mathematics

Black holes exist in our universe. That’s widely accepted today. Physicists have detected the X-rays emitted when black holes feed, analyzed the gravitational waves from black hole…

In their paper, posted online in late November 2022, a key part of the proof involves showing that, for the most part, it doesn’t make sense to talk about whether a single die is strong or…

Arizona Daily Star As the state’s high school basketball playoffs wind down, two Tucson teams remain. Both Catalina Foothills and Pueblo have reached…

We do our best to brush off the annoying swarm of asks that shadow every restaurant meal, plumber visit, plane ride, pleading for points, stars, likes, thumbs-up (or middle fingers), if only…

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…

Credit: Wolfgang Maria Weber / TUM Researchers at the Munich Institute of Robotics and…

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…