“For the simple pendulum does not naturally provide an accurate and equal measure of time, since its wider motions are observed to be slower than its narrower motions.” ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

Dynamical low-rank approximation (DLRA) is an emerging tool for reducing computational costs and provide memory savings when solving high-dimensional problems. In this work, we propose and analyze a ...

Terrifying video has been released showing the moment two gondola cars detached from a high-flying amusement park ride and crashed, leaving ten people injured, including six critically. It happened ...

Abstract: The inverted pendulum is modeled by Associated Linear Equations in its discrete version (Non-linear with Auto-Regressive inputs NARXs). Its homogeneous and particular response is evaluated ...

Abstract: This paper tackles a 3D inverted pendulum stabilization problem, where the pendulum is attached on a quadrotor. We first derive the mathematical model of the quadrotor-pendulum system based ...

It used to be that people would map out their careers in a very linear fashion. For example, let's say you wanted to be a lawyer. You would plan to go to good schools, land a job with a top firm, and ...