i'm re-learning calculus and decided to do it in public to start, what are your favorite visual intuitions for the chain rule? the best one i can come up with: stack two graphs. the top one is g(f(t)), so the x axis is f(t). the bottom one is t vs. f(t), but rotated 90 degrees

what are your favorite intuition-building exercises for multivariate calculus? think basics -- gradients, jacobians, the chain rule, etc. looking for stuff that's going to build visual intuition especially

what tools do you like to use to map out your internal state with respect to a broad program of research? mind-mapping? something closer to hypercard? jut a big whiteboard and/or stickies? especially looking for something conducive to creativity

math friends - what is your emotional experience of doing math? where does it hurt? where does it feel good?

here's one why is it that the gradient is orthogonal to the tangent plane of a function? no calculations please, intuition only

the tragedy (and perhaps comedy) of multivariable calc is it's made of just a small handful of very intuitive concepts that are largely ignored in favor of mountains of inscrutable calculations thank goodness that's the only subject like that

i am pleased to announce i have reached the step of my research journey where i no longer know what a plane is

starting to learn about grothendieck's model of practice via David Bessis' phenomenal "mathematica" -- math is the act of refining your intuition by constantly exposing its weakness no surprise then that the main challenge can be the pain

we remembered the cypher but forgot the punk

going to start using "it is known amongst the Dothraki" instead of proving tedious results

not sure if i should be disappointed that o1 still doesn't have good intuition for mathematical defi, or relieved

the more i study AMMs, the less i understand them

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