The original version of this story appeared in Quanta Magazine. Standing in the middle of a field, we can easily forget that we live on a round planet. We’re so small in comparison to the Earth that ...

There weren’t calculators or computers in medieval Europe. But there were math duels. Mathematicians would gather in public squares and pose tricky math problems to each other. Then they raced to ...

Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, mathematicians have wondered if the prime numbers are truly random, or if ...

Abstract: We analyze deep neural networks using the theory of Riemannian geometry and curvature. The objective is to gain insight into how Riemannian geometry can characterize and predict the trained ...

THE recent physical interpretation of intrinsic differential geometry of spaces has stimulated the study of this subject. Riemann proposed the generalisation, to spaces of any order, of Gauss's theory ...

A small clay tablet from the site of Kish in Iraq reveals a student calculated the area of a triangle incorrectly 4,000 years ago. When you purchase through links on our site, we may earn an affiliate ...

If you’ve opened the Notes app on your iPhone recently, only to find every entry is missing, you’ve come across a “scary bug” which seems to have been widespread. Apple has now commented on this ...

I didn’t find math particularly exciting when I was in high school. To be honest, I only studied it when I went to university because it initially seemed quite easy to me. But in my very first math ...

Health care systems have been putting therapists’ progress reports online, much to the surprise (and anger) of some patients. By Christina Caron Stunned. Ambushed. Traumatized. These were the words ...

When I received a new bicycle from my grandparents as a kid, my mother wouldn’t let me out of the house to take it for a spin before I sat down and wrote them a thank-you note. I remember grumbling ...