A few weeks ago I posted a fun Math/DS question on Twitter that got some really great replies. Figured I’d repost here in case any of you have your own favorite answers.
Here’s the tweet:
And here’s the question:
Consider the Lp norm for p>2 but not the infinity norm. Tell me p and an application space where this norm is right/good/useful/captures some important structure.
Some of my favorite replies:
- Finite norms are all equivalent except for p1 & p2, up to constants https://twitter.com/FrnkNlsn/status/1444884267830427648?s=20
- If p is even it’s equivalent to a polynomial normalization https://twitter.com/BruceReznick/status/1445373515989983236?s=20
- Barry-essen: https://twitter.com/Patrisimoose/status/1444789840697073668?s=20
- Minimizing degree-p polynomials: https://twitter.com/AlexShtf/status/1445089117809827840?s=20
What about yours? Any examples you find especially interesting or beautiful? Have you used any of the above in a real application?