The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge.
Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense.
An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics.
To efficiently analyze a firehose of data, scientists first have to break big numbers into bits.
A new version of AlphaGo needed no human instruction to figure out how to clobber the best Go player in the world — itself.
Voevodsky’s friends remember him as constitutionally unable to compromise on the truth — a quality that led him to produce some of the most important mathematics of the 20th century.
Two mathematicians have proved that two different infinities are equal in size, settling a long-standing question. Their proof rests on a surprising link between the sizes of infinities and the complexity of mathematical theories.