3 ms·
Thanks for the intro to “e” notation for differentiation! Formally, it’s just e = dx, with implicit dx -> 0, semantically, but seems so much easier to think ab
by Nevermark 3y ago
Thanks for the intro to “e” notation for differentiation!
Formally, it’s just e = dx, with implicit dx -> 0, semantically, but seems so much easier to think about as just e^2 = 0, in practice.
Never came across that.
- seeknotfind 3y agoI guess they use epsilon, not e. https://en.m.wikipedia.org/wiki/Automatic_differentiation https://en.m.wikipedia.org/wiki/Automatic_differentiation Do you have a source for e = dx perspective? I haven't seen it explained this way before.
- Nevermark 3y agoDerivative of f = (f(x + dx)-f(x))/dx as dx -> 0 Which is to say: 1) create the function f(x + dx) 2) ignore (subtract away) the terms not proportional to dx 3) of the terms proportional, only care about terms minimally proportional (i.e. divide by dx, keep terms no longer proportional to dx, eliminate any still proportional to dx.) The last step corresponds to eliminating terms proportional to dx^2 or higher