chobytes

Seems kind of pointless. The tech for tracking is widely available and straightforward to use. Has been for decades.

3blue1brown has a great geometric LA series on youtube.

While I appreciate the effort the author has clearly put in here, Im not sure the visualization provides much in the way of practical intuition. These seem to essentially be mechanistic explanations of the rote bits of matrix math.

There are already rich geometric interpretations which provide useful intuition for that generalizes, rather than just demonstrating mechanical details.

Used it for like a year before switching to opensuse tumbleweed. For rolling release Ive found it to be a lot more stable, though some of more obscure packages I use are harder to obtain.

What country are you in out of curiosity?

+1 I find it hard not to read that sort of writing style as condescending.

Classic problem of trying to draw definitive lines between these things. I would guess this is more motivated by the social aspects of academics today than any real issue.

In any event reading the work of philosophers has certainly made me a better thinker and mathematician. Without a broad base of thought one can easily get sucked into many intellectual traps and tar pits. In my case, I found Penelope Maddy and Wittgenstein to be helpful when I was figuring out what math "is".

Maybe Schroder-Bernstein could simplify. Easier to write 2 injections.

There is a general notion of derivations I believe theyre using. Ie anything that obeys the Leibniz rule (fg)' = f'g+fh'.

Its an informative exercise to see how many of the standard rules of calculus can be derived using just this rule.

Ah, I think I see. Open sets are just how we encode information topologically. Theyre sort of the "atoms" of topology; the types of opens sets you have say how the topology behaves.

In particular open sets are neighborhoods of all of the points they contain. This means they contain all the topological information about all of their points.

Closed sets are not neighborhoods of their points in general. Eg [0,1] contains no neighborhood of 0 or 1. Then we would require knowledge of the space around those points to know how a function behaves just on [0,1].

In standard calculus this amounts to "taking the left and right limits".

Does that help?

Can you give an example of what you mean?

The concept of a derivation on types could be interesting... but the notation is a bit much for me.

Differential fields are (as I understand it) a hot topic at the moment. Maybe there is some interesting crossovers.

Congratulations! Ive been following development with your blog/yt for a bit, so Im excited to finally check it out.

Ime its like solving puzzles. Maybe like getting really into Go or some similar game.

Fuji XEs are nice, small, relatively cheap bodies with interchangeable lenses. If youre looking for something small and know how to (or are willing to learn to) use a camera, thats what I recommend.

If portability is not a concern, you can pick up used high end Nikon DSLRs and F mount lenses very cheaply right now. Nikon is going all in on mirrorless now so this stuff is "last gen" hence cheap.

Otherwise, just avoid Canon. Theyre becoming increaingly scummy and you probably dont wanna get caught locked into their system.