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Cowboys Headlines: UDFA OL already cut; front office reiterates stance on George Pickens https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2026/05/06/news-headlines-may-5-2…
SEC filing: SpaceX will reserve up to 5% of its Class A shares for select employees and executives' friends and family; 60% of shares have an extended lock-up (Charles Capel/Bloomberg)
https://www.bloomberg.com/news/articles/20
Wow, look at the value added by a Journal formatting this article, that probably cost a couple of thousand € taxpayers money. #rant #academicchatter #sorry_not_sorry
A Complete Characterization of Finite-Order Entire Solutions to Fermat-Type Partial Differential-Difference Systems in $\mathbb{C}^n$
Sujoy Majumder, Jhilik Banerjee, Abhijit Banerjee
https://arxiv.org/abs/2606.05240 https://arxiv.org/pdf/2606.05240 https://arxiv.org/html/2606.05240
arXiv:2606.05240v1 Announce Type: new
Abstract: The primary objective of this paper is to determine the explicit existence form and structure of finite-order entire solutions in $\mathbb{C}^n$ of the following system of Fermat-type partial differential-difference equations: \[\begin{cases} \left(\frac{\partial f_1\left(z\right)}{\partial z_1}\right)^{n_1} (f_2 \left(z c\right)-f_1(z) )^{m_1}= 1,
\medskip \left(\frac{\partial f_2\left(z\right)}{\partial z_1}\right)^{n_2} (f_1 \left(z c \right)-f_2(z) )^{m_2}= 1, \end{cases}\]
for different choices of the positive integers $n_1$, $n_2$, $m_1$, and $m_2$, where $c=(c_1,c_2,\ldots,c_n)$. We characterize the precise structure of finite-order transcendental entire solutions and extend the results of Xu et al. \cite{XLL1} from the setting of $\mathbb{C}^2$ to the more general space $\mathbb{C}^m$. In addition, several examples are presented to demonstrate the effectiveness and sharpness of the main results.
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07:16 AM
What a morning and long day it was last week! Was already out & about for 3 hours when I got to this place, earlier mostly taking hundreds of images of the nearby (~500m away) Breslauer Hut and vicinity during sunrise... The first large (and loud) group of people already got up at 4AM, getting ready for climbing Wildspitze, another group left an hour later, as did I. Maintenance/repair works on the hut continued at 08:30, taking lots more pictures to document, interviewin…
Non-Thermal Pressure due to Gas Motions in the Intracluster Medium: Confronting XRISM/Resolve with TNG-Cluster Simulations
Erwin T. Lau, Naomi Ota, Daisuke Nagai
https://arxiv.org/abs/2608.04757 https://arxiv.org/pdf/2608.04757 https://arxiv.org/html/2608.04757
arXiv:2608.04757v1 Announce Type: new
Abstract: Intracluster medium (ICM) gas motions probe cluster assembly, feedback, and non-thermal pressure support, but recent XRISM observations reveal velocity dispersions and non-thermal pressure fractions systematically lower than simulations predict, with extreme systems such as Abell 2029 falling below nearly all simulated clusters. Using the TNG-Cluster simulations, we show that the non-thermal pressure fraction depends sensitively on cool-core state and formation history, and provide a two-scale fitting function capturing both the inner cool-core suppression and outer rise of the radial profile. By forward-modeling mock XRISM observations and comparing them with both projected and intrinsic three-dimensional quantities, we find that azimuthal variations and projection effects contribute to the deficit in the observed velocity dispersion and non-thermal pressure fraction. This bias increases with radius and partially offsets the intrinsic outward rise in the true three-dimensional non-thermal pressure fraction. However, these effects cannot explain the extremely low values of the non-thermal pressure fraction observed in Abell 2029, which fall below approximately the 0th - 6th percentiles of the simulated cool-core cluster distribution at every measured radius under both the turbulence-only and turbulence-plus-bulk definitions. The remaining tension points to rare dynamical conditions or missing physics affecting the amplitude of gas motions in current ICM models.
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Chiefs HC Andy Reid says Eric Bieniemy's wife, Mia, out of ICU following shooting https://league-frontend.pocket.nfl.com/news/chiefs-hc-andy-reid-eric-bieniemy-wife-mia-out-of-icu-following-shooting
Andi Tepelena, a prominent activist and art curator organizing the 2026 civic protests in Tirana, Albania
made these remarks to emphasize the deepening political crisis.
He stated that m
"the regime has activated an army of patronage Nazis to tarnish the protest,"
but added that this battle has been won by the citizens and their supporters.
Tepelena stressed that protesters are united around the demand for the removal of the government and a profound c…