IEEE

SOS-Based Stability Analysis of Polynomial Fuzzy-Model-Based Control Systems Via Polynomial Membership Functions

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 ...
Science Daily

Strange new shapes may rewrite the laws of physics

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...
BBC

Calculating standard form with a calculator

Standard form close standard formA system in which numbers are written as a number greater than 1 and less than 10 multiplied by a power of 10 which may be positive or negative. can be calculated on a ...
IEEE

Bent and Hyper-Bent Functions in Polynomial Form and Their Link With Some Exponential Sums and Dickson Polynomials

Abstract: Bent functions are maximally nonlinear Boolean functions with an even number of variables. They were introduced by Rothaus in 1976. For their own sake as interesting combinatorial objects, ...
Scientific Research Publishing

D. E. Alvarez-Castillo and M. Kirchbach, “Exact Spectrum and Wave Functions of the Hyperbolic Scarf Potential in Terms of Finite Romanovski Polynomials,” Revista Mexicana ...

ABSTRACT: We propose a method for construction of exactly solvable ring-shaped potentials where the linear homogeneous second-order differential equation satisfied by special function is subjected to ...
INSPIRE

Lie Algebras of Univariate and Bivariate Hermite Polynomials and New Generating Function

Abstract This paper presents the connections between univariate and bivariate Hermite polynomials and associated differential equations with specific representations of 𝔰𝔩(2,𝑅) algebra whose Cartan ...