The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch Besicovitch. Besicovitch introduced the idea that a Kakeya set moved into a ...

A geometry problem over a century old has just found its definitive answer. Mathematicians have confirmed that the solution ...

By solving part of the Langlands program, a mathematical proof that was long thought to be unachievable, Dennis Gaitsgory ...

Monash University researchers have extended Descartes’ Circle Theorem by finding a general equation for any number of tangent ...

Professors from NYU and the University of British Columbia have resolved the Kakeya set conjecture in three dimensions.

In the process, however, the number of tesserae remains mostly consistent ... "Nature has found a truly elegant solution to this geometric challenge," Professor Dean says. The team discovered ...

However, previous works still face limitations in accuracy and robustness in real-world scenarios, primarily due to the limited descriptive power of feature information (semantic or geometric) and ...

Indiana’s senate didn’t vote down the bill. The state senators did, however, agree to postpone it indefinitely. Had it not been for a mathematician in the right place at the right time, they might ...

"This result is not only a major breakthrough in geometric measure theory, but it also opens up a series of exciting developments in harmonic analysis, number theory, and applications in computer ...

The existing geometric consistency regularization (GCR) technique aims to build meaningful latent feature structures in multiple modalities and has been validated for non-conversational data, ...

Mathematicians once turned up their noses at imaginary numbers. But complex analysis actually simplifies math and physics.