Integrable systems and differential equations underpin a vast area of contemporary mathematical physics, where the synthesis of analytical techniques and geometric insight yields exact solutions to ...

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...

This is a preview. Log in through your library . Abstract It was conjectured by Janet that an analytic solution to a system of $n$ "independent" analytic differential ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...