Tootfinder

Robert Kraft promises Patriots turnaround following worst two-year run in owner's history with franchise

https://www.cbssports.com/nfl/news/ro…

Local H\"older Regularity for Quasilinear Elliptic Equations with Mixed Local-Nonlocal Operators, Variable Exponents, and Weights
Juan Pablo Alcon Apaza
https://arxiv.org/abs/2507.01899

Local Hölder Regularity for Quasilinear Elliptic Equations with Mixed Local-Nonlocal Operators, Variable Exponents, and Weights
We establish local boundedness and local Hölder continuity of weak solutions to the following prototype problem: $$ -\operatorname{div}\left(|x|^{-2 β}|\nabla u|^{\mathbf{q}-2} \nabla u\right)+(-Δ)_{p(\cdot, \cdot), β}^{s(\cdot, \cdot)} u=0 \quad \text { in } \quad Ω, $$ where $Ω\subset \mathbb{R}^n, n \geq 2$, is a bounded domain. The nonlocal operator is defined by $$ (-Δ)_{p(\cdot, \cdot), β}^{s(\cdot, \cdot)} u(x):=\mathrm{P} . \mathrm{V} . \int_Ω \frac{&#…

Statement by YDS Dean Greg Sterling.
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We are relieved that two members of the YDS community, Rev. William Barber and Rev. Jonathan Wilson-Hartgrove, are safe and unharmed following their arrest while praying in the Capitol Rotunda yesterday. We applaud them for their courage in standing up for Christian values and doing so in accordance with the venerable tradition of nonviolent action.

Rev. William Barber arrested in Capitol Rotunda after praying against Republican-led budget
(RNS) — While arrests of protesters at the Capitol is not unusual, the response to Barber’s prayer was unusually dramatic: After issuing verbal warnings, dozens of officers expelled everyone in the Rotunda — including credentialed press.

A robust Likelihood Ratio Test for high-dimensional MANOVA -- with excellent performance
Carlos A. Coelho
https://arxiv.org/abs/2507.01261 https://

A robust Likelihood Ratio Test for high-dimensional MANOVA -- with excellent performance
The present paper answers the following questions related with high-dimensional manova: (i) is it possible to develop a likelihood ratio test for high-dimensional manova? (ii) would such test perform well? (iii) would it be able to outperform existing tests? (iv) would it be applicable to extremely small samples? (v) would it be applicable to non-normal random variables, as uniform, extremely skewed distributions, or even heavy tailed distributions with success? (vi) would it have a nice, rathe…

Nondegenerate hyperplane covers of the hypercube
Lisa Sauermann, Zixuan Xu
https://arxiv.org/abs/2507.00773 https://arxiv.org/pdf/250…

Nondegenerate hyperplane covers of the hypercube
We consider collections of hyperplanes in $\mathbb{R}^n$ covering all vertices of the $n$-dimensional hypercube $\{0,1\}^n$, which satisfy the following nondegeneracy condition: For every $v\in \{0,1\}^n$ and every $i=1,\dots,n$, we demand that there is a hyperplane $H$ in the collection with $v\in H$ such that the variable $x_i$ appears with a non-zero coefficient in the hyperplane equation describing $H$. We prove that every collection $\mathcal{H}$ of hyperplanes in $\mathbb{R}^n$ covering $…

Exocomets of $\beta$ Pictoris I: Exocomet destruction, sodium and disk line variability in 17 years of HARPS observations
H. J. Hoeijmakers, K. P. Jaworska, B. Prinoth
https://arxiv.org/abs/2505.21625

Exocomets of $β$ Pictoris I: Exocomet destruction, sodium and disk line variability in 17 years of HARPS observations
The young $β$ Pictoris system has been monitored with high-resolution optical spectrographs for decades. These observations have revealed strongly variable absorption in the Ca II H\&K lines attributed to in-falling cometary bodies. Since 2003, over 9000 HARPS observations of $β$ Pictoris have been taken and many of these have not yet been used for exocomet studies. We search these spectra for new exocomet phenomenology enabled by the long time coverage and large volume of this dataset. We sy…

Entropic additive energy and entropy inequalities for sums and products
Rupert Li, Lampros Gavalakis, Ioannis Kontoyiannis
https://arxiv.org/abs/2506.20813

Entropic additive energy and entropy inequalities for sums and products
Following a growing number of studies that, over the past 15 years, have established entropy inequalities via ideas and tools from additive combinatorics, in this work we obtain a number of new bounds for the differential entropy of sums, products, and sum-product combinations of continuous random variables. Partly motivated by recent work by Goh on the discrete entropic version of the notion of "additive energy", we introduce the additive energy of pairs of continuous random variables and prov…

Improving Surgical Risk Prediction Through Integrating Automated Body Composition Analysis: a Retrospective Trial on Colectomy Surgery
Hanxue Gu, Yaqian Chen, isoo Lee, Diego Schaps, Regina Woody, Roy Colglazier, Maciej A. Mazurowski, Christopher Mantyh
https://arxiv.org/abs/2506.11996

Improving Surgical Risk Prediction Through Integrating Automated Body Composition Analysis: a Retrospective Trial on Colectomy Surgery
Objective: To evaluate whether preoperative body composition metrics automatically extracted from CT scans can predict postoperative outcomes after colectomy, either alone or combined with clinical variables or existing risk predictors. Main outcomes and measures: The primary outcome was the predictive performance for 1-year all-cause mortality following colectomy. A Cox proportional hazards model with 1-year follow-up was used, and performance was evaluated using the concordance index (C-index…

The Hyperbolic Tangent as an Educational Tool for Teaching Variable Acceleration
Scott C. Scharlach
https://arxiv.org/abs/2505.11658 https://

The Hyperbolic Tangent as an Educational Tool for Teaching Variable Acceleration
This paper presents an approximate analytical solution to the Falling Astronaut Problem by means of the hyperbolic tangent, and it explores the educational opportunities presented by this technique. The author's previous paper presented a function for time in terms of position t(x) that modeled the motion of an astronaut as she falls from an arbitrary height to the surface of a spherical planet with no air resistance, but an exact analytical function for position in terms of time x(t) was not f…

Audio-Aware Large Language Models as Judges for Speaking Styles
Cheng-Han Chiang, Xiaofei Wang, Chung-Ching Lin, Kevin Lin, Linjie Li, Radu Kopetz, Yao Qian, Zhendong Wang, Zhengyuan Yang, Hung-yi Lee, Lijuan Wang
https://arxiv.org/abs/2506.05984

Audio-Aware Large Language Models as Judges for Speaking Styles
Audio-aware large language models (ALLMs) can understand the textual and non-textual information in the audio input. In this paper, we explore using ALLMs as an automatic judge to assess the speaking styles of speeches. We use ALLM judges to evaluate the speeches generated by SLMs on two tasks: voice style instruction following and role-playing. The speaking style we consider includes emotion, volume, speaking pace, word emphasis, pitch control, and non-verbal elements. We use four spoken langu…