@Canageek i mean, quantum chemistry *is* a thing i am interested in. i generally want to have a good grasp on physics, and strange math that has strange physical consequences is more compelling to me than strange math by itself.

@kumamushi doubly cursed

@haskal yeah. my mistake was, honestly, thinking infinity for reals was the same kind of thing as infinity for natural numbers. and it really isn't.

okay. yeah, i see what the problem is here now. it's an obscured case of how fucky it can be to group and rearrange infinite sums of things.

thanks y'all for humoring me :3

@aschmitz because i think of infinity as something more like "you can do this as many times as you want" for some bottom-up discrete process, like i have here.

though, yeah, you could also then pick any arbitrary part of a period after however many cycles of this, and say the integral as a whole is the result of that integral. so it really is any number you want within a certain interval lol

this, i think, actually brings up an interesting philosophical point about what infinity even means in a thing like this.

i personally don't think completed/definite infinity is even a real thing, but instead it's a process of building up that never terminates.

and that viewpoint shows in this sketch of maybe-proof. but if you do think there's a definite infinity, then this makes no sense. what's sine of infinity? this doesn't converge to any limit.

oh I just came up with a terribly cursed thing that I'm not sure is mathematically valid?

the integral of sin(x) from 0 to infinity is actually zero.

if we take the integral from 0 to 2*pi, it is zero. by symmetry the integral of every such period is zero. if we take the sum of every such period's integral, which is infinitely long, we get an infinite sum of zero, which is zero.

re: a very old thread

@sobsz oh! well. for me, it was a combination of accepting things about myself (including my own feelings), getting treatment for my adhd and depression, and having space to work my stuff out and recover from burnout

@BestGirlGrace you must really love compiling, huh?

open to look at a thing in a bag

@SapphicGiraffic i think that's what escaped

@Triplefox hehe. i think it's pretty good to have a totally analog way to do it. especially if the only things you need are a bunch of rocks and an ordering system

@Colophonscrawl it really is

- Classification
- drawn with a very fine camel hair brush

- Search strategy
- topological random walk

- MtG colors

- Location
- Duwamish land

frizzy nerd & creature of the matrix, figuring out embodied reality | she/her or they/them | fox whom cat sometimes | existing for 30 years so far | post-rationalist otherkin plural weirdo

warning: this is rapidly evolving research software

furry code: FCFm3acm A--> C+ D H++ M+~ P+ R T+ W- Z Sf+ RLCT>AT a cbl+++~bl--- e++>+++ f++ h++ i++>+++ j+ p-- sf++

gnu natalie nguyen, sophia butler, and all our other siblings, who we've perhaps never met and now won't ever 🕯️

avatar by @drawcat

Joined May 2019