Warp drive has quietly shifted from pure fantasy to a live topic in serious physics, with new models showing how spacetime itself could be shaped without breaking Einstein’s rules. The latest designs ...

Analysis and interpretation of the behavior and nature of functions including linear, quadratic, higher-order polynomials, rational, exponential, logarithmic, power, absolute value, and ...

Abstract: This paper proposes sum-of-squares (SOS) methodologies for stability analysis and region-of-attraction (ROA) estimation for nonlinear systems represented by polynomial fuzzy models via ...

Abstract: Inspired by the idea of multiple Lyapunov functions (MLFs), we use piecewise continuous scalar functions to investigate the stabilizability of time-varying switched systems. Starting with ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

In the late 1960s and early 1970s, the American cartoonist Crockett Johnson created a series of paintings on mathematical subjects. They’re based on theorems, laws, and mathematical figures, but ...

The course gives insight into theory and algorithms for fundamental mathematical problems associated with systems of equations, optimization, and approximation of functions. There are many ...

Stripe patterns are ubiquitous in nature, describing macroscopic phenomena such as stripes on plants and animals, down to material impurities on the atomic scale. We propose an algorithm for ...

An eGFR below 60 ml/min indicates possible kidney disease. High creatinine levels in the blood can suggest the kidneys are not working well. A urine albumin result higher than 30 mg/gram may be a sign ...

Neurons are cells that transmit electrical signals through the nervous system. Motor neurons control muscle activity and movement by carrying impulses from the brain and spinal cord. Sensory neurons ...