More than 100 years ago Hungarian-born mathematician George Pólya found himself trapped in a loop of social awkwardness. A professor at the Swiss Federal Institute of Technology Zurich, he enjoyed ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

As artificial intelligence reshapes software development, a small startup is betting that the industry's next big bottleneck won't be writing code — it will be trusting it. "We're already there," said ...

Abstract: In this paper, we present a novel convolution theorem which encompasses the well known convolution theorem in (graph) signal processing as well as the one related to time-varying filters.

Mathematics is often seen as perfect—consistent, complete, and immune to contradiction. But in the early 20th century, a breakthrough proved that no mathematical system can ever explain everything ...

Large language models (LLMs) have astounded the world with their capabilities, yet they remain plagued by unpredictability and hallucinations – confidently outputting incorrect information. In ...

Researchers celebrate 10th anniversary of gravitational wave discovery, announce verification of a Hawking theorem. Two black holes spiral together and violently merge in this simulation of an event ...

Stephen Hawking’s 50-year-old theorem on how black holes merge together has been successfully tested thanks to huge advances in gravitational wave astronomy, which helped astronomers catch the waves ...

This deceptively simple math problem has stumped mathematicians for almost 300 years! LaGuardia crash kills pilots, injures dozens Iranian official issues stark warning targeting US financial assets I ...

In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last Theorem, a central problem in number theory that had remained open ...