Tootfinder

X is testing using Community Notes to highlight posts that are liked by users with different perspectives (Sarah Perez/TechCrunch)
https://techcrunch.com/2025/07/24/x-to-test-using-community-notes-to-find-the-posts-everyone-likes/

X to test using Community Notes to find the posts everyone likes | TechCrunch
X is piloting a new feature that will help to identify the platform's best posts. The system is similar to how Community Notes fact-checking works.

Monogenic sextic trinomials $x^6 Ax^3 B$ and their Galois groups
Joshua Harrington, Lenny Jones
https://arxiv.org/abs/2507.17021 https://

Monogenic sextic trinomials $x^6+Ax^3+B$ and their Galois groups
Let $f(x)=x^6+Ax^3+B\in {\mathbb Z}[x]$, with $A\ne 0$, and suppose that $f(x)$ is irreducible over ${\mathbb Q}$. We define $f(x)$ to be {\em monogenic} if $\{1,θ,θ^2,θ^3,θ^4,θ^{5}\}$ is a basis for the ring of integers of ${\mathbb Q}(θ)$, where $f(θ)=0$. For each possible Galois group $G$ of $f(x)$ over ${\mathbb Q}$, we use a theorem of Jakhar, Khanduja and Sangwan to give explicit descriptions of all monogenic trinomials $f(x)$ having Galois group $G$. We also investigate when the…

nachdem wir durch die #TaxtheRich #Petition an den Bundestag jetzt alle gelernt haben, wie das mit dem Unterschreiben von Petitionen funktioniert, hier wäre noch eine.
Diese möchte, dass in der StVO mehr Schutz von Einsatzkräften geregelt wird. Wer das Turbo-Egoisten-Verhalten der…

In an email to staff, the New York Times announced that it is ending its New York Times for Kids monthly print section (Max Tani/@maxwelltani)
https://x.com/maxwelltani/status/1948471776436256909

Max Tani (@maxwelltani) on X
In an email to staff today, the New York Times announced that it is ending its New York Times for Kids monthly print section.

The $d$-distance $p$-packing domination number: complexity and trees
Csilla Bujt\'as, Vesna Ir\v{s}i\v{c} Chenoweth, Sandi Klav\v{z}ar, Gang Zhang
https://arxiv.org/abs/2507.18272

The $d$-distance $p$-packing domination number: complexity and trees
A set of vertices $X\subseteq V(G)$ is a $d$-distance dominating set if for every $u\in V(G)\setminus X$ there exists $x\in X$ such that $d(u,x) \le d$, and $X$ is a $p$-packing if $d(u,v) \ge p+1$ for every different $u,v\in X$. The $d$-distance $p$-packing domination number $γ_d^p(G)$ of $G$ is the minimum size of a set of vertices of $G$ which is both a $d$-distance dominating set and a $p$-packing. It is proved that for every two fixed integers $d$ and $p$ with $2 \le d$ and $0 \le p \leq …

Birthplaces of X-ray emission lines in Cygnus X-3
Osmi Vilhu, Karri I. I. Koljonen
https://arxiv.org/abs/2506.19380 https://arxiv.org…

Birthplaces of X-ray emission lines in Cygnus X-3
We investigate the formation of X-ray emission lines in the wind of the Wolf-Rayet (WR) companion in Cyg X-3 by analyzing their orbital dynamics using Chandra High Energy Transmission Grating (HEG) observations during a hypersoft state. Our goal is to constrain the X-ray transparency of the recently discovered funnel-like structure surrounding the compact star, as revealed by X-ray polarimetry. All lines exhibit sinusoidal orbital modulation, with the velocity amplitude generally increasing and…

On Projective modules over graded $R$-subalgebras of $R[X,1/X]$
Diksha Garg, Anjan Gupta
https://arxiv.org/abs/2506.18826 https://arx…

On Projective modules over graded $R$-subalgebras of $R[X,1/X]$
Let $R$ be a Noetherian ring of dimension $d$ and $A$ be a graded $R$-subalgebra of $R[X,1/X]$. Let $P$ be a projective module over $A$ of rank $r \geq \max\{d+1,2\}$ and $\v=(a,p)$ be a unimodular element of $A \oplus P$. We find an elementary automorphism $τ$ such that $τ(\v) = (1, 0)$. Consequently, we obtain the cancellative property of $P$. We show that $P$ splits off a free summand of rank one. When $A = R[X]$ or $R[X, 1/ X]$, the results are well-known due to the contributions by vario…

X Money: Musks Plattform hat Kreditkarten-Ambitionen
X möchte viel mehr werden als nur eine soziales Medium. Jetzt werden neue Details über die Pläne als Bezahldienstleister bekannt.
https://www.

Balanced Boolean functions with few-valued Walsh spectra parameterized by $P(x^2 x)$
Qiancheng Zhang, Kangquan Li, Longjiang Qu
https://arxiv.org/abs/2506.19521

Balanced Boolean functions with few-valued Walsh spectra parameterized by $P(x^2+x)$
Boolean functions with few-valued spectra have wide applications in cryptography, coding theory, sequence designs, etc. In this paper, we further study the parametric construction approach to obtain balanced Boolean functions using $2$-to-$1$ mappings of the form $P(x^2+x)$, where $P$ denotes carefully selected permutation polynomials. The key contributions of this work are twofold: (1) We establish a new family of four-valued spectrum Boolean functions. This family includes Boolean functions w…

New X-date gives Congress a little more time (Hans Nichols/Axios)
https://www.axios.com/2025/06/25/congress-x-date-debt-limit
http://www.memeorandum.com/250625/p13#a250625p13

Nice to see them do Firefly...
'X-Files' and 'Wallace & Gromit' Are Getting Their Own Lego Sets
https://gizmodo.com/lego-x-files-wallace-and-gromit-ideas-sets-price-release-date-2000620172

Real Bialynicki-Birula flows in moduli spaces of Higgs bundles
Florent Schaffhauser, Tommaso Scognamiglio
https://arxiv.org/abs/2507.18613 https://arxiv.or…

Real Bialynicki-Birula flows in moduli spaces of Higgs bundles
Let $X$ be a compact Riemann surface $X$ of genus $\geqslant 2$ and let $σ:X \to X$ be an anti-holomorphic involution. Using real and quaternionic systems of Hodge bundles, we study the topology of the real locus $\mathbb{R} \mathbf{M}_{\mathrm{Dol}}(r,d)$ of the moduli space of semistable Higgs bundles of rank $r$ and degree $d$ on $X$, for the induced real structure $(E,ϕ) \to (σ^*(\overline{E}),σ^*(\overlineϕ))$. We show in particular that, when $\mathrm{gcd}(r,d)=1$, the number of conn…

On the intersection of Sylow subgroups in almost simple groups
Timothy C. Burness, Hong Yi Huang
https://arxiv.org/abs/2506.19745 https://

On the intersection of Sylow subgroups in almost simple groups
Let $G$ be a finite almost simple group and let $H$ be a Sylow $p$-subgroup of $G$. As a special case of a theorem of Zenkov, there exist $x,y \in G$ such that $H \cap H^x \cap H^y = 1$. In fact, if $G$ is simple, then a theorem of Mazurov and Zenkov reveals that $H \cap H^x = 1$ for some $x \in G$. However, it is known that the latter property does not extend to all almost simple groups. For example, if $G = S_8$ and $p=2$, then $H \cap H^x \ne 1$ for all $x \in G$. Further work of Zenkov in t…

look UP approved 👌🏻
Re: https://x.com/Prfe_Rodriguez/status/1948062980379181432

Angio-Diff: Learning a Self-Supervised Adversarial Diffusion Model for Angiographic Geometry Generation
Zhifeng Wang, Renjiao Yi, Xin Wen, Chenyang Zhu, Kai Xu, Kunlun He
https://arxiv.org/abs/2506.19455

Angio-Diff: Learning a Self-Supervised Adversarial Diffusion Model for Angiographic Geometry Generation
Vascular diseases pose a significant threat to human health, with X-ray angiography established as the gold standard for diagnosis, allowing for detailed observation of blood vessels. However, angiographic X-rays expose personnel and patients to higher radiation levels than non-angiographic X-rays, which are unwanted. Thus, modality translation from non-angiographic to angiographic X-rays is desirable. Data-driven deep approaches are hindered by the lack of paired large-scale X-ray angiography …

On a conjectural supercongruence involving the dual sequence $s_n(x)$
Chen Wang, Sheng-Jie Wang
https://arxiv.org/abs/2506.18287 https://

On a conjectural supercongruence involving the dual sequence $s_n(x)$
In 2017, motivated by a supercongruence conjectured by Kimoto and Wakayama and confirmed by Long, Osburn and Swisher, Z.-W. Sun introduced the sequence of polynomials: $$ s_n(x)=\sum_{k=0}^n\binom{n}{k}\binom{x}{k}\binom{x+k}{k}=\sum_{k=0}^n\binom{n}{k}(-1)^k\binom{x}{k}\binom{-1-x}{k} $$ and investigated its congruence properties. In particular, Z.-W. Sun conjectured that for any prime $p>3$ and $p$-adic integer $x\neq-1/2$ one has \begin{equation*} \sum_{n=0}^{p-1}s_n(x)^2\equiv (-1)^{\langle…

eine aktive und "gültige" Baustellen-Beschilderung nach "Stuttgarter Art". Ganz offensichtlich das Beste, was die bezahlten Fachleute aus der Verwaltung in @… auf die Reihe bekommen oder umsetzen wollen. :-\
#Schilderbingo

X-ray emission in IllustrisTNG circum-cluster environments. II -- Possible origins of the soft X-ray excess emission
Celine Gouin, Massimiliano Bonamente, Stephen Walker, Mohammad Mirakhor, Richard Lieu, Clotilde Laigle, Etienne Bonnassieux, Charlotte Welker, Stefano Gallo, Tony Bonnaire, Jade Paste
https://arxiv.org/abs/2506.18…

X-ray emission in IllustrisTNG circum-cluster environments. II -- Possible origins of the soft X-ray excess emission
An excess of soft X-ray emission (0.2-1 keV) above the contribution from the hot intra-cluster medium (ICM) has been detected in a number of galaxy clusters, including the Coma cluster. The physical origin of this emitting medium above hot ICM has not yet been determined, especially whether it be thermal or non-thermal. We aim to investigate which gas phase and gas structure more accurately reproduce the soft excess radiation from the cluster core to the outskirts, using simulations. By using t…

Nonlinear reversal of photo-excitation on the attosecond time scale improves ultrafast x-ray diffraction images
Anatoli Ulmer, Phay J. Ho, Bruno Langbehn, Stephan Kuschel, Linos Hecht, Razib Obaid, Simon Dold, Taran Driver, Joseph Duris, Ming-Fu Lin, David Cesar, Paris Franz, Zhaoheng Guo, Philip A. Hart, Andrei Kamalov, Kirk A. Larsen, Xiang Li, Michael Meyer, Kazutaka Nakahara, Robert G. Radloff, River Robles, Lara R\"onnebeck, Nick Sudar, Adam M. Summers, Linda Young, Peter Wal…

Nonlinear reversal of photo-excitation on the attosecond time scale improves ultrafast x-ray diffraction images
The advent of isolated and intense sub-femtosecond X-ray pulses enables tracking of quantummechanical motion of electrons in molecules and solids. The combination of X-ray spectroscopy and diffraction imaging is a powerful approach to visualize non-equilibrium dynamics in systems beyond few atoms. However, extreme x-ray intensities introduce significant electronic damage, limiting material contrast and spatial resolution. Here we show that newly available intense subfemtosecond (sub-fs) x-ray F…

Memo: Matt Murray says WaPo will test a new feature called "From the Source", inviting sources named in articles to comment on those articles after publication (Max Tani/@maxwelltani)
https://x.com/maxwelltani/status/1937874420434981298

Max Tani (@maxwelltani) on X
In a note to staff this morning shared with me, Washington Post editor Matt Murray announces that the paper will begin testing out a new feature called "from the source," which will invite sources named in articles to comment on those articles after they've been published

Estimation of Reconnection Rate From Soft X-Ray Emission at the Earth's Dayside Magnetopause: #SpaceWeather: https://www.cn.chiba-u.jp/en/news/press-release_e250722/

The metric compactification of a Kobayashi hyperbolic complex manifold and a Denjoy--Wolff Theorem
Vikramjeet Singh Chandel, Nishith Mandal
https://arxiv.org/abs/2507.18156 http…

The metric compactification of a Kobayashi hyperbolic complex manifold and a Denjoy--Wolff Theorem
We study the metric compactification of a Kobayashi hyperbolic complex manifold \(\mathcal{X} \) equipped with the Kobayashi distance \( \mathsf{k}_{\mathcal{X}} \). We show that this compactification is genuine -- i.e., \( \mathcal{X} \) embeds as a dense open subset -- even without completeness of \( \mathsf{k}_{\mathcal{X}} \), and that it becomes a \emph{good compactification} in the sense of Bharali--Zimmer when \((\mathcal{X}, \mathsf{k}_{\mathcal{X}}) \) is complete. As an application, w…

I have never been a tweeter. But a colleague shared this with me.
It predates the announcement by nasa brass by a day.
https://x.com/dogeai_gov/status/1915098704538669127?s=42
(Access:: I tried to paste all text into pic 1:: I also have eye problems and this is the best I can do, so please don’t give me 💩)

An AI video worth watching, sorry if it is a twitter hosted video, don’t know the original source:
https://x.com/me_observer_/status/1947080477589831790

Middle East Observer (@ME_Observer_) on X
⚡️ ⭕️ Boycott campaign shared on resistance social media: "Boycott Israeli products.... Don't be a pig"

And the world suddenly became a better place: https://mastodon.social/@verge/114563010203972684

Bestellt bei #Galaxus: https://www.galaxus.ch/de/s14/product/osram-led-tube-t5-hf-g5-7-w-1000-lm-1-x-e-leuchtmittel-24957988

Osram Led Tube T5 Hf (G5, 7 W, 1000 lm, 1 x, E)
LED-Röhren für elektronische Vorschaltgeräte. Kompatibel mit vielen handelsüblichen elektronischen Vorschaltgeräten. Produktvorteile: Kein Durchhängen dank Glastechnik. Einfacher, schneller und sicherer Lampenaustausch ohne Umverdrahtung. Hoher Lichtstrom für anspruchsvolle Beleuchtungsaufgaben. Auch geeignet für den Betrieb bei niedrigen Temperaturen. Anwendungsgebiete: Allgemeinbeleuchtung in Umgebungstemperaturen von -20…+45 °C. Büros, öffentliche Einrichtungen. Supermärkte und…

Communication Architecture for Autonomous Power-to-X Platforms: Enhancing Inspection and Operation With Legged Robots and 5G
Peter Frank, Falk Dettinger, Daniel Dittler, Pascal H\"abig, Nasser Jazdi, Kai Hufendiek, Michael Weyrich
https://arxiv.org/abs/2506.18572

Communication Architecture for Autonomous Power-to-X Platforms: Enhancing Inspection and Operation With Legged Robots and 5G
Inspection and maintenance of offshore platforms are associated with high costs, primarily due to the significant personnel requirements and challenging operational conditions. This paper first presents a classification of Power to X platforms. Building upon this foundation, a communication architecture is proposed to enable monitoring, control, and teleoperation for a Power to X platform. To reduce the demand for human labor, a robotic system is integrated to autonomously perform inspection an…

Cluster Spin Glass State in Ba$_3$Sb$_{1 x}$Co$_{2-x}$O$_{9-\delta}$: Cation Disorder and Mixed-Valence Co Dimers
Anzar Ali, Guratinder Kaur, Lukas Keller, Masahiko Isobe
https://arxiv.org/abs/2506.19716

Cluster Spin Glass State in Ba$_3$Sb$_{1+x}$Co$_{2-x}$O$_{9-δ}$: Cation Disorder and Mixed-Valence Co Dimers
We investigate the structural, magnetic, and thermodynamic properties of \BSCO\ ($x$ = 0.04, $δ$ = 0.54), a hexagonal perovskite featuring face-sharing CoO$_6$ octahedra that forms Co dimers. DC and AC magnetization measurements reveal a frequency-dependent spin-freezing transition consistent with glassy dynamics. AC susceptibility fits best to the Vogel-Fulcher model, indicating collective freezing of interacting spin clusters. Isothermal magnetization follows the Langevin function, suggestin…

Dynamics of Enveloping Semigroup of Flows
Sushmita Yadav, Puneet Sharma
https://arxiv.org/abs/2507.16232 https://arxiv.org/pdf/2507.1…

Dynamics of Enveloping Semigroup of Flows
In this article, we relate the dynamics of a flow $(X, T)$ with the dynamics of the induced flow $(E(X), T)$ where $E(X)$ is the enveloping semigroup of flow $(X, T)$. We establish that a flow $(X, T)$ is distal if and only if the induced flow is also distal. We prove that while the induced flow on the enveloping semigroup of an equicontinuous flow is equicontinuous, the converse holds when $(X, T)$ is point transitive. We prove that for any flow $(X,T)$, $(E(X),T)$ is isomorphic to $(E(E(X)),T…

A Remark on a Kind of Oscillatory Singular Integrals with Nonstarnd Kernel and Fewnomials Phases
Shen Jiawei
https://arxiv.org/abs/2506.17617 https://

A Remark on a Kind of Oscillatory Singular Integrals with Nonstarnd Kernel and Fewnomials Phases
In the paper, we study a kind of Oscillatory singular integral operator $T_{Q,A}$ with nonstandard Kernel defined by \[T_{Q,A} f(x)=\text { p.v. } \int_{\mathbb{R}^{n}} f(y) \frac{Ω(x-y)}{|x-y|^{n}}(A(x)-A(y)-\nabla A(x-y) e^{i Q(|x-y|)} d y, \] where $Q(t)$ is a real polynomial on $\mathbb{R}$, and $Ω$ is s a homogenous function of degree zero on $\mathbb{R}$ and satisfy satisfies the vanishing moment condition. Under the condition that $Ω\in Llog^2(\mathbb{R}^{n}),$ we …

On the Jordan-Chevalley-Dunford decomposition of operators in type $I$ Murray-von Neumann algebras
Soumyashant Nayak, Renu Shekhawat
https://arxiv.org/abs/2506.17227

On the Jordan-Chevalley-Dunford decomposition of operators in type $I$ Murray-von Neumann algebras
We show that, for $n \ge 3$, the mapping on $M_n(\mathbb{C})$ which sends a matrix to its diagonalizable part in its Jordan-Chevalley decomposition, is {\bf norm-unbounded} on any neighbourhood of the zero matrix. Let $X$ be a Stonean space, and $\mathcal{N}(X)$ denote the $*$-algebra of (unbounded) normal functions on $X$, containing $C(X)$ as a $*$-subalgebra. We show that every element of $M_n\big(\mathcal{N}(X)\big)$ has a unique Jordan-Chevalley decomposition. Furthermore, when $n \ge 3$ a…

Pour le moment, ce billet n'a atteint que partiellement sa cible :
❌ journalistes
❌ activistes (écolo, droits pour les animaux, etc.)
✅ minorités
https://infosec.exchange/@x_cli/114863134415940612
Je compte l'atteinte de la cible en fonction des bo…

Every single talk that I saw from @… is just fantastic and highly recommended. 🤩
https://rosa.codes/machines2025/

X-ray emission signatures of galactic feedback in the hot circumgalactic medium: predictions from cosmological hydrodynamical simulations
Emily M. Silich, John ZuHone, Elena Bellomi, Cameron Hummels, Benjamin Oppenheimer, Philip F. Hopkins, Cassandra Lochhaas, Sam B. Ponnada, Alexey Vikhlinin
https://arxiv.org/abs/2506.17440

X-ray emission signatures of galactic feedback in the hot circumgalactic medium: predictions from cosmological hydrodynamical simulations
Little is currently known about the physical properties of the hot circumgalactic medium (CGM) surrounding massive galaxies. Next-generation X-ray observatories will enable detailed studies of the hot CGM in emission. To support these future efforts, we make predictions of the X-ray emission from the hot CGM using a sample of 28 $\sim$Milky Way-mass disk galaxies at $z=0$ from seven cosmological hydrodynamical simulation suites incorporating a wide range of galactic feedback prescriptions. The …

X-ray and Optical Analysis of the Prototype Polar AN UMa
S. Ok, M. Yardimci, B. Kalomeni, A. Schwope
https://arxiv.org/abs/2506.18553 https://

X-ray and Optical Analysis of the Prototype Polar AN UMa
We present a long-term optical and X-ray photometric study of AN UMa, one of the prototypical polar-type cataclysmic variables, tracing more than 34 years of its accretion history. Observations from both ground-based and space-based facilities have been analysed to investigate state transitions within the system. Throughout this period, significant changes in the light curve have been observed, corresponding to different mass accretion states. From four years of TESS photometry, we derive a rev…

Computation and Sensitivity Analysis of the Deformation-Gradient Tensor Reconstruction in Dark-Field X-ray Microscopy
Brinthan Kanesalingam, Darshan Chalise, Carsten Detlefs, Leora Dresselhaus-Marais
https://arxiv.org/abs/2507.17929

Computation and Sensitivity Analysis of the Deformation-Gradient Tensor Reconstruction in Dark-Field X-ray Microscopy
Spatially resolved strain measurements are crucial to understanding the properties of engineering materials. Although strain measurements utilizing techniques such as transmission electron microscopy and electron backscatter diffraction offer high spatial resolution, they are limited to surface or thin samples. X-ray diffraction methods, including Bragg Coherent Diffraction Imaging and X-ray topography, enable strain measurements deep inside bulk materials but face challenges in simultaneously …

XRISM Pre-Pipeline and Singularity: Container-Based Data Processing for the X-Ray Imaging and Spectroscopy Mission and High-Performance Computing
Satoshi Eguchi, Makoto Tashiro, Yukikatsu Terada, Hiromitsu Takahashi, Masayoshi Nobukawa, Ken Ebisawa, Katsuhiro Hayashi, Tessei Yoshida, Yoshiaki Kanemaru, Shoji Ogawa, Matthew P. Holland, Michael Loewenstein, Eric D. Miller, Tahir Yaqoob, Robert S. Hill, Morgan D. Waddy, Mark M. Mekosh, Joseph B. Fox, Isabella S. Brewer, Emily Aldoretta, Y…

XRISM Pre-Pipeline and Singularity: Container-Based Data Processing for the X-Ray Imaging and Spectroscopy Mission and High-Performance Computing
The X-Ray Imaging and Spectroscopy Mission (XRISM) is the seventh Japanese X-ray observatory whose development and operation are in collaboration with universities and research institutes in Japan, the United States, and Europe, including JAXA, NASA, and ESA. The telemetry data downlinked from the satellite are reduced to scientific products using pre-pipeline (PPL) and pipeline (PL) software running on standard Linux virtual machines (VMs) for the JAXA and NASA sides, respectively. OBSIDs iden…

Searches for hidden sectors using $K^ \to\pi^ X$ decays
NA62 Collaboration
https://arxiv.org/abs/2507.17286 https://arxiv.org/pdf/250…

Searches for hidden sectors using $K^+\toπ^+X$ decays
Results from the study of the rare decays $K^+\toπ^+ν\barν$, $K^{+}\rightarrowπ^{+}μ^{+}μ^{-}$ and $K^{+}\rightarrowπ^{+}γγ$ at the NA62 experiment at CERN are interpreted in terms of improved limits for $\rm{B}(K^+\toπ^+X)$ and coupling parameters of hidden-sector models, where $X$ is a mediator. World-leading limits are achieved for dark photon, dark scalar and axion-like particle models.

Algebraic independence of solutions to multiple Lotka-Volterra systems
Yutong Duan, Christine Eagles, L\'eo Jimenez
https://arxiv.org/abs/2507.17090 https://

Algebraic independence of solutions to multiple Lotka-Volterra systems
Consider some non-zero complex numbers $a_i, b_i, c_i, d_i$ with $1 \leq i \leq n$ and the associated classical Lotka-Volterra systems \[ \begin{cases} x' = a_i xy + b_i y \newline y' = c_i xy + d_i y \text{ .} \end{cases} \] We show that as long as $b_i \neq d_i$ for all $i$ and $\{ b_i, d_i\} \neq \{ b_j, d_j\}$ for $i \neq j$, any tuples $(x_1,y_1) , \cdots , (x_m,y_m)$ of pairwise distinct, non-degenerate solutions of these systems are algebraically independent over $\mathbb{C}$…

Berichte: Microsoft plant weitere Kündigungswelle
Laut US-Medienberichten stehen noch im Juni umfangreiche Stellenstreichungen an. Im Spielebereich ist es die x-te in jüngster Zeit.
https://www.

Discovery of 146.8 s pulsations from EP J005146.9-730930, a new transient Be/X-ray binary in the SMC
F. Haberl, Y. Xu, C. Maitra, G. Vasilopoulos, W. Zhang, W. Yuan, C. Jin, H. N. Yang, L. Ducci, D. M. Kaltenbrunner, P. Maggi, A. Rau
https://arxiv.org/abs/2507.17380

Discovery of 146.8 s pulsations from EP J005146.9-730930, a new transient Be/X-ray binary in the SMC
Recent observations of the Small Magellanic Cloud (SMC) with Einstein Probe (EP) revealed a new transient X-ray source, most likely identified as Be/X-ray binary. To characterise the X-ray properties of EP J005146.9-730930 and in particular to look for pulsations in the X-ray flux, we triggered an XMM-Newton anticipated target of opportunity observation. To follow the flux evolution during the outburst we monitored the source for about three months with the Follow-up X-ray Telescope of EP. The …

Iterating sine, equivalence classes of variable changes, and groups with few conjugacy classes
Pavel Etingof
https://arxiv.org/abs/2506.16364 https://

Iterating sine, equivalence classes of variable changes, and groups with few conjugacy classes
This is an expository paper about iterations of a smooth real function $f$ on $[0,\varepsilon)$ such that $f(0)=0$, $f'(0)=1$, and $f(x)0$, i.e., the sequence defined by $x_{n+1}=f(x_n)$. This sequence has interesting asymptotics, whose study leads to the question of classifying conjugacy classes in the group of formal changes of variable $y=f(x)$, i.e., formal series $f(x)=x+a_2x^2+a_3x^2+...$ with real coefficients (under composition). The same classification applies over a finite …

On solutions to Hardy-Sobolev equations on Riemannian manifolds
Guillermo Henry, Jimmy Petean
https://arxiv.org/abs/2506.20089 https://

On solutions to Hardy-Sobolev equations on Riemannian manifolds
Let $(M,g)$ be a closed Riemannian manifold of dimension at least $3$. Let $S$ be the union of the focal submanifolds of an isoparametric function on $(M,g)$. In this article we address the existence of solutions of the Hardy-Sobolev type equation $Δ_g u+K(x)u=\frac{u^{q-1}}{\left(d_{S}(x)\right)^s}$, where $d_{S}(x)$ is the distance from $x$ to $S$ and $q>2$. In particular, we will prove the existence of infinite sign-changing solutions to the equation.

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Prince and The Revolution:
🎵 Let’s Go Crazy
#PrinceandTheRevolution
https://djchrisdiablo.bandcamp.com/track/98bpm-prince-x-the-revolution-lets-go-crazy-dj-chris-diablo-edit

Computation of the masses of the elementary particles
John Mashford
https://arxiv.org/abs/2506.18934 https://arxiv.org/pdf/2506.18934…

Computation of the masses of the elementary particles
An approach to gauge theory in the context of locally conformally flat space-time is described. It is discussed how there are a number of natural principal bundles associated with any given locally conformally flat space-time $X$. The simplest of these principal bundles is the bundle $P_X(G)$ with structure group $G=U(2,2)$. An 11 dimensional bundle $Q$ with structure group a certain 7 dimensional group $K$ is constructed by a method involving a reduction of structure group for the bundle $P_X(…

Smoothing topological pseudo-isotopies of 4-manifolds
Patrick Orson, Mark Powell, Oscar Randal-Williams
https://arxiv.org/abs/2507.16984 https://arxiv.org/…

Smoothing topological pseudo-isotopies of 4-manifolds
Given a closed, smooth 4-manifold $X$ and self-diffeomorphism $f$ that is topologically pseudo-isotopic to the identity, we study the question of whether $f$ is moreover smoothly pseudo-isotopic to the identity. If the fundamental group of $X$ lies in a certain class, which includes trivial, free, and finite groups of odd order, we show the answer is always affirmative. On the other hand, we produce the first examples of manifolds $X$ and diffeomorphisms $f$ where the answer is negative. Our in…

X-SHYNE: X-Shooter spectra of young exoplanet analogs II. Presentation and analysis of the full library
Simon Petrus, Ga\"el Chauvin, Micka\"el Bonnefoy, Pascal Tremblin, Caroline Morley, Benjamin Charnay, Genaro Suarez, Jonathan Gagn\'e, Paulina Palma-Bifani, Allan Denis, Matthieu Ravet, Amelia Bayo, Bruno B\'ezard, Beth Biller, Philippe Delorme, Jacqueline Faherty, Jayesh M. Goyal, Kielan Hoch, Kevin Hoy, James S Jenkins, Anne-Marie Lagrange, Baptiste Lavie, Michael…

X-SHYNE: X-Shooter spectra of young exoplanet analogs II. Presentation and analysis of the full library
The X-SHYNE library is a homogeneous sample of 43 medium-resolution (R=8000) infrared (0.3-2.5um) spectra of young (<500Myr), low-mass (<20Mjup), and cold (Teff=600-2000K) isolated brown dwarfs and wide-separation companions observed with the VLT/X-Shooter instrument. To characterize our targets, we performed a global comparative analysis. We first applied a semi-empirical approach. By refining their age and bolometric luminosity, we derived key atmospheric and physical properties, such as Teff…

Imaging valence electron rearrangement in a chemical reaction using hard X-ray scattering
Ian Gabalski, Alice Green, Philipp Lenzen, Felix Allum, Matthew Bain, Surjendu Bhattacharyya, Mathew A. Britton, Elio G. Champenois, Xinxin Cheng, James P. Cryan, Taran Driver, Ruaridh Forbes, Douglas Garratt, Aaron M. Ghrist, Martin Gra{\ss}l, Matthias F. Kling, Kirk A. Larsen, Mengning Liang, Ming-Fu Lin, Yusong Liu, Michael P. Minitti, Silke Nelson, Joseph S. Robinson, Philip H. Bucksbaum, Thom…

Imaging valence electron rearrangement in a chemical reaction using hard X-ray scattering
We have observed the signatures of valence electron rearrangement in photoexcited ammonia using ultrafast hard X-ray scattering. Time-resolved X-ray scattering is a powerful tool for imaging structural dynamics in molecules because of the strong scattering from the core electrons localized near each nucleus. Such core-electron contributions generally dominate the differential scattering signal, masking any signatures of rearrangement in the chemically important valence electrons. Ammonia repres…

Projected Normal Distribution: Moment Approximations and Generalizations
Daniel Herrera-Esposito, Johannes Burge
https://arxiv.org/abs/2506.17461 https://

Projected Normal Distribution: Moment Approximations and Generalizations
The projected normal distribution, also known as the angular Gaussian distribution, is obtained by dividing a multivariate normal random variable $\mathbf{x}$ by its norm $\sqrt{\mathbf{x}^T \mathbf{x}}$. The resulting random variable follows a distribution on the unit sphere. No closed-form formulas for the moments of the projected normal distribution are known, which can limit its use in some applications. In this work, we derive analytic approximations to the first and second moments of the …

💯💯💯
"If a billionaire bought one of your local haunts, renamed it, humiliated the employees, brought back many of the people who’d been banned for harassing other regulars, eliminated basic rules of decency, started having town halls with Republicans and a leader of the #AfD, taking your business elsewhere would be perfectly rational."
#

NWaaS: Nonintrusive Watermarking as a Service for X-to-Image DNN
Haonan An, Guang Hua, Yu Guo, Hangcheng Cao, Susanto Rahardja, Yuguang Fang
https://arxiv.org/abs/2507.18036 htt…

NWaaS: Nonintrusive Watermarking as a Service for X-to-Image DNN
The intellectual property of deep neural network (DNN) models can be protected with DNN watermarking, which embeds copyright watermarks into model parameters (white-box), model behavior (black-box), or model outputs (box-free), and the watermarks can be subsequently extracted to verify model ownership or detect model theft. Despite recent advances, these existing methods are inherently intrusive, as they either modify the model parameters or alter the structure. This natural intrusiveness raise…

Zitat des Tages: »Denken sie daran, wie ich schon vor langer Zeit vorausgesagt habe, dass Präsident Obama den Iran angreifen wird, weil er unfähig ist, anständig zu verhandeln und ihm jedes Geschick fehlt!«
Donald Trump am 11. November 2013 beim damaligen Twitter.
https://x.com/realDonaldTrump/sta…

p-adic Ghobber-Jaming Uncertainty Principle
K. Mahesh Krishna
https://arxiv.org/abs/2506.18913 https://arxiv.org/pdf/2506.18913

p-adic Ghobber-Jaming Uncertainty Principle
Let $\{τ_j\}_{j=1}^n$ and $\{ω_k\}_{k=1}^n$ be two orthonormal bases for a finite dimensional p-adic Hilbert space $\mathcal{X}$. Let $M,N\subseteq \{1, \dots, n\}$ be such that \begin{align*} \displaystyle \max_{j \in M, k \in N}|\langle τ_j, ω_k \rangle|<1, \end{align*} where $o(M)$ is the cardinality of $M$. Then for all $x \in \mathcal{X}$, we show that \begin{align} (1) \quad \quad \quad \quad \|x\|\leq \left(\frac{1}{1-\displaystyle \max_{j \in M, k \in N}|\la…

House Speaker Mike Johnson claimed in a post on X,
“JUST SIX MONTHS into President Trump’s second term, America is safer, stronger, and more prosperous”
—despite ample evidence to the contrary.
Meanwhile, the White House posted an absurd cartoon depicting a slimmed-down Trump with $100 bills and bald eagles flying in the air around him,
plus a nearly two-minute-long video that touted his alleged accomplishments.
But millions of Americans would disagree with those …

Six Months in, Trump Has Made American Life Immeasurably Worse
Dismantling the federal government, yanking support for poor and working-class Americans, and emboldening extremism have been among his accomplishments so far.

Woordle 1468 X/6
⬛⬛⬛⬛⬛
⬛🟨⬛🟩🟩
🟩🟩⬛🟩🟩
🟩🟩⬛🟩🟩
🟩🟩⬛🟩🟩
🟩🟩⬛🟩🟩

CoLT: The conditional localization test for assessing the accuracy of neural posterior estimates
Tianyu Chen, Vansh Bansal, James G. Scott
https://arxiv.org/abs/2507.17030

CoLT: The conditional localization test for assessing the accuracy of neural posterior estimates
We consider the problem of validating whether a neural posterior estimate \( q(θ\mid x) \) is an accurate approximation to the true, unknown true posterior \( p(θ\mid x) \). Existing methods for evaluating the quality of an NPE estimate are largely derived from classifier-based tests or divergence measures, but these suffer from several practical drawbacks. As an alternative, we introduce the \emph{Conditional Localization Test} (CoLT), a principled method designed to detect discrepancies bet…

Rational isolated $j$-invariants from $X_1(\ell^n)$ and $X_0(\ell^n)$
Abbey Bourdon, \"Ozlem Ejder
https://arxiv.org/abs/2506.19560 https://

Rational isolated $j$-invariants from $X_1(\ell^n)$ and $X_0(\ell^n)$
Let $\ell$ and $n$ be positive integers with $\ell$ prime. The modular curves $X_1(\ell^n)$ and $X_0(\ell^n)$ are algebraic curves over $\mathbb{Q}$ whose non-cuspidal points parameterize elliptic curves with a distinguished point of order $\ell^n$ or a distinguished cyclic subgroup of order $\ell^n$, respectively. We wish to understand isolated points on these curves, which are roughly those not belonging to an infinite parameterized family of points having the same degree. Our first main resu…

On gap sets in arbitrary Kummer extensions of $K(x)$
Ethan Cotterill, Erik A. R. Mendoza, Pietro Speziali
https://arxiv.org/abs/2506.19169 https://

On gap sets in arbitrary Kummer extensions of $K(x)$
Let $K$ be an algebraically closed field, and let $F/K(x)$ be a Kummer extension of function fields of genus $g$. We provide a compact and explicit description of the gap set $G(Q)$ at any totally ramified place $Q$ of the extension $F/K(x)$. As a consequence, we deduce structural properties of the Weierstrass semigroup $H(Q)$; in particular, we determine a generating set for $H(Q)$, and we characterize its symmetry in certain cases. We also generalize a formula due to Towse that describes the …

Xray2Xray: World Model from Chest X-rays with Volumetric Context
Zefan Yang, Xinrui Song, Xuanang Xu, Yongyi Shi, Ge Wang, Mannudeep K. Kalra, Pingkun Yan
https://arxiv.org/abs/2506.19055

Xray2Xray: World Model from Chest X-rays with Volumetric Context
Chest X-rays (CXRs) are the most widely used medical imaging modality and play a pivotal role in diagnosing diseases. However, as 2D projection images, CXRs are limited by structural superposition, which constrains their effectiveness in precise disease diagnosis and risk prediction. To address the limitations of 2D CXRs, this study introduces Xray2Xray, a novel World Model that learns latent representations encoding 3D structural information from chest X-rays. Xray2Xray captures the latent rep…

Launch of #Axiom4: https://x.com/SpaceX/status/1937805773402460315. Video clip from ESA: https://www.youtube.com/watch?v=-WTTcuGJE4o. Docking planned for 11:00 UTC Thursday: https://www.nasa.gov/blogs/spacestation/2025/06/25/ax-4-orbiting-toward-station-as-expedition-73-studies-pharma-blood-pressure/

¿Era necesario el espejo para lucir esas nalgas redonditas, jugositas y apretaditas? ¿¡Ah!?
RT: #PedroPascal…

Meet Aeneas: the AI that can fill in the gaps of damaged Latin texts
https://www.nature.com/articles/d41586-025-02335-x?utm_source=Live Audience&utm_campaign=371cd4c3c5-nature-briefing-daily-20250724

Einige der zuletzt hier besonders häufig geteilten #News:
Manipulation: Strafrechtliche Ermittlungen gegen X in Frankreich

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Tony J. Puthenpurakal, Rakesh B. T. Reddy
https://arxiv.org/abs/2505.17597

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Let $K$ be a field of characteristic zero. Let $R = K[X_0, X_1,\ldots,X_n]$ be standard graded. Let $A_{n+1}(K)$ be the $(n + 1)^{th}$ Weyl algebra over $K$. Let $I$ be a homogeneous ideal of $R$ and let $M = H^i_I(R)$ for some $i \geq 0$. By a result of Lyubeznik, $M$ is a graded holonomic $A_{n +1}(K)$-module for each $i \geq 0$. Let $χ^c(\mathbf{\partial}, M)$ ($χ^c(\mathbf{X}, M)$) be the Euler characteristics of de Rham cohomology (resp. Koszul cohomology) of $M$. We prove $χ^c(\mathb…

mal wieder der #Hölderlinplatz - beide Seiten der Fußgängerzone durch parkende Fahrzeuge blockiert.
Da kann man leider, leider, leider gar nichts machen wird man sich beim lokalen Ordnungsamt denken. 🙈
Oder halt einfach #StuttgartParktFair - was solls!

Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728
Ben Savoie
https://arxiv.org/abs/2506.17605 https://

Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728
We prove that there exist infinitely many elliptic curves over $\mathbb{Q}(i)$ of the form $y^2 = x^3 - γ^2 x$, where $γ\in \mathbb{Z}[i]$, with rank 2. In addition, we prove that if $p$ and $q$ are rational twin primes with $p \equiv 5 \bmod 8$, then $y^2 = x^3 + p q x$ has rank 2 over $\mathbb{Q}(i)$. Lastly, we prove that if $p$ is a rational prime of the form $p = a^2 + b^4$ (of which there are infinitely many) and $p \not\equiv 1 \bmod 16$, then $y^2 = x^3 - p x$ has rank 2 over $\mathbb…

A deep X-ray/UV look into the reflaring stage of the accreting millisecond pulsar SAX J1808.4-3658
Caterina Ballocco, Alessandro Papitto, Arianna Miraval Zanon, Giulia Illiano, Tiziana Di Salvo, Filippo Ambrosino, Luciano Burderi, Sergio Campana, Francesco Coti Zelati, Alessandro Di Marco, Christian Malacaria, Maura Pilia, Juri Poutanen, Tuomo Salmi, Andrea Sanna

A deep X-ray/UV look into the reflaring stage of the accreting millisecond pulsar SAX J1808.4-3658
We present a detailed X-ray/UV high-time resolution monitoring of the final reflaring phase of the accreting millisecond pulsar SAX~J1808.4$-$3658. During its 2022 outburst, we obtained simultaneous XMM-Newton and Hubble Space Telescope (HST) observations. We detected coherent X-ray pulsations down to a 0.5-10~keV luminosity of $L_{X(low)\,0.5-10} \simeq 6.21^{+0.20}_{-0.15} \times 10^{34} \, d^2_{3.5}\,\mathrm{erg \, s^{-1}}$, among the lowest ever observed in this source. The uninterrupted co…

On Growth of Sobolev norms for cubic Schr\"odinger equation with harmonic potential in dimensions $d=2,3$
Yilin Song, Ruixiao Zhang, Jiqiang Zheng
https://arxiv.org/abs/2506.17731

On Growth of Sobolev norms for cubic Schrödinger equation with harmonic potential in dimensions $d=2,3$
In this article, we study the growth of higher-order Sobolev norms for solutions to the defocusing cubic nonlinear Schrödinger equation with harmonic potential in dimensions $d=2,3$, \begin{align}\label{PNLS} \begin{cases}\tag{PNLS} i\partial_tu-Hu=|u|^{2}u,&(t,x)\in\mathbb{R}\times\mathbb{R}^d,\\ u(0,x)=u_0(x), \end{cases} \end{align} where $H=-Δ+|x|^2$. Motivated by Planchon-Tzvetkov-Visciglia [Rev. Mat. Iberoam., 39 (2023), 1405-1436], we first establish the bilinear St…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Prince and The Revolution:
🎵 Let’s Go Crazy
#PrinceandTheRevolution
https://djchrisdiablo.bandcamp.com/track/98bpm-prince-x-the-revolution-lets-go-crazy-dj-chris-diablo-edit

On a theorem of Narasimhan and Ramanan on deformations
V. Balaji, Y. Pandey
https://arxiv.org/abs/2506.17574 https://arxiv.org/pdf/25…

On a theorem of Narasimhan and Ramanan on deformations
Let $X$ be a smooth projective curve genus at least $3$, over an algebraically closed field $k$ of arbitrary characteristics. Let $\cM$ denote the moduli stack $\cM_X(\cH)$ of $\cH$-torsors on $X$, when $\cH$ {\em quasi-split absolutely simple, simply connected connected group scheme}. Using the theory of parahoric torsors and Hecke correspondences, we describe the cohomology groups $\text{H}^i(\cM, \cT_{_{\cM}}), i = 0,1,2$ and $\text{H}^i(\cM, Ω_{_{\cM}}), i = 0,1,2$ in terms of the curve $X…

Off-diagonal estimates of the Bergman kernel associated to Siegel varieties
Anilatmaja Aryasomayajula, Harinarayanan G
https://arxiv.org/abs/2506.17583 htt…

Off-diagonal estimates of the Bergman kernel associated to Siegel varieties
For $g\geq 2$, let $Γ\subset\mathrm{Sp}(2g,\mathbb{R})$ be a discrete subgroup, which is either a cocompact subgroup or an arithmetic subgroup without torsion elements, and let $\mathbb{H}_{g}$ denote the Siegel upper half space of genus $g$. Let $X_Γ:=Γ\backslash\mathbb{H}_{g}$ denote the quotient space, which is a complex manifold of dimension $g(g+1)/2$. Let $Ω_{X_Γ}$ denote the cotangent bundle, and let $\ell:=\mathrm{det}(Ω_{X_Γ})$ denote the determinant line bundle of $Ω_{X_Γ}$. …

Spin-polarized triplet excitonic insulators in Ta3X8 (X=I, Br) monolayers
Haohao Sheng, Jingyu Yao, Sheng Zhang, Quansheng Wu, Zhong Fang, Xi Dai, Hongming Weng, Zhijun Wang
https://arxiv.org/abs/2506.18686

Spin-polarized triplet excitonic insulators in Ta3X8 (X=I, Br) monolayers
Bose-Einstein condensation of spin-polarized triplet excitons can give rise to an intriguing spin supercurrent, enabling experimental detection of exciton condensation. In this work, we predict that Ta3X8 (X=I, Br) ferromagnetic monolayers are spin-polarized triplet excitonic insulators (EIs), based on the systematic first-principles GW calculations coupled with the Bethe-Salpeter equation (GW+BSE). The single-particle calculations of spin-polarized band structures reveal that these monolayers …

Sources: Meta, X, and LinkedIn appeal an unprecedented ~€1.04B VAT claim by Italy, which is seeking €887.6M from Meta, €12.5M from X, and ~€140M from LinkedIn (Emilio Parodi/Reuters)
https://www.reuters.com/world/europe/meta-x-linkedin…

Sets avoiding a rainbow solution to the generalized Schur equation
Ervin Gy\H{o}ri, Zhen He, Zequn Lv, Nika Salia, Casey Tompkins, Kitti Varga, Xiutao Zhu
https://arxiv.org/abs/2506.17117

Sets avoiding a rainbow solution to the generalized Schur equation
A classical result in combinatorial number theory states that the largest subset of $[n]$ avoiding a solution to the equation $x+y=z$ is of size $\lceil n/2 \rceil$. For all integers $k>m$, we prove multicolored extensions of this result where we maximize the sum and product of the sizes of sets $A_1,A_2,\dots,A_k \subseteq [n]$ avoiding a rainbow solution to the Schur equation $x_1+x_2+\dots+x_m=x_{m+1}$. Moreover, we determine all the extremal families.

Diffuse X-Ray-emitting Gas in the Central Region of Star-Forming Galaxies
Chunyi Zhang, Junfeng Wang
https://arxiv.org/abs/2506.17663 https://

Diffuse X-Ray-emitting Gas in the Central Region of Star-Forming Galaxies
The interstellar medium of galaxies, with temperatures reaching several million degrees, provides a pivotal perspective for understanding the physical and chemical properties of star formation, galactic evolution, and their associated feedback mechanisms. We use archival data from $Chandra$ observations to extract the diffuse X-ray emission from 23 nearby star-forming galaxies and study its correlation with star formation activity in the central region of these galaxies. The surface brightness …

Manipulation: Strafrechtliche Ermittlungen gegen X in Frankreich
Wegen Einmischung in innere Angelegenheiten samt betrügerischen Ausleitens von Daten ermittelt Frankreich gegen X. Dieses kooperiert nicht.
ht…

Stability results of the Bishop-Phelps-Bollob\'as property and the generalized AHSP
Thiago Grando, Elisa R. Santos
https://arxiv.org/abs/2506.17762 htt…

Stability results of the Bishop-Phelps-Bollobás property and the generalized AHSP
In this paper, we study the Bishop-Phelps-Bollobás property for operators (BPBp for short). To this end, we investigate the generalized approximate hyperplane series property (generalized AHSP for short) for a pair $(X,Y)$ of Banach spaces, which characterizes when $(\ell_1(X),Y)$ has the BPBp. We prove the following results. For $L$ a locally compact Hausdorff space and $\mathcal{A}$ a unital uniform algebra, if either $(X, \mathcal{C}_0(L,Y))$ or $(X, \mathcal{A}^Y)$ has the BPBp, then so do…

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Tony J. Puthenpurakal, Rakesh B. T. Reddy
https://arxiv.org/abs/2505.17597

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Let $K$ be a field of characteristic zero. Let $R = K[X_0, X_1,\ldots,X_n]$ be standard graded. Let $A_{n+1}(K)$ be the $(n + 1)^{th}$ Weyl algebra over $K$. Let $I$ be a homogeneous ideal of $R$ and let $M = H^i_I(R)$ for some $i \geq 0$. By a result of Lyubeznik, $M$ is a graded holonomic $A_{n +1}(K)$-module for each $i \geq 0$. Let $χ^c(\mathbf{\partial}, M)$ ($χ^c(\mathbf{X}, M)$) be the Euler characteristics of de Rham cohomology (resp. Koszul cohomology) of $M$. We prove $χ^c(\mathb…

A converse to Cartan's Theorem B: The extension property for real analytic and Nash sets
Jos\'e F. Fernando, Riccardo Ghiloni
https://arxiv.org/abs/2506.18347

A converse to Cartan's Theorem B: The extension property for real analytic and Nash sets
In 1957 Cartan proved his celebrated Theorem B and deduced that if $Ω\subset{\mathbb R}^n$ is an open set and $X$ is a coherent real analytic subset of $Ω$, then $X$ has the analytic extension property, that is, each real analytic function on $X$ extends to a real analytic function on $Ω$. The converse implication in its full generality remains unproven. In the literature only special cases of non-coherent real analytic sets $X\subsetΩ$ without the extension property appear, some of them du…

Elemental Abundances in X-ray Binary Outflows
Noa Keshet, Ehud Behar, Jon M. Miller
https://arxiv.org/abs/2506.19440 https://arxiv.or…

Elemental Abundances in X-ray Binary Outflows
Line resolved X-ray spectra of outflows from X-ray binaries are interesting since they provide quantifiable measures of the accreted material on to the compact object (black hole or neutron star), which can not be observed directly in the accretion disk. One such measurement that has been largely overlooked is that of the elemental abundances, which potentially provide insights into the origin of the ejected material. Using the Chandra/HETG grating spectrometer we measure and present elemental …

Memo: The Washington Post's Matt Murray says Krissah Thompson, head of WP Ventures, the paper's "third newsroom", will leave the company at the end of the month (Ben Mullin/@benmullin)
https://x.com/benmullin/status/1947644470293631273

Ben Mullin (@BenMullin) on X
Washington Post executive editor Matt Murray says WP Ventures head Krissah Thompson is leaving The Washington Post

XRISM insights for interstellar Sulfur: #XRISM Satellite X-rays Milky Way’s Sulfur: https://science.nasa.gov/centers-and-facilities/goddard/nasa-jaxa-xrism-satellite-x-rays-milky-ways-sulfur/

Es impresionante como muchos fanšticos de #Metallica aún no superan el Load.
RT: https://x.com/pitchfork/status/1936277223637733611

mal wieder so eine Stelle, an der man sich mit dem Rad einfach so in Luft auflösen muss.
Geplant und umgesetzt von den ausgebildeten und bezahlten Fachleuten der Stadt Stuttgart. :-\
#Schilderbingo #Pragstraße

Hausdorff dimension of the graph of the error-sum function of continued fractions
Min Woong Ahn
https://arxiv.org/abs/2507.16536 https://

Hausdorff dimension of the graph of the error-sum function of continued fractions
We study the unweighted error-sum function $\mathcal{E}(x) \coloneqq \sum_{n \geq 0} ( x- p_n(x)/q_n(x) )$, where $p_n(x)/q_n(x)$ is the $n$th convergent of the continued fraction expansion of $x \in \mathbb{R}$. We prove that the Hausdorff dimension of the graph of $\mathcal{E}$ is exactly $1$. Our proof is number-theoretic in nature and involves Möbius inversion, summation over coprime convergent denominators, and precise upper bounds derived via continued fraction recurrence relations. As a…

Meta, X und LinkedIn wehren sich gegen Steuerforderungen Italiens
Das Vorgehen der italienischen Behörden könnte einen Präzedenzfall für die Besteuerung von Digitalkonzernen in der EU schaffen. Der Ausgang ist ungewiss.

Periodic Hypersurfaces and Lee-Yang Polynomials
Lior Alon, Mario Kummer
https://arxiv.org/abs/2507.16029 https://arxiv.org/pdf/2507.1…

Periodic Hypersurfaces and Lee-Yang Polynomials
We prove a Fourier criterion for a $\mathbb{Z}^n$-periodic $C^{1+ε}$-hypersurface $Σ\subset\mathbb{R}^n$ to be algebraic in the sense that $Σ=Σ(p):=\{x\in\mathbb{R}^n : p(e^{2πi x_1},\dots,e^{2πi x_n})=0\}$ for some polynomial $p$. More precisely, each direction $\ell\in\mathbb{R}^n$ defines a periodic measure $m_{\ell}$ on $Σ$ by $dm_{\ell}(x)=|\langle\ell,\hat n(x)\rangle|\,dσ(x)$, with $\hat n(x)$ the unit normal to $Σ$ and $σ$ its $n-1$ dimensional surface measure. Our F…

No Clear Correlation between X-ray Spectral Properties and Polarization for High Synchrotron Peaked Blazars
M. Lynne Saade, Steven Ehlert, Ioannis Liodakis, Philip Kaaret, Fabrizio Tavecchio
https://arxiv.org/abs/2506.15826

No Clear Correlation between X-ray Spectral Properties and Polarization for High Synchrotron Peaked Blazars
IXPE has enabled the X-ray polarizations of many blazars to be measured. We analyze X-ray spectropolarimetric data for all high synchrotron peaked blazars observations published by the IXPE team. We find that there are no statistically significant correlations between the X-ray polarimetric properties of the blazars and their X-ray spectral properties. This implies that there is no connection between the energy distribution of the X-ray emitting electrons and the uniformity of the magnetic fiel…

The second moment of Ramanujan sums
Hong Ziwei, Zheng Zhiyong
https://arxiv.org/abs/2506.18395 https://arxiv.org/pdf/2506.18395

The second moment of Ramanujan sums
In this paper, we analyze $C(x, y)$, the second moment of Ramanujan sums. Assuming the Riemann Hypothesis, we derive an asymptotic formula for $C(x, y)$ with improved error term precision. The key feature of our approach is that it allows $x$ and $y$ to be arbitrarily close.

Totgesagte leben länger: EU-Cloudanbieter stellen sich hinter Gaia-X
Der CISPE-Verband europäischer Cloudanbieter will kurzfristig bis zu 3000 Online-Infrastrukturdienste verfügbar machen, die den Gaia-X-Vorgaben entsprechen.
…

The ranks of twists of an elliptic curve in characteristic $3$
Jo\~ao Paulo Guardieiro
https://arxiv.org/abs/2507.16785 https://arxiv…

The ranks of twists of an elliptic curve in characteristic $3$
Starting from the elliptic curve $E: y^2 = x^3 - x$ over $\mathbb{F}_9$, a curve $\mathcal{X}$ over $\mathbb{F}_{3^{2n}}$ and a cyclic cover of $\mathcal{X}$ of degree $m \in \{2,3,4,6\}$, we construct the corresponding $m$-twists over the function field $\mathbb{F}_{3^{2n}}(\mathcal{X})$. We also obtain the Mordell-Weil rank of these twists in terms of the Zeta functions of $\mathcal{X}$ and of suitable Kummer and Artin-Schreier extensions of it. Finally, we also describe the fibers of the ell…

da wollte der/die Fahrer:in dieser Harley ein:e richtig böse:r "Outlaw" sein und parkt einfach auf dem Gehweg und nicht auf dem eigenen Motorrad-Parkplatz gegenüber.
Aber die Mitarbeiter:innen des Ordnungsamtes in @… setzen sich einfach noch viel mehr über unsere Gesetze und kontrollieren Motorräder, die auf Gehwegen geparkt sind, schlicht ü…

Discovery of a 0.8-mHz quasi-periodic oscillations in the transient X-ray pulsar SXP31.0 and associated timing transitions
Alexander Salganik, Sergey S. Tsygankov, Sergey V. Molkov, Igor Yu. Lapshov, Alexander A. Lutovinov, Alexey Yu. Tkachenko, Alexander A. Mushtukov, Juri Poutanen
https://arxiv.org/abs/2506.19601

Discovery of a 0.8-mHz quasi-periodic oscillations in the transient X-ray pulsar SXP31.0 and associated timing transitions
We present the first broad-band spectral and timing study of the Be/X-ray pulsar XTE J0111.2$-$7317 (SXP31.0) during its first major outburst since its discovery in 1998. This giant Type II outburst, observed in April-June 2025, marks the source's return to activity after nearly three decades of quiescence. Utilizing our NuSTAR observations together with Swift/XRT and SRG/ART-XC ones, we trace the evolution of the outburst to a peak bolometric luminosity of $L_{\rm bol} = 3.6 \times 10^{38}$ er…

Einige der zuletzt hier besonders häufig geteilten #News:
Totgesagte leben länger: EU-Cloudanbieter stellen sich hinter Gaia-X

An integral comparison of crystalline and de Rham cohomology
Abhinandan, Alex Youcis
https://arxiv.org/abs/2507.17631 https://arxiv.o…

An integral comparison of crystalline and de Rham cohomology
Let $\mathcal{O}_K$ be a mixed characteristic complete DVR with perfect residue field $k$ and fraction field $K$. It is a celebrated result of Berthelot and Ogus that for a smooth proper formal scheme $X/\mathcal{O}_K$ there exists a comparison between the de Rham cohomology groups $\mathrm{H}^i_\mathrm{dR}(X/\mathcal{O}_K)$ and the crystalline cohomology groups $\mathrm{H}^i_\mathrm{crys}(X_k/W(k))$ of the special fibre, after tensoring with $K$. In this article, we use the stacky perspective …

Non-thermal emission in the central starburst region of M82
M. Persic (INAF-Padova, INFN-Trieste), R. Rando (U. Padova, INFN-Padova), Y. Rephaeli (U. Tel Aviv, UC San Diego)
https://arxiv.org/abs/2507.18199

Non-thermal emission in the central starburst region of M82
Diffuse non-thermal (NT) emission from the central starburst (CSB) of M82 has been measured at radio, X-ray and gamma-ray energies. Far-infrared (FIR), radio, and X-ray emission maps are mutually consistent, with radio and X-ray emissions spectrally similar - suggesting the latter to be Compton/FIR radiation. We present our analysis of 16.3 years of Fermi-LAT measurements, which - combined with newly-published VERITAS data - constitute the deepest, most extensive currently available gamma-ray d…

Einige der zuletzt hier besonders häufig geteilten #News:
Totgesagte leben länger: EU-Cloudanbieter stellen sich hinter Gaia-X

An unusual type-I X-ray burst from the neutron star X-ray binary IGR J17591-2342: a double-photospheric-radius-expansion burst?
Sudip Bhattacharyya, Akshay Singh, Andrea Sanna
https://arxiv.org/abs/2506.16632

An unusual type-I X-ray burst from the neutron star X-ray binary IGR J17591-2342: a double-photospheric-radius-expansion burst?
Type-I X-ray bursts observed from neutron stars originate from intermittent unstable thermonuclear burning of accreted matter on these stars. Such bursts, particularly those reaching the Eddington luminosity and having a temporary photospheric radius-expansion due to radiation pressure, provide a testbed to study nuclear fusion processes in intense radiation, gravity, and magnetic fields. Here, we investigate time-resolved spectroscopic properties of a type-I burst from the accretion-powered mi…

Um Trump nicht zu verärgern: Brüssel lässt DSA-Verfahren gegen X angeblich ruhen
Eigentlich wollte Brüssel wohl im Sommer entscheiden, ob und wie X wegen DSA-Verstößen bestraft wird. Nun soll wohl gewartet werden – um Trump nicht zu ärgern.

Relativistic X-ray reflection and thermonuclear burst from accreting millisecond X-ray pulsar SRGA J144459.2-604207
Manoj Mandal, Sachindra Naik, Birendra Chhotaray
https://arxiv.org/abs/2507.15982

Relativistic X-ray reflection and thermonuclear burst from accreting millisecond X-ray pulsar SRGA J144459.2-604207
We present the results obtained from the spectral and temporal study of thermonuclear bursts from the millisecond X-ray pulsar SRGA J144459.2-604207 detected with NICER. The dynamic evolution of the spectral parameters in a broad energy range is also investigated during a simultaneously detected burst with XMM-Newton and NuSTAR. The burst profiles exhibit a strong energy dependence, as observed with XMM-Newton, NICER, and NuSTAR. We investigated the reflection feature during these bursts using …