"circles"? what's that? oh u mean triangles.
"nonlinear"? what's that? oh u mean u is tryna projecting it to lower dimensions u adorable earthling.
"non-differentiable"? what's... huh? *why did you put a zero there?!*
@rime i... I don't get it
I'm the earthling
fundamental theorem of calculus: "every function is the derivative of its integral"
(aka "a function is at every point equal to the rate at which its total sum up to that point grows", duh)
take f=x^2.
can visualize it as a square, x*x.
... darnit. bedtime. hmm.
so here: u can visualize f as a 2d curve, OR as the red dotted line through the cube below.
@niplav and the fact that ∫ x² dx = ⅓x³ can be seen if u turn the cube so the function grows directly out of the page: now, the integral is the blue region and the rest of the cube is the red region.
i think i figured thr was smth wrong abt this visualization but i can't recall rn...
@niplav the idea that "circles is j triangles" is sorta jokey, but sorta true! mostly untrue tho.
this note is fm last year. yes, i lurni basic calculus at the age of 31, don't judge me. i played games instead of school when i was younger.
@rime also it sounds like you're developing a really deep geometric intuition for derivative and integral, which I absolutely don't have
So learning late could be an advantage