Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several ...

Last summer in Barcelona, Joachim Kock floated the idea that there might be a connection between two invariants of graphs: the Tutte polynomial and the magnitude function. Here I’ll explain what these ...

There are several approaches to find roots of a given polynomial via computer assistance with finite precisions. Some of the common techniques to deal with such problems are Interval Bisection, ...

Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

Abstract: We propose necessary and sufficient conditions for a function /spl phi/(t) to be a polynomial and establish a formula that allows us to compute the value of the derivative /spl phi/'(t) of a ...

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 ...

"Plot a mathematical function using Python `matplotlib` module." "that will be drawn for $x \\in [x_{\\rm beg}, x_{\\rm end}]$, where $x_i$ is roots of the function ...