The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

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

Consider an unknown polynomial of degree m. You would require m+1 roots of the polynomial to solve for the coefficients, represented as k = m + 1. f(x) is the polynomial function m is the degree of ...

Abstract: This paper aims to analyze the stability and positivity of positive systems using on polynomial fuzzy models (PFMB). The nonlinear system dynamics are modelled using polynomial fuzzy models, ...

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

Now that you know what \({\log _a}x\) means, you should know and be able to use the following results, known as the laws of logarithms.

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

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