The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

If pure math can teach ... evading a proof for more than a decade – until, in 2022, Zahl and Wang unexpectedly showed the opposite. A sticky Kakeya set in three dimensions, they proved, must ...

Their proof showed that every set in that particular class had a dimension of three ... It’s also a dimensional leap for this entire area of math that’s been somewhat stuck in 2D. “People understood ...

A new proof solves the “Kakeya conjecture” in three dimensions, opening up a new set of possibilities for mathematics, from computer science to cryptography ...

By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of mathematical unknowability.

A powerful mathematical technique is used to model melting ice and other phenomena. But it has long been imperiled by certain ...

Google researchers have developed an artificial intelligence (AI) math system that can out-smart ... trained on a larger and more diverse data set, alongside a faster symbolic engine primed ...

Example topics include logic and Boolean circuits; sets, functions, relations ... DETAILED COURSE TOPICS: All sections will deal with topics from Part I (Proofs and Mathematical Preliminaries), as ...