〈 Berger | Dillon 〉

hahha do you have a feature request?

more Lie groups and why they're important for physics SU(2) SO(3) ...E8?!!?!

yes yes yes!!! but I can't just jump right into those guys haha.. U(1) is just as important as those as it's isomorphic to SO(2)!

so i mean if you already have a plan then that's the "more" i want i'm just an impatient little vampire girl

(and i'm still noodling over your stupid distance-from-point-on-x-axis-to-point-on-unit-circle integral; not sure if you think of it that way but that's one of the things it is)

are you talking about the log one?

yep 1 - 2*a*cos(θ) + a^2 = sin^2(θ) + cos^2(θ) - 2*a*cos(θ) + a^2 = sin^2(θ) + [a - cos(θ)]^2 = the square of the distance from (a, 0) to (cos(θ), sin(θ)) maybe that has nothing to do with how to solve it but it's what immediately came to mind