“I was curious to establish a baseline for when LLMs are effectively able to solve open math problems compared to where they ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...

Quantum devices that measure Earth's magnetic fields could help replace GPS—if researchers can figure out how to tell when such devices are working well, or even at all. A Pentagon contract suggests ...

Abstract: It is well-known that solutions to parametric linear or quadratic programs are continuous piecewise affine functions of the parameter. In this paper we prove the converse, i.e. that every ...

A solution to the greatest unresolved problem in pure mathematics – Riemann's hypothesis – could be coming closer, thanks to a remarkable international collaboration involving mathematicians from the ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Have you ever found yourself wrestling with Excel, wishing it could just do *that one thing* to make your work easier? Maybe you’ve spent hours manually replacing text, trying to filter data with ...

We review the methods and applications of automatic differentiation, a research and development activity, which has evolved in various computational fields since the mid 1950's. Starting from very ...