Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Change of base formula for Tetration
#9
bo198214 Wrote:I believe that you have a lot of good ideas, but actually I can not quite follow your explanations. Most of your formulas comes without any justifications nor proofs.

That your formula
yields a proper tetration the resulting must at least satisfy the identities
and
if satisfies them. Can you verify this first?
Sorry, I thought it was implicit in the formula, but I've been looking at this for several days, so perhaps I just took it for granted:



The base case is guaranteed by the definition of . If you run the formula and you don't get , then your constant needs to be adjusted.
Reply


Messages In This Thread
Change of base formula for Tetration - by jaydfox - 08/12/2007, 06:39 AM
RE: Change of base formula for Tetration - by jaydfox - 08/12/2007, 09:30 PM
RE: Parabolic Iteration - by jaydfox - 08/15/2007, 09:19 PM
RE: Parabolic Iteration - by bo198214 - 08/15/2007, 09:30 PM
RE: Parabolic Iteration - by jaydfox - 08/15/2007, 11:41 PM
RE: Parabolic Iteration - by bo198214 - 08/16/2007, 08:17 AM
RE: Parabolic Iteration - by jaydfox - 08/16/2007, 05:51 PM
RE: Parabolic Iteration - by bo198214 - 08/16/2007, 06:40 PM
RE: Parabolic Iteration - by jaydfox - 08/16/2007, 09:47 PM
RE: Parabolic Iteration - by bo198214 - 08/16/2007, 10:07 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Complex Tetration, to base exp(1/e) Ember Edison 7 1,022 08/14/2019, 09:15 AM
Last Post: sheldonison
  Recursive formula generating bounded hyper-operators JmsNxn 0 1,330 01/17/2017, 05:10 AM
Last Post: JmsNxn
  Is bounded tetration is analytic in the base argument? JmsNxn 0 1,165 01/02/2017, 06:38 AM
Last Post: JmsNxn
  Extrapolated Faá Di Bruno's Formula Xorter 1 1,862 11/19/2016, 02:37 PM
Last Post: Xorter
  [2015] 4th Zeration from base change pentation tommy1729 5 5,249 03/29/2015, 05:47 PM
Last Post: tommy1729
  Conjecture on semi-exp base change [2015] tommy1729 0 1,551 03/24/2015, 03:14 PM
Last Post: tommy1729
  tetration base sqrt(e) tommy1729 2 3,063 02/14/2015, 12:36 AM
Last Post: tommy1729
  Explicit formula for the tetration to base [tex]e^{1/e}[/tex]? mike3 1 2,699 02/13/2015, 02:26 PM
Last Post: Gottfried
  tetration base > exp(2/5) tommy1729 2 2,843 02/11/2015, 12:29 AM
Last Post: tommy1729
  about power towers and base change tommy1729 7 7,461 05/04/2014, 08:30 AM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)