Post APWbGX767ns8cRrhOy by joshuagrochow@mathstodon.xyz
 (DIR) More posts by joshuagrochow@mathstodon.xyz
 (DIR) Post #APWbGX767ns8cRrhOy by joshuagrochow@mathstodon.xyz
       2022-11-11T17:51:58Z
       
       0 likes, 1 repeats
       
       Ppl rarely deal with really high-order derivatives - 1st, 2nd, sometimes 3rd, but much rarely 4th, and I'm not sure I've seen 5th in practice.Today's new thought: I think this may be the same phenomenon as ppl rarely dealing w/ math statements w/ more than a few quantifiers. (eg Limit: ∀ε∃δ. P≠NP: ∀ poly-time M, ∃x such that M(x)≠SAT(x).) It's why there aren't many natural problems beyond the first few levels of various hierarchies (Borel, arithmetic, polynomial, W). https://cstheory.stackexchange.com/a/11403/129
       
 (DIR) Post #APWbKTaz98lArnj0rY by MarisOzols@mathstodon.xyz
       2022-11-12T10:21:12Z
       
       0 likes, 0 repeats
       
       @joshuagrochow I learned from @johncarlosbaez that physicists have grate names for these higher derivatives (see picture). And I learned from @jdhamkins that mathematicians are working hard to give names to all 2^n quantifier combinations (see picture).
       
 (DIR) Post #APWbKUIwVhvD48I7NY by tiago@social.skewed.de
       2022-11-12T10:34:18Z
       
       0 likes, 0 repeats
       
       @MarisOzols @joshuagrochow @johncarlosbaez @jdhamkins Quite honestly, I've never seen these terms actually used outside of that Wikipedia page.
       
 (DIR) Post #APX5GxVQzluj6CMqNE by joshuagrochow@mathstodon.xyz
       2022-11-12T16:09:47Z
       
       0 likes, 0 repeats
       
       @tiago @MarisOzols @johncarlosbaez @jdhamkins I've heard jerk used in the wild. Eg jerk of the car is (roughly) the velocity of your foot hitting the pedal. Faster foot motion leads to a jerky ride
       
 (DIR) Post #APX5X3i1hSyqyFvzYe by tiago@social.skewed.de
       2022-11-12T16:12:45Z
       
       0 likes, 0 repeats
       
       @joshuagrochow @MarisOzols @johncarlosbaez @jdhamkins Sure, but this is just its colloquial meaning, not a technical one. I've never seen these terms used in an actual physics paper or textbook.
       
 (DIR) Post #APX7xFZ8RKtbBHONWq by GTCantwell@fediscience.org
       2022-11-12T16:39:53Z
       
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       @tiago I definitely came across jerk (and jerks) in undergrad physics classes
       
 (DIR) Post #APX8DqBe3EWHOPJeHA by tiago@social.skewed.de
       2022-11-12T16:42:53Z
       
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       @GTCantwell I can believe “jerk” — but “crackle”?In any case, I think it's fair to say these are not widely employed.
       
 (DIR) Post #APX9JBMeqB2aTZZtZo by GTCantwell@fediscience.org
       2022-11-12T16:55:01Z
       
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       @tiago Never heard of crackle.  Reminds me of the obscure collective nouns pagehttps://en.wikipedia.org/wiki/List_of_animal_names
       
 (DIR) Post #APX9fBA4HBR2DWB6K8 by tiago@social.skewed.de
       2022-11-12T16:59:02Z
       
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       @GTCantwell A female cat is a “queen”, and a male one is a “king”?This seems like an episode of “look around you”.https://www.youtube.com/watch?v=FBaVwwuErmU