geometric function theory ideas
I think all the ideas about uniqueness conditions and derivatives might have benefit from the viewpoint of geometric function theory.

We might set conditions like min area of the range and such and those are related to the taylor coefficients by the formulas from geometric function theory.

its like a mix between a system of equations  and an optimization condition.

in particular andrew / peter walker slog equations might be improved or made unique with that ; it like a linear optimization system.

Lagrange multipliers and lin alg can then be used and many more.

I think this is the correct way to " correct " the linear interpolation idea for tetration, ( hoosmand tetration ) since a small area is the shortest area between regions as analogue as a line is the shortest between points.



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