08/03/2022, 08:17 AM
Again, bo. I agree with everything. But you summarize my disagreement in the statement:
\[
|z| < \frac{1}{|2^t -1|}\\
\]
That's a real iteration. Sure, then that's the regular iteration.
Then, LOCAL ITERATION, as I described is an entirely different idea.
WE MUST BE ABLE TO FIX \(\delta\) in
\[
|z| < \delta\\
\]
What you have produced is a regular iteration, that IS NOT A LOCAL ITERATION.
So you have admitted that when I say local iteration it is not a regular iteration. And the definitions intersect, but are not the same.
There can be no local iteration about two fixed points. And you are trying to prove something I absolutely agree with. But our definitions do not align. And your statement that a local iteration is regular iteration is false.
\[
|z| < \frac{1}{|2^t -1|}\\
\]
That's a real iteration. Sure, then that's the regular iteration.
Then, LOCAL ITERATION, as I described is an entirely different idea.
WE MUST BE ABLE TO FIX \(\delta\) in
\[
|z| < \delta\\
\]
What you have produced is a regular iteration, that IS NOT A LOCAL ITERATION.
So you have admitted that when I say local iteration it is not a regular iteration. And the definitions intersect, but are not the same.
There can be no local iteration about two fixed points. And you are trying to prove something I absolutely agree with. But our definitions do not align. And your statement that a local iteration is regular iteration is false.
