Tootfinder

Amazon Prime Video pulls its AI recaps, which it began testing in November, for Fallout, Bosch, and other shows after users noticed errors in the Fallout recaps (Emma Roth/The Verge)
https://www.theverge.com/news/842978/amazon-prime-video-ai-fallout-recap<…

Amazon Prime Video pulls AI-powered recaps after Fallout flub
Amazon Prime Video has pulled its AI-powered Video Recaps after viewers noticed errors in Fallout’s season one summary.

Amazon Prime Video pulls its AI recaps, which it began testing in November, for Fallout, Bosch, and other shows after users noticed errors in the Fallout recaps (Emma Roth/The Verge)
https://www.theverge.com/news/842978/amazon-prime-video-ai-fallout-recap<…

Amazon Prime Video pulls AI-powered recaps after Fallout flub
Amazon Prime Video has pulled its AI-powered Video Recaps after viewers noticed errors in Fallout’s season one summary.

Completed my first playthrough of Metroid Prime 4: Beyond on Switch 2 this evening. 100% items, 100% scans, in-game time was 21:48.
I am very much in this game’s target audience, having played all three previous Metroid Prime games at launch. Prime 4 fucking whips; hope we get another one someday.

Prime Security, which develops AI agents that help with security design during software development, raised a $20M Series A led by Scale Venture Partners (Chris Metinko/Axios)
https://www.axios.com/pro/enterprise-software-deals/2025/12/09…

Exclusive: Agentic AI startup Prime Security raises $20M
Scale Venture Partners led the Series A round.

Prime Implicant Explanations for Reaction Feasibility Prediction
Klaus Weinbauer, Tieu-Long Phan, Peter F. Stadler, Thomas G\"artner, Sagar Malhotra
https://arxiv.org/abs/2510.09226

Prime Implicant Explanations for Reaction Feasibility Prediction
Machine learning models that predict the feasibility of chemical reactions have become central to automated synthesis planning. Despite their predictive success, these models often lack transparency and interpretability. We introduce a novel formulation of prime implicant explanations--also known as minimally sufficient reasons--tailored to this domain, and propose an algorithm for computing such explanations in small-scale reaction prediction tasks. Preliminary experiments demonstrate that our…

Bayes Meets Riemann Again: Large Prime Discovery and Re-emergence of the Bone of Contention
Durba Bhattacharya, Sucharita Roy, Sourabh Bhattacharya
https://arxiv.org/abs/2510.09651

Bayes Meets Riemann Again: Large Prime Discovery and Re-emergence of the Bone of Contention
Prime numbers have fascinated mathematicians since antiquity, with ongoing efforts to uncover both their properties and ever-larger examples. While giant primes rarely aid cryptography, they find use in areas such as locally decodable codes. Large prime-hunting, often brute-force in nature, is conceptually linked to the Riemann Hypothesis and the prime number theorem, which portrays prime distribution as essentially random. This motivates a statistical perspective, with Bayesian methodology pro…

An algebraic approach to Latin squares of prime power order by local permutation polynomials
Ra\'ul M. Falc\'on, Jaime Guti\'errez, Jorge Jim\'enez Urroz
https://arxiv.org/abs/2510.09086

An algebraic approach to Latin squares of prime power order by local permutation polynomials
Every Latin square of prime power order $q$ is uniquely described by a local permutation polynomial (LPP) in the polynomial ring $\mathbb{F}_q[x,y]$. Despite this equivalence, one may find in the literature only some preliminary results on the relationship among Latin squares and LPPs. This paper delves into this topic by showing how the coefficients of any LPP are identified with the zeros of an algebraic set over $\mathbb{F}_q$. This allows for an algebraic description of all Latin squares of…

Government to invest in AI solutions to reduce administrative errors.
https://www.gov.uk/government/news/deputy-prime-minister-announces-new-measures-to-bear-down-on-releases-in-error-and-keep-public-safe<…

Deputy Prime Minister announces new measures to bear down on releases in error and keep public safe
Immediate action to clamp down on mistaken releases from prisons and restore public confidence in the criminal justice system has been announced by the Deputy Prime Minister today (Tuesday 11 November).

A Congruence for Sums of Integer Powers Modulo Products of Distinct Primes
Shao-Yuan Huang, Hsiu-Yu Wu
https://arxiv.org/abs/2510.10418 https://arxiv.org/p…

A Congruence for Sums of Integer Powers Modulo Products of Distinct Primes
Let p1, p2,..., pn be distinct prime numbers, and let Nn be their product. We prove that, for any positive integer L that is divisible by the least common multiple of p1 minus one, p2 minus one, and so on, and for integers a1, a2,..., an satisfying that each ai is relatively prime to Nn and shares the same prime factor pi, a certain congruence relation holds among their Lth powers.

A last-minute plan by Donald Trump to invite Benjamin Netanyahu to a multinational Gaza summit in Egypt
was aborted after the Turkish president, Recep Tayyip Erdoğan, said he would not land his plane in Sharm el-Sheikh if the invitation stood.
The mid-air power power struggle started after it was announced that the Israeli prime minister had accepted a late invitation from Trump

Ukraine's prime minister, top Zelensky aide heading to US next week: https://benborges.xyz/2025/10/09/ukraines-prime-minister-top-zelensky.html

Amazon Prime Video averages record 19.39 million viewers for Lions' victory over Cowboys https://www.foxsports.com/articles/nfl/amazon-prime-video-averages-record-1939-million-viewers-for-lions-victory-over-cowboys

KI soll 600.000 fehlende Beamte ersetzen? Klingt wie der Plan eines Startups, das gerade seine erste Fördermillion verbrannt hat.
Problem 1: KI ist kein Zauberstab.
Problem 2: Selbst wenn – die Infrastruktur dahinter gleicht oft noch einem Flickenteppich aus den 90ern.
Problem 3: Bürger wollen keine Algorithmen. Sie wollen funktionierende Behördengänge. Wie bei Amazon. Nur ohne Prime-Mitgliedschaft.

Amazon says advertising reaches 315M viewers across its series and films, live sports and events, and free, ad-supported live channels on Prime Video (Dade Hayes/Deadline)
https://deadline.com/2025/11/amazon-prime-video-ad-supported-reach-31…

Amazon Prime Video Ad-Supported Reach Hits 315M Monthly Viewers
Amazon says advertising on Prime Video now reaches 315 monthly viewers, up from 200 million in April 2024.

🪪 A shadowy L.A. crime ring is hijacking the IDs of foreign scholars, fraud expert says
https://www.latimes.com/california/story/2025-11-07/former-international-scholars-become-prime-prey-for-l-a-identity-theft-r…

L.A. identity theft ring targets former foreign scholars
An identity theft ring believed to be based in the Burbank area is using Social Security numbers from former foreign scholars to apply for bank accounts and lines of credit.

Good Morning #Canada
There is a lot of news coverage about a USA president that lusts after a Nobel Prize like he attacks a family sized bucket of KFC. So let's celebrate that OTD in 1957, the first Canadian won the peace prize - Lester B. Pearson. Before he became our 14th Prime Minister, he spent the majority of his career as a diplomat. He was one of the founders of the United Nations and almost ended up as its first Secretary General. He was instrumental in ending the Suez Canal crisis by suggesting and helping to implement the first U.N. Peacekeeping Force.
#CanadaIsAwesome #CanadianHeroes
https://www.nobelprize.org/prizes/peace/1957/pearson/facts/

Apple TV soll werbefrei bleiben – zumindest vorerst
Während Konkurrenten wie Netflix oder Prime mehr und mehr auf TV-Spots setzen, will Apple das nicht tun. Das sagt Diensteboss Eddy Cue.
https://www.

Why OpenAI is a prime example of the ethical limits of capitalism https://theconversation.com/why-openai-is-a-prime-example-of-the-ethical-limits-of-capitalism-270407

Why OpenAI is a prime example of the ethical limits of capitalism
Money and morality are a challenging corporate combination.

Amazon says ads on Prime Video reach 315M viewers across its series and films, live sports and events, and free, ad-supported live channels (Dade Hayes/Deadline)
https://deadline.com/2025/11/amazon-prime-video-ad-supported-reach-315-million-…

Amazon Prime Video Ad-Supported Reach Hits 315M Monthly Viewers
Amazon says advertising on Prime Video now reaches 315 monthly viewers, up from 200 million in April 2024.

Jets at Patriots on TNF: New uniform, old rivalry, what to expect from Prime's broadcast https://www.nytimes.com/athletic/6801668/2025/11/13/jets-patriots-tnf-drake-maye-how-to-watch/

Werbung bei Prime Video: Verbraucherzentrale verklagt Amazon auf 1,8 Milliarden
Die Verbraucherzentrale Sachsen verklagt Amazon auf 1,8 Milliarden Euro wegen Werbung auf Prime Video. Die neue Klage ergänzt eine Sammelklage aus dem Vorjahr.

Infantino, el lame suela
«El presidente de FIFA dio muestras de su natural actitud rastrera hacia el poder político constituido en la ceremonia del sorteo del Mundial. Una vergüenza que se selló con el premio a Donald Trump.»
https://www.encancha.cl/prime/opinion/2025

It is December, so it is time to share my #Warframe2024 report from last year before the 2025 one arrives, and yes, I play on Linux and have since 2023, running Warframe on Debian Trixie.
#Debian #Warframe

Ex-PM Sunak becomes human Clippy for Microsoft, Anthropic:
«Known for creating systems that defy logic and often require a forced restart, Sunak will continue to serve as an MP on the Conservative backbenches» 😄
https://www.theregister.com/2025/10/10/former_uk_prime_minister_rishi/?td=rt-3a

Prime-powered images and irreducible polynomials in dynamical semigroups
Aristaa Bhardwaj, Adrian Boyer-Paulet, Wade Hindes, Emma Qiu, Alexander Sun
https://arxiv.org/abs/2510.10310

Prime-powered images and irreducible polynomials in dynamical semigroups
Let $G=\langle x^d+c_1,\dots,x^d+c_s\rangle$ be a semigroup generated under composition for some $c_1,\dots,c_s\in\mathbb{Z}$ and some $d\geq2$. Then we prove that, outside of an exceptional one-parameter family, $G$ contains a large and explicit subset of irreducible polynomials if and only if it contains at least one irreducible polynomial. In particular, this conclusion holds when $G$ is generated by at least $s\geq3$ polynomials when $d$ is odd and at least $s\geq5$ polynomials when $d$ is …

"Cody Kociemba, the developer behind the Hack/House project, has taken it upon himself to maintain these aging devices. The solution is called "No Longer Evil," or “NLE” for short. It's an open-source project designed to give decommissioned Nest Thermostats a second life."
ht…

Google killed old Nest thermostats, but hackers are making them work again
A clever workaround restores lost functionality, but is it ready for prime time?

Prime Day Deals Are Mostly Just... the Price of Products Pre-Tariffs
https://gizmodo.com/prime-day-deals-are-mostly-just-the-price-of-products-pre-tariffs-2000669612

The European Union on Friday
indefinitely froze Russia’s assets in Europe
to ensure that Hungary and Slovakia,
both with Moscow-friendly governments,
can’t prevent the billions of euros from being used to support Ukraine.
Using a special procedure meant for economic emergencies,
the EU blocked the assets until Russia gives up its war on Ukraine
and compensates its neighbor for the heavy damage that it has inflicted for almost four years.
EU Cou…

EU set to lock up Russia's frozen assets so Hungary and Slovakia can't veto their use for Ukraine
The European Union is set to lock up Russia’s assets in Europe until Russia ends its war on Ukraine and compensates for the damage. The move expected on Friday would allow EU leaders to decide how to use Russian Central Bank assets to support Ukraine financially and militarily when they hold a summit next week. Hungarian Prime Minister Viktor Orbán opposes the decision. He has accused the European Commission of “raping European law.” The EU has frozen $247 billion in Russian assets. Most…

https://www.theguardian.com/technology/2025/oct/05/way-past-its-prime-how-did-amazon-get-so-rubbish
I wish they'd stop platforming TERFs, so I could start giving them money.

The stages of enshittification.
https://www.theguardian.com/technology/2025/oct/05/way-past-its-prime-how-did-amazon-get-so-rubbish?CMP=Share_iOSApp_Other

A prime minister is a minister that is not the product of two smaller ministers and thus is only divisible by 1 and itself.

Resolving stellar populations, star formation, and ISM conditions with JWST in a large spiral galaxy at z $\sim$ 2
Eleonora Parlanti, Giulia Tozzi Natascha M. F\"orster Schreiber, Claudia Pulsoni, Letizia Scaloni, Stavros Pastras, Pascal Oesch, Capucine Barfety, Francesco Belfiore, Jianhang Chen, Giovanni Cresci, Ric Davies, Frank Eisenhauer, Juan M. Espejo Salcedo, Reinhard Genzel, Rodrigo Herrera-Camus, Jean-Baptiste Jolly. Lilian L. Lee, Minju M. Lee, Daizhong Liu, Dieter Lutz,…

Resolving stellar populations, star formation, and ISM conditions with JWST in a large spiral galaxy at z $\sim$ 2
Cosmic noon represents the prime epoch of galaxy assembly, and a sweet spot for observations with the James Webb Telescope (JWST) and ground-based near-IR integral-field unit (IFU) spectrographs. This work analyses JWST NIRSpec Micro Shutter Array (MSA), NIRCam Wide Field Slitless Spectroscopy (WFSS) of K20-ID7, a large spiral, star-forming (SF) galaxy at z=2.2, with evidence for radial gas inflows. By exploiting the synergy with ground-based IFU ERIS observations, we conduct a comprehensive an…

Sum of short exponential sums with prime numbers
Firuz Rakhmonov
https://arxiv.org/abs/2510.09102 https://arxiv.org/pdf/2510.09102

Sum of short exponential sums with prime numbers
For sufficiently large integers $K$, $x$, $y$, and $q$ satisfying $K \le y < x$, where $f(u) = αu^n + α_{n-1}u^{n-1} + \ldots + α_1 u$ is a polynomial of degree $n$ with real coefficients, $n$ is a fixed positive integer, $α$ is a real number such that $\left|α- \frac{a}{q}\right| \le \frac{1}{q^2}$, $(a, q) = 1$, $q \ge 1$ and $\mathscr{L} = \ln x$, an estimate of the form $$ \sum_{k=1}^K \left| \sum_{x - y < p \le x} e(kf(p)) \right| \ll K y \left( \frac{1}{q} + \frac…

On 2-absorbing submodules and their Amalgamations
Abuzer Gunduz
https://arxiv.org/abs/2510.09863 https://arxiv.org/pdf/2510.09863

On 2-absorbing submodules and their Amalgamations
Let $R_1$ and $R_2$ be commutative rings with $1\neq 0,\;M$ and $N$ be unitary $R_1-$module and $R_2-$module, respectively. $f:R_1\rightarrow R_2$ be a ring homomorphism and $φ: M\rightarrow N$ be an $R-$module homomorphism. This article studied $2-$absorbing submodule that is a generalization of the concept of prime submodule. Firstly, some characterizations of $2-$absorbing submodule are presented. Then, we examine the notion of $2-$absorbing submodule in amalgamation module $M \bowtie^φ JN…

Spreading fronts: numerical simulations on discrete models and continuous equations
J. M. Marcos
https://arxiv.org/abs/2510.11324 https://arxiv.org/pdf/251…

Spreading fronts: numerical simulations on discrete models and continuous equations
Out-of-equilibrium systems, inherently complex and challenging to understand, are prevalent across various disciplines, including physics where they arise in contexts such as fluid dynamics. In particular, critical out-of-equilibrium systems combine this complexity with the scaling laws and universality classes observed in critical phenomena, with kinetic surface roughening, the study of how a flat surface becomes progressively rougher over time, serving as a prime example. This behavior manife…

Finite groups of non-prime-power order with exactly four character codegrees
Yu Zeng, Mehdi Ghaffarzadeh, Mohsen Ghasemi, Dongfang Yang
https://arxiv.org/abs/2510.08221 https://…

Finite groups of non-prime-power order with exactly four character codegrees
For an irreducible complex character \(χ\) of a finite group \(G\), the \emph{codegree} of \(χ\) is defined as the ratio \(|G : \ker(χ)| / χ(1)\), where \(\ker(χ)\) represents the kernel of \(χ\). In this paper, we provide a detailed characterization of finite groups of non-prime power order that have exactly four irreducible character co-degrees.

Game Preview: Broncos set for prime-time tilt with division rival Raiders https://www.denverbroncos.com/news/game-preview-broncos-set-for-prime-time-tilt-with-division-rival-raiders

So will the BBC give a prime News at 10 slot to this?
No because unlike a munitions factory blowing up in the USA, this is brown people and not in the Imperial centre.
Mexico floods leave at least 27 dead and more missing - BBC News
https://www.bbc.co.uk/news/arti…

Mexico floods leave at least 27 dead and more missing
Heavy rainfall has caused river banks to burst and triggered landslides, carrying away homes and cars.

@… two precautions that may help, in lossy situations:
pkg prime-origins | sort -u > /var/tmp/pkg-prime-origins.txt
/usr/local/etc/periodic/daily/411.pkg-backup
If – following an issue – you predict the need to revert to the backup, you can:
service cron stop

Belgium’s Prime Minister says the Kremlin warned of ‘eternal consequences’ over confiscating frozen Russian assets: https://benborges.xyz/2025/12/06/belgiums-prime-minister-says-the.html

Neuer Film mit Bastian Pastewka: Prime Video nennt Details https://www.mobiflip.de/neuer-film-mit-bastian-pastewka-prime-video-nennt-details/

Neuer Film mit Bastian Pastewka: Prime Video nennt Details
Der Streamingdienst Prime Video gibt den Starttermin für den neuen Originalfilm Fabian und Die mörderische Hochzeit bekannt. Der von UFA Fiction produzierte Film erscheint laut Prime Video am 6. Februar …

Bummer. I was looking forward to discovery.
“Amazon to pay $2.5 billion to settle FTC allegations it duped customers into enrolling in Prime”
https://apnews.com/article/amazon-prime-ftc-bezos-online-shopping-a3aa849de1279e3675a162ec6815…

Amazon to pay $2.5 billion to settle FTC allegations it duped customers into enrolling in Prime
Amazon has reached a historic $2.5 billion settlement with the Federal Trade Commission which said the online giant tricked customers into signing up for its Prime memberships, and made it difficult to cancel after they did so. The Seattle company will pay $1 billion in civil penalties — the largest fine in FTC history, and $1.5 billion will be paid to consumers who were unintentionally enrolled in Prime, or were deterred from canceling their subscriptions.

Neue Filme und Serien bei Netflix, Disney und Amazon Prime im Dezember 2025
Im Dezember startet bei Amazon die 2. Staffel von „Fallout“. Netflix zeigt „Jay Kelly“ und bei Disney läuft „Die Rosenschlacht“.

Warte mal wieder auf ein amazon paket ... hab mein prime zum monats ende gekündigt ... das paket soll zwischen 16.15 und 18.15 da sein.
Ich rechne mit montag lol

Reminder: It was Netanyahu who ended the previous ceasefire, 6 months ago, presumably with Trump's permission.
https://apnews.com/article/israel-pale

Why Netanyahu ended the Gaza ceasefire with surprise strikes
The wave of Israeli strikes that killed hundreds of Palestinians across the Gaza Strip early Tuesday was the culmination of Prime Minister Benjamin Netanyahu’s efforts to get out of the ceasefire with Hamas that he agreed to in January. Since the start of the war, Netanyahu has faced dueling, possibly incompatible pressures. Families of the hostages want him to cut a deal with Hamas to free them. His far-right coalition partners want to continue the war with the aim of annihilating the milita…

Falcons vs. Buccaneers: Three must-know storylines for Thursday's Week 15 prime-time game https://www.nfl.com/news/falcons-vs-buccaneers-three-must-know-storylines-week-15-tnf

Werbung bei Prime Video: Verbraucherzentrale verklagt Amazon auf 1,8 Milliarden | heise online
https://heise.de/-11099444

Werbung bei Prime Video: Verbraucherzentrale verklagt Amazon auf 1,8 Milliarden
Die Verbraucherzentrale Sachsen verklagt Amazon auf 1,8 Milliarden Euro wegen Werbung auf Prime Video. Die neue Klage ergänzt eine Sammelklage aus dem Vorjahr.

An analysis of nearly 50 Amazon purchases over six months in 2025: during the October 7-8 Prime Day sales, average savings were only 0.6% and some items went up (Geoffrey A. Fowler/Washington Post)
https://www.washingtonpost.com/technology/2025/10/09/amazon-prim…

I tracked Amazon’s Prime Day prices. We’ve been played.
Here’s what you should do to actually get a good deal on Amazon.

"Cop out? Anthony Albanese wants to host the next global climate summit – so why isn’t he attending this one?"
#COP30 #ClimateSummit

Today I learned about Yorkshire Pudding - and I've decided I need to try my hand at making them.

This recipe seems to be an exhaustive examination of the different myths and factors that surround the famous popover accomplice to decadent Prime Rib...
https://www.seriouseats.com/the-be…

The Best Yorkshire Pudding Recipe
The secret to the ultimate Yorkshire pudding is making the batter in advance. The result is Yorkshire pudding that rises tall, is tender and lightly chewy.

Parrot Analytics: movies made up ~50% of streaming revenue across Netflix, Prime Video, Disney , and WBD in 2024, up from ~27% in 2022, based on engagement data (Alejandro Rojas/The Hollywood Reporter)
https://www.hollywoodreporter.com/business/b…

How Movies Increasingly Drive Streaming Revenue
A Parrot Analytics analysis of thousands of titles across Amazon Prime Video, Disney+, Netflix, and Max finds that movies deliver disproportionately high engagement relative to the volume of content hours they represent.

Dutch, Lithuanian prime ministers visit Kyiv as security concerns grow across Europe: https://benborges.xyz/2025/10/06/dutch-lithuanian-prime-ministers-visit.html

„Metroid Prime 4: Beyond“: Spektakuläre Rückkehr ohne große Überraschungen
Nach 17 Jahren Wartezeit geht die „Metroid Prime“-Saga endlich in die nächste Runde. „Metroid Prime“ setzt auf bewährte Qualitäten.

How to see two bright, once-in-a-lifetime comets with your naked eye
The comets, C/2025 A6 (Lemmon) and C/2025 R2 (SWAN), are already showing off their green tails to cameras and telescopes.
But the best chances to see them with the naked eye from the northern hemisphere should be in the second half of the month.

“What stands out about these two is their potential brightness,” said Erika Gibb, an astrobiologist at the University of Missouri-St. Louis.
“For sky-gaz…

How to see two bright, once-in-a-lifetime comets with your naked eye
Comet Lemmon and Comet SWAN will be closest to Earth as a new moon sets up prime viewing conditions. Add in a meteor shower and we may get spectacular sky gazing.

‘These are the ones you look forward to’: Broncos eager for prime-time AFC West showdown with Raiders https://www.denverbroncos.com/news/these-are-the-ones-you-look-forward-to-broncos-eager-for-prime-time-afc-wes…

Cowboys cling to playoff hopes as Vikings visit with focus on McCarthy's growth https://www.foxsports.com/articles/nfl/cowboys-cling-to-playoff-hopes-as-vikings-visit-with-focus-on-mccarthys-growth

Suspects in Energoatom corruption scheme funded luxury houses for ex-deputy prime minister, journalists say: https://benborges.xyz/2025/11/12/suspects-in-energoatom-corruption-scheme.html

An effective Bombieri-Vinogradov error term for sifting problems
Daniel R. Johnston
https://arxiv.org/abs/2510.10853 https://arxiv.org/pdf/2510.10853

An effective Bombieri-Vinogradov error term for sifting problems
In number theory, many major results related to the twin prime and Goldbach conjectures are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed. The reason for this ineffectivity is due to the reliance on the Bombieri-Vinogradov theorem. In this paper, we show that any classical sifting problem with a Bombieri-Vinogradov style error term can in fact be made e…

Freitag: Rekordstrafe für Amazon wegen Prime-Abos, App bezahlt für Abhörung
Unlautere Prime-Methoden Abhören für KI gegen Geld Schneeballsystem der RadioShack-Käufer Updates für Windows 10 weiter gratis Verbraucherschutz-Podcast

Raiders vs. Broncos: Three must-know storylines for Thursday's Week 10 prime-time game https://www.nfl.com/news/raiders-vs-broncos-three-must-know-storylines-tnf-week-10-prime-time-game

Metroid Prime 4: Beyond has been delightful so far. More as I continue playing it, but it’s a visual and aural masterpiece whose gameplay actually picks up from where Prime 3 left off, which was a pleasant surprise.

Europe’s populist worries will intensify today
when right-wing billionaire Andrej Babiš becomes Czech prime minister.
Combined with Hungary’s Viktor Orbšn and Slovakia’s Robert Fico,
Babiš has the potential to jam up the legislative machinery in Brussels as it works on key files.
Czech President Petr Pavel is set to appoint Babiš to the position
after resolvinglongstanding conflict-of-interest issues related to the PM-elect’s conglomerate, Agrofert.
Babiš…

New Czech PM Babiš is poised to aggravate Brussels’ populist headache
Andrej Babiš could find common cause with Hungary’s Viktor Orbán and Slovakia’s Robert Fico on several issues.

I was reminded of a line in an episode from this Goonish Spike Milligan radio series,
The Omar Khayyam Show, by the resignation of the French Prime Minister after a month. "Can I speak to the Prime Minister please?" "Which one, we change them every month; it keeps them fresher".
My introduction to Milligan, heard on a crystal set I built in the last year of primary school. 1963.
I heard of the Kennedy assassination on the same kit.
Wikipedia

Sources: Tesla abandoned Elon Musk's goal to make thousands of Optimus robots in 2025 due to significant technical challenges, especially with the robots' hands (Theo Wayt/The Information)
https://www.theinformation.com/articles/el…

As Elon Musk Preps Tesla’s Optimus for Prime Time, Big Hurdles Remain
When Elon Musk takes the stage at Tesla’s annual meeting next month, one of the centerpieces of his plan to impress shareholders will be a dancing troupe of Optimus bots, the humanoid machines that he says will eventually eclipse Tesla’s electric vehicle business, which is suffering from ...

$p$-retract Rationality and Norm One Tori
Kazuki Sato
https://arxiv.org/abs/2510.10027 https://arxiv.org/pdf/2510.10027

$p$-retract Rationality and Norm One Tori
We study whether the norm one torus associated with a finite separable non-Galois field extension $K/k$ is $p$-retract rational over $k$ for a prime $p$, focusing on the case where the Galois group of the Galois closure of $K/k$ is either the symmetric or the alternating group.

Amazon.com zahlt Rekordstrafe für untergeschobene Prime-Abos
Seit Jahren drängt Amazon.com mit unschönen Methoden Prime-Abos auf und erschwert deren Kündigung. Jetzt setzt es eine US-Strafe von einem halben Tagesumsatz.

Dak Prescott embraces a must-win finish for Cowboys, starting with visit from Vikings https://www.foxsports.com/articles/nfl/dak-prescott-embraces-a-mustwin-finish-for-cowboys-starting-with-visit-from-vikings

Amazon Fire TV adds an Alexa feature enabling Prime Video users to skip to movie scenes using natural language descriptions, character names, or famous quotes (Lucas Manfredi/The Wrap)
https://www.thewrap.com/amazon-fire-tv-prime-video-alexa-plus-a…

Amazon Fire TV's New Alexa+ Feature Will Let Prime Video Users Skip to Their Favorite Movie Scenes
The new AI-powered Alexa+ feature will expand to TV shows on the streamer at a later date

Insiders detail how Nepal's Gen Z protests, born on Discord servers, TikTok feeds, and encrypted messaging apps, ended with an online poll to pick the new PM (Tulsi Rauniyar/Wired)
https://www.wired.com/story/nepal-discord-gen-z-protests-vote-prime-…

The Inside Story of How Gen Z Toppled Nepal’s Leader and Chose a New One on Discord
The revolution started on social media. It ended with protests, violence, and an online poll to pick the new prime minister.

Eagles vs. Giants: Three must-know storylines for Thursday's Week 6 prime-time game https://www.nfl.com/news/eagles-vs-giants-three-must-know-storylines-tnf-week-6

Fundamental domains for quaternionic S-arithmetic groups over totally real fields
Marc Masdeu, Eloi Torrents
https://arxiv.org/abs/2510.09356 https://arxiv…

Fundamental domains for quaternionic S-arithmetic groups over totally real fields
Let $B$ be a totally-definite quaternion algebra over a totally real field $F$, let $\mathfrak{p}$ be a prime ideal of $F$, and let $Γ$ be the group of reduced norm-$1$ elements of an Eichler $\mathcal{O}_F[1/\mathfrak{p}]$-order $R$ inside $B$. We give an algorithm to compute the fundamental domain for the action of $Γ$ on the Bruhat-Tits tree of $\operatorname{GL}_2(F_\mathfrak{p})$. Using this, we tabulate Shimura curves of genus up to $3$ over any totally real field which can be $\mathfra…

A book excerpt details the "enshittification" of Amazon, and how its "flywheel" technique now enriches the company at the expense of merchants (Cory Doctorow/The Guardian)
https://www.theguardian.com/technology/2025/oct/…

On some conjectural supercongruences involving the sequence $t_n(x)$
Hui-Li Han, Chen Wang
https://arxiv.org/abs/2510.11338 https://arxiv.org/pdf/2510.1133…

On some conjectural supercongruences involving the sequence $t_n(x)$
In this paper, we study some supercongruences involving the sequence $$ t_n(x)=\sum_{k=0}^n\binom{n}{k}\binom{x}{k}\binom{x+k}{k}2^k $$ and solve some open problems. For any odd prime $p$ and $p$-adic integer $x$, we determine $\sum_{n=0}^{p-1}t_n(x)^2$ and $\sum_{n=0}^{p-1}(n+1)t_n(x)^2$ modulo $p^2$; for example, we establish that \begin{align*} \sum_{n=0}^{p-1}t_n(x)^2\equiv\begin{cases} \left(\dfrac{-1}{p}\right)\pmod{p^2},&\text{if }2x\equiv-1\pmod{p},\\[8pt] (-1)^{\langle x\rangle…

Amazon partners with FanDuel to allow viewers to track their NBA wagers in real time during NBA games on Prime Video (CNBC)
https://www.cnbc.com/2025/09/30/amazon-prime-fanduel-real-time-nba-betting-updates.html

Amazon Prime Video teams up with FanDuel for real-time betting updates during NBA games
Bettors will be able to link their FanDuel accounts to their Prime Video profiles and see how their wagers are playing out in real time.

Neue Filme und Serien bei Netflix, Disney und Amazon Prime im November 2025
Im November zeigt Netflix "Frankenstein". Bei Disney läuft "The Fantastic Four: First Steps", während bei Amazon "Robin Hood" startet.

Where to watch Patriots vs. Saints: TV channel, live stream, prediction, pick, odds, spread

https://www.cbssports.com/nfl/news/where-to-watch-pat…

On the Ratat-Goormaghtigh equation and integer points close to the graph of a smooth function
Tomohiro Yamada
https://arxiv.org/abs/2510.11252 https://arxi…

On the Ratat-Goormaghtigh equation and integer points close to the graph of a smooth function
We prove that the sum of reciprocals $1/x$ of integer solutions of $(x^m-1)/(x-1)=N$ with $x, m\geq 2$ for a given integer $N$ except the smallest $x$ is smaller than $5.9037$. If we limit $x$ to be prime, then the sum is smaller than $0.73194$.

Amazon unveils updates to Luna, including adding AAA games like Hogwarts Legacy and new GameNight original party games, available to Prime subscribers (Jennifer Maas/Variety)
https://variety.com/2025/digital/news/amazon-prime-gaming-luna-cha…

Amazon Prime Gaming's Luna Changes, Execs on AAA Video Games
Amazon is revamping its cloud-gaming service Luna to offer a wide variety of top-tier games.

French Prime Minister
Sébastien Lecornu has spoken to reporters,
about an hour after announcing his resignation.
“I was ready to compromise,
but each political party wanted the other political party to adopt its entire program,”
he said from the courtyard of Matignon Palace, the prime minister’s headquarters

On the distinction between Kloosterman sums and multiplicative functions
Yang Zhang
https://arxiv.org/abs/2510.10721 https://arxiv.org/pdf/2510.10721

On the distinction between Kloosterman sums and multiplicative functions
Let $S(a,b;n)$ be the Kloosterman sum. For any integers $a\neq0,b\neq0,k\geqslant2$, any given complex number $η\not=0$ and multiplicative function $f: \mathbb{N} \rightarrow \mathbb{C}$, we show that \[ |\{n\leqslant X:S(a,b;n)=ηf(n), n \text{ square-free }k\text{-almost prime}\}|\leqslant π(\dfrac{X}{L_k})+O(X^{1-\frac{1}{2k}}) \] and \[ |\{n\leqslant X:S(a,b;n)=ηf(n), n \text{ square-free}\}|\leqslant π(X)+O(Xe^{-\sqrt{\log X}}) \] as $X\rightarrow \infty$. Here, $L_…

FanDuel Sports plans to stream select live local NBA and NHL games on apps like Pluto TV, Samsung TV Plus, and Prime Video for free starting in mid-November (Matthew Keys/TheDesk.net)
https://thedesk.net/2025/10/fanduel-sports-free-nba-nhl-games-pluto…

FanDuel Sports bringing NBA, NHL games to free streaming TV apps
Select games from FanDuel Sports Network are coming to Pluto TV, Samsung TV Plus and Prime Video for free.

Amazon Fire TV adds an Alexa feature enabling Prime Video users to skip to movie scenes using natural language descriptions, character names, or famous quotes (Lucas Manfredi/The Wrap)
https://www.thewrap.com/amazon-fire-tv-prime-video-alexa-plus-a…

Amazon Fire TV's New Alexa+ Feature Will Let Prime Video Users Skip to Their Favorite Movie Scenes
The new AI-powered Alexa+ feature will expand to TV shows on the streamer at a later date

Neue Filme und Serien bei Netflix, Disney und Amazon Prime im Oktober 2025
Im Oktober läuft bei Netflix die 4. Staffel von "The Witcher". Disney zeigt "Disney Twisted Wonderland: The Animation" während bei Amazon "Play Dirty" startet.

On the growth of Tate-Shafarevich groups of $p$-supersingular abelian varieties of ${\rm GL}_2$-type over $\mathbb{Z}_p$-extensions of number fields
Erman Isik, Antonio Lei
https://arxiv.org/abs/2510.11511

On the growth of Tate-Shafarevich groups of $p$-supersingular abelian varieties of ${\rm GL}_2$-type over $\mathbb{Z}_p$-extensions of number fields
We study the boundedness of the Mordell-Weil rank and the growth of the $v$-primary part of the Tate-Shafarevich group of $p$-supersingular abelian varieties of ${\rm GL}_2$-type with real multiplication over $\mathbb{Z}_p$-extensions of number fields, where $v$ is a prime lying above $p$. Building on the work of Iovita-Pollack in the case of elliptic curves, under precise ramification and splitting conditions on $p$, we construct explicit systems of local points using the theory of Lubin-Tate …

Patriots-Ravens flexed into Week 16 'Sunday Night Football,' bumping Bengals-Dolphins https://www.nytimes.com/athletic/6873995/2025/12/08/patriots-ravens-sunday-night-football-flexed/

Israeli Prime Minister Benjamin Netanyahu on Sunday asked the country’s president to grant him a pardon from corruption charges,
seeking to end a long-running trial that has bitterly divided the nation.
Netanyahu is the only sitting prime minister in Israeli history to stand trial,
after being charged with fraud, breach of trust and accepting bribes in three separate cases
accusing him of exchanging favors with wealthy political supporters.
He hasn’t been convi…

Israeli leader Netanyahu requests a pardon to end his ongoing corruption trial
Israeli Prime Minister Benjamin Netanyahu has asked Israel's president for a pardon during his ongoing corruption trial. His office on Sunday confirmed the request was submitted to the president's legal department. The president's office called it an “extraordinary request” with “significant implications.” Netanyahu faces charges of fraud, breach of trust and accepting bribes. But he hasn't been convicted. He denies the allegations and calls the trial a witch hunt. The request follows U…

Giants vs. Patriots: Three must-know storylines for Monday's Week 13 prime-time game https://www.nfl.com/news/giants-vs-patriots-three-must-know-storylines-monday-week-13-prime-time-game

Amazon launches a Video Recaps feature on Prime Video that uses AI to summarize a show's key plot points with snippets and music, available in beta for US users (Todd Spangler/Variety)
https://variety.com/2025/digital/news/amazon-prime-video-ai-video-…

Amazon's Prime Video Launches AI-Generated Video Recaps
Amazon's AI-generated Video Recaps on Prime Video provide 'comprehensive season recaps' to bring viewers up to speed on their favorite shows.

Microsoft and Anthropic appoint former UK prime minister Rishi Sunak as a senior adviser and pledge his role will not include lobbying with the UK government (Financial Times)
https://www.ft.com/content/dd9bd202-8520-4042-8811-396a2a0bccde

An admirer of former British Prime Minister Margaret Thatcher,
Sanae Takaichi is a protege of former Japanese Prime Minister Shinzo Abe's ultra-conservative vision
and a regular at the Yasukuni Shrine,
seen as a symbol of Japan's wartime militarism,
which could complicate Tokyo's relations with its Asian neighbors.
#Sanae

Amazon überarbeitet seinen Cloud-Gaming-Dienst Luna und setzt auf Partyspiele
Das Prime-Angebot von Amazon wird erweitert. Luna bekommt ein neues Design und mehr Partyspiele, etwa mit Snoop Dogg. Für gemeinsames Spielen kommt GameNight.

Christoph Schneider, Prime Video Germany's Country Director since 2022, is leaving Amazon after 13 years due to an internal restructure that eliminates his role (Jesse Whittock/Deadline)
https://deadline.com/2025/11/prime-video-germany-christoph-s…

Prime Video Germany’s Long-Serving Chief Christoph Schneider Stepping Down
Christoph Schneider, Prime Video's country chief in Germany, is leaving Amazon after 13 years.

A remark on weighted average multiplicities in prime factorisation
Viktor Mirjani\'c, Daattavya Aggarwal, Challenger Mishra
https://arxiv.org/abs/2510.06993 https://

A remark on weighted average multiplicities in prime factorisation
We study a generalisation of the quality of an ABC triple that we call the weighted average multiplicity (WAM), in which the logarithmic heights of prime factors are raised to a complex exponent s. The WAM is connected to the standard ABC conjecture at s=1. We show that for real part of s less than 1, WAM is unbounded over ABC triples both for integers and polynomials. For real part greater than 1, we characterise a boundary beyond which WAM is holomorphic and bounded. In this region, we show t…

Amazon plans to hold its 2025 Prime Big Deal Days from October 7 at 12:01am PT through October 8, exclusive to Prime subscribers (Brandon Russell/The Verge)
https://www.theverge.com/news/774151/amazon-october-prime-day-fall-dates-2025

Amazon’s next Prime Day sale is happening on October 7th
Amazon’s October Prime Day 2025 will kick off on Tuesday, October 7th through October 9th. Here’s everything you need to know about the two-day event.

Amazon steht vor einer gigantischen Klage! 💰 Die Verbraucherzentrale Sachsen geht mit einer Gewinnabschöpfungsklage in Höhe von 1,8 Milliarden Euro gegen den Streaming-Riesen vor.
Zum Artikel: https://heise.de/-11099444?wt_mc=sm.re

Amazon launches a Video Recaps feature on Prime Video that uses AI to summarize a show's key plot points with snippets and music, available in beta for US users (Todd Spangler/Variety)
https://variety.com/2025/digital/news/amazon-prime-video-ai-video-…

Amazon's Prime Video Launches AI-Generated Video Recaps
Amazon's AI-generated Video Recaps on Prime Video provide 'comprehensive season recaps' to bring viewers up to speed on their favorite shows.

Prime Geodesic Theorem for Arithmetic Compact Surfaces
Chenhao Tang, Han Wu, Jie Yang, Wenyan Yang
https://arxiv.org/abs/2510.05659 https://arxiv.org/pdf/2…

Prime Geodesic Theorem for Arithmetic Compact Surfaces
We generalize Koyama's $7/10$ bound of the error term in the prime geodesic theorems to the principal congruence subgroups for quaternion algebras. Our method avoids the spectral side of the Jacquet--Langlands correspondences, and relates the counting function directly to those for the principal congruence subgroups of Eichler orders of level less than one.

Unzulässige Preiserhöhung: Amazons Berufung abgewiesen
Die Preiserhöhung bei Amazon Prime vom Herbst 2022 bleibt ungültig.  Der Konzern hat auch beim OLG Düsseldorf verloren.
https://www.

After an online backlash, Amazon Prime Video removes AI-generated English and Spanish dubs that it had quietly rolled out in beta for several anime titles (James Whitbrook/Gizmodo)
https://gizmodo.com/amazon-anime-ai-dub-backlash-removal-2000694695

Amazon Quietly Rolls Back Its AI Anime Dubs After Massive Backlash
As quickly as they arrived, many of Prime Video's controversial generated dubs have been removed from the streamer.

Solutions of a polynomial equation modulo a prime power
Arnaud Bodin, Christian Drouin
https://arxiv.org/abs/2510.07168 https://arxiv.org/pdf/2510.07168

Solutions of a polynomial equation modulo a prime power
How do you find the integer solutions of a polynomial equation modulo an integer?