Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

Arynes are highly reactive organic intermediates featuring a triple bond within an aromatic ring. Their strong reactivity ...

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His ...

DeepMind’s AlphaEvolve helps solve a math puzzle with Terence Tao, showing how AI can now invent new ideas—and prove old ones ...

Dijkstra's algorithm has long been the quickest way of finding the shortest possible paths in a network, but researchers have ...

Introduction Parkinson’s disease (PD) is a chronic neurodegenerative condition that affects approximately 10 million people worldwide. As the second most common neurodegenerative disease, its ...