It can take years for humans to solve complex scientific problems. With AI, it can take a fraction of the time.

Probability and Statistics Group research at the School of Mathematical and Computer Sciences at Heriot-Watt University, Edinburgh.

For dissipative partial differential equations the Lumer-Phillips generation theorem characterizes solvability and also boundedness of the associated semigroup. An extension of the Lumer-Phillips ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

In chemical reaction network theory, ordinary differential equations are used to model the temporal change of chemical species concentration. As the functional form of these ordinary differential ...

Experience the incredible talent of workshop mechanics as they repair a broken truck differential gear with precision and expertise. From disassembly to reassembly, watch the entire process unfold ...

By engaging with key quantum equations—such as the Schrödinger equation, Heisenberg uncertainty principle, and Dirac equation—the paper demonstrates how AOM unifies the probabilistic nature of quantum ...

Differential equations are a cornerstone of financial mathematics, underpinning many models and techniques used in quantitative finance. Their ability to accurately model the dynamics of financial ...

In this overview of fluid mechanics, you'll learn the basics of what fluids are, the properties and equations that govern their movement, and the different types of fluid flow. You'll gain an ...

The new model may explain why our universe's space-time geometry doesn't exist in a superposition of states and obeys the classical equations of Einstein 's relativity.

The educational significance of the double pendulum is emphasized in teaching key concepts in Classical Mechanics, Differential Calculus, Linear Algebra, and Numerical Methods for solving ordinary ...