Tootfinder

Structured and Punctured Nullstellens\"atze
Erhard Aichinger, John R. Schmitt, Henry Zhan
https://arxiv.org/abs/2506.15281 https://

Structured and Punctured Nullstellensätze
A Nullstellensatz is a theorem providing information on polynomials that vanish on a certain set: David Hilbert's Nullstellensatz (1893) is a cornerstone of algebraic geometry, and Noga Alon's Combinatorial Nullstellensatz (1999) is a powerful tool in the "Polynomial Method", a technique used in combinatorics. Alon's Theorem excludes that a polynomial vanishing on a grid contains a monomial with certain properties. This theorem has been generalized in several directions, two of which we will co…

The Central Nullstellensatz over Centrally Algebraically Closed Division Rings
Masood Aryapoor
https://arxiv.org/abs/2506.15187 https://

The Central Nullstellensatz over Centrally Algebraically Closed Division Rings
We introduce the concept of centrally algebraically closed division rings and show that a division ring satisfies the central Nullstellensatz if and only if it is centrally algebraically closed. We also show that every division ring can be embedded in a centrally algebraically closed division ring.

Reporter Is Detained by ICE After Reporting on Immigration Protest (Amanda Holpuch/New York Times)
https://www.nytimes.com/2025/06/18/us/journalist-arrested-ice-georgia-mario-guevara.html
http://www.memeorandum.com/250618/p146#a250618p146

Und jetzt stellt euch vor, was mit den prognostizierten Effizienz-Gewinnen von #KI passieren wird wenn diese Kosten dann mal verrechnet werden …
https://www.hei…

Voor de liefhebbers is er vanaf 20 juni het nieuwe seizoen van Vers op tv.
Tegenvaller voor de fans: dit zijn alle afleveringen, maar er schijnt ook een 'special' aan te komen.
T goeie nieuws: in elk geval kun je ze alvast bekijken. Dit is NLziet, maar ik neem aan dat dit ook op NPOstart kan.
#NPO #NLziet

low trust, callous, nihilistic societies where not expecting the worst out of people is seen as weakness.

„While LLMs offer immediate convenience, our findings highlight potential cognitive costs. Over four months, #LLM users consistently underperformed at neural, linguistic, and behavioral levels.“ #AI

“So steht es um die Velovorzugsrouten in #Zürich”
Simply said: Schlecht, sehr schlecht.
https://tsri.ch/a/verzoegert-blockiert-umkaem…

“#pastpuzzle 319
🟩🟥🟥🟨 (-22)
🟩🟨🟥🟥 (-878)
🟩🟩🟩🟥 ( 4)
🟩🟩🟩🟥 ( 3)
x/4 🟥” https://www.pastpuzzle.de/

“#pastpuzzle 318
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🟩🟩🟩🟥 (-2)
🟩🟩🟩🟩 (0)
▪️▪️▪️▪️
3/4 🥉” https://www.pastpuzzle.de/