It’s been a while since I’ve done my Applied Computational Math Sciences degree, but I still appreciate seeing mathematically oriented posts like this on HN!
most of my recent post are about math, since it is the only matter that matter.
This made a noticeable woosh sound as it went right over my head. How the hell does a polynomial "wiggle"?
But the Chebyshev polynomials, especially in their recursive definition, are a stroke of genius.
> How the hell does a polynomial "wiggle"?
I believe they’re defining “wiggle” as just the slope/rate of change/derivative
Exactly.
Wiggling feels more like a second-derivative thing to me but that's discussed too - Chebyshev polynomials max out the second derivative as well as the first.