Is bugs or features for fatou.gp super-logarithm?
#11
(08/06/2019, 04:17 PM)sheldonison Wrote:
(08/04/2019, 07:06 PM)Ember Edison Wrote: Thank you.
by the why, how can I get the photo like this?  https://math.eretrandre.org/tetrationfor...p?aid=1311
i need some code.

Its a combination of an excel spreadsheet; uniquecharts.xls download and the circchart function I recently added to fatou_experiment  (also other cleanup and updates).  I think I'm ready to update the main fatou.gp link.  Also, I understand the singularities in the theta mapping for bases like B=0.1, and why so many sample points are needed for theta mapping (more later).  Also, I understand why there is a difficult programming problem where the slog(B=0.1) converges beautifully within a circle connecting the fixed points, but even with the theta mapping, there are points outside the circle where the computation of the Schroder function leads to the slog being misbehaved even though the slog is accurate everywhere else.  Obviously, this effects the sexp as well, since it is the inverse.   More later, time is very limited right now.
B=0.1+I*E-30; matrix_ir(B,300,300,14/15,24/25);
plot of slog between fixed points; l=0.399012978260252; l2=-0.301845266020991+1.98089260122376*I;
The two misbehaving slivers are when the algorithm for determining which branch of the logarithm of Psi is broken; but this is a very difficult programming problem and my solution works except for these Tetration bases on the real axis near the origin.
Thank you. Can the spreadsheet use in pentation and hexation at fatou.gp?
(New Edit 1): And sexpeta? 

And ……How to change the drawing area?   fuck the office16.

(New Edit 2): 
   

The circchart is work. Only map for sexpeta/slogeta are left now.
And why the name is circchart and sickle?
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
  Illustrating the Leau-Fatou flowers bo198214 14 862 10/23/2022, 07:09 PM
Last Post: MphLee
Question Derivative of the Tetration Logarithm Catullus 1 377 07/03/2022, 07:23 AM
Last Post: JmsNxn
Question Iterated Hyperbolic Sine and Iterated Natural Logarithm Catullus 2 571 06/11/2022, 11:58 AM
Last Post: tommy1729
  Can we get the holomorphic super-root and super-logarithm function? Ember Edison 10 18,477 06/10/2019, 04:29 AM
Last Post: Ember Edison
  Inverse super-composition Xorter 11 27,506 05/26/2018, 12:00 AM
Last Post: Xorter
  The super 0th root and a new rule of tetration? Xorter 4 10,119 11/29/2017, 11:53 AM
Last Post: Xorter
  Solving tetration using differintegrals and super-roots JmsNxn 0 4,010 08/22/2016, 10:07 PM
Last Post: JmsNxn
  The super of exp(z)(z^2 + 1) + z. tommy1729 1 5,401 03/15/2016, 01:02 PM
Last Post: tommy1729
  Super-root 3 andydude 10 23,136 01/19/2016, 03:14 AM
Last Post: andydude
  super of exp + 2pi i ? tommy1729 1 5,962 08/18/2013, 09:20 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)