Complex systems fascinate because of the way dynamic microscopic interactions give rise to striking, often unexpected macroscopic structures: convection cells in fluids, patterns in ecosystems, ...

Suzail Ahmad is a writer from Kashmir. He has been a manga and gaming enthusiast for more than a decade. As an expert, he aims to provide an in-depth analysis of titles from both mediums. When he is ...

We apply the well known Rayleigh–Ritz method (RRM) to the projection of a Hamiltonian operator chosen recently for the extension of the Rayleigh–Ritz variational principle to ensemble states. By means ...

Abstract: This article introduces a novel variational formula for modeling waveguides with uniformly curved longitudinal axes. Using the Rayleigh–Ritz method, we ...

Abstract: This article introduces a novel variational formula for modeling waveguides with uniformly curved longitudinal axes. Using the Rayleigh-Ritz method, we analyze the electromagnetic fields in ...

VANCOUVER, British Columbia--(BUSINESS WIRE)--Variational AI, developer of the Enki™ generative artificial intelligence (AI) platform for drug discovery, today announced a project with Merck Research ...

This paper considers the sparse generalized eigenvalue problem (SGEP), which aims to find the leading eigenvector with at most $k$ nonzero entries. SGEP naturally ...

The paper shows that the variational principle serves as an element of the mathematical structure of a quantum theory. The experimentally confirmed properties of the corpuscular-wave duality of a ...

ABSTRACT: The principle of least action, which has so successfully been applied to diverse fields of physics looks back at three centuries of philosophical and mathematical discussions and ...