alright just for fun: AMA but only about math, will attempt to speed-explain stuff with as few symbols and equations as possible and see what happens
(esp happy to field questions about stuff that seems basic to you and that you feel like you should've gotten a long time ago!)
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Why are Lagrangian mechanics and Hamiltonian mechanics the same, words and pictures only please and no coordinates
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sadly i do not have a good answer to this question and it also confuses me 😕 there is something important about legendre transforms but i don't grok it yet