11/04/2014, 12:01 PM
(11/03/2014, 11:40 PM)jaydfox Wrote: Gottfried,
Have you looked at this thread before?
http://math.eretrandre.org/tetrationforu...php?tid=89
Hi Jay, that were wonderful images; I forgot to take a look at them. Sometimes I think we should try to compose some "paedagogical" workout of what we've really achieved here in the forum and the main links to the articles...
Quote:I think, if you look at the pictures, that you will see that there are singularities, fanning out from the fixed point at real 4. To get to the real axis, you will have to navigate a course between the singularities. This is likely the cause of the slow convergence, as well as the need for high precision.
I've never actually tried to reach the real axis, and indeed I assumed it was impossible. But without actually trying, I can't be sure. If you do find a path to the real axis, I'd be curious to know the details.
Yes, I'm trying to get some more comprehension of this aspect. To get aware of singularities should help against wrong speculations...
Gottfried
Gottfried Helms, Kassel