Bad day

 Added 2022-07-31

Basically no work done, had to watch my brothers till 12pm, then had a headache (possibly because I didn't go running) and got no work done.

Main good thing today: Getting better at meditation! For a period of 5-10mins of my meditation I didn't want to stop, I was feeling at peace.

Had to pack my bags, listened to ML street talk while packing. epiphany: ReLU is piecewise linear, meaning neural networks are piecewise linear! There's a paper going into more details here, when I want to understand deep learning (and interpretability) I'll look into this.

Tried to write outline to a calculus course, kept bouncing off. Perhaps I should go through more iterations / guinea pigs first? I need to update the calculus-done-right website sometime if I'm going to do this. Replace the site with a syllabus.

Read calculus made easy for an hour, the first 3 chapters are exceptional, though I take issue with how some things are done. Deriving the quotient rule using algebraic division sucks compared to using the product rule

y=u/v  ⟹  (yv)′=u′  ⟹  y′v+yv′=u′  ⟹  y′=u′−yv′v  ⟹  y′=u′−(u/v)v′v=vu′−uv′v2\begin{aligned} y = u/v &\implies (yv)' = u' \\ &\implies y'v + yv' = u' \\ &\implies y' = \frac{u' - yv'}{v} \\ &\implies y' = \frac{u' - (u/v)v'}{v} = \frac{vu' - uv'}{v^2} \\ \end{aligned}