Cubic and quartic functions are the natural extension of polynomials after quadratics, representing higher-order polynomials with degrees three and four respectively. Understanding these polynomials ...

Abstract: In this paper, we study the generalization capabilities of geometric graph neural networks (GNNs). We consider GNNs over a geometric graph constructed from a finite set of randomly sampled ...

Hyperbola and truncus functions are classified as power functions due to their distinct forms, characterised by negative exponents. Unlike polynomials, this form results in unique graphs that feature ...

This section covers well-known basis functions: Legendre polynomials, Jacobi polynomials, Laguerre polynomials/functions, and Hermite polynomials/functions. The ...

World Scientific series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the ...

Assorted math functions, including linear interpolation, list operations (sums, mean, products), convolution, quantization, log2, hyperbolic trig functions, random ...