07/01/2019, 12:11 PM
(This post was last modified: 07/11/2019, 01:37 PM by Ember Edison.)
I have been reading post in forum for two weeks. Now I feel I was too young, too simple, and naive for tetration.
I need somebody to help me clarifiy the elementary knowledge for tetration.
My understanding of the tetration is:
I need somebody to help me clarifiy the elementary knowledge for tetration.
My understanding of the tetration is:
Quote:Code definition:
=ComplexInfinity (infinite magnitude, undetermined complex phase)
Not consider the branch cut:
and:
and:
is oscillates infinitely, but maybe 0 and 1 are different branch of the infinite iterated exponential.
in other bases:
tetration, super-root and super-logarithm is infinitely differentiable. (but I wasn't find code take the derivative...)
If the bases is hyperbolic, there is only one "regular" super-function. If the bases is parabolic, will have at least 2 "regular" super-function.(Leau-Fatou-flower)
The branch cut for super-function is infinitely.
fatou.gp will use all "regular" super-function to refactoring tetration.
bases regions for tetration:
, Andrew Robbins
base=0, not supported
, unknown
, Koenig, no code
base=1, Andrew Robbins
, Koenig, fatou.gp
, Ecalle, fatou.gp
ill-region for Fatou.
other, Fatou, fatou.gp