Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Solving tetration for base 0 < b < e^-e
#7
(09/12/2009, 08:07 AM)mike3 Wrote: Hmm. However in the emails, you mentioned the use of a "multiplier" that works similar to the derivative at the fixed point but for a cycle.

Generally the multiplier of a cycle (i.e. and ) is defined as:
.

This is equal to the multiplier of at any point of the cycle (by the chain rule).

Example n=2
. If you now plug in you get and if you plug in you get the same result .

If you would depict the tangents at the left and right fixed point in the graph before, they would be parallel.

But this approach to consider already failed.
Reply


Messages In This Thread
RE: Solving tetration for base 0 < b < e^-e - by bo198214 - 09/12/2009, 08:35 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Complex Tetration, to base exp(1/e) Ember Edison 7 3,031 08/14/2019, 09:15 AM
Last Post: sheldonison
  Is bounded tetration is analytic in the base argument? JmsNxn 0 1,566 01/02/2017, 06:38 AM
Last Post: JmsNxn
  Solving tetration using differintegrals and super-roots JmsNxn 0 2,141 08/22/2016, 10:07 PM
Last Post: JmsNxn
  tetration base sqrt(e) tommy1729 2 3,673 02/14/2015, 12:36 AM
Last Post: tommy1729
  Explicit formula for the tetration to base [tex]e^{1/e}[/tex]? mike3 1 3,281 02/13/2015, 02:26 PM
Last Post: Gottfried
  tetration base > exp(2/5) tommy1729 2 3,448 02/11/2015, 12:29 AM
Last Post: tommy1729
  regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 Gottfried 7 10,132 06/25/2013, 01:37 PM
Last Post: sheldonison
  tetration base conversion, and sexp/slog limit equations sheldonison 44 60,379 02/27/2013, 07:05 PM
Last Post: sheldonison
  simple base conversion formula for tetration JmsNxn 0 3,491 09/22/2011, 07:41 PM
Last Post: JmsNxn
  Does anyone have taylor series approximations for tetration and slog base e^(1/e)? JmsNxn 18 22,930 06/05/2011, 08:47 PM
Last Post: sheldonison



Users browsing this thread: 1 Guest(s)