In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

The math of even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major ...

TWA is one such semiclassical approach that dates back to the 1970s, but is limited to isolated, idealized quantum systems ...

Those accusing Mikel Arteta of cautiousness may have seen some irony in him going on the defensive about his approach this week. Where they saw a team playing with the handbrake on against Manchester ...

Climate change is the biggest challenge facing the planet. It will need every solution possible, including technology like artificial intelligence (AI). Seeing a chance to help the cause, some of the ...

Oct. 7, 2025 — An international team has confirmed that large quantum systems really do obey quantum mechanics. Using Bell’s test across 73 qubits, they proved the presence of genuine quantum ...

An inherent principle of publication is that others should be able to replicate and build upon the authors' published claims. A condition of publication in a Nature Portfolio journal is that authors ...

The Backward Euler and Crank–Nicolson methods are solved using a tridiagonal solver implementing the Thomas algorithm. The first and last rows correspond to the boundary conditions, and the interior ...

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...