Tootfinder

Wolf admits sheep population is in ‘rapid decline’. https://flipboard.com/@thenewsdesk/business-nbfr4cs7z/-/a-1AhrCxHAS1i_bbcq3SK6Hw:a:43591897-/0

Google admits the open web is in ‘rapid decline’
The statement contradicts Google’s recent narrative about the health of the online ecosystem. For months, Google has maintained that the web is “thriving,” AI isn’t tanking traffic, and its search engine is sending people to a wider variety of websites than ever. But in a court filing from last …

The completeness of the Deligne-Ribet monoids
Takeo Uramoto
https://arxiv.org/abs/2507.05693 https://arxiv.org/pdf/2507.05693

The completeness of the Deligne-Ribet monoids
Following Cornelissen, Li, Marcolli, and Smit, this short paper proves that the isomorphism of the Deligne-Ribet monoids $DR_K, DR_L$ for two number fields $K, L$ implies the field isomorphism of $K$ and $L$. Thus the Deligne-Ribet monoid $DR_K$ gives a complete invariant of the number field $K$ as in the case of the absolute Galois group $G_K$.

I tried going for a 1km run this morning, first time out since tearing my calf back at the end of July.
After a few minutes walking, I started running slowly, only to make it a few hundred metres before feeling a weird "ping" in my leg that suggested I was maybe being over optimistic.
I walked the rest of the way, with no problems, but I'm a bit sad that I'm not quite ready to get back on the roads yet, to say nothing of the tennis court 😕

NBC News Story
How a Harvard initiative studying the Israeli-Palestinian conflict collapsed “Nobody came to our defense,” said Hussein Rashid, the program’s former assistant dean, who resigned from his post in January and left at the end of June. “Our students were fantastic — our administrators were cowards.”…The next day, Rashid sent his own scathing resignation letter, accusing Harvard of failing to intervene on behalf of the program against what he viewed as months…

Hussein RashidNBC News Story
How a Harvard initiative studying the Israeli-Palestinian conflict collapsed “Nobody came to our defense,” said Hussein Rashid, the program’s former assistant dean, who resigned from his post in Ja…

The problem of infinite Spin for parabolic and collision solutions in the planar $n$-body problem
Zhe Wang, Guowei Yu
https://arxiv.org/abs/2507.05801 http…

The problem of infinite Spin for parabolic and collision solutions in the planar $n$-body problem
In the planar $n$-body problem, the problem of infinite spin occurs for both parabolic and collision solutions. Recently Moeckel and Montgomery \cite{MM25} showed that there is no infinite spin for total collision solutions. Following their approach, we show it can not happen for both complete and partially parabolic solutions. Our approach also allows us to generalize Moeckel and Montgomery's result to partial collision solutions.

Following several months of interesting articles from various quarters in our #ProspectsForDegrowth series, we've written a summary and reflection on it all.
Prospects for Degrowth: the story so far. – degrowthUK

Prospects for Degrowth: the story so far.
by Anna Gregoletto and Mark H Burton1 In the series Prospects for Degrowth Overviews of the current conjuncture – openings and risks We opened the series with Mark’s stock take, Prospects for Degro…

Multiple NFL Executives Link Cowboys to Blockbuster Trade for $30 Million Pass Rusher https://heavy.com/sports/nfl/dallas-cowboys/trey-hendrickson-nfl-trade-rumors-news-2/?adt_ei=[email]

In 10 Minutes, UN’s Tsunami Warning System Notified Millions in East Asia Following Russian Earthquake https://www.goodnewsnetwork.org/in-10-minutes-uns-tsunami-warning-system-notified-millions-in-east-asia-follo…

In 10 Minutes, UN's Tsunami Warning System Notified Millions in East Asia Following Russian Earthquake
Thanks to this global monitoring system, which has been deployed for more than 20 years, millions of people in Japan and Russia were warned.

A new Bowen Fluorescence Flare and Extreme Coronal Line Emitter discovered by SRG/eROSITA
Pietro Baldini, Arne Rau, Riccardo Arcodia, Taeho Ryu, Zhu Liu, Paula S\'anchez-S\'aez, Iuliia Grotova, Andrea Merloni, Stefano Ciroi, Adelle J. Goodwin, Mariusz Gromadzki, Adela Kawka, Megan Masterson, Dus\'an Tub\'in-Arenas, David A. H. Buckley, Francesco Di Mille, Gemma E. Anderson, Sabina Bahic, David Homan, Mirko Krumpe, James C. A. Miller-Jones, Kirpal Nandra

A new Bowen Fluorescence Flare and Extreme Coronal Line Emitter discovered by SRG/eROSITA
The nuclear transient eRASSt J012026.5-292727 (J012026 hereafter) was discovered in the second SRG/eROSITA all-sky survey (eRASS2). The source appeared more than one order of magnitude brighter than the eRASS1 upper limits (peak eRASS2 0.2-2.3 keV flux of 1.14 x 10^-12 erg cm^-2 s^-1), and with a soft X-ray spectrum (photon index Gamma = 4.3). Over the following months, the X-ray flux started decaying, with significant flaring activity on both hour- and year-timescales. By inspecting the multiw…

Filings: SoftBank increased its Nvidia stake to ~$3B in Q1 and bought $330M worth of TSMC stock; a source says Vision Fund monetized ~$2B of assets in H1 2025 (Min Jeong Lee/Bloomberg)
https://www.bloomberg.com/news/articles/20