Tootfinder

Sunset in Bochum, Germany, today, with some sunspots (see https://x.com/joe_stalder/status/1945915214794211795 for daytime views) - with the falling declination the sunset point has moved so much to the left that the Sun ist hard to get from my roof top right now; I have to bend over with a vengeance to the left or right to shoot past a big obstruction. Astronomy athletics ...

Approximate polymorphisms of predicates
Yaroslav Alekseev, Yuval Filmus
https://arxiv.org/abs/2506.12155 https://arxiv.org/pdf/2506.1…

Approximate polymorphisms of predicates
A generalized polymorphism of a predicate $P \subseteq \{0,1\}^m$ is a tuple of functions $f_1,\dots,f_m\colon \{0,1\}^n \to \{0,1\}$ satisfying the following property: If $x^{(1)},\dots,x^{(m)} \in \{0,1\}^n$ are such that $(x^{(1)}_i,\dots,x^{(m)}_i) \in P$ for all $i$, then also $(f_1(x^{(1)}),\dots,f_m(x^{(m)})) \in P$. We show that if $f_1,\dots,f_m$ satisfy this property for most $x^{(1)},\dots,x^{(m)}$ (as measured with respect to an arbitrary full support distribution $μ$ on $P$), th…

Detection of low-luminosity X-ray pulsations from the accreting millisecond pulsar IGR J17511-3057: an ever-thinning thread between bright accretion and sub-luminous states
Giulia Illiano, Alessandro Papitto, Sergio Campana, Alessio Marino, Arianna Miraval Zanon, Francesco Carotenuto, Francesco Coti Zelati, Maria Cristina Baglio, Filippo Ambrosino, Christian Malacaria, Caterina Ballocco, Gaurava K. Jaisawal, Marco M. Messa, Emilie Parent, Thomas D. Russell, Andrea Sanna, Anastasios Tzi…

Detection of low-luminosity X-ray pulsations from the accreting millisecond pulsar IGR J17511-3057: an ever-thinning thread between bright accretion and sub-luminous states
After nearly a decade in quiescence, the accreting millisecond pulsar IGR J17511$-$3057 displayed a new outburst on 2025 February 11, its third since discovery, following previous activity in 2009 and 2015. We report on an XMM-Newton Target of Opportunity observation performed on 2025 March 4, more than twenty days after the outburst onset. From the X-ray spectrum - well described by an absorbed Comptonization model - we estimated an unabsorbed 0.5$-$10 keV luminosity of $L_X \sim 7 \times 10^{…

Chinese game Revenge on Gold Diggers, one of the most popular and contentious video games in the country, sparks a debate over misogyny and male resentment (Li Yuan/New York Times)
https://www.nytimes.com/2025/07/17/busines

‘Who Killed Love?’ A Video Game Plays to Male Resentment in China.
A popular and contentious game, Revenge on Gold Diggers, sheds light on misogyny, inequality and the feeling among many men that they are economic victims.

Explicit construction of benign subgroup for Higman's reversing operation
V. H. Mikaelian
https://arxiv.org/abs/2506.12442 https://

Explicit construction of benign subgroup for Higman's reversing operation
For the Higman reversing operation $ρ$ and for a set of integer-valued functions $\mathcal X$ the following has been proved. Let the subgroup $A_{\mathcal X}$ be benign in the free group $F$, let the respective finitely presented overgroup $K_{\mathcal X}$ with its finitely generated subgroup $L_{\mathcal X}$ be given for $A_{\mathcal X}$ explicitly, and let the set $\mathcal Y = ρ\mathcal X$ be obtained from $\mathcal X$ by the reversing operation $ρ$. Then $A_{\mathcal Y}$ also is benign i…

The Snapshot Problem for the Euler-Poisson-Darboux Equation
Fulton Gonzalez, Jue Wang, Jens Christensen, Tomoyuki Kakehi
https://arxiv.org/abs/2507.13257 h…

The Snapshot Problem for the Euler-Poisson-Darboux Equation
The generalized Euler-Poisson-Darboux (EPD) equation with complex parameter $α$ is given by $$ Δ_x u=\frac{\partial^2 u}{\partial t^2}+\frac{n-1+2α}{t}\,\frac{\partial u}{\partial t}, $$ where $u(x,t)\in \mathscr E(\mathbb R^n\times \mathbb R)$, with $u$ even in $t$. For $α=0$ and $α=1$ the solution $u(x,t)$ represents a mean value over spheres and balls, respectively, of radius $|t|$ in $\mathbb R^n$. In this paper we consider existence and uniqueness results for the following t…

How Elon Musk's X is fueling the MAGA-Trump split (Aaron Mak/Politico)
https://www.politico.com/news/2025/07/15/elon-musk-x-maga-00455128
http://www.memeorandum.com/250715/p111#a250715p111

Space-time fractional stochastic partial differential equations driven by L\'evy white noise
Yuhui Guo, Jiang-Lun Wu
https://arxiv.org/abs/2506.12834 h…

Space-time fractional stochastic partial differential equations driven by Lévy white noise
This paper is concerned with the following space-time fractional stochastic nonlinear partial differential equation \begin{equation*} \left(\partial_t^β+\fracν{2}\left(-Δ\right)^{α/ 2}\right) u=I_{t}^γ\Big[ f(t,x,u)-\sum_{i=1}^{d} \frac{\partial}{\partial x_i} q_i(t,x,u)+ σ(t,x,u) F_{t,x}\Big] \end{equation*} for a random field $u(t,x):[0,\infty)\times\mathbb{R}^d \mapsto\mathbb{R}$, where $α>0, β\in(0,2), γ\ge0, ν>0, F_{t,x}$ is a Lévy space-time white noise, $I_{t}^γ$ stands for…

I am astonished that the #Auschwitz-Birkenau Museum and Memorial
https://www.auschwitz.org/en/
still supports or at least has an account on X (Twitter). They have at least one account here. @…
I have written them to express my dismay and have urged them to drop their X account with no response. I believe that it would help if as many of us as possible would write them to express your feelings about this.
https://www.auschwitz.org/en/contact/
Please boost.

Controlling the magneto-transport properties of magnetic topological insulator thin films from Cr$_x$(Bi$_y\,$Sb$_{1-y}$)$_{2-x}$Te$_3$ via molecular beam epitaxy
Jan Karthein, Jonas Buchhorn, Kaycee Underwood, Abdur Rehman Jalil, Max Va{\ss}en-Carl, Peter Sch\"uffelgen, Detlev Gr\"utzmacher, Thomas Sch\"apers
https://

Controlling the magneto-transport properties of magnetic topological insulator thin films from Cr$_x$(Bi$_y\,$Sb$_{1-y}$)$_{2-x}$Te$_3$ via molecular beam epitaxy
In this work we present a systematic in-depth study of how we can alter the magneto-transport properties of magnetic topological insulator thin films by tuning the parameters of the molecular beam epitaxy. First, we show how a varying substrate temperature changes the surface morphology and when chosen properly leads to a high crystal quality. Next, the effect of the chromium concentration on the film roughness and crystal quality is investigated. Finally, both the substrate temperature and the…