golem.ph.utexas.edu

Tutte Polynomials and Magnitude Functions

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 ...
Scientific Research Publishing

Polynomial Functions Composed of Terms with Non-Integer Powers ()

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 ...
Nature

Chromatic Symmetric Functions And Combinatorial Polynomials

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

Polyanalytic Function Theory and Hermite Polynomials

Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...
IEEE

Generalized Adaptive Polynomial Window Function

Abstract: We present a novel method to design and optimize window functions based on combinations of linearly independent functions. These combinations can be performed using different strategies, ...
IEEE

Parametric Modeling Incorporating Joint Polynomial-Transfer Function With Neural Networks for Microwave Filters

Abstract: This article proposes a novel parametric modeling technique incorporating a joint polynomial-transfer function with neural networks (short for neuro-PTF) for electromagnetic (EM) behaviors ...