Abstract: In this article, we search for polynomial Lyapunov functions beyond the quadratic form to investigate the synchronization problems of nonlinearly coupled complex networks. First, with a ...

Polynomial Regression is a process by which given a set of inputs and their corresponding outputs, we find an nth degree polynomial f(x) which converts the inputs into the outputs. This f(x) is of the ...

Abstract: Polynomial Lyapunov function $\mathcal{V}({\mathbf{x}})$ provides mathematically rigorous that converts stability analysis into efficiently solvable optimization problem. Traditional ...

Executive function describes a set of cognitive processes and mental skills that help an individual plan, monitor, and successfully execute their goals. The “executive functions,” as they’re known, ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

The U.S. central banking system—the Federal Reserve, or the Fed—is the most powerful economic institution in the United States, and perhaps the world. Its core responsibilities include setting ...

David Gorton, CPA, has 5+ years of professional experience in accounting. He teaches accounting, helping promote financial education and awareness. Gordon Scott has been an active investor and ...

Daniele Struppa will be returning to the classroom and research, though he never really left it during his decade leading the ...

Dr. James McCaffrey presents a complete end-to-end demonstration of the kernel ridge regression technique to predict a single ...

You’ve probably heard the word antioxidant before — maybe in a health magazine, a story headline online, or even in your doctor’s office. But how much do you know about these important nutrients? Here ...

After months of intense training and finally crossing the finish line, you find yourself sick after running a marathon. Whether it’s stomach upset or flu-like symptoms, it’s normal to feel sick after ...