Exact and Unique solution for base e^(1/e)

Linear Mode

Exact and Unique solution for base e^(1/e)

tommy1729 Offline

Ultimate Fellow

Posts: 1,924
Threads: 415
Joined: Feb 2009

#22

08/02/2009, 10:34 PM

so tetration base e^1/e is linked to iterations of e^x - 1.

and more general base b^1/b iteration is linked to iterations of b^x - 1.

what if b < e ?

we get again the multiple fixpoint problem.

but i wonder if one of those fixpoints is " better " than the other , for instance if one is equal to the newton method for bases < eta.

---

i might be crazy but im thinking about linking iterations : tetration b^1/b , b^x - 1 to a THIRD function that we can iterate.

this in an attempt to attack b > e.

regards

tommy1729

Website Find

« Next Oldest | Next Newest »

Messages In This Thread

Exact and Unique solution for base e^(1/e) - by jaydfox - 08/10/2007, 03:59 AM

RE: Exact and Unique solution for base e^(1/e) - by bo198214 - 08/10/2007, 10:34 AM

RE: Exact and Unique solution for base e^(1/e) - by jaydfox - 08/10/2007, 03:46 PM

RE: Exact and Unique solution for base e^(1/e) - by bo198214 - 08/10/2007, 05:58 PM

RE: Exact and Unique solution for base e^(1/e) - by jaydfox - 08/11/2007, 07:51 AM

RE: Exact and Unique solution for base e^(1/e) - by andydude - 08/11/2007, 09:47 AM

RE: Exact and Unique solution for base e^(1/e) - by jaydfox - 08/11/2007, 05:22 PM

RE: Exact and Unique solution for base e^(1/e) - by bo198214 - 08/11/2007, 07:53 PM

RE: Exact and Unique solution for base e^(1/e) - by jaydfox - 08/11/2007, 10:21 PM

RE: Exact and Unique solution for base e^(1/e) - by Gottfried - 08/13/2007, 03:45 PM

RE: Exact and Unique solution for base e^(1/e) - by andydude - 08/11/2007, 07:58 PM

RE: Exact and Unique solution for base e^(1/e) - by bo198214 - 08/11/2007, 08:47 PM

RE: Exact and Unique solution for base e^(1/e) - by andydude - 08/13/2007, 03:20 PM

RE: Exact and Unique solution for base e^(1/e) - by jaydfox - 08/13/2007, 06:54 PM

RE: Exact and Unique solution for base e^(1/e) - by jaydfox - 07/31/2009, 08:11 PM

RE: Exact and Unique solution for base e^(1/e) - by andydude - 07/31/2009, 11:09 PM

RE: Exact and Unique solution for base e^(1/e) - by sheldonison - 07/31/2009, 11:18 PM

RE: Exact and Unique solution for base e^(1/e) - by tommy1729 - 08/02/2009, 10:34 PM

RE: Exact and Unique solution for base e^(1/e) - by bo198214 - 08/03/2009, 03:24 PM

Possibly Related Threads…
Thread		Author	Replies	Views	Last Post
	Mixed-base tetration: five preprints, a faster fatou.gp fork, and a base-change calcu	Lightrunner	0	1,056	07/15/2026, 08:33 AM Last Post: Lightrunner
	Maybe the solution at z=0 to f(f(z))=-z+z^2	Leo.W	9	10,193	01/24/2023, 12:37 AM Last Post: tommy1729
	Base -1	marraco	15	42,406	07/06/2022, 09:37 AM Last Post: Catullus
	I thought I'd take a crack at base = 1/2	JmsNxn	9	17,038	06/20/2022, 08:28 AM Last Post: Catullus
	On the [tex]2 \pi i[/tex]-periodic solution to tetration, base e	JmsNxn	0	4,151	09/28/2021, 05:44 AM Last Post: JmsNxn
	Complex Tetration, to base exp(1/e)	Ember Edison	7	26,355	08/14/2019, 09:15 AM Last Post: sheldonison
	b^b^x with base 0<b<e^-e have three real fixpoints	Gottfried	1	10,238	11/07/2017, 11:06 AM Last Post: sheldonison
	Base units	Xorter	0	5,901	01/22/2017, 10:29 PM Last Post: Xorter
	tommy's simple solution ln^[n](2sinh^[n+x](z))	tommy1729	1	10,079	01/17/2017, 07:21 AM Last Post: sheldonison
	Mutliplication of base units	Xorter	0	5,296	10/02/2016, 04:47 PM Last Post: Xorter

View a Printable Version

Users browsing this thread: 1 Guest(s)

Login
Username:
Password:	Lost Password?
	Remember me