They returned to the simpler events that they already understood, whose amplitudes came from the volumes of shapes. The shapes could be defined by polynomials — equations from high school math that ...
Chatbots like ChatGPT get stuff wrong. But researchers are building new A.I. systems that can verify their own math — and maybe more. By Cade Metz Reporting from San Francisco On a recent ...
Mathematicians have long wondered how “shapes of constant width” behave in higher dimensions. A surprisingly simple construction has given them an answer. In 1986, after the space shuttle Challenger ...