Tootfinder

It's time to abandon the cargo cult metaphor.
https://www.righto.com/2025/01/its-time-to-abandon-cargo-cult-metaphor.html

It's time to abandon the cargo cult metaphor
The cargo cult metaphor is commonly used by programmers. This metaphor was popularized by Richard Feynman's "cargo cult science" talk with a...

Extension category algebras and LHS--spectral sequences
Mawei Wu
https://arxiv.org/abs/2507.20588 https://arxiv.org/pdf/2507.20588

Extension category algebras and LHS--spectral sequences
Let $\mathcal{C}$ be a small category, $\mathfrak{A}$ be a precosheaf of unital $k$-algebras on $\mathcal{C}$ and $\mathfrak{M}$ be an $\mathfrak{A}$-bimodule. We introduce two new notions, namely, the Grothendieck construction $Gr_{\mathcal{C}}(\mathfrak{A}, \mathfrak{M})$ of $\mathfrak{A}$ and $\mathfrak{M}$, as well as the extension category algebra $\mathfrak{A} \ltimes \mathfrak{M}$. The extension category algebra contains the trivial extension algebra and the skew category algebra as spec…

DataSway: Vivifying Metaphoric Visualization with Animation Clip Generation and Coordination
Liwenhan Xie, Jiayi Zhou, Anyi Rao, Huamin Qu, Xinhuan Shu
https://arxiv.org/abs/2507.22051

DataSway: Vivifying Metaphoric Visualization with Animation Clip Generation and Coordination
Animating metaphoric visualizations brings data to life, enhancing the comprehension of abstract data encodings and fostering deeper engagement. However, creators face significant challenges in designing these animations, such as crafting motions that align semantically with the metaphors, maintaining faithful data representation during animation, and seamlessly integrating interactivity. We propose a human-AI co-creation workflow that facilitates creating animations for SVG-based metaphoric vi…

🇺🇦 Auf radioeins läuft...
Matt Berninger:
🎵 Bonnet Of Pins (Radio-Edit)
#NowPlaying #MattBerninger
https://mattberninger.bandcamp.com/track/bonnet-of-pins
https://open.spotify.com/track/0hLFRJetaM0qj09lyyJ9a5

Connected components in d-minimal structures
Masato Fujita
https://arxiv.org/abs/2506.21846 https://arxiv.org/pdf/2506.21846

Connected components in d-minimal structures
For a given d-minimal expansion $\mathfrak R$ of the ordered real field, we consider the expansion $\mathfrak R^\natural$ of $\mathfrak R$ generated by the sets of the form $\bigcup_{S \in \mathcal C}S$, where $\mathcal C$ is a subfamily of the collection of connected components of an $\mathfrak R$-definable set. We prove that $\mathfrak R^{\natural}$ is d-minimal. A similar assertion holds for almost o-minimal expansions of ordered groups.

"La consommation d’aliments ultratransformés semble modifier la structure du cerveau d’une manière qui stimule ensuite la consommation de ces aliments, l’emprisonnant dans une sorte de « cercle vicieux »"
#malbouffe #nutriscore

On the uniqueness of Yangians
Sachin Gautam, Curtis Wendlandt, Siwei Xu
https://arxiv.org/abs/2506.21904 https://arxiv.org/pdf/2506.2…

On the uniqueness of Yangians
Let $\mathfrak{g}$ be a simple Lie algebra over the complex numbers, and let $\mathfrak{g}[u]$ denote its polynomial current algebra. In the mid-1980s, Drinfeld introduced the Yangian of $\mathfrak{g}$ as the unique solution to a quantization problem for a natural Lie bialgebra structure on $\mathfrak{g}[u]$. More precisely, Theorem 2 of [Dokl. Akad. Nauk SSSR 283 (1985), no. 5, 1060-1064] asserts that $\mathfrak{g}[u]$ admits a unique homogeneous quantization, the Yangian of $\mathfrak{g}$, wh…

Rather than embarrassing but infrequent call-outs in the Columbia Journalism Review, the #NYTimes needs regular review by a public editor.
#Journalism #Press

Parabolic Stabilization and Cutting for Reduction Superalgebras
Jonas T. Hartwig
https://arxiv.org/abs/2507.21595 https://arxiv.org/pdf/2507.21595

Parabolic Stabilization and Cutting for Reduction Superalgebras
The diagonal reduction algebra of a reductive Lie algebra $\mathfrak{g}$ is a localization of the Mickelsson algebra associated to the symmetric pair $(\mathfrak{g}\times\mathfrak{g},\, \mathfrak{g})$. In 2010, Khoroshkin and Ogievetsky introduced the methods of stabilization and cutting, which relate the commutation relations in the diagonal reduction algebra of $\mathfrak{gl}_m\oplus\mathfrak{gl}_n$ with those in the diagonal reduction algebra of $\mathfrak{gl}_{m+n}$. We extend this method t…

This https://arxiv.org/abs/2403.15001 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Torsion pairs in categories of modules on ringed finite sites
Let $\mathcal{C}$ be a small category. In this paper, we mainly study the category of modules $\mathfrak{M}\mbox{od-}\mathfrak{R}$ on ringed sites $(\mathbf{C},\mathfrak{R})$. We firstly reprove the Theorem A of the paper (M. Wu and F. Xu. Skew category algebras and modules on ringed finite sites. J. A. 631, 2023), then we characterize $\mathfrak{M}\mbox{od-}\mathfrak{R}$ in terms of the torsion modules on $Gr(\mathfrak{R})$, where $Gr(\mathfrak{R})$ is the linear Grothendieck construction of $…