Tootfinder

The lattices $\textbf m\times\textbf 2$ and $\textbf m\times\textbf 3$ are not Schur positive
David G. L. Wang, K. Zhang
https://arxiv.org/abs/2510.03116 https://

The lattices $\textbf m\times\textbf 2$ and $\textbf m\times\textbf 3$ are not Schur positive
We prove that the lattices $\textbf m\times\textbf 2$ and $\textbf m\times\textbf 3$ are not Schur positive for $m\ge 8$. This confirms a conjecture of Li, Qiu, Yang, and Zhang, as an extension of counterexamples to a comment of Stanley on the universal Schur positivity of distributive lattices. Our main tools include Pieri's rules, and Wang and Wang's combinatorial formula for computing any Schur coefficient of the chromatic symmetric function of a graph in terms of special ribbon tabloids. We…

🇺🇦 #NowPlaying on KEXP's #Roadhouse
The Staple Singers:
🎵 If You’re Ready (Come Go With Me)
#TheStapleSingers
https://thestaplesingers.bandcamp.com/track/if-youre-ready-come-go-with-me-8
https://open.spotify.com/track/5eX6j2j6gfaXEryl54oIKZ

🎲 TextBandit: Evaluating Probabilistic Reasoning in LLMs Through Language-Only Decision Tasks
#llm

TextBandit: Evaluating Probabilistic Reasoning in LLMs Through Language-Only Decision Tasks
Large language models (LLMs) have shown to be increasingly capable of performing reasoning tasks, but their ability to make sequential decisions under uncertainty only using natural language remains underexplored. We introduce a novel benchmark in which LLMs interact with multi-armed bandit environments using purely textual feedback, "you earned a token", without access to numerical cues or explicit probabilities, resulting in the model to infer latent reward structures purely off linguistic cu…

You CAN Take It With You
#takeoutfoodabookorplay
#hashtaggames

Paul calls for Hegseth to testify 'under oath' on Venezuelan boat strike orders (Alexander Bolton/The Hill)
https://thehill.com/homenews/senate/5634197-paul-demands-hegseth-testify-boat-strikes/
http://www.memeorandum.com/251204/p109#a251204p109

Very excited for @… &/ @… (they've joined forces this year) this coming week, not in the least because I'll be talking about our experience building a RAG bot at the City of

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

Nasa-Überschallflugzeug X-59 absolviert ersten Testflug
Die Nasa und Lockheed Martin haben das experimentelle Überschallflugzeug X-59 auf einem ersten Testflug ausprobiert, um Bordsysteme zu prüfen.
https://www.

Bondi expected to be grilled about use of justice department to investigate Trump’s political enemies – live
Attorney general Pam Bondi is facing senators on the judiciary committee now.
She’ll face questions lawmakers about her tenure at the justice department (DoJ) so far,
particularly as Democratic senators have called out the Trump administration for
weaponizing the DoJ to investigate and prosecute political enemies.
Democratic senator Adam Schiff, of Cali…

🔥Trump said that he’s considering invoking the Insurrection Act,
a 19th-century law which would allow him to federalize the national guard, on the grounds of an “invasion” or “rebellion”.
🔥On Monday, a federal judge did not immediately block the president’s move to deploy national guard troops, including hundreds from Texas, to Chicago.
Instead, the judge set a hearing for Thursday,
leaving room for the military to make their way to the windy city as soon as today.