In Mathematics, there are no shortcuts to understanding, but there are definitely smarter paths to scoring well.

Since ancient Greece, researchers have tried to isolate special rational points on curves. Now they have the first ever formula that applies uniformly to all curves ...

Abstract: Conventionally, the large sparse matrix equation ($Ax=b$) generated by the Laguerre-FDTD method is computed using direct matrix solvers, which is often ...

Abstract: In this article, a novel iterative algorithm is proposed to obtain the positive definite solutions of the discrete coupled Riccati matrix equations. In the presented algorithm, there are no ...

This repository uses differentiable PDE solvers for optimal control problems. Therein, two different approaches are shown: $$\begin{align*} \min_{f^{\text{guess ...

Bernoulli’s Equation formula is a relation between pressure, kinetic energy, and gravitational potential energy of a fluid in a container. The formula for Bernoulli's principle is as follows: Here, p ...

Recurrent neural networks (RNN) have been extensively studied and applied in many scientific and engineering fields in the past two decades, such as automatic control theory [1], image processing [2, ...