Abstract: Nonlinear feedback design via state-dependent Riccati equations is well established but unfeasible for large-scale systems because of computational costs. If the system can be embedded in ...

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...

Abstract: Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the ...

Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

For some high school students, statistics and other data science courses have unseated calculus as the de facto option for pursuing advanced math, in part due to targeted state efforts to expand ...

The link between good oral health and general health isn't a far-fetched notion. There's many pieces about how your teeth can tell you a lot about the rest of your body. For example, poor oral hygiene ...

The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, and statistics. These provide the foundation for developing the needed ...

Linear IgA bullous dermatosis (LABD) is an autoimmune disease that causes blisters. People with LABD can develop blisters in the skin and the mucous membranes in their mouth, genitals, and eyelids.

High school students in a calculus class. A 2024 survey of college admissions officers shows that many give extra weight to applicants with calculus on their transcripts. Credit: Brett Coomer/Houston ...