Some "Theorem" on the generalized superfunction

[Leo.W]

Again, Leo.

[...]

This is really fascinating though, Leo. I really appreciate your dialogue.

Regards.

It's really nice to communicate!

I'm unfamiliar with the word's tone while speaking in English... Maybe I'm speaking in a very serious way, or it makes you uncomfortable or feel like I want to modificate something... not at all~ I apologize for my mistakenly-placed tones or wrong words or sentences... It's not what I meant lol maybe this is cult gap?(sorry again, I'm still learning in slangs and routine dialogues and which words or phrases are to avoid)
And I'm rushing because I'm a fan since 2 years ago!!! at that time I really wanna join you all but my poor English confined me  So the words accumulated and I'm over excited and I poured them ...maybe in an inappropriate way, plz forgive my manner

I'm more like uh, riemann surfaces are exactly a set of branch cuts, so when I say choosing different branches, it's the same as choosing a value in the riemann surface, or we just focus on a piece, a sheet of the whole riemann surface, therefore it is easier to compute.
(About branch cuts) The wikipedia article states "Multi-valued functions are rigorously studied using Riemann surfaces, and the formal definition of branch points employs this concept."
So the concepts are replaceable with each other. The riemann surface is more adaptive to differential forms of EDE, and so a quite powerful tool, but not easy to manipulate the composition between them. I'll try to write more about it in my later work.

We can treat multivariable iterations as one-variable iterations, you can literally choose a variable as a core, and the other variables are treated as indexes, e.g.
\( f(x,y,z)=x*y^z \), iteration with respect to the variable y:\( (f_{x,z})^2(y)=f(x,f(x,y,z),z) \)
And the eigendecompositive equation is now only defined for one-variable?(I added one-variable at the beginning)

I have my great gratitude to your patience in communicating with me! 
p.s. I'm busy with my final exams recently, during this I'll re-read what you said
p.s. Not trying to be modifying or aggresive, but my browser fails to load most of your tex formulae. only my recommendation:

Code:

[tex]something[/tex]
can be correctly loaded instead of
[tex]
something
[/tex]

Regards, Leo