Rank-Wise Approximations of Hyper-Operations

[tommy1729]

Maybe this is a dumb remark but ..

What if 2 fixpoints have the same Taylor polynomial when the fixpoints are recentered at 0 ?

So around fixpoint A we get a X + b X^2  + … ( recenter )

And the same polynomial around Fixpoint B.


The the fixpoint formulas would agree around the 2 fixpoints.

Another fixpoint in the middle might destroy the connection.

Otherwise I see little objection ?

Ofcourse you might need a periodic theta adjustment to get desirable properties such as real to real 
( kneser for instance ) 

Or even to make them analytically connected.

But what is stopping us to unite 3 fixpoints if they also locally have the same Taylor ?

—- 

Regards 

Tommy1729