👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of ...

👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that a polynomial is an expression of the ...

The vinyl chloride monomer (VCM) is commercially produced on a large scale by thermal cracking of 1,2-dichloroethane (EDC) in a tubular reactor immersed in a furnace. Computational fluid dynamics (CFD ...

\[f(x) = x^{-2}\text{ or }f(x) = \frac{1}{x^{2}}\] Both functions have asymptotes at \(x = 0\) and \(y = 0\) for their basic forms. The vertical asymptote at \(x = 0 ...

Abstract: This work studies the problem of searching for homogeneous polynomial Lyapunov functions for stable switched linear systems. Specifically, we show an equivalence between polynomial Lyapunov ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

In 1940 André Weil wrote a letter to his sister, Simone, outlining his vision for translating between three distinct areas of mathematics. Eighty years later, it still animates many of the most ...

Non-linear regression modeling is common in epidemiology for prediction purposes or estimating relationships between predictor and response variables. Restricted cubic spline (RCS) regression is one ...

Abstract: This paper investigates stability analysis for implicit, switched linear systems using homogeneous Lyapunov functions (HLF). HLFs of increasing degree are constructed through an ...