Aggregator

Three mathematicians have developed a breakthrough method for proving whether numbers can be written as fractions, solving a problem that has puzzled researchers for decades. Frank Calegari, Vesselin Dimitrov and Yunqing Tang proved the irrationality of an infinite collection of numbers related to the Riemann zeta function, building on Roger Apery's landmark 1978 proof about a single such number. The new approach, which relies on 19th-century mathematical techniques, has already helped settle a 50-year-old conjecture about modular forms and could lead to more advances in number theory.

Read more of this story at Slashdot.

Pasadena Humane - an LA-based animal shelter - said it has taken in over 300 animals due to evacuations, while its staff and volunteers are 'working nonstop' to help with their care.

Chancellor Rachel Reeves is en route to Beijing despite demands to cancel the trip and deal with mounting pressure on the UK's fiscal position.

It's been five years since TV star tragically took her own life aged 40, amid a looming court case after allegedly hitting boyfriend Lewis Burton with a lamp.

Such is the extent of Britain's current economic troubles, Chancellor Rachel Reeves ' plight has been compared to that of her 1970s predecessor Denis Healey.

Sources at ABC News have now alleged the network is 'embarrassed and horrified' by Muir's gaffe, with several insiders telling Page Six that the 'narcissistic' move is typical of the anchor.

The California Governor apologized and claimed to be trying to reach the president on the phone when he was accosted by the emotional woman.

Anthony Mitchell, 67, was found by the side of his son Justin, who was in his early 20s and suffered cerebral palsy, in Altadena, as his family said he 'was not going to leave his son behind, no matter what.'

The woman, a pedestrian, sadly died at the scene

India's homegrown digital payments ecosystem, anchored by two systems, is challenging Visa and Mastercard's dominance in the world's most populous nation. The backbone is UPI, a nine-year-old bank-to-bank payment network that processes over 13 billion monthly transactions through QR codes and phone numbers, accounting for 71% of all transactions and 36% of consumer spending, according to Bernstein. RuPay, India's domestic card network, has leveraged its exclusive right to process credit card transactions through UPI to double its volume to $7.43 billion in fiscal 2025's first seven months. It now represents 28% of credit card transactions, up from 10% last year. Small merchants are adopting the system as RuPay only charges fees on transactions above $23.3. India's central bank has also mandated banks let customers choose their card network, ending exclusive deals with global providers.

Read more of this story at Slashdot.

The WAG, 37, kept warm with a cosy white oversized Dry Robe coat layered over a black jumper and some thick black gym leggings.

A 35-year-old father-of-two from Melbourne, has been dealt a heartbreaking diagnosis of stage 4 oesophageal cancer - with doctors estimating he has just 14 months to live.

He sent his friend to work on his behalf in Essex

A resurfaced sketch has shown Richard Hammond's wife Mindy becoming increasingly frustrated at her husband after the couple announced their split on Thursday. 

The 35-year-old UK TV personality and singer is going from strength to strength, but you wouldn't know it from the wave of incorrect claims about her on the social media site.

The soldiers are deployed across a battlefield until they are blown up one after another, according to Lieutenant Colonel 'Leopard' of Ukraine's 33rd 'Big Cats' battalion.

About 70 per cent of people over the age of 70 have nocturia - the need to go to the toilet in the middle of the night. But when is it a sign of something more serious?

The RuPaul's Drag Race UK winner's death last week at the age of 32 has plunged the drag community into mourning.

In a social media video shared by Sir Keir, the two leaders were shown man-hugging, back-slapping and hand-shaking as they held talks at Chequers.

Marie Wright, who was employed at SFE Chetwode in Melton Mowbray, alleges she was fired for 'whistleblowing' about the 'microbiological safety of food' being served in the staff canteen.