The original version of this story appeared in Quanta Magazine. A few centuries ago, the swirling polychromatic chaos of Jupiter’s atmosphere spawned the immense vortex that we call the Great Red Spot ...

July 25 - Alphabet's Google unveiled a pair of artificial intelligence systems on Thursday that demonstrated advances in solving complex mathematical problems, a key frontier of generative AI ...

At the 2024 International Mathematical Olympiad (IMO), one competitor did so well that it would have been awarded the Silver Prize, except for one thing: it was an AI system. This was the first time ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

Complex systems with many interacting nodes are inherently stochastic and best described by stochastic differential equations. Despite increasing observation data, inferring these equations from ...

OpenAI said it, too, had built a system that achieved similar results. By Cade Metz Reporting from San Francisco An artificial intelligence system built by Google DeepMind, the tech giant’s primary ...

In this study, we introduce a novel iterative method combined with the Elzaki transformation to address a system of partial differential equations involving the Caputo derivative. The Elzaki ...

You make decisions every day. Some are big, and some are small. But even the small decisions involve a great deal of complexity. Let me show you what I mean. Take something you probably do regularly: ...

Ever better experimental techniques allow us to perform experiments under tightly controlled conditions and can deliver gigantic amounts of data reflecting the complexity of biology. This has vastly ...