Meromorphic function theory occupies a central position in the analysis of complex differential equations, uniting classical value‐distribution methods with modern studies of integrability and dynamic ...
Integrable systems and differential equations underpin a vast area of contemporary mathematical physics, where the synthesis of analytical techniques and geometric insight yields exact solutions to ...
The team has improved the capabilities of physics-informed neural networks (PINNs), a type of artificial intelligence that incorporates physical laws into the learning process. Researchers from the ...
Pasqal Holding SAS (“Pasqal”) today announced new research showing a more advanced approach to quantum computing that can deliver significantly better results on practical problems. For the first time ...
Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...