Higgs Boson breakthrough was UK triumph, but British physics faces'catastrophic' cuts When the Nobel Prize in Physics was announced in Stockholm in October 2013, the world was watching. Among the names read out was Prof Peter Higgs, the British theorist who, nearly half a century earlier, had predicted the existence of a particle believed to hold the cosmos together - the Higgs boson. The announcement, broadcast live from Sweden, was what many scientists had hoped for since a year earlier, when experiments at CERN had finally confirmed Higgs's theory by discovering the Higgs boson - hailed as one of the biggest discoveries in a generation. At the time Higgs, who has since passed away, said in a statement: I hope this recognition of fundamental science will help raise awareness of the value of blue-sky research. Blue-sky research asks questions to understand the universe, rather than design new products.

Ugly new Nicole Kidman and Keith Urban divorce fight ERUPTS: Her friends share humiliating details of'midlife crisis'... and reveal brutal REAL reason daughter Sunday Rose'snubbed' him Supreme Court's top judge issues chilling warning as Trump targets his own appointees SARAH VINE: How telling that Meghan's joined the ranks of those peddling wellness and fake lifestyles to the gullible I moved my family OFF-GRID after a horrific series of events... now our tiny home saves us thousands each MONTH. We are richer and happier than ever. Here's how you can do it too Furious US troops erupt at CNN's $20m steak and lobster claims as grim photos expose reality Mother of cheating nurse shares horrific way daughter was killed after SUV sex... and shares heartbreaking details of her marriage to doctor Hollywood's top insider makes VERY catty observation about Kaitlan Collins CIA accused of'poisoning the sky' with toxins as files expose secret weather control agenda Mysterious'three-sided pyramid' similar to those in Egypt spotted on Mars in NASA footage Trump says he's'not afraid' of Vietnam-style ground combat in Iran I've always been embarrassed by my spotty skin. I'd tried every lotion and potion, until I found a science-backed plan that restored my skin's health and my confidence Alix Earle stuns in white bikini in first glimpse at 2026 Sports Illustrated Swimsuit edition... after turning heads with Tom Brady and Joe Burrow'We no longer need NATO': Trump sends shockwaves through Europe with ferocious attack on allies Everything JFK Jr told friends about his love affair with'sexual dynamo' Madonna... her unprintable pillow talk... and his perverse incest request that she couldn't go through with What your WALK says about you: Study reveals how your swagger can reveal how you're really feeling READ MORE: 'Tough guy' walk in western movies makes you look powerful A new study has revealed exactly what your walk says about you - whether it's a slow swagger or a peppy stride. Scientists from the Advanced Telecommunications Research Institute International in Japan carried out several experiments as part of their study.

Ad for AI editing app which said it could'remove anything' banned An advert for a video and image editing tool that implied viewers could digitally remove a woman's clothing has been banned by the UK advertising regulator. The YouTube ad for PixVideo - AI Video Maker, seen in January, showed a before and after image of a young women, with red scribble overlaid on her midriff in the former, and parts of her bare skin exposed in the latter. Text across the bottom of the picture stated: Erase anything followed by a heart-eyes emoji. Eight people complained to the Advertising Standards Authority (ASA) that the ad sexualised and objectified women, and was irresponsible, offensive and harmful. It is not clear whether the image in the ad is of a real person or is itself AI-generated, with the ASA telling the BBC making such an assessment had not been part of its investigation.

Modern large language models (LLMs) excel at tasks that require storing and retrieving knowledge, such as factual recall and question answering. Transformers are central to this capability because they can encode information during training and retrieve it at inference. Existing theoretical analyses typically study transformers under idealized assumptions such as infinite data or orthogonal embeddings. In realistic settings, however, models are trained on finite datasets with non-orthogonal (random) embeddings. We address this gap by analyzing a single-layer transformer with random embeddings trained with (empirical) gradient descent on a simple token-retrieval task, where the model must identify an informative token within a length-$L$ sequence and learn a one-to-one mapping from tokens to labels. Our analysis tracks the ``early phase'' of gradient descent and yields explicit formulas for the model's storage capacity -- revealing a multiplicative dependence between sample size $N$, embedding dimension $d$, and sequence length $L$. We validate these scalings numerically and further complement them with a lower bound for the underlying statistical problem, demonstrating that this multiplicative scaling is intrinsic under non-orthogonal embeddings.

Support journalism that doesn't flinch . Support journalism that doesn't flinch . Elon Musk leaves a meeting with House Republicans in the basement of the US Capitol building on March 5, 2025 in Washington, DC. Get your news from a source that's not owned and controlled by oligarchs. Tennessee teenagers are suing Elon Musk's company xAI over allegations that its artificial intelligence tool Grok undressed photos of them as minors--the latest challenge against the wealthiest living person's chatbot .

After the rise (and fall) of reservation scalping, DoorDash and a host of apps are fighting to book you a seat at the country's most exclusive restaurants. At The Eighty-Six in Manhattan, exclusivity is the point. The luxe, 11-table steakhouse is the sort of place that lavishes caviar and aged mimolette cheese on its potatoes, and crows that your market-price duck was raised by one Dr. Taylor Swift has reportedly dined there in a Miu Miu skirt. Reservations are a scarce commodity that the restaurant, and New York law forbids you from selling one. "Access is the main asset," wrote food writer Helen Rosner in a recent New Yorker review of The Eighty-Six. "The product is the door, and what a door!

Trump says he's'not afraid' of Vietnam-style ground combat in Iran Furious US troops erupt at CNN's $20m steak and lobster claims as grim photos expose reality Hollywood's top insider makes VERY catty observation about Kaitlan Collins Pam Bondi is formally subpoenaed by Congress as Trump's Epstein nightmare grows What the Jane Plan did to my body: The unfashionable retro diet's fans say it's life-changing, easy, better than fat jabs - and shifts weight fast. My husband tried a'cure' for his ALS... days later he went blind and couldn't move. The children screamed on video call as he died. Outrage after Pete Hegseth aide ousted for'leaks' lands new top secret intelligence job Everything JFK Jr told friends about his love affair with'sexual dynamo' Madonna... her unprintable pillow talk... and his perverse incest request that she couldn't go through with SARAH VINE: How telling that Meghan's joined the ranks of those peddling wellness and fake lifestyles to the gullible My chilling conversations with the Unabomber and America's worst serial killers when I ran a Supermax prison, revealed in The Crime Desk newsletter Oscars afterparty snitches reveal cringing details of how stars stopped talking to him... a brutal message from Kylie's gloating ex... and her'humiliating' admission to friends Joe Burrow cements his place as the NFL's most eligible bachelor as he is spotted cozying up to Tate McRae and Alix Earle at glitzy Oscars afterparty Dark secret past of husband killer Kouri Richins' Iraq war veteran lover revealed... and their toe-curling sex texts that helped convict her Mystery as Communion bread and wine'miraculously' appear to turn into human tissue and blood READ MORE: Scientists stunned as 500-year-old'miracle' image of Virgin Mary reveals impossible microscopic reflection Catholics believe that during Communion, bread and wine become the body and blood of Jesus Christ, though they continue to appear unchanged to the human eye. But there have been a handful of rare and debated cases in which the sacred elements appeared to take on a far more literal, physical form.

How the US left Ukraine exposed to Russia's winter war Will Europe use frozen Russian assets to fund war? How can Ukraine rebuild China ties? Starmer, Zelenskyy urge'focus' on Ukraine as Iran war diverts attention Ukrainian President Volodymyr Zelenskyy has met British Prime Minister Keir Starmer in London to sign a new defence pact as the unfolding US-Israeli war on Iran threatened to divert international attention away from Russia's attacks on Ukraine. Starmer welcomed Zelenskyy at his official Downing Street residence on Tuesday, reassuring the Ukrainian leader that "the focus must remain on Ukraine", days after the US partially rolled back sanctions against Moscow to cool oil prices sent soaring by its attacks on Iran. "There is obviously a conflict in Iran going on, in the Middle East, but we can't lose focus on what's going on in Ukraine and the need for our support there," said Starmer, who was meeting Zelenskyy to sign a defence partnership aimed at boosting "global defensive capability against the proliferation of low-cost, high-tech military hardware".

The BBC has obtained footage and interviews from the Iranian capital Tehran which evoke a city of strained nerves, of constant waiting for the next air strike and relentless fear of the state security apparatus. The identities of the people in this report have been protected. While independent journalists still try to gather testimony that offers a credible alternative view, they run the risk of arrest, torture and possibly worse. Displaced Palestinians were told to secure their tents to prevent them being blown away as a storm swept through the enclave. Video filmed by a witness and verified by the BBC shows a drone crashing close to the airport.

Nvidia faces gamer backlash over'breakthrough' AI graphics feature A new feature from chip-maker Nvidia that promises cinematic-quality graphics using AI has prompted a backlash online, despite the company claiming it would reinvent what is possible in video games. Nvidia said the DLSS 5 tool, which will be rolled out this autumn, would allow games to have photoreal computer graphics previously only achieved in Hollywood visual effects. In images shared with the media, the tech was shown radically changing the appearance of characters and environments in games such as Resident Evil Requiem and Hogwarts Legacy. But some industry professionals said its use of AI went too far, making graphics feel airbrushed and hollow. Clearly this is a massive glow-up for environments, said video game critic Alex Donaldson on Bluesky.