The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to everyone.
Abstract: The computation of electromagnetic scattering from electrically large deep cavities poses significant challenges to existing full-wave numerical methods. In addition to the well-known ...
Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...
Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics.
Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...
A recent announcement that an artificial intelligence model succeeded in solving a decades-old mathematical problem that had eluded generations of accomplished mathematicians was widely portrayed as ...
“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...
Just a week after an AI disproved an 80-year-old conjecture and astonished mathematicians, another conjecture that had stood for half a century has fallen, inspired by the same techniques, but this ...
This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. News about AI math problem raises realization that finding counterexamples can be extremely ...