ABSTRACT: High degree algebraic equations are an unsolved problem in algebra. The author has been able to solve high-order algebraic equations using elementary algebraic methods through exploration.

Abstract: Power system dynamics are generally modeled by high dimensional nonlinear differential-algebraic equations due to a large number of generators, loads, and transmission lines. Thus, its ...

Abstract: Selective Harmonic Elimination Pulse Width Modulation (SHEWM) can eliminate selected low order harmonics by solving nonlinear transcendental equations to obtain the switching angles in ...

Breaking down problems into their component parts works whether you’re solving an algebraic equation or getting the water ...

This maths puzzle is designed to test your problem-solving skills and improve your cognitive function - but some say it's ...

Shi Jin, Zheng Ma, and Keke Wu. Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations. J. Sci. Comput., 94(3):57, 2023. [PDF ...

Science and Technology Education Program, Faculty of Education, Bar-Ilan University, Ramat Gan, Gan, Israel Introduction: There is substantial evidence indicating the favorable influence of music on ...

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, ...

The Goldilocks solution to our math crisis is where relatable problems aren’t so simple that there’s no learning but also not so complex and irrelevant that there's none.

Our purpose in this paper is to study the convergence rate of some variants of the Schwarz alternating method for solving two types of singularly perturbed advection-diffusion equations, one in which ...

A universal technology that identifies gene control targets within altered gene networks in cells and restores them to a ...

Fertility specialists have found a way for women to have babies without men. It involves a cocktail of chemicals acting as an 'artificial sperm' to trick a human egg into forming an embryo. The ...