AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we can't verify them. How will we know if they're right?

Why do some melodies feel instantly right, balanced, memorable and satisfying, even if you have never heard them before? New research from the University of Waterloo suggests that more than creativity ...

Written by: Stephen Janis, Taya Graham, Amanda Scherker ...

Quantum mechanics replaced the clockwork certainty of classical physics with something far stranger: a framework in which particles do not follow single, predictable paths but instead exist as clouds ...

George Pólya’s random walk theorem absolved him of being a lurker and revealed how the laws of chance interact with physical ...

"Written by a well-known expert in fractional stochastic calculus, this book offers a comprehensive overview of Gaussian analysis, with particular emphasis on nonlinear Gaussian functionals. In ...

Bayes' theorem is a statistical formula used to calculate conditional probability. Learn how it works, how to calculate it ...

DeepMind's Aletheia is a huge advance in AI-driven mathematical reasoning. It is a research agent built on top of Gemini Deep ...

This is an Obsidian.md plugin to add better Live Preview support for math rendering inside callouts & blockquotes. Note: The feature of this plugin was originally a part of LaTeX-like Theorem & ...

Abstract: In real power systems, the network topology is subjected to uncertainty due to single-line outage contingencies, maintenance activities, and network reconfigurations. These changes in the ...

Classical results of Milnor, Wood, Mather, and Thurston produce flat connections in surprising places. The Milnor-Wood inequality is for circle bundles over surfaces, whereas the Mather-Thurston ...

A decades-old rule in mathematics has just been pushed beyond its long-standing limits, opening new ground for how scientists describe the physical world. At the University of Vaasa in Finland, ...