For years, the idea that reality might be a sophisticated computer program has drifted from late-night dorm debates into ...

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His proofs have been called “disgusting,” but they go beyond what any human can do ...

A remarkably clean gravitational-wave detection has confirmed long-standing predictions about black holes, including ...

A new study claims to show evidence of gamma-ray emissions that closely resemble those expected from two weakly interacting ...

A new study reveals that Srinivasa Ramanujan’s century-old formulas for calculating pi unexpectedly emerge within modern theories of critical phenomena, turbulence, and black holes. In school, many of ...

Quantum computing could break Bitcoin by 2030. Learn what it means for your BTC and how post-quantum cryptography may protect it.

In 2024, an AI entered the fray of the International Mathematical Olympiad (IMO). Google’s AlphaProof is part of the same Alpha group that also created AlphaFold and AlphaGo. It solved problems that ...

A National Academies of Sciences, Engineering, and Medicine-appointed ad hoc committee will plan and organize a workshop that will bring together academic, industry, and government stakeholders to ...

This course emphasizes mathematical definitions, logical inference, and proof techniques. Topics include propositional logic, first-order logic, inference rules and satisfiability, proof methods, sets ...

Abstract: This work proposes a new recurrent neural network (RNN) algorithm for solving discrete multilayer dynamic systems (DMDSs). First, by utilizing the direct-discretization technique, a ...

In the past two decades, computers have gradually toppled human champions in games of perfect information. It mastered checkers, then chess (Deep Blue), and finally, the profoundly complex game of Go ...