America's serial killer rankings revealed as map exposes a murderous legacy in all 50 states
America has produced more documented serial killers than anywhere else on Earth, but some states carry a far more murderous legacy than others.
Godzilla vs. Kong child star Kaylee Hottle is laid to rest in Texas after tragic death in car crash at 18
Kaylee Hottle, the child star who made a splash in the Godzilla vs. Kong monster films, was laid to rest on Monday following her tragic death last month in a car crash.
All the symbolism in Ariana Grande's Petal: Singer pays homage to women driven to madness by impossible standards in dark music video - as she steps back from the spotlight after 'endless scrutiny' over her appearance
The video follows an aspiring performer, who undergoes several personality and image overhauls in response to negative feedback from casting bosses.
Cloudflare has mostly ditched third party security tools, suggests not trying that at home
Automates bug bounty triage with Sonnet for $58 a month, CSO says Mythos would cost $200k
Why Shouldn’t Amazon Spinoff AWS And Annapurna Labs?
Essex business facing 15-fold rise in rates blasts 'error' that could close it
Tony Lilley has seen his business rate bill go from £2,600 to £39,000
Heartbreaking pictures show the Wick scorched black by two fires in three days
Black, charred swathes of grass sweep over the Middlewick Ranges in Colchester after two fires in three days.
Heartbreaking pictures show the Wick scorched black by two fires in three days
Black, charred swathes of grass sweep over the Middlewick Ranges in Colchester after two fires in three days.
Wife 'kills husband then herself' after 40th wedding anniversary as couple's heartbreaking family past emerges... before smartwatch calls 911
The deaths of Tracey Parker Willetts and Stephen Larnell Willetts are now being investigated as a murder-suicide as the family's bleak history was revealed.
OpenAI's Astra Solved Decades-Old Math Problems For $2,000
An anonymous reader quotes a report from Forbes: The cost of producing new results on ten longstanding mathematical problems just fell to $2,000, according to OpenAI, which says its Astra model generated machine-checkable proofs for questions that had resisted human progress for decades. OpenAI published the work on August 1 and used it to give its next major model family a name: Astra. The results run across group theory, high-dimensional geometry, coding theory, quantum complexity, lattice cryptography and extremal combinatorics. They arrived as a 249-page manuscript collection and, alongside it, something the field has not seen attached to an AI claim before at this scale: a machine-checkable certificate for every single result.
The problems were not textbook exercises dressed up as discoveries. Each had been open for at least ten years, most of them far longer, and several sit at the center of their subfields:
- A construction establishing the existence of non-sofic groups, a question that has occupied group theorists for years.
- A disproof of Connes's rigidity conjecture, a long-standing problem in the theory of von Neumann algebras.
- An improvement to the general upper bound on sphere-packing density in high dimensions, a bound that had stood since 1978.
- Three problems come from the catalogue of open questions left behind by Paul Erdos. The announcement follows another result from May, when OpenAI used a similar reasoning model to produce an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdos in 1946.
Read more of this story at Slashdot.
Science has proven a daily multivitamin can slow biological ageing: Our supplement expert reveals how to find the product that works best for you, the £79 'super powder' not worth your money and the ideal 16p-a-day pill for the over-50s
Research shows that multivitamins may not help you live longer, but there's growing evidence they do improve our 'healthspan' - that is the years we get in good health.
'Black widow' fraudster who scammed vulnerable pensioner then spent 16-months on run in Tenerife jailed
A conwoman dubbed the 'Black Widow' for spinning a web of lies which allowed her to swindle nearly £300,000 from a pensioner is in jail after 16 months on the run in Tenerife.
TOWIE star moved to Germany after armed break-in left her scared to stay in UK
She said the masked men "hacked" through a wall before her jewellery was stolen
Bradley Cooper and Gigi Hadid spark rumors they secretly MARRIED as they wear rings on wedding fingers in Paris
The couple were seen enjoying a romantic stroll together in the glamorous neighborhood of Saint-Germain-des-Prés on the Left Bank.
Naga Munchetty's 'special treatment' risks angering colleagues as she is 'granted permission to work from London' on new BBC 5 Live show
Naga Munchetty has reportedly been given 'special treatment' at her new BBC 5 Live role by being able to work from London on the Salford-based programme.
Muay Thai fighter, 19, steps in to protect two women during road rage showdown on busy highway
A professional fighter has been hailed as a hero after stepping in to help two young women during a road rage confrontation on Queensland's Sunshine Coast.
China claims global chip leadership thanks to new legal definition of 'integrated circuits'
Beijing's new rules also protect against copying local chip designs
Teen girl escapes car after being abducted near Tesco in Harlow
Police are calling for witnesses of the terrifying incident to come forward
'We'll become prisoners in our own homes': Residents hit out at plans to triple size of immigration detention centre on their doorsteps - as Home Office plans to move 600 illegal migrants inside
Haslar Immigration Detention Centre in Gosport, Hampshire closed a decade ago but is set to be enlarged to house 600 men over three storeys.
Meet miracle baby Theo - the first in the UK to get a pioneering surgery while still INSIDE the womb
Maisie Savage was operated on by a team of surgeons in Texas after her son was diagnosed with complex gastroschisis - a condition where the belly button does not develop properly.