Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

Index generation functions are a particular class ofswitching (Boolean or multiple-valued) functions that have some important applications in communication, data retrieval and processing, and related ...

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 function ...

Polynomial-Regression This project implements Polynomial Regression, a regression technique that fits a polynomial equation to the data instead of a linear equation. It is particularly useful when the ...

Polynomial Regression and Feature Transformation This project explores polynomial regression models and the impact of feature transformations, such as sine functions, on model fitting.

Integrable Systems and Orthogonal Polynomials Publication Trend The graph below shows the total number of publications each year in Integrable Systems and Orthogonal Polynomials.

Discover new exact solutions for the time-dependent coefficients Calogero-Degasperis equation using Auto-B?cklund transformation and extended tanh-function method. Explore soliton propagation under ...

By means of Hirota’s bilinear operator and the binary Bell polynomials, the bilinear form and the bilinear Bäcklund transformation are obtained. Furthermore, by application of the Hopf-Cole ...

Graph transformations Given the graph of a common function, (such as a simple polynomial, quadratic or trig function) you should be able to draw the graph of its related function.