A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This problem has implications ...

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 ...

Abstract: Deep learning methods have recently shown significant promise in compressing the geometric features of point clouds. However, challenges arise when consecutive point clouds contain holes, ...

"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, ...

Complex numbers also play a role in understanding all the possible geometric figures you can construct with a ruler and compass. As noted by mathematicians Jean-Robert Argand and Carl Friedrich Gauss, ...

"Build a unique DIY wall shelf with geometric designs easily. Follow me, April Wilkerson, for more DIY projects and hands-on building!" Donald Trump Gives DOGE Update as Elon Musk Says He'll Step ...