Joseph Cooper

Dmitry Rybin says OpenAI's model produced a counterexample that disproves the long-open Dinitz–Garg–Goemans conjecture — using a four-prompt chat that mostly amounted to 'do a breakthrough' and 'now finish it.' The catch: the result hasn't been independently verified.

Days after Defense Secretary Pete Hegseth rolled out testosterone screening and treatment for troops, a federal judge overseeing a challenge to the transgender military ban ordered both sides to explain how offering that hormone therapy to some service members squares with prohibiting it for trans men.

Yemen's Iran-aligned Houthis say they struck the tankers Encelia and Layla with missiles and drones to enforce a naval blockade of Saudi Arabia. Riyadh confirmed one ship was hit, with its crew safe — and the target now is one of the last open routes for Gulf oil.

Péter Szijjártó helped land BYD's multibillion-forint push into Hungary — subsidies, permits and a new factory — while serving as foreign minister. Days after he resigned his seat to take an executive job at the company, the new government launched a probe into the whole arrangement.

A joint UK–US government evaluation says Moonshot AI's new Kimi K3 trails leading American frontier models on offensive-cyber benchmarks — though the report's own caveats, and the model's imminent open-weight release, complicate the headline.

Former Venezuelan president Nicolás Maduro and his wife, Cilia Flores, pleaded not guilty and will stand trial June 1, 2027. His lawyers plan to fight the case first on sovereign immunity — and to challenge the legality of the operation that brought him to the US.

The world's first Leica M-to-Canon RF autofocus adapter puts a motor inside the mount, letting decades-old manual lenses tap into Canon's Dual Pixel AF — eye detection, tracking and all. It's up for pre-order at $399.

Musk says his xAI platform Grok Imagine will generate a full-length Odyssey 'true to the art of Homer' before 2026 is out — a direct shot at Christopher Nolan's newly released epic and the casting fight Musk has been waging for months.

Nike is cutting off hundreds of online distributors in China and funneling buyers into its own branded storefronts — a high-stakes bet to rebuild the brand in a market where its sales are sliding and local rivals are surging.

The film chronicling Oasis's 2025 reunion tour will have its world premiere in Venice — and festival organizers say both Noel and Liam Gallagher have promised to attend. A theatrical and IMAX run follows in September, with streaming later in the year.

The five died in the Scioto River near Columbus after one swimmer began to struggle and the others tried to help. A passing pastor, who sensed the spot was dangerous, believes he captured the group in what may be 'the last picture' of them alive.

In what may be the first case arguing a general-purpose chatbot can be held liable for bad medical advice, Scott Winters alleges ChatGPT-4o repeatedly downplayed symptoms of a pulmonary embolism — even invoking his faith — before blood clots brought him 'to the brink of death.'

Baltimore cut the college star a day before rookies reported, clearing a roster spot to sign veteran center Ethan Pocic. Pavia, the 2025 Heisman runner-up, had been fighting for the No. 3 job in Lamar Jackson's quarterback room.

The first full trailer for Cregger's Raccoon City reboot dropped ahead of his Comic-Con panel, introducing Austin Abrams as a courier trapped in one nightmarish night. Then the director revealed a real-explosion sequence that came a single step from killing Abrams for real.

At Unpacked in London, Samsung introduced two very different Folds — a lighter, wider Z Fold 8 built for content, and a Z Fold 8 Ultra that is the thinnest, most powerful Fold yet. Pre-orders are open, with sales starting August 7.

The rapper plays a Greek bard in the opening seconds of Nolan's epic, a part he took with zero acting experience and, by his own account, plenty of nerves. Now he's turning the moment into a first-look film deal at Paramount under his Cactus Jack banner.

The new duties take effect just after midnight Friday, replacing a blanket tariff Congress let expire. The administration says they punish countries that fail to block forced-labor imports; critics call the rationale a legal workaround unlikely to survive court challenge.

In an open letter to Britain's brand-new prime minister, a group of wealthy Britons — from footballer Gary Lineker to musician Brian Eno — is pressing for a tax on large fortunes. The government is politely non-committal, and the opposition says they can simply write a cheque.

First-time unemployment applications fell by 22,000 last week, the biggest drop in three months, defying forecasts of a rise. But the record-low figure says as much about a shrinking pool of available workers as it does about a booming economy.

The horror director says he had the origin story for Amy Madigan's Aunt Gladys 'in his pocket' before Weapons even opened — and that the prequel will be very different from the film that made her a breakout villain.

There was no announcement — Apple simply changed the numbers on its website on a Friday. Apple Music's first increase in nearly four years is now live, and it isn't the only price going up across the company's lineup.

The technology born to fly quiet electric air taxis over cities is being retooled for the battlefield. Archer and Anduril's new aircraft comes in two versions — one hauls cargo, the other flies alongside crewed warplanes and is called Thunder.

Cracker Barrel is walking away from the fast-casual biscuit chain it bought years ago: 35 Maple Street locations and the brand name go to a rival, the remaining 16 close for good, and the company raised its profit outlook on the way out.

The country-pop crossover has climbed back to the top of Apple Music's all-genre chart, edging out Drake — nearly a year after its release and with a headline tour still in full swing.