Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Tetration is pentation. This deserve more thinking.
#1
Possibly iterated left bracket tetration has a way to solve real exponents of right bracket tetration.

Here the bracket shows the place where, the result of the last iteration, is placed on the next iteration.
Common tetration is right bracket, and the weak alternative is left bracket:



where

Note that

Let be
And in general, n iterations: this is actually a form of weak pentation, because is an iteration of a weak form of tetration.

In some sense, tetration is a form of pentation, and we are trying to solve a pentation without understanding his base tetration.

Note that if we solve this iteration for , we also solve tetration to any real exponents.
Reply


Messages In This Thread
Tetration is pentation. This deserve more thinking. - by marraco - 03/30/2015, 12:30 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  pentation and hexation sheldonison 9 12,899 09/18/2019, 02:34 PM
Last Post: sheldonison
  [2015] 4th Zeration from base change pentation tommy1729 5 7,951 03/29/2015, 05:47 PM
Last Post: tommy1729
  Mizugadro, pentation, Book Kouznetsov 41 62,981 03/02/2015, 08:13 PM
Last Post: sheldonison
  New thinking about math infinity MikeSmith 0 3,400 10/14/2013, 11:18 AM
Last Post: MikeSmith
  Infinite Pentation (and x-srt-x) andydude 20 32,948 05/31/2011, 10:29 PM
Last Post: bo198214
  Regular "pentation"? mike3 12 25,495 04/04/2011, 03:16 AM
Last Post: BenStandeven
Smile Pentation roots self but please you do... nuninho1980 2 8,274 11/03/2010, 12:54 PM
Last Post: nuninho1980
  Pentation's definitional ambiguity Base-Acid Tetration 14 26,997 12/15/2009, 11:23 PM
Last Post: Base-Acid Tetration
  Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation Base-Acid Tetration 19 37,576 10/24/2009, 04:12 AM
Last Post: andydude
  Exploring Pentation - Base e jaydfox 22 44,990 03/03/2008, 08:04 PM
Last Post: Ivars



Users browsing this thread: 1 Guest(s)