The realm of functions in mathematics is vast and varied, with each type possessing unique characteristics and behaviors. Among these, polynomial functions hold a special place due to their simplicity ...

Abstract: This paper is concerned with obtaining the inverse of polynomial functions using semidefinite programming (SDP). Given a polynomial function and a nominal point at which the Jacobian of the ...

This project demonstrates how to implement polynomial regression using Python and scikit-learn. The code generates synthetic data, fits a polynomial regression model, evaluates the model's performance ...

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

This code contains three implementations of the polynomials in OCaml. It is intended as a pedagical exercise to demonstrate OCaml. The three implementations are : array_polynomial.ml: an ...

Alpha functions usually aim at predicting the thermodynamic properties of specific compounds in a limited range of reduced temperatures. The differences between polynomial alpha functions are mainly ...

I can find the best-fit polynomial function for the array, y = ax^2 + bx + c (where y = voltage output and x = incident temperature), and if I have arrays of data at flat fields captured at known T0, ...

Organized electricity markets often require submission of supply functions ahead of the realization of uncertain demand. As a model of oligopoly behavior, the Nash condition of supply function ...