In this paper, an algebraic method which is based on the groebner bases theory is proposed to solve the polynomial functions conditional extreme. Firstly, we describe how to solve conditional extreme ...

Modeling, prediction, and recognition tasks depend on the proper representation of the objective curves and surfaces. Polynomial functions have been proved to be a powerful tool for representing ...

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...

By the end of this section, you will be able to: * Use the Zero Product Property * Solve quadratic equations by factoring * Solve equations with polynomial functions * Solve applications modeled by ...

This file contains functions for evaluating Lagrange polynomials and approximating derivatives using interpolation. lagrange_poly(p, xhat, n, x, tol): Evaluates the Lagrange polynomial using a given ...

A new approach for solving polynomial equations is presented in this study. Two techniques for solving quartic equations are described that are based on a new method which was recently developed for ...

We learn at school how to solve polynomial equations of first and second degree, or linear and quadratic equations. In the early 16th century, Italian mathematicians discovered how to solve ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² ...

This work attempts to design a method for computer-based mathematical model of multi-parametric datasets that their features are fully-automatic structural and parametric optimization of models. This ...