Abstract: Three dimensional (3D) overhead crane is a typical multi-input multi-output (MIMO) and underactuated mechatronic system. Complex double spherical pendulum dynamics and varying cable length ...

Mathematical modeling of real life phenomena is a powerful tool in analyzing and describing their dynamical behavior. These models can be optimized and controlled using appropriate optimization ...

A Russian mathematician has developed a new method for analyzing a class of equations that underpin models in physics and economics and are considered "eternal" as they have challenged researchers for ...

Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they perform. By Siobhan Roberts A few weeks ago, a high school student emailed Martin ...

Abstract: For transporting large cargoes in practice, the triple pendulum hoisting pattern is widely utilized, where the distributed mass payload (DMP) is suspended under the hanger, the hanger is ...

Most people in the math education space agree that students need to be fluent with basic math facts. By the time kids are in upper elementary grades, they should be able to produce the answer to 6x3 ...