01/19/2021, 03:01 AM
I totally get how analysis is the art of approximating, and complex analysis is the art of approximating uniformly. Don't go thinking I'm staring at excel sheets all day though, lmao! To me it's all just the manipulation of symbols and getting a feel for them. I never numerically evaluate; which is probably a bad thing, but as long as the \( \epsilon/ \delta \) is there, who cares what the graph looks like or what the numbers are. Numbers can lie, \( \epsilon/\delta \) can't. If all us analysts were is big calculators approximating, the riemann-hypothesis wouldn't even be a problem. (What are we at now, 200 trillion zeroes found on the critical line? surely! that's enough.) lol.
Thanks for the nod about the compositional integral. It was the most non-commutative algebra I could really get into; I probably have a few typos in that paper, it took a chunk out of me. But I'm proud of how I designed the notation, and yes it does take a lot from category theory. I had help...<_<
Thanks for the nod about the compositional integral. It was the most non-commutative algebra I could really get into; I probably have a few typos in that paper, it took a chunk out of me. But I'm proud of how I designed the notation, and yes it does take a lot from category theory. I had help...<_<