I wish math notation becomes substitued with pseudocode. I can never figure out all the greek letters!
But then it wouldn't look as "scientific" (i.e. anyone could understand it, it wouldn't look complicated). At least that's what I feel like, reading and writing a bunch of papers for my master's. We are encouraged to put math stuff in ours just because it looks more theoretical that way. Whenever I do something of worth I also make sure to blog about it so I can write down in normal terms what we did and found, with…
2) I agree with the gist of your point, but I'm guessing you're being down-voted because you come off as sort of flippant. Anyhow, I've long thought that mathematics should have hover-text to help remove the mental overhead of translating the concise notation to meaningful interpretation. Obviously, using variables names like `velocity_of_thing` is much too verbose in mathematics (papers would 1000's of pages); however, β with hover-text "This is the velocity vector of the thing." would be super helpful IMO.