Tootfinder

This https://arxiv.org/abs/2505.03447 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Asymptotic formula for the sum of a prime and a square-full number in intervals shorter than $X^{1/2}$
Let $R(N)$ be the number of representations of $N$ as a sum of a prime and a square-full number weighted with logarithmic function. In $2024$, the author and Y. Suzuki obtained an asymptotic formula for the sum of $R(N)$ over positive integers $N$ in a short interval ($X$, $X+H$] for $X^{\frac{1}{2}+\varepsilon} \le H < X^{1-\varepsilon}$. In this article, we improve the range of $H$, that is, we prove the same asymptotic formula for $X^{\frac{32-4\sqrt{15}}{49}+\varepsilon} \le H \le X^{1- \va…

‼️Die #Petition
"Keine Weiterleitung von Gesundheitsdaten an das FDZ ohne aktive Zustimmung des Patienten vom 04.10.2024"
hat bisher 113 Mitzeichnungen.
Es fehlen noch 29887 Unterschriften bis zum 08.07.2025.

Beware! The AI Act Can Also Apply to Your AI Research Practices
Alina Wernick, Kristof Meding
https://arxiv.org/abs/2506.03218 https://

Beware! The AI Act Can Also Apply to Your AI Research Practices
The EU has become one of the vanguards in regulating the digital age. A particularly important regulation in the Artificial Intelligence (AI) domain is the EU AI Act, which entered into force in 2024. The AI Act specifies -- due to a risk-based approach -- various obligations for providers of AI systems. These obligations, for example, include a cascade of documentation and compliance measures, which represent a potential obstacle to science. But do these obligations also apply to AI researcher…

Immer wenn ich lese "Kein Backup, kein Mitleid." muss ich mit dem Kopf schütteln. Hier ist nicht nur das "ob" (also warum man Backups machen muss) etwas das IMMER WIEDER erklärt werden muss, Auch das "wie", gerade das "wie", omg ist das "wie" wichtig!
aber abgesehen davon, nur weil man Jahrzehnte in einem Bereich tätig ist, geht ein Thema nicht weg, denn es haben mit der Zeit eben nicht alle verstanden. Muss mich da auch an eigene Nase…

Facts are Harder Than Opinions -- A Multilingual, Comparative Analysis of LLM-Based Fact-Checking Reliability
Lorraine Saju, Arnim Bleier, Jana Lasser, Claudia Wagner
https://arxiv.org/abs/2506.03655

Facts are Harder Than Opinions -- A Multilingual, Comparative Analysis of LLM-Based Fact-Checking Reliability
The proliferation of misinformation necessitates scalable, automated fact-checking solutions. Yet, current benchmarks often overlook multilingual and topical diversity. This paper introduces a novel, dynamically extensible data set that includes 61,514 claims in multiple languages and topics, extending existing datasets up to 2024. Through a comprehensive evaluation of five prominent Large Language Models (LLMs), including GPT-4o, GPT-3.5 Turbo, LLaMA 3.1, and Mixtral 8x7B, we identify signific…

Probing the Turbulent Corona and Heliosphere Using Radio Spectral Imaging Observation during the Solar Conjunction of Crab Nebula
Peijin Zhang, Surajit Mondal, Bin Chen, Sijie Yu, Dale Gary, Marin M. Anderson, Judd D. Bowman, Ruby Byrne, Morgan Catha, Xingyao Chen, Sherry Chhabra, Larry D'Addario, Ivey Davis, Jayce Dowell, Katherine Elder, Gregg Hallinan, Charlie Harnach, Greg Hellbourg, Jack Hickish, Rick Hobbs, David Hodge, Mark Hodges, Yuping Huang, Andrea Isella, Daniel C. Jaco…

Probing the Turbulent Corona and Heliosphere Using Radio Spectral Imaging Observation during the Solar Conjunction of Crab Nebula
Measuring plasma parameters in the upper solar corona and inner heliosphere is challenging because of the region's weakly emissive nature and inaccessibility for most in situ observations. Radio imaging of broadened and distorted background astronomical radio sources during solar conjunction can provide unique constraints for the coronal material along the line of sight. In this study, we present radio spectral imaging observations of the Crab Nebula (Tau A) from June 9 to June 22, 2024 when it…

Dear Apple SwiftUI friends, this bug is killing the vibe of our users: FB16257334
Repro for those in the community:
https://github.com/feedback-assistant/reports/issues/594

FB16257334: Inspector view bug · Issue #594 · feedback-assistant/reports
Date: 2024-01-07 Resolution: Open Area: SwiftUI OS: iPadOS 18.1 Type: Incorrect/Unexpected Behavior Keywords: SwiftUI, split view, iPadOS, NavigationSplitView Description Simple NavigationSplitView...

Unveiling the Complex Jet Dynamics in the Blazar 2021 317 through Multi-Epoch VLBI Observations
Haitian Shang, Wei Zhao, Xiaoyu Hong, Leonid I. Gurvits, Ailing Zeng, Tao An, Xiaopeng Cheng
https://arxiv.org/abs/2505.23082

Unveiling the Complex Jet Dynamics in the Blazar 2021+317 through Multi-Epoch VLBI Observations
We present an investigation of the compact structure of the AGN 2021+317 based on multi-epoch Very Long Baseline Interferometry (VLBI) observations at 15, 22, and 43 GHz in the period from 2013 through 2024. The VLBI images show a core-jet structure extended to the south, with two stationary components in the northern region, one of which likely to be the core of the source. We also detected two new moving jet components (S4 and S5) in the observations of 2021. Based on these observational find…

Energy Spectra of Secondary Particles Induced by Solar Energetic Proton Events and Magnetospheric Effects
A. Chilingarian
https://arxiv.org/abs/2505.16269 …

Energy Spectra of Secondary Particles Induced by Solar Energetic Proton Events and Magnetospheric Effects
We investigate the energy spectra of secondary cosmic ray particles associated with two distinct solar events: the magnetospheric effect (ME) of 5 November 2023 and ground-level enhancement (GLE 74) of 11 May 2024. Using data from the SEVAN and Neutron Monitor networks and energy release histograms from particle spectrometers, we reconstruct spectra and identify key differences between ME and GLE. CORSIKA-based simulations reveal that MEs are caused by galactic protons below geomagnetic cutoff …