This repository contains two examples: InversePinnConstantCoef.mlx and InversePinnVariableCoef.mlx. Both examples are solvers for an inverse problem for the Poisson equation $−\nabla \cdot (c\nabla ...

Abstract: The coordinate transformation technique is a traditional method for solving the disturbance decoupling problem (DDP) of Boolean control networks (BCNs). But under this technique, the ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the ...

In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...

A seemingly simple set of rules kicks off a kind of mathematical magic trick, which has kept great minds busy since the 1930s ...

Physicist Richard Feynman turned a lunch dilemma into a math problem. Researchers finally cracked his notes and found people ...

By encoding mathematical statements into numbers, mathematician Kurt Gödel used ordinary arithmetic to check whether a ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

An experiment with 2,520 participants backs Richard Feynman’s answer to every diner’s dilemma: do I want to try something new? In a scene that could have easily featured in an episode of the US ...

OpenAI's AI model solved the famous unit distance problem, a question that had challenged mathematicians since 1946 ...