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: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

In the present article, fractional view of third order Kortewege-De Vries equations is presented by a sophisticated analytical technique called Mohand decomposition method. The Caputo fractional ...

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...

DNA and a 20-year-old genealogy expert helped state police identify the man who abducted, raped and murdered a young girl in a case that rattled a Pennsylvania coal town nearly six decades ago, ...

A mathematical brain teaser challenges people to solve the matchstick equation in just two moves. The puzzle uses matchsticks to create an equation that shows 3 + 3 = 8 and instructs viewers to make ...

From drug discovery and education to economics and earth science, SMU researchers are using AI to tackle a wide range of real-world challenges. SMU’s high-performance computing capabilities — made up ...

This study presents a valuable comparison of the efficiency and precision of two prime editing methods to introduce single-nucleotide variants and longer exogenous DNA sequences into the zebrafish ...

A back-to-basics brain teaser is dividing the internet. BholanathDutta shared the sum 100 + 100 × 4 = ? on X, formerly Twitter, sparking debate among users. At first glance, many people speed to the ...