Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
[Regular tetration] [Iteration series] norming fixpoint-dependencies
#2
I have added a plot of the principle of norming.
For the plot I took my old norming where I identify height h=0 in the middle segment by
Code:
.

   x0 = 1                                     // height(x0) is zero y initial definition
   x1 = tet0 (x0,  Pi*i / ln(fp0) )      // real part of height(x2) is zero
      x1_2 = log_b(log_b(x1))            // shift height of x1 to avoid overflow in the next
   x2 = tet1 (x1_2, Pi*I/ln(fp1))     // height(x2) = -2  using tet1-functions (using fp1)

   

Gottfried
Gottfried Helms, Kassel
Reply


Messages In This Thread
RE: [Regular tetration] norming fixpoint-dependencies - by Gottfried - 07/28/2010, 09:49 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Perhaps a new series for log^0.5(x) Gottfried 3 412 03/21/2020, 08:28 AM
Last Post: Daniel
Question Taylor series of i[x] Xorter 12 12,662 02/20/2018, 09:55 PM
Last Post: Xorter
  Iteration exercises: f(x)=x^2 - 0.5 ; Fixpoint-irritation... Gottfried 23 31,983 10/20/2017, 08:32 PM
Last Post: Gottfried
  (Again) fixpoint outside Period tommy1729 2 2,619 02/05/2017, 09:42 AM
Last Post: tommy1729
  An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 13,005 01/14/2017, 09:09 PM
Last Post: Vladimir Reshetnikov
  Complaining about MSE ; attitude against tetration and iteration series ! tommy1729 0 1,737 12/26/2016, 03:01 AM
Last Post: tommy1729
  2 fixpoints , 1 period --> method of iteration series tommy1729 0 1,787 12/21/2016, 01:27 PM
Last Post: tommy1729
  Taylor series of cheta Xorter 13 13,736 08/28/2016, 08:52 PM
Last Post: sheldonison
  Polygon cyclic fixpoint conjecture tommy1729 1 2,342 05/18/2016, 12:26 PM
Last Post: tommy1729
  The " outside " fixpoint ? tommy1729 0 1,574 03/18/2016, 01:16 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)