math

[ad_1] 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 Carmichael’s…

[ad_1] 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…

[ad_1] 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…

[ad_1] 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…

[ad_1] 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,…

[ad_1] In 1963, the mathematician Roy Kerr found a solution to Einstein’s equations that precisely described the spacetime outside what we now call a rotating black hole. (The term wouldn’t…

[ad_1] Once found, these inscrutable rules have helped particle physicists calculate scattering amplitudes at much higher levels of precision than they could achieve with the traditional approach. The restructuring also…

[ad_1] The goal here is to trace out triangles on top of these lines such that the triangles satisfy two requirements: First, no two triangles share an edge. (Systems that…

[ad_1] In late February, just weeks after Maryna Viazovska learned she had won a Fields Medal—the highest honor for a mathematician—Russian tanks and war planes began their assault on Ukraine,…