A new AI model learns to "think" longer on hard problems, achieving more robust reasoning and better generalization to novel, unseen tasks.

Quantum mechanics looks at how things work at the atomic and subatomic levels, where particles behave in ways that seem ...

The Langlands programme has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up ...

Discover how smart contracts execute trustless agreements on blockchains like Ethereum, driving DeFi, NFTs, DAOs, and more in this comprehensive 3,000-word explainer.

Specifying utility functions is a key step towards applying the discrete choice framework for understanding the behaviour processes that govern user choices. However, identifying the utility function ...

In this article, simplified and easy-to-work-with equations for the Lambert W-function are derived. This function is widely used to solve equations related to photovoltaic systems. More specifically, ...

Quantum physics is a branch of science that studies the tiniest things in the universe, like atoms and the even smaller parts ...

A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable ...