In this article, we investigate the stability analysis of a polynomial-fuzzy-model-based control system by employing a new form of approximate membership functions called Chebyshev membership ...

Cubic and quartic functions are the natural extension of polynomials after quadratics, representing higher-order polynomials with degrees three and four respectively. Understanding these polynomials ...

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

The algorithm consists of factoring single-variable instances of the given polynomial by Kronecker's method and introducing the remaining variables by interpolation. Techniques for implementing the ...

These results follow from a general theorem which models such polynomials by Hermite polynomials. In the case of the Riemann zeta function, this proves the Gaussian unitary ensemble random matrix ...

where A is a Vandermonde matrix. 3.1 Piecewise Polynomial Interpolation A quite natural and different approach to approximate a function on an interval is to first split the interval into subintervals ...

Polynomial trending occurs in large data sets containing many fluctuations and describes a curved or broken pattern from a straight linear trend.