Scientists say they have solved in detail what may be the most famous lawn-care-related problem in all of physics. The so-called Feynman sprinkler problem is named after one of the best-known ...

Toyota has cooked up a new patent that hints at a smarter way to bolt EV batteries in place – one that could help future trucks and SUVs shrug off rough roads without breaking a sweat. If you’ve ever ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Richard Feynman got this one wrong — or at least couldn't get far enough to find out. As a Princeton graduate student in the early 1940s, he pressurized a glass carboy to run a sprinkler backward, ...

An Anthropic AI model, Claude Fable 5, helped disprove the 87-year-old Jacobian conjecture, a famous open problem in mathematics dating to 1939. The model produced a concrete counterexample that ...

Frontline employees shape the customer experience, spot operational friction first, and determine whether new tools improve work or simply create more of it. Their motivation, judgment, and skill are ...

A quantum problem once described as impossible for classical computers has now been solved using relatively modest hardware. Researchers used tensor networks to compress the overwhelming wave function ...

McLaren has developed one of the biggest advantages in Formula 1 by keeping its tires in the ideal operating window while rivals struggle with overheating. This video explores the engineering theories ...

Britain does not lack difficult problems. Nor do we lack good ideas. But too often we fail to build lasting public agreement around the biggest decisions we face. Social care, welfare reform, and the ...

A long-standing mathematical conundrum has been solved by ChatGPT in a few hours, with only a few simple prompts. The Dinitz-Garg-Goemans conjecture is a 30-year-old question in graph theory, but a ...

A mathematician has cracked an 87-year-old conundrum with the help of AI and announced the solution unceremoniously in a tweet. The finding is the most difficult mathematical problem yet solved by AI, ...