An explanation for this?
#14
(12/25/2010, 06:07 PM)JmsNxn Wrote: And also, why this is not the accepted extension for tetration of rational values?

Because it is not theoretically safe.
There is no proof that the Dmitrii's (and also Sheldon's) procedure of computing the sexp even converges.
There is however a theoretic uniqueness criterion and a proven procedure that exactly produces the corresponding sexp/slog. I found that out recently and give links/references perhaps later. However Dmitrii's and also Sheldon's way is simpler to calculate and seem to compute exactly this unique sexp/slog.
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Messages In This Thread
An explanation for this? - by JmsNxn - 12/25/2010, 06:07 PM
RE: An explanation for this? - by sheldonison - 12/25/2010, 07:06 PM
RE: An explanation for this? - by JmsNxn - 12/25/2010, 07:53 PM
RE: An explanation for this? - by sheldonison - 12/25/2010, 10:52 PM
RE: An explanation for this? - by JmsNxn - 12/26/2010, 03:33 AM
RE: An explanation for this? - by sheldonison - 12/26/2010, 12:28 PM
RE: An explanation for this? - by JmsNxn - 12/29/2010, 10:15 PM
RE: An explanation for this? - by Gottfried - 12/30/2010, 12:50 PM
RE: An explanation for this? - by sheldonison - 12/30/2010, 02:34 PM
RE: An explanation for this? - by Gottfried - 12/31/2010, 10:42 AM
RE: An explanation for this? - by JmsNxn - 12/30/2010, 06:05 PM
RE: An explanation for this? - by tommy1729 - 12/26/2010, 09:50 PM
RE: An explanation for this? - by Gottfried - 12/31/2010, 10:53 AM
RE: An explanation for this? - by bo198214 - 01/06/2011, 03:02 AM
RE: An explanation for this? - by mike3 - 01/06/2011, 05:08 AM
RE: An explanation for this? - by bo198214 - 01/15/2011, 07:06 AM
RE: An explanation for this? - by mike3 - 01/15/2011, 12:26 PM
RE: An explanation for this? - by tommy1729 - 01/15/2011, 09:29 PM
RE: An explanation for this? - by bo198214 - 01/16/2011, 10:27 AM
RE: An explanation for this? - by tommy1729 - 05/03/2014, 08:38 PM



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