I finally fucking figured out how to fucking interpolate a divergence free vector field (...in under O(N^3) setup and O(N) point-calc time)

all it took was a month and a half of relearning linear algebra and multivariate calculus

@Cahatstrophe yeah kde's prolly the best option de wise

it's pretty oK DEez nuts

tf2 medic is from fucking stuttgart

@stellarskylark yoo
want this for go too

is pirates calling people "me hearties" a gay thing
like
"aww, you're my heart"
"aarrrrgh, yar be me hearties"

mathematicians love to do shit like "hey what should we call the function that's 1 if its inputs are equal and 0 otherwise?" "yeah uhh how about the Kronecker delta"
"what about the operation of multiplying two vectors componentwise?" "how about a Hadamard product"
"what if we want a matrix of second derivatives?" "that's the Hessian"
"so, we have groups right? groups are cool. what do we call commutative groups?" "Abelian groups"
"hey I got some cool polynomials where, if you multiply any two, their integral over [-1,1] is 0" "uhhhh how about Legendre polynomials"
"topology is great but topological spaces where you can't properly separate elements are really weird to work with." "well why don't you only work with those separable spaces? we'll call them Hausdorff"

yknow for how "revolutionary" fast multipole methods are for efficiently computing physical fields (and efficiently computing matrix approximations) there certainly is no information on how to actually Use it.

like. please. just one thing on how in the fuck to write a fmm algorithm for 3d vector fields. I'm begging

@stellarskylark @theotheroracle https://scp-wiki.wikidot.com/scp-8008-j

wtf my fedi client just gave me "follow recommendations"

in high school there was a guy who'd keep trying to find me in order to try to convince me capitalism was good
his most memorable argument was that capitalism was good because of the heisenberg uncertainty principal

me when my family speaks a language they don't want me to learn (darija) (they want me to learn modern standard arabic instead) (there are No good resources on darija I've found like at all) (maybe there are Some in french?) (fucking hell)

or is this fluid dynamics or some shit??? idk

is there a way to extrapolate a vector field of divergence 0 from a series of points?

ahahaha ohoho
path-connected 1-dimensional cw-complices (that is to say, connected graphs) are all of freely generated fundamental group
specifically of F_{χ-1} where χ is the euler characteristic of the graph

it's so cool seeing more complicated math and how it simplifies shit

like. hatcher presents van kampen in a way that requires all cover intersections to be checked for path-connectedness n shit
but I'm looking though nlab and can, see how van kampen arises from just? pullouts being preserved by the fundamental groupoid functor
like. pushouts are just coequalizers over the coproduct! so pushouts are just quotients of the free product of groups
and you can compose pushouts (,"pasting law") which makes sense for how those weird conditions arise from just. how they compose.

idk it's cool

@tully the newer one
(number ported, and then number was reactivated on the side of the carrier it was ported out of. carrier it was ported to rings)

why tf is the coproduct in group called the free product