Proving that one quantum measurement is more powerful than another has long been difficult. Physicists from Heinrich Heine ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

How do bees make group decisions without a leader? Math experts have determined that the best strategy is for a few to assume ...

I'm an artist who also curates exhibitions. Most of my friends are other artists, who often want to be included in the shows I put together. Increasingly, I can't tell who my friends really are ...

Artificial intelligence is expensive to use, many companies discovered. That has led to a new era of saving costs. Credit...Andrea Chronopoulos Supported by By Eli Tan Reporting from San Francisco ...