This post originally appered in Business Insider. Mathematics is all around us, and it has shaped our understanding of the world in countless ways. 1) The Pythagorean theorem: This theorem is ...

Proposed 15 years ago, the bounded L2 curvature conjecture has finally been proved by a group of three researchers at the Laboratoire Jacques-Louis Lions (CNRS / UPMC / Université Paris Diderot) and ...

Many dynamic processes can be described mathematically with the aid of stochastic partial differential equations. Scientists have found a new method which helps to solve a certain class of such ...

The mathematical physics underpinning electromagnetic fields and wave equations provides a rigorous framework for understanding the behaviour of electric and magnetic phenomena in both classical and ...

As artificial intelligence (AI) takes on increasingly critical roles—from managing power grids to piloting autonomous vehicles—making sure these systems are safe has never been more important. But how ...

James is a published author with multiple pop-history and science books to his name. He specializes in history, space, strange science, and anything out of the ordinary.View full profile James is a ...

Many people remember struggling with maths at school, but few of us would expect that professional scientists suffer from a similar problem in their daily work. A new study shows that scientists tend ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

Martin Hairer’s masterwork is so fantastic, so fully baked and so far out of left field, one fellow mathematician declared, that the manuscript must have been downloaded into his brain by a more ...