OpenAI's GPT-5.2 has derived a new formula for gluon interactions, overturning assumptions of zero amplitude and advancing theoretical physics.

tree-math makes it easy to implement numerical algorithms that work on JAX pytrees, such as iterative methods for optimization and equation solving. It does so by providing a wrapper class ...

Humans started counting tens of thousands of years ago, but when did they begin figuring out advanced arithmetic, algebra and even calculus? When you purchase through links on our site, we may earn an ...

The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, and statistics. These provide the foundation for developing the needed ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

David Spiegelhalter is emeritus professor of statistics at the University of Cambridge, UK. He is the author of The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck (Penguin, 2024) ...

There are 36 cards labeled with the numbers 1 through 36 and then placed face down on a table. If four cards are revealed one after the other, what is the probability that each card’s number is larger ...

The mathematician Daniel Litt has driven social media users to distraction with a series of simple-seeming but counterintuitive probability puzzles. In late January, Daniel Litt posed an innocent ...