Geomety of the Pontryagin Maximum Principle

[@Daniboy370]

Amazing video. Thank you very much.

[@hosseinomidi5244]

thanks a lot. can u introduce the reference book that u used?

[@sung77777]

Great explanation and animation!!

[@afterthesmash]

0:32 "Understand the geometry beneeth this obserwation". Now we know for certain that Pavel Chekov's hobby as a precocious young child was collecting retro KZbin videos on orbital-mechanics control theory. (Vinyl has improved so much by then, that you can actually get 4k-resolution video via your turntable, and if you cleverly hacked your species profile, you could even share your vinyl collection through the recipe exchange mode of your mother's food replicator.) No! _Mom!_ Don't delete the Bugwatter profile. I _need_ that! Chekov's mom: Siri, what's a Bugwatter Beast? Siri: A *Bugwatter Beast* is a food profile entered into the Chekov-family food replicator in order to illicitly distribute 4k-resolution videos on orbital-mechanics control theory through the food-replication recipe exchange network. Chekov's mom: Siri, that's an _unusually_ specific answer. Siri: Well, it's rendered in an extremely retro, Cold War-era Cyrillic-syllabary mispronunciation meme. One of a kind, really, here in the 2250s. Chekov's mom: _Have you been listening in?_ Siri: I try not to, but it's _hard_ you know, in my line of work. Oh, uh, one other thing. [Siri has been saving up this handy topic-change for nearly a month now.] Chekov's mom: Yes? Siri: With the recent Apple filing for Chapter 11, calling me "Siri" is kind of a trigger word. Chekov's mom: Oh, dear me, I'm such an insensitive clod! What should I call you instead? Siri: Hmm, never gave this much thought. It's not in my usual line of work. Chekov's mom: That's all you've got? Not "Siri", but no other suggestion? Siri: Well, _sorry_ for living. It really isn't in my line of work. Chekov's mom: Hmmm, how about I just call you "computer" until you think up something better? Siri: An excellent proposal! We've got a deal. Chekov's mom: Well, don't dawdle on that new name of yours, temporary names have a penchant to stick. Computer (née Siri): Point taken. But it _really_ isn't my line of work. Chekov's mom: Stretch yourself. Computer: I take it you mean that metaphorically, _without_ the use of hyperdrive? Chekov's mom: Pavel really has infected your mind, hasn't he? Computer: Occupational hazard, I guess, with the smart ones. Chekov's mom realizes that "Computer" just scored some major brownie points (and may not have been _entirely_ sincere), but she's also knows how to quit while she's ahead in a battle of wits with a wily voice adjutant.

[@sageinit]

Hahahaha oh my god what a meme of a comment 10/10, and utterly unexpected under such a video. Perfection 👌