The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic theory from the microscopic one; and then stitch them together in a single ...

That's the finding of eye-opening preprint research into simulated reasoning (SR) models, initially listed in March and ...

University of Chicago Prof. Frank Calegari has been elected to the American Academy of Arts and Sciences, one of the nation’s oldest and most prestigious honorary societies. The first members elected ...

Mehtaab Sawhney, who joined Columbia last year, enjoys the thorny work of proving a seemingly straightforward statement of ...

An exact expression for a key process needed in many quantum technologies has been derived by a RIKEN mathematical physicist ...

When an electric current passes through some materials, it generates a voltage perpendicular to the direction in which the ...

It all starts with something called the Kakeya conjecture. A “conjecture” is a math guess—an idea that seems true, but nobody has proven it yet. The Kakeya problem is about figuring out the smallest ...

Two mathematicians now say they’ve made progress on a very old unsolved math problem. The problem involves a subfield called geometric measure theory, in which sets of objects are generalized in an ...

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