Optimization is a crucial tool throughout science and technology. Large datasets and high dimensional problems create unique challenges for standard optimization techniques such as Newton’s method, ...

Here’s the secret.

Every day, researchers search for optimal solutions. They might want to figure out where to build a major airline hub. Or to determine how to maximize return while minimizing risk in an investment ...

Cross-check answers using reverse calculations. Use approximation to quickly estimate answers in MCQs. Memorise square roots, cube roots, and multiplication tables for quicker calculations. Example: ...

Repetition doesn’t always have to be humdrum. In mathematics, it is a powerful force, capable of generating bewildering complexity. Even after decades of study, mathematicians find themselves unable ...

Abstract: A class of Lyapunov functions for discrete-time Lurie systems with monotonic nonlinearities is proposed. The Lyapunov functions are composed of quadratic terms on the states and of the ...

All routes to STEM (science, technology, engineering and mathematics) degrees run through calculus classes. Each year, hundreds of thousands of college students take introductory calculus. But only a ...

In this paper, we address a persistent object search and surveillance mission for drone networks equipped with onboard cameras, and present a safe control strategy based on control barrier functions ...