A Practical Step-by-Step Guide, by Marco Fabbrichesi, offers an intermediate-level presentation of the Standard Model.

Lightweight, capable, and fun — this sub-$7000 KTM motorcycle makes adventure riding feel exciting again.

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

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

Google DeepMind's AlphaProof Nexus solved 9 open Erdős problems and proved 44 OEIS conjectures using AI-driven formal ...

P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

Forbes contributors publish independent expert analyses and insights. John Hall covers entrepreneurial topics that help companies grow. Many attributes go into strong leadership, such as having a ...

We spend a lot of time thinking about the difficult people in our lives—the friend who can't take feedback, the partner who always has to be right, the coworker who turns everything into a fight. But ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

A child walks past graffiti in New York City in 2014. New Police Commissioner Bill Bratton has made combating graffiti one of his top priorities, as part of the Broken Windows theory of policing. For ...

Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

Imagine Max, a well-trained border collie, manages to ignore a squirrel in the park when his owner tells him to sit. His owner says, "Max, stop chasing that squirrel and sit down," and Max obeys. Can ...