Open-source MATLAB libraries help you extend MATLAB’s core functionality with advanced tools for optimization, control, and data analysis without paying for commercial toolboxes. These libraries cover ...

In this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for ...

Abstract: Analytic expressions are developed for integrals over curvilinear domains where the integrands are the product of polynomial bases with natural logarithm kernels whose arguments are ...

KZG polynomial commitment scheme allows a committer (Prover) to commit to a polynomial with a short string. Verifier can send Prover a challenge, and of which she creates a proof against the committed ...

Intersection numbers are rational scalar products among functions that admit suitable integral representations, such as Feynman integrals. Using these scalar products, the decomposition of Feynman ...

iol intraocular lens cataract ophthalmology Researchers concluded that the use of polynomial curve fitting presented too many limitations, according to the report. Using a spline curve to analyze ...

Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...

This code computes a combinatorial object I call "n-maximal polynomial". Given a finite field F and a positive integer n, this object is a polynomial over F of degree at most 2n that has a maximal ...

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart. In the physical world, objects often push each other apart in an ...

It's all about the polynomials, baby. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Mathematicians have uncovered a big new piece of evidence ...