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 ...

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

Abstract: This paper presents stability analysis of polynomial fuzzy-model-based (FMB) control systems using the sum-of-squares (SOS) approach. Recently, stability analysis of the polynomial ...

The Derivative Helper will derive any polynomials the user inputs and even graph it to give a visual aid. The user will input a function, such as y=3x^3+2x^2-x+6, in a GUI that will contain intuitive ...

Abstract: While frequency-domain algorithms have been demonstrated to be powerful for conventional nonlinear signal processing, there is still not much progress in literature dedicated to nonlinear ...

Vol. 31, No. 1, The 23rd International Conference on Finite and Infinite Dimensional Complex Analysis and Applications (2017), pp. 9-16 (8 pages) Abstract.The aim of this paper is to investigate and ...

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 ...