In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...

Every organism you have ever seen, every ecosystem you have ever walked through, is the ongoing output of an algorithm that ...

AI math proof verification reached a new frontier as DeepMind’s AlphaProof Nexus solved nine open Erdős research problems with Lean-verified proofs, some unsolved for 56 years. The May 2026 Science Ne ...

Yet an AI detector that is mostly reliable might in some ways be more dangerous than a broken one. While Pangram is accumulating the power to end reputations and careers, the tool does make mistakes, ...

Inner Spectrum slows things down considerably, gathering abstract and semi-abstract works from five artists interested less in explanation than emotional residue. Across layered textures, shifting ...

A new quantum-inspired algorithm has cracked a problem so massive that conventional supercomputers struggle to even approach it. Researchers used the method to simulate extraordinarily complex quantum ...

Abstract: Escape routing is a critical problem in printed circuit board (PCB) routing, and its quality dramatically affects the cost of the PCB design. Unlike the traditional escape routing that works ...

Among high school students and adults, girls and women are much more likely to use traditional, step-by-step algorithms to solve basic math problems – such as lining up numbers to add, starting with ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...