5)=0.4910543386356481974128179471452718984517, which gives an error term vs that very first post of pent(-0.5)=-7E-22.
- Sheldon
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Messages In This Thread
Mizugadro, pentation, Book - by Kouznetsov - 01/11/2015, 06:05 AM
RE: Mizugadro, pentation, Book - by MphLee - 01/11/2015, 02:32 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/11/2015, 05:01 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/12/2015, 12:06 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/12/2015, 05:11 AM
RE: Mizugadro, pentation, Book - by sheldonison - 01/13/2015, 02:56 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/13/2015, 06:52 PM
RE: Mizugadro, pentation, Book - by sheldonison - 01/13/2015, 09:02 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/14/2015, 01:12 AM
RE: Mizugadro, pentation, Book - by sheldonison - 01/12/2015, 03:43 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/14/2015, 01:21 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/14/2015, 04:08 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/15/2015, 01:12 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/15/2015, 03:09 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/16/2015, 12:31 AM
RE: Mizugadro, pentation, Book - by MphLee - 02/09/2015, 08:19 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 12:07 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 12:18 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/09/2015, 10:35 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/10/2015, 12:48 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/10/2015, 12:12 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 02:40 PM
RE: Mizugadro, pentation, Book - by Gottfried - 02/11/2015, 09:04 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/12/2015, 12:27 AM
RE: Mizugadro, pentation, Book - by Gottfried - 02/12/2015, 04:10 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 02:04 AM
RE: Mizugadro, pentation, Book - by Gottfried - 02/13/2015, 10:09 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 12:23 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/13/2015, 12:45 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 02:25 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/13/2015, 01:21 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/14/2015, 01:22 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/15/2015, 05:23 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/16/2015, 12:03 AM
RE: Mizugadro, pentation, Book - by mike3 - 02/16/2015, 12:16 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 01:05 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/16/2015, 01:47 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 01:56 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 02:23 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/17/2015, 01:34 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/17/2015, 03:36 PM
RE: Mizugadro, pentation, Book - by sheldonison - 03/02/2015, 08:13 PM

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