The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic theory from the microscopic one; and then stitch them together in a single ...

Leveraged ETFs offer flexibility and opportunity, but there is a smart way to use them that begins with education.

With Julius, you can solve complex math equations, including algebra, calculus, and trigonometry, by simply scanning the problem. It provides detailed, step-by-step explanations to ensure users fully ...

Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, ...

His work involves the use of algebra to investigate geometry and symmetry, and has focused on using those ideas to find solutions for differential equations ... no clue how to solve it.” ...

In this paper, we consider model-based and data-driven nonconvex regularization objectives to solve linear inverse problems. We consider the denoising problem and propose a constructive approach to ...

Abstract: We consider audio decoding as an inverse problem and solve it through diffusion posterior sampling. Explicit conditioning functions are developed for input signal measurements provided by an ...

Receive a weekly dose of discovery in your inbox! We'll also keep you up to date with New Scientist events and special offers.

There’s actually been a mathematical model for the behavior of mixed paints since 1931 – the Kubelka-Munk (K-M) equations ... handle all the complex K-M math ahead of time.

An implementation of Physics-Informed Neural Networks (PINNs) to solve various forward and inverse problems for the 1 dimensional wave equation.

Led by ADB’s Special Project Facilitator (SPF), the problem-solving function assists people who are directly, materially, and adversely affected by ADB-assisted projects to find solutions to their ...