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eulersleftshoe.bsky.social
hippasus hater
@eulersleftshoe.bsky.social
31 followers 140 following 62 posts
math grad at a school somewhere
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eulersleftshoe.bsky.social
(where l = p^k)
An outline of Florida (FL) labeled as the finite field F_l.
March 26, 2025 at 5:24 PM
eulersleftshoe.bsky.social
🚨🚨🚨CONTRIVED IDENTITY TUESDAY (PT 2)🚨🚨🚨
Nested root and continued fraction expansions of the functions 1+sqrt{n+1}
March 25, 2025 at 9:23 PM
eulersleftshoe.bsky.social
🚨🚨🚨CONTRIVED COMBINATORIAL IDENTITY TUESDAY🚨🚨🚨
The sum of odd powers of sine is an ordinary generating function for the absolute value of the Euler numbers shifted positively by 1.
March 4, 2025 at 8:24 PM
eulersleftshoe.bsky.social
probability plot of beef
probability plot of beef
probability plot

of beef.
December 3, 2024 at 2:52 PM
eulersleftshoe.bsky.social
thankfully for our purposes, (n,q choose k) is rather well understood and is called the polynomial coefficient. from Montel, 1942 we have an integral representation for (n,q choose k)
(9/10)
\binom{n,q}{k} = \dfrac{2}{\pi} \int_{0}^{\pi/2} \left(\dfrac{\sin{q\phi}}{\sin{\phi}}\right)^{n} \cos{((n(q-1)-2k)\phi)} d\phi
November 28, 2024 at 2:07 AM
eulersleftshoe.bsky.social
confirming my previous post about nerdsniping and combinatorics, i got got by this xkcd
(1/10)
Five people sit at a table playing D&D. A player asks the DM "I grab 2 of the 10 arrows without looking and fire them, hoping I didn't grab one of the 5 cursed ones. Did I?" The DM responds "Sigh. Umm. Okay. \n Roll... Uh... Hang on... \n Roll 3d6 and a d4. You need... 16 or better to avoid the cursed arrows." The image is captioned "I got *way* more annoying to play D&D with once I learned that our DM has a combinatorics degree and can't resist puzzles.
November 28, 2024 at 2:07 AM
eulersleftshoe.bsky.social
when my girlfriend calls the proof i’ve been working on a “silly little puzzle”
Still of Gob Bluth from Arrested Development saying “Illusions, Michael. A trick is something a whore does from money… or cocaine.”
November 11, 2024 at 2:20 AM
eulersleftshoe.bsky.social
are there really congressional staffers who see these on the metro and go on to put a good word in with their boss?
November 11, 2024 at 2:01 AM
eulersleftshoe.bsky.social
the fuzzy logicians are scrambling
November 10, 2024 at 1:36 AM
eulersleftshoe.bsky.social
a bug’s life is horror—they’re far too smooth
November 10, 2024 at 1:16 AM