Solving tetration for base 0 < b

Linear Mode

Solving tetration for base 0 < b < e^-e

mike3

Long Time Fellow

Posts: 368
Threads: 44
Joined: Sep 2009

#21

09/14/2009, 09:43 PM

Is there any way in which this could be done with something other than the matrix operator? For example, could a limit formula be used like that for \( b = e^{1/e} \), for this base (\( b = e^{-e} \)) even if convergence is dog slow? If so, what would it be? One doesn't need many digits to plot graphs, and once one has enough points on an interval of towers, say from 0 to 1, it may be possible to interpolate them using a polynomial, and then one can use the functional equations to rapidly draw a graph along a wider interval of towers.

Find

« 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

Possibly Related Threads…
Thread		Author	Replies	Views	Last Post
	Kneser tetration Polynomial approximation for base e	RaeesHarris	0	1,027	09/02/2026, 07:59 PM Last Post: RaeesHarris
	Mixed-base tetration: five preprints, a faster fatou.gp fork, and a base-change calcu	Lightrunner	0	1,527	07/15/2026, 08:33 AM Last Post: Lightrunner
	Seeking an arXiv endorser for mixed-base tetration (math.DS)	Lightrunner	0	1,046	07/13/2026, 10:19 PM Last Post: Lightrunner
	Base -1	marraco	15	45,002	07/06/2022, 09:37 AM Last Post: Catullus
	I thought I'd take a crack at base = 1/2	JmsNxn	9	18,314	06/20/2022, 08:28 AM Last Post: Catullus
	solving f(g(x)) = f(x) converging to f(exp(x)) = f(x)	tommy1729	2	5,701	05/26/2022, 11:07 PM Last Post: JmsNxn
	Repetition of the last digits of a tetration of generic base	Luknik	12	26,148	12/16/2021, 12:26 AM Last Post: marcokrt
	On the [tex]2 \pi i[/tex]-periodic solution to tetration, base e	JmsNxn	0	4,434	09/28/2021, 05:44 AM Last Post: JmsNxn
	Complex Tetration, to base exp(1/e)	Ember Edison	7	27,704	08/14/2019, 09:15 AM Last Post: sheldonison
	b^b^x with base 0<b<e^-e have three real fixpoints	Gottfried	1	10,597	11/07/2017, 11:06 AM Last Post: sheldonison

View a Printable Version

Users browsing this thread: 1 Guest(s)

Login
Username:
Password:	Lost Password?
	Remember me