The other Markov's inequality

ethanepperly.com

54 pointstzury5 comments

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.

https://news.ycombinator.com/submitted?id=tzury

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.

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