How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Some people find it useful to talk through their problems—but language isn't necessary for logical reasoning, cognitive ...

The laws of physics that concern heat and work could gain a firmer mathematical footing thanks to “gauge theory”, which ...

During World War II, statistics helped the Allies estimate the number of enemy tanks, which proved essential in the decisive ...

A mathematical problem that had remained unsolved for more than 10 years in the physics of complex systems has finally been ...

is a stipendiary lecturer in mathematics at Mansfield College, University of Oxford. She did her DPhil at the University of Oxford. It is a hot July day in London and I take the bus to Bloomsbury. I ...

Download PDF Join the Discussion View in the ACM Digital Library The mathematical reasoning performed by LLMs is fundamentally different from the rule-based symbolic methods in traditional formal ...

Mathematics is a powerful tool to understand the world around us. It can model the physics, chemistry and biology of a wide variety of systems. But it can also be used to make predictions that can ...

Artificial intelligence is no longer confined to crunching numbers—it is beginning to propose original theorems, sketch proofs and reveal new and unexpected patterns in the abstract world of ...

Abstract: In this correspondence paper, we provide a new look at the boundedness problems of error covariance of Kalman filtering. First, by utilizing the ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? A 125-page proof posted to arXiv may represent a huge breakthrough in geometric ...

Mathematicians from New York University and the University of British Columbia have resolved a decades-old geometric problem, the Kakeya conjecture in 3D, which studies the shape left behind by a ...