Worked on the website using the lua templating. On my filesystem, I tentatively named the project folder as goom-temple, which actually sounds inappropriate since goom jokingly refers something specific for a certain shark fanbase, but it doesn't matter, it's just a temporary name. For brevity, I'll refer to this project as SN (slacker news) for now.
As expected, I haven't done much for today, most of which are scaffolding stuffs for the overall project structure. I also properly configured my neovim lsp this time, both for lua and go.
Okay, I think I am infinitely close to understanding what the heck increment theorem is supposed to mean.
- I have a shitty curve f(x)
- derivative of f(x) is f'(x), which just maps x to a slope
- I can use the slope f'(x) to create a straight ass linear curve l(x)
Then at point [x, f(x)] and another point [x+∆x, f(x+∆x)] The change in y (f(x+∆x) - f(x)) along the f(x) is called "increment of y"?, notated as ∆y The change in y (l(x+∆x) - l(x)) along the l(x) is called "differential of y, notated as dy
The increment theorem says that the distance between ∆y and dy is εΔx, not that it helps why that matters.
Then somewhere in the book says that
∆y/∆x ≈ f'(x) (squiggly equal lines) and
dy/dx = f'(x)Well technically, any number x ≈ x since x-x = 0 + ε, so it could be that both ∆y/∆x ≈ f'(x) and ∆y/∆x = f'(x) is true.
Oh well, I may need to consult an alternative resource for a different explanation. At least for the increment theorem. I understood well what derivative and differential means. I should probably reviews the definitions for infinitesimal as well.
I wiped my most of my rocketbook pages, so I could have more space for weird symbols to scribble on.
