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...

Mediapart, Personne n’y comprend rien. (Doku der investigativen Plattform Mediapart zu deren langjähriger Recherche zum Fall Sarkozy, die man gar nicht genug würdigen kann.)
https://www.mediapart.fr/vod/personne-n-y-comprend-rien

Personne n’y comprend rien
Achetez ou louez la VOD de « Personne n’y comprend rien », le film documentaire co-produit par Mediapart sur l’affaire libyenne, sorti à l’occasion du procès Sarkozy-Kadhafi.

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…

Spielwelten aus dem Textprompt: Meta rollt GenAI-Tools in Europa aus
Meta vereinfacht mit generativer KI die Erstellung virtueller Welten für die eigene Metaverse-Plattform Horizon Worlds.
https://www.…

An algorithm for accurate and simple-looking metaphorical maps
Eleni Katsanou, Tamara Mchedlidze, Antonios Symvonis, Thanos Tolias
https://arxiv.org/abs/2508.19810 https://

An algorithm for accurate and simple-looking metaphorical maps
"Metaphorical maps" or "contact representations" are visual representations of vertex-weighted graphs that rely on the geographic map metaphor. The vertices are represented by countries, the weights by the areas of the countries, and the edges by contacts/ boundaries among them. The accuracy with which the weights are mapped to areas and the simplicity of the polygons representing the countries are the two classical optimization goals for metaphorical maps. Mchedlidze and Schnorr [Metaphoric Ma…

Mod $\ell$ non-vanishing of self-dual Hecke $L$-values over CM fields and applications
Ashay Burungale, Wei He, Ye Tian, Xiangdong Ye
https://arxiv.org/abs/2508.19706 https://…

Mod $\ell$ non-vanishing of self-dual Hecke $L$-values over CM fields and applications
Let $λ$ be a self-dual Hecke character over a CM field $K$. Let $\mathfrak{p}$ be a prime of the maximal totally real subfield $F$ of $K$ and $Γ_{\mathfrak{p}}$ the Galois group of the maximal anticyclotomic ${\mathbb{Z}}_{p}^{deg \mathfrak{p}}$-extension of $K$ unramified outside $\mathfrak{p}$. We prove that $$L(1,λν)\neq 0$$ for all but finitely many finite order characters $ν$ of $Γ_{\mathfrak{p}}$ such that $ε(λν)=+1$. For an ordinary prime $\ell$ with respect to the CM quadratic …

Task-Oriented Edge-Assisted Cross-System Design for Real-Time Human-Robot Interaction in Industrial Metaverse
Kan Chen, Zhen Meng, Xiangmin Xu, Jiaming Yang, Emma Li, Philip G. Zhao
https://arxiv.org/abs/2508.20664

Task-Oriented Edge-Assisted Cross-System Design for Real-Time Human-Robot Interaction in Industrial Metaverse
Real-time human-device interaction in industrial Metaverse faces challenges such as high computational load, limited bandwidth, and strict latency. This paper proposes a task-oriented edge-assisted cross-system framework using digital twins (DTs) to enable responsive interactions. By predicting operator motions, the system supports: 1) proactive Metaverse rendering for visual feedback, and 2) preemptive control of remote devices. The DTs are decoupled into two virtual functions-visual display a…

A general fusion procedure for open $\mathfrak{gl}(N)$ spin chains: Application to the ABJM spin chain
Nan Bai
https://arxiv.org/abs/2507.19394 https://arx…

A general fusion procedure for open $\mathfrak{gl}(N)$ spin chains: Application to the ABJM spin chain
We formulate a general fusion procedure for open $\mathfrak{gl}(N)$ spin chains. We construct the fused boundary reflection matrices and the corresponding fused reflection equations. By using the intertwining relation between the fused reflection matrices and the fusion operator, we identify the invariant subspace of the fused reflection matrices carrying the irreducible representations of $\mathfrak{gl}(N)$. We also construct the fused transfer matrix and evaluate it explicitly in the total te…

Moving as a metaphor for software management.
https://www.garfieldtech.com/blog/moving-metaphor

Coadjoint orbits of low dimension for nilradicals of Borel subalgebras in classical types
Mikhail Ignatev, Alexey Petukhov
https://arxiv.org/abs/2507.20332 https://

Coadjoint orbits of low dimension for nilradicals of Borel subalgebras in classical types
Let $\mathfrak g$ be a classical simple Lie algebra over an algebraically closed field $\mathbb F$ of characteristic zero or large enough, and let $\mathfrak n$ be a maximal nilpotent subalgebra of $\mathfrak g$. The main tool in representation theory of $\mathfrak n$ is the orbit method, which classifies primitive ideals in the universal enveloping algebra ${\rm U}(\mathfrak n)$ and unitary representations of the unipotent group $N=\exp(\mathfrak n)$ in terms of coadjoint orbits on the dual sp…