corpse
@consume.red
940 followers 370 following 9.6K posts
potter's wheel's favorite daughter (laudatory)
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consume.red
"antifa" what, you hate the mohists?
Reposted by corpse
bitdizzy.bsky.social
@consume.red joining and splitting they turned zhuang zhou into a combinatorial algebra
bitdizzy.bsky.social
So like, one way to get to acquainted with the social topography of a field is to read a recent thesis in it (if there ain't recent ones everyone's dead RIP), and reference backwards through the results and problems considered important until you find a starting point you're comfortable with.
Abstract
Hopf algebras built from combinatorial objects have found application both within com-
binatorics and, following the work of Connes and Kreimer, in quantum field theory. Despite
the apparent gulf between these areas, the types of Hopf algebras that arise are very simi-
lar. We use Hopf algebra techniques to solve two problems, one coming from quantum field
theory and one from algebraic combinatorics.
(1) Dyson–Schwinger equations are a formulation of the equations of motion of quantum
field theory. From a mathematical perspective they are integro-differential equations
which have a recursive, tree-like structure. In some cases, these equations are known
to have solutions which can be written as combinatorial expansions over connected
chord diagrams. We give a new expansion in terms of rooted trees equipped with a
kind of decomposition we call a binary tubing. This is similar to the chord diagram
expansion, but holds in greater generality, including to systems of Dyson–Schwinger
equations and to Dyson–Schwinger equations in which insertion places are distinguished
by different variables in the Mellin transform. Moreover we prove these results as a
direct application of a purely Hopf-algebraic theorem characterizing maps from the
Connes–Kreimer Hopf algebra of rooted trees (and variants thereof) to the Hopf algebra
of univariate polynomials which arise from the universal property of the former.
(2) A pair of skew Ferrers shapes are said to be skew-equivalent if they admit the same
number of semistandard Young tableaux of each weight, or in other words if the skew
Schur functions they define are equal. McNamara and van Willigenburg conjectured
necessary and sufficient combinatorial conditions for this to happen but were unable to
prove either direction in complete generality. Using Hopf-algebraic techniques building
on a partial result of Yeats, we prove sufficiency.
consume.red
i cannot find it rn but i know thay *somewhere* there is a feyerabend essay where he says that he edited it by striking out all the normal bits and replacing them with things meant to make people mad
consume.red
searingly beautiful rendition of one of my favorite feldman works
consume.red
nooooooooooooooooo
consume.red
paul feyerabend:
ponder.ooo
how do i make my posts more provocative without sacrificing their perfect truth
consume.red
my overhoved, shrillgleescreaming wedding
consume.red
not really an exaggeration to say that nearly everything good in my personal life is downstream of Posting
consume.red
realized transition was a thing i could do
consume.red
met my wife
conradhackett.bsky.social
Has anything great happened in your life because of social media?
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lalonde.bsky.social
oh you care about optics? cool. what's the equation for single slit diffraction intensity then
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words.bsky.social
finnegans wake is turing complete
consume.red
is he single
consume.red
hemlock is for bottom surgery (i owe a cock to asclepius)
consume.red
my boyfriend made me a Pharmakon (healing tonic that kills me instantly) but i prepared it with a lower-than-recommended concentration so it will probably kill me slowly and agonizingly
consume.red
i'm like kubrick with a 3x3x3 cube of rotating bricks
kenny-loggoff.bsky.social
stanly kubrick also inventor of kubricks cube
consume.red
the shaman all seasons' end, master flagon, liezi
andy reid (gruff and proper), travis kelce (schlub), patrick mahomes (pink tie and red checkered vest with noticeable boobs) sitting at a table
consume.red
body is winning
consume.red
i am done being sick but my body feels differently
consume.red
“I am glad,” said Rose. Then Rose and Ren went right to sleep.
consume.red
birds are known for that
consume.red
they should discover a new heron species and name it Egretta gilscott