A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

Try as they might, scientists can’t truly rid a space or an object of its energy. But what “zero-point energy” really means ...

Naomi Saphra thinks that most research into language models focuses too much on the finished product. She’s mining the history of their training for insights into why these systems work the way they ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better.

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry. “Anomalous” heat flow, which at first ...

Joseph Howlett is a math writer for Quanta Magazine. His articles have been published Scientific American, The San Francisco Chronicle, and Gizmodo, among other places. He has a Ph.D.

Try as they might, scientists can’t truly rid a space or an object of its energy. But what “zero-point energy” really means is up for interpretation. ‘It’s a Mess’: A Brain-Bending Trip to Quantum ...

For three decades, researchers hunted in vain for new elementary particles that would have explained why nature looks the way it does. As physicists confront that failure, they’re reexamining a ...

It’s simple enough for AI to seem to comprehend data, but devising a true test of a machine’s knowledge has proved difficult. But has GPT-3 — trained on text from thousands of websites, books and ...

Two blind spots torture physicists: the birth of the universe and the center of a black hole. The former may feel like a moment in time and the latter a point in space, but in both cases the normally ...

Every day, dozens of like-minded mathematicians gather on an online forum called Zulip to build what they believe is the future of their field. They’re all devotees of a software program called Lean.