Tootfinder

On upper bounds on the number of parts in the problem of partitioning sets into parts of smaller diameter
Arthur Igorevich Bikeev, Andrei Mikhailovich Raigorodskii
https://arxiv.org/abs/2508.14578

On upper bounds on the number of parts in the problem of partitioning sets into parts of smaller diameter
In the present paper, we study problems related to the classical Borsuk's problem. Recall that the Borsuk's problem consists in finding the smallest number $ f(n) $ of parts of smaller diameter into which an arbitrary set of diameter 1 in Euclidean space $ {\mathbb R}^n $ can be divided. Here we will discuss the quantity $ χ(n,b) $ which differs from the quantity $ f(n) $ in that in its definition an arbitrary set of diameter 1 in $ {\mathbb R}^n $ must be partitioned into parts whose diameter…

VR ohne Übelkeit: Wie sich Motion Sickness vermeiden lässt
Motion Sickness kann einem die Lust an Virtual Reality verderben. Was dahintersteckt und wie man damit umgehen kann, erklärt unser Ratgeber.
https:/…

Is D’Andre Swift playing in Week 3 fantasy vs. Cowboys? Bears RB injury update https://www.sportingnews.com/us/nfl/chicago-bears/news/dandre-swift-playing-week-3-fantasy-vs-cowboys-bears-rb-injury…

GRILE: A Benchmark for Grammar Reasoning and Explanation in Romanian LLMs
Adrian-Marius Dumitran, Alexandra-Mihaela Danila, Angela-Liliana Dumitran
https://arxiv.org/abs/2508.14279

GRILE: A Benchmark for Grammar Reasoning and Explanation in Romanian LLMs
LLMs (Large language models) have revolutionized NLP (Natural Language Processing), yet their pedagogical value for low-resource languages remains unclear. We present GRILE (Grammar Romanian Inference and Language Explanations) , the first open benchmark of 1,151 multiple-choice questions harvested from Romanian high-stakes exams (National Evaluation, Baccalaureate, university admissions). GRILE enables us to probe two complementary abilities of seven state-of-the-art multilingual and Romanian-…

DeAndre Hopkins returns to form with Ravens, impressing John Harbaugh, Lamar Jackson https://www.nfl.com/news/deandre-hopkins-ravens-returns-to-form-john-harbaugh-lamar-jackson

Dmitry Kozak, Putin associate opposed to Ukraine war, resigns from Kremlin post: https://benborges.xyz/2025/09/17/dmitry-kozak-putin-associate-opposed.html

Learning-Based Modeling of a Magnetically Steerable Soft Suction Device for Endoscopic Endonasal Interventions
Majid Roshanfar, Alex Zhang, Changyan He, Amir Hooshiar, Dale J. Podolsky, Thomas Looi, Eric Diller
https://arxiv.org/abs/2507.15155

Learning-Based Modeling of a Magnetically Steerable Soft Suction Device for Endoscopic Endonasal Interventions
This letter introduces a novel learning-based modeling framework for a magnetically steerable soft suction device designed for endoscopic endonasal brain tumor resection. The device is miniaturized (4 mm outer diameter, 2 mm inner diameter, 40 mm length), 3D printed using biocompatible SIL 30 material, and integrates embedded Fiber Bragg Grating (FBG) sensors for real-time shape feedback. Shape reconstruction is represented using four Bezier control points, enabling a compact and smooth model o…

Kreml dämpft Erwartungen vor neuen Verhandlungen
Es gebe keinen Grund auf "wundersame Durchbrüche zu hoffen", sagt Kreml-Sprecher Dmitri Peskow vor einer neuen Verhandlungsrunde zwischen Russland und der Ukraine am Mittwoch. Moskau werde bei den Gesprächen seine "Interessen verteidigen", um seine von Anfang an gesetzten Ziele zu erreichen.
Die Ukraine und Russland hatten bereits im Mai und Juni direkte Gespräche in Istanbul …
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Ukraine-Liveblog: ++ Pistorius stellt zwei Patriots in Aussicht ++
Laut Verteidigungsminister Pistorius ist Deutschland bereit, der Ukraine zwei Patriot-Flugabwehrsysteme zu liefern. Vor neuen Verhandlungen zwischen Moskau und Kiew dämpft der Kreml die Erwartungen.

'Our goals are clear' — Kremlin unwilling to compromise on demands ahead of proposed 3rd round of peace talks: https://benborges.xyz/2025/07/20/our-goals-are-clear-kremlin.html

Manhattan pawn shop owner pleads guilty to role in burglary at Joe Burrow's home, others https://www.nytimes.com/athletic/6504216/2025/07/19/joe-burrow-home-burglary-guilty-dimitriy-nezhinskiy/