Abstract: LaSalle’s invariance principle is a commonly used extension of Lyapunov’s second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, ...

Abstract: The adverse impacts of commutation failure (CF) of a line-commutated converter (LCC)-based high-voltage direct current (HVdc) system on the connected ac system are becoming more serious for ...

Sparse methods are primarily valuable for systems in which the number of non-zero entries is substantially less than the overall size of the matrix. Such situations are common in physical systems, ...

Can neural networks learn to solve partial differential equations (PDEs)? We investigate this question for two (systems of) PDEs, namely, the Poisson equation and the steady Navier–Stokes equations.

Actuaries evaluate and manage financial risks, particularly in the financial services industry. Our specialist course is taught by professional actuaries and internationally renowned statisticians to ...

For centuries, astronomers have puzzled over the origins of one of the universe's oldest and densest stellar systems, known ...

"Our approach gives astronomers an idea of how many spots a star might have, where they are located, and how bright or dark ...

Marc Brackett, Ph.D., illuminates the power that lies in the space between stimulus and response in his latest book, 'Dealing with Feeling.' ...

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 coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...

70 + 30 ÷ 2 x 3. The simple math problem may have been a breeze in school, but as most people don't regularly solve equations, social media users were racking their brains to remember what to do. An X ...