Quantized Columns

It’s simple enough for AI to seem to comprehend data, but devising a true test of a machine’s knowledge has proved difficult.

No matter how much we’d like to eradicate SARS-CoV-2, it may be better to settle for other forms of control.

The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples.

Today’s powerful but little-understood artificial intelligence breakthroughs echo past examples of unexpected scientific progress.

Solutions to the simplest polynomial equations — called “roots of unity” — have an elegant structure that mathematicians still use to study some of math’s greatest open questions.

The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.

When Steven Weinberg died last month, the world lost one of its most profound thinkers.

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.

Other diseases with long-term symptoms can help us understand how COVID can affect us long after the virus itself is gone.