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 Solving tetration for base 0 < b < e^-e bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 09/12/2009, 03:48 PM (09/12/2009, 08:50 AM)mike3 Wrote: So it would seem that the regular iteration is not applicable to this case... (as I suspected) What about the other methods, e.g. the continuum-product formula? There are two other methods. Intuitive slog and matrix power tetration. The intuitive slog seems not applicable to bases $\le 1$ (see Andrew's post about the base range of the intuitive slog). Then I tried the matrix power method for base 0.04. It converges, however the result is not a superexponential. I plot the sexp on (0,1) (lower curve) and b^sexp(x) on (-1,0). They should be the same, but differ remarkably. The curve is nearly the same for matrix size 30 and matrix size 40.     . « Next Oldest | Next Newest »

 Messages In This Thread Solving tetration for base 0 < b < e^-e - by mike3 - 09/12/2009, 02:00 AM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/12/2009, 06:56 AM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/12/2009, 07:20 AM RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/12/2009, 07:40 AM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/12/2009, 07:47 AM RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/12/2009, 08:07 AM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/12/2009, 08:35 AM RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/12/2009, 08:50 AM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/12/2009, 03:48 PM RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/12/2009, 09:04 PM RE: Solving tetration for base 0 < b < e^-e - by Gottfried - 09/13/2009, 06:14 AM RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/13/2009, 07:24 AM RE: Solving tetration for base 0 < b < e^-e - by Gottfried - 09/13/2009, 09:57 AM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/13/2009, 11:23 AM RE: Solving tetration for base 0 < b < e^-e - by Gottfried - 09/13/2009, 11:44 AM RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/14/2009, 09:43 PM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/17/2009, 08:01 AM RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/17/2009, 11:03 AM RE: Solving tetration for base 0 < b < e^-e - by Gottfried - 09/13/2009, 01:34 PM RE: Solving tetration for base 0 < b < e^-e - by Gottfried - 09/13/2009, 07:34 PM RE: Solving tetration for base 0 < b < e^-e - by Gottfried - 09/14/2009, 02:02 PM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/13/2009, 08:08 AM RE: Solving tetration for base 0 < b < e^-e - by mike3 - 09/13/2009, 09:49 AM RE: Solving tetration for base 0 < b < e^-e - by tommy1729 - 09/18/2009, 12:16 PM RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/18/2009, 01:00 PM

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