Mathematics has always demanded patience. From solving linear equations in algebra to navigating derivatives and integrals in ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Artificial intelligence, as it stands today, isn’t cheap. The leaders in the field are spending tens of billions of dollars on chips, data centers and more, running up steep losses so far. That has ...