Tootfinder

„Die goldenen 20er“-Mottoparty. 50er-Jahre-Party. 70er Discoparty. 80er Mottoparty.
Man liest oder hört sehr selten was von 30er oder 40er Mottoparties. #justthinkin

This https://arxiv.org/abs/2408.04287 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A note on surjective cardinals
For cardinals $\mathfrak{a}$ and $\mathfrak{b}$, we write $\mathfrak{a}=^\ast\mathfrak{b}$ if there are sets $A$ and $B$ of cardinalities $\mathfrak{a}$ and $\mathfrak{b}$, respectively, such that there are partial surjections from $A$ onto $B$ and from $B$ onto $A$. $=^\ast$-equivalence classes are called surjective cardinals. In this article, we show that $\mathsf{ZF}+\mathsf{DC}_κ$, where $κ$ is a fixed aleph, cannot prove that surjective cardinals form a cardinal algebra, which gives a ne…

Gradual Metaprogramming
Tianyu Chen, Darshal Shetty, Jeremy G. Siek, Chao-Hong Chen, Weixi Ma, Arnaud Venet, Rocky Liu
https://arxiv.org/abs/2506.09043 htt…

Gradual Metaprogramming
Data engineers increasingly use domain-specific languages (DSLs) to generate the code for data pipelines. Such DSLs are often embedded in Python. Unfortunately, there are challenges in debugging the generation of data pipelines: an error in a Python DSL script is often detected too late, after the execution of the script, and the source code location that triggers the error is hard to pinpoint. In this paper, we focus on the F3 DSL of Meta (Facebook), which is a DSL embedded in Python (so it …

This https://arxiv.org/abs/2308.07851 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An imperceptible connection between the Clebsch--Gordan coefficients of $U_q(\mathfrak{sl}_2)$ and the Terwilliger algebras of Grassmann graphs
The Clebsch--Gordan coefficients of $U(\mathfrak{sl}_2)$ are expressible in terms of Hahn polynomials. The phenomenon can be explained by an algebra homomorphism $\natural$ from the universal Hahn algebra $\mathcal H$ into $U(\mathfrak{sl}_2)\otimes U(\mathfrak{sl}_2)$. Let $Ω$ denote a finite set of size $D$ and $2^Ω$ denote the power set of $Ω$. It is generally known that $\mathbb C^{2^Ω}$ supports a $U(\mathfrak{sl}_2)$-module. Let $k$ denote an integer with $0\leq k\leq D$ and fix a $k$…

»Wir möchten uns bei allen Influencern entschuldigen, die sich von unserem Video verletzt fühlen.«
Das ist die absolute Wahrheit von den Influncer*innen, denen viel wahrhaftig emotional glauben und deren Waren Leben auf YouTube, Instagram, TikTok & Co. etc. gespannt mitverfollgen.
📺 https://www.youtube.co…

qa_user: User interactions on Q&A websites (2016)
Networks of interactions among users from four online Q&A sites: Stack Overflow, Math Overflow, Super User, and Ask Ubuntu. A directed edge (i,j) indicates a user i responded to user j's post. Edges are timestamped. For each Q&A site, four differently defined networks are provided, based on the definition of an edge: (i) a user answered a question, (ii) a user commented on a question, (iii) a user commented on an answer…

Wahrscheinlich will mich die Union ja auch einfach motivieren ganz hart dran zu arbeiten so viel zu verdienen (180000€), daß ich von den kommenden Steuersenkungen auch optimal profitieren kann.
Wenn Erntehelfys und Putzkräfte dadurch entsprechend motiviert sind, und dann auch über 180000€ im Jahr machen, dann muß auch niemand mehr aufstocken. Mit Mindestlohn müssen sie dazu auch nur 270h/Woche bzw. 45h/Tag (bei einer 6-Tage-Woche) arbeiten.

🇺🇦 #NowPlaying on KEXP's #MorningShow
Matt Berninger:
🎵 Inland Ocean
#MattBerninger
https://mattberninger.bandcamp.com/track/inland-ocean
https://open.spotify.com/track/0Y6S6q1YUKcr9kWCnIVXDG

Beautiful palettes based on art for R and python: #rstats #ggplot

GitHub - BlakeRMills/MetBrewer: Color palette package in R inspired by works at the Metropolitan Museum of Art in New York
Color palette package in R inspired by works at the Metropolitan Museum of Art in New York - BlakeRMills/MetBrewer

On ordering of surjective cardinals
Guozhen Shen, Wenjie Zhou
https://arxiv.org/abs/2507.04028 https://arxiv.org/pdf/2507.04028

On ordering of surjective cardinals
Let $\mathrm{Card}$ denote the class of cardinals. For all cardinals $\mathfrak{a}$ and $\mathfrak{b}$, $\mathfrak{a}\leqslant\mathfrak{b}$ means that there is an injection from a set of cardinality $\mathfrak{a}$ into a set of cardinality $\mathfrak{b}$, and $\mathfrak{a}\leqslant^\ast\mathfrak{b}$ means that there is a partial surjection from a set of cardinality $\mathfrak{b}$ onto a set of cardinality $\mathfrak{a}$. A doubly ordered set is a triple $\langle P,\preccurlyeq,\preccurlyeq^\ast…