Tootfinder

Apples neue iOS-26-UI: Usability-Probleme und Vista-Nostalgie
Liquid Glass, Apples neues Interface, ist auf dem iPhone eine größere Umstellung als gedacht. Die Beta hakt – und führt zu scherzhaften Microsoft-Vergleichen.

Ach ja ... Op t algemene emailadres, dus 🚮

This https://arxiv.org/abs/2505.10090 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Sombor index of clean graphs
Let $G = (V, E)$ be a graph with the vertex set $V (G)$ and edge set $E(G)$. The Sombor index of $G$, $SO(G)$, is defined as $\sum_{uv\in E(G)} \sqrt{deg(u)^2 + deg(v)^2}$, where $deg(u)$ is the degree of vertex $u$ in $V (G)$. The clean graph of a ring R, denoted by $Cl(R)$, is a graph with vertex set $\{(e, u) : e \in Id(R), u \in U(R)\}$ and two distinct vertices $(e, u)$ and$(f, v)$ are adjacent if and only if $ef = 0$ or $uv = 1$ ($Id(R)$ and $U(R)$ are the sets of idempotents and unit ele…

when ur a soulless vapid husk who's "creative" work is just leeching off everyone more thoughtful than u but u have FANTASTIC taste in what u steal

An optimal class of domains permitting inner boundaries in a divergence theorem for rough integrands
Thomas Ruf
https://arxiv.org/abs/2506.09978 https://…

An optimal class of domains permitting inner boundaries in a divergence theorem for rough integrands
The divergence theorem on an open domain $U \subset \mathbb{R}^m$ of finite measure is investigated for the rough class $\mathcal{DM}_\infty(U)$ of bounded vector fields $u \, \colon \, U \to \mathbb{R}^m$ with a finite Radon measure divergence. Let $\mathcal{DB}(U)$ denote the closure of $\mathcal{DM}_\infty(U)$ in the Lebesgue space $L_\infty(U)$. Equivalent conditions are proved for the domain $U$ to admit the divergence theorem \begin{equation} \exists ! \ell \in \mathcal{DB}'(U) \, \colon …

U.S. and China Agree to Get Geneva Pact Back on Track (Wall Street Journal)
https://www.wsj.com/economy/trade/u-s-and-china-agree-to-get-geneva-pact-back-on-track-695eb5f5?st=w5GiCS&reflink=article_copyURL_share
http://www.memeorandum.com/250610/p160#a250610p160

ChronoFlow - a Data-driven Model for #Gyrochronology: https://iopscience.iop.org/article/10.3847/1538-4357/adcd73 -> U of T Astronomers Pioneer Innovative Machine Learning Model to Determine the Ages of Stars: https://www.dunlap.utoronto.ca/u-of-t-astronomers-pioneer-innovative-machine-learning-model-to-determine-the-ages-of-stars/

OH, this is nice! @… in the browser, by #duckdb and @…

The DuckDB Local UI
The DuckDB team and MotherDuck are excited to announce the release of a local UI for DuckDB shipped as part of the ui extension.

Big if true
"Kamala Harris won the U.S elections: Bombshell report claims voting machines were tampered with before 2024"
https://economictimes.indiatim…

Kamala Harris won the U.S elections: Bombshell report claims voting machines were tampered with before 202
Kamala Harris election tampering story raises new questions about the 2024 U.S. presidential election outcome. A quiet but major change to voting machines by Pro V&V—used in over 40% of U.S. counties—was never publicly reviewed or disclosed. Watchdog group SMART Elections flagged suspicious updates, missing votes, and statistical anomalies suggesting potential vote tampering. Now, a lawsuit is moving forward, challenging whether Kamala Harris may have actually won.

Existence of variational solutions to doubly nonlinear systems in general noncylindrical domains
Leah Sch\"atzler, Christoph Scheven, Jarkko Siltakoski, Calvin Stanko
https://arxiv.org/abs/2506.09617

Existence of variational solutions to doubly nonlinear systems in general noncylindrical domains
We consider the Cauchy-Dirichlet problem to doubly nonlinear systems of the form \begin{align*} \partial_t \big( |u|^{q-1}u \big) - \operatorname{div} \big( D_ξf(x,u,Du) \big) = - D_u f(x,u,Du) \end{align*} with $q \in (0, \infty)$ in a bounded noncylindrical domain $E \subset \mathbb{R}^{n+1}$. Further, we suppose that $x \mapsto f(x,u,ξ)$ is integrable, that $(u,ξ) \mapsto f(x,u,ξ)$ is convex, and that $f$ satisfies a $p$-growth and -coercivity condition for some $p>\max \big\…