Tootfinder

Bears extend Ryan Poles: Three things Chicago must do in 2025 to validate new deal

https://www.cbssports.com/nfl/news/bears-extend-ryan-poles-three-…

‘Not many events like this left’ — A Ukrainian literary festival in a city falsely claimed by Russia: https://benborges.xyz/2025/07/03/not-many-events-like-this.html

„Freedom Comes Back“ by Critikill
Platform: Amiga
Released: 10 September 2022
Specification: 320x256px, 32 colors
Note: 1st in the Function 2022 Oldschool Graphics competition
#GFX_Critikill #YR_2022

My phone chose this as its lock screen background, so I just have to share it. On Jurmo island in the Gulf of Finland, May 2022.

Garside shadows and biautomatic structures in Coxeter groups
Fabricio Dos Santos
https://arxiv.org/abs/2505.21718 https://arxiv.org/p…

Garside shadows and biautomatic structures in Coxeter groups
In 2022, Osajda and Przytycki showed that any Coxeter group $W$ is biautomatic. Key to their proof is the notion of voracious projection of an element $g \in W$, which is used iteratively to construct a biautomatic structure for $W$: the voracious language. In this article, we generalize these two notions by defining them for any Garside shadow $B$ in a Coxeter system $(W,S)$. This leads to the result that any finite Garside shadow in $(W,S)$ can be used to construct a biautomatic structure for…

General Staff: Russia has lost 984,940 troops in Ukraine since Feb. 24, 2022: https://benborges.xyz/2025/05/29/general-staff-russia-has-lost.html

A natural and short proof of Lee's conjecture on the Frobenius norm
Teng Zhang
https://arxiv.org/abs/2507.02684 https://arxiv.org…

A natural and short proof of Lee's conjecture on the Frobenius norm
In 2010, Eun-Young Lee conjectured that if $A,B$ are two $n\times n$ complex matrices and $\left|A\right|, \left|B\right|$ are the absolute values of $A, B$, respectively, then \[ \|A+B\|_F\le \sqrt{\dfrac{1+\sqrt{2}}{2}}\|\left|A\right|+\left|B\right|\|_F, \] where $\|\cdot\|_F$ is the Frobenius norm of matrices. This conjecture was initially proven by Lin and Zhang [J. Math. Anal. Appl. 516 (2022) 126542] by studying inequa…

Multi-wavelength analysis of FSRQ B2 1348 30B: Constraints on the jet power
Sajad Ahanger, Sunder Sahayanathan, Sitha K. Jagan, Shah Zahir, Naseer Iqbal
https://arxiv.org/abs/2506.02821

Multi-wavelength analysis of FSRQ B2 1348+30B: Constraints on the jet power
We present 14.5-year multi-wavelength analysis of flat-spectrum radio quasar B2 1348+30B using Swift-UVOT, Swift-XRT, and Fermi-LAT observations. In the gamma-ray band, the 3 day bin lightcurve reveals two major flaring events on 2010-09-19 (55458 MJD) and 2022-05-26 (59725 MJD) detected at flux levels $(2.5\pm 0.5) \times 10^{-7}\,\rm{ph\,cm^{-2}\,s^{-1}}$ and $(5.2\pm 0.6) \times 10^{-7}\,\rm{ph\,cm^{-2}\,s^{-1}}$. The Bayesian block analysis of the flares suggested the variability timescale …

MOA-2022-BLG-091Lb and KMT-2024-BLG-1209Lb: Microlensing planets detected through weak caustic-crossing signals
Cheongho Han, Chung-Uk Lee, Andrzej Udalski, Ian A. Bond, Hongjing Yang, Michael D. Albrow, Sun-Ju Chung, Andrew Gould, Youn Kil Jung, Kyu-Ha Hwang, Yoon-Hyun Ryu, Yossi Shvartzvald, In-Gu Shin, Jennifer C. Yee, Weicheng Zang, Tanagodchaporn Inyanya, Sang-Mok Cha, Doeon Kim, Dong-Jin Kim, Seung-Lee Kim, Dong-Joo Lee, Yongseok Lee, Byeong-Gon Park, Richard W. Pogge, Przemek Mr…

MOA-2022-BLG-091Lb and KMT-2024-BLG-1209Lb: Microlensing planets detected through weak caustic-crossing signals
The light curves of the microlensing events MOA-2022-BLG-091 and KMT-2024-BLG-1209 exhibit anomalies with very similar features. These anomalies appear near the peaks of the light curves, where the magnifications are moderately high, and are distinguished by weak caustic-crossing features with minimal distortion while the source remains inside the caustic. To achieve a deeper understanding of these anomalies, we conducted a comprehensive analysis of the lensing events. We carried out binary-len…

Counting Small Induced Subgraphs: Scorpions Are Easy but Not Trivial
Radu Curticapean, Simon D\"oring, Daniel Neuen
https://arxiv.org/abs/2505.22300 h…

Counting Small Induced Subgraphs: Scorpions Are Easy but Not Trivial
We consider the parameterized problem $\#$IndSub$(Φ)$ for fixed graph properties $Φ$: Given a graph $G$ and an integer $k$, this problem asks to count the number of induced $k$-vertex subgraphs satisfying $Φ$. Dörfler et al. [Algorithmica 2022] and Roth et al. [SICOMP 2024] conjectured that $\#$IndSub$(Φ)$ is $\#$W[1]-hard for all non-meager properties $Φ$, i.e., properties that are nontrivial for infinitely many $k$. This conjecture has been confirmed for several restricted types of prop…

International collaboration of Ukrainian scholars: Effects of Russia's full-scale invasion of Ukraine International collaboration of Ukrainian scholars: Effects of Russia's full-scale invasion of Ukraine
Myroslava Hladchenko
https://arxiv.org/abs/2505.20944

International collaboration of Ukrainian scholars: Effects of Russia's full-scale invasion of Ukraine International collaboration of Ukrainian scholars: Effects of Russia's full-scale invasion of Ukraine
This study explores the effects of Russia's full-scale invasion of Ukraine on the international collaboration of Ukrainian scholars. First and foremost, Ukrainian scholars deserve respect for continuing to publish despite life-threatening conditions, mental strain, shelling and blackouts. In 2022-2023, universities gained more from international collaboration than the NASU. The percentage of internationally co-authored articles remained unchanged for the NASU, while it increased for universitie…

The Role of Intangible Investment in Predicting Stock Returns: Six Decades of Evidence
Lin Li
https://arxiv.org/abs/2505.16336 https://

The Role of Intangible Investment in Predicting Stock Returns: Six Decades of Evidence
Using an intangible intensity factor that is orthogonal to the Fama--French factors, we compare the role of intangible investment in predicting stock returns over the periods 1963--1992 and 1993--2022. For 1963--1992, intangible investment is weak in predicting stock returns, but for 1993--2022, the predictive power of intangible investment becomes very strong. Intangible investment has a significant impact not only on the MTB ratio (Fama--French high minus low [HML] factor) but also on operati…

Call for Papers: „Kunstbäume in Text und Bild der Vormoderne 2.0. – Kommunikation in ökologischen Verflechtungen“ an der Goethe-Universität Frankfurt am Main, vom 30. Oktober bis 1. November 2025
https://ift.tt/cstAmIM
TOC: Dutch Crossing: Journal of Low Countries Studies, vol. 46, no. 3 (March 2022) Dutch……

The Families that Stay Together: A Network Analysis of Dynastic Power in Philippine Politics
Rafael Acuna, Aldie Alejandro, Robert Leung
https://arxiv.org/abs/2505.21280

The Families that Stay Together: A Network Analysis of Dynastic Power in Philippine Politics
Dynasties have long dominated Philippine politics. Despite the theoretical consensus that dynastic rule erodes democratic accountability, there is limited empirical evidence establishing dynasties' true impact on development. A key challenge has been developing robust metrics for characterizing dynasties that facilitate meaningful comparisons across geographies and election cycles. Using election data from 2004 to 2022, we leverage methods from graph theory to develop four indicators to investi…

Symmetries of coefficients of three-term relations for basic hypergeometric series
Yuka Yamaguchi
https://arxiv.org/abs/2505.20798 https://

Symmetries of coefficients of three-term relations for basic hypergeometric series
Any three basic hypergeometric series ${}_{2}ϕ_{1}$ whose respective parameters $a, b, c$ and a variable $x$ are shifted by integer powers of $q$ are linearly related with coefficients that are rational functions of $a, b, c, q$, and $x$. This relation is called a three-term relation for ${}_{2}ϕ_{1}$. In this paper, we prove that the coefficients of the three-term relation for ${}_{2}ϕ_{1}$ considered in the author's earlier paper (2022) have ninety-six symmetries, and present explicit form…