Math

The artificial-intelligence chatbot ChatGPT has shaken educators since its November release. New York City public schools have banned it from their networks and school devices, and…

One of the oldest and simplest problems in geometry has caught mathematicians off guard—and not for the first time.Since antiquity, artists and geometers have wondered how shapes can tile…

Flying premium from San Francisco to Los Angeles, a common trip for some Californians, could generate 101 kilograms of carbon emissions, or perhaps 142 or even 366 kilograms—depending on…

Jostling for the franchisee rights will be close to 17 bidders, who have submitted their technical bids—or documents for eligibility scrutiny—on Monday. Over 30 companies had…

Mathematicians wanted to better understand these numbers that so closely resemble the most fundamental objects in number theory, the primes. It turned out that in 1899—a decade before…

Recently, I watched a fellow particle physicist talk about a calculation he had pushed to a new height of precision. His tool? A 1980s-era computer program called FORM.Particle physicists…

For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to…

A mouse is running on a treadmill embedded in a virtual reality corridor. In its mind’s eye, it sees itself scurrying down a tunnel with a distinctive pattern of lights ahead. Through…

A similar scenario played out in the 1990s, when a Tennessee naturalist named Lynn Faust read the confident published assertion of a scientist named Jon Copeland that there were no…

McDuff and Schlenk had been trying to figure out when they could fit a symplectic ellipsoid—an elongated blob—inside a ball. This type of problem, known as an embedding problem, is pretty…