For decades, mathematicians have struggled to understand matrices that reflect both order and randomness, like those that ...

The new science of “emergent misalignment” explores how PG-13 training data — insecure code, superstitious numbers or even ...

The effects of insufficient water are felt by every cell in the body, but it’s the brain that manifests our experience of ...

Strong new evidence suggests that primordial material from the planet’s center is somehow making its way out. Continent-size ...

A canonical problem in computer science is to find the shortest route to every point in a network. A new approach beats the ...

Fan Chung, who has an Erdős number of 1, discusses the importance of connection — both human and mathematical.

After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture.

Take a deep breath. A flow of air has rushed into your lungs, where the oxygen moves into your bloodstream, fueling metabolic fires in cells throughout your body. You, being an aerobic organism, use ...

In theory, quantum physics can bypass the hard mathematical problems at the root of modern encryption. A new proof shows how.