The first part of the paper deals with an infinite system of weakly coupled (this means that every equation contains derivatives of only one unknown function ...

Optical imaging systems have been playing an essential role in scientific discovery and societal progress for several centuries. For more than 150 years scientists and engineers have used aberration ...

First‑order differential equations, linear and separable equations, integrating factors, applications. Second‑order linear differential equations. Fundamental solutions, linear independence, Wronskian ...

This new AI acts like a digital scientist, turning messy data into simple rules that explain how the world really works.

We anticipate that students possess a grasp of fundamental mathematical concepts equivalent to those covered in the first year of studies for STEM majors at a US college. Additionally, a familiarity ...

A new AI developed at Duke University can uncover simple, readable rules behind extremely complex systems. It studies how ...

This third course in the specialization focuses on modeling requirements. It is highly recommended that students take the first two courses that focus on the core structure in any autonomous system ...