Results 61 to 70 of about 33,621 (261)

Autonomous Sorting of Beads in a 3D Environment Using Levitating Magnetic Microrobots

Advanced Intelligent Systems, EarlyView.
An untethered, magnetically actuated microrobot autonomously collects, weighs, classifies, and sorts passive particles in 3D environments. The system integrates motion control, trajectory planning, and action scheduling to perform fully automated operations.
Franco N. Piñan Basualdo, Corrado Verde, Fanny Ficuciello, Sarthak Misra   +3 more
wiley   +1 more source

Several characterizations of bivariate quantum-Hermite-Appell Polynomials and the structure of their zeros

AIMS Mathematics
This paper investigated the fundamental characteristics and uses of a new class of bivariate quantum-Hermite-Appell polynomials. The series representation and generating relation for these polynomials were derived.
Mohra Zayed, Taghreed Alqurashi, Shahid Ahmad Wani, Cheon Seoung Ryoo, William Ramírez   +4 more
doaj   +1 more source

ARBITRARY-ORDER HERMITE GENERATING FUNCTIONS FOR COHERENT AND SQUEEZED STATES [PDF]

, 1995
For use in calculating higher-order coherent- and squeezed- state quantities, we derive generalized generating functions for the Hermite polynomials. They are given by $\sum_{n=0}^{\infty}z^{jn+k}H_{jn+k}(x)/(jn+k)!$, for arbitrary integers $j\geq 1$ and
Brandt, D'Ariano, D'Ariano, D'Ariano, D.Rodney Truax, Dodonov, Fisher, Hansen, Kalnins, Kato, Katriel, Katriel, Katriel, Katriel, Magnus, Michael Martin Nieto, Nieto, Wilf   +17 more
core   +2 more sources

Spreading lengths of Hermite polynomials

Journal of Computational and Applied Mathematics, 2010
16 pages, 4 figures.
Rafael J. Yáñez, Daniel Manzano, Pablo Sánchez-Moreno, Jesús S. Dehesa   +3 more
openaire   +3 more sources

On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion

International Journal for Numerical Methods in Fluids, EarlyView.
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras, Hervé Guillard, Boniface Nkonga, Francesca Rapetti   +3 more
wiley   +1 more source

Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Applied Mathematics in Science and Engineering
This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj   +1 more source

Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions

AIMS Mathematics, 2023
The 2-variable modified partially degenerate Hermite (MPDH) polynomials are the subject of our study in this paper. We found basic properties of these polynomials and obtained several types of differential equations related to MPDH polynomials.
Gyung Won Hwang, Cheon Seoung Ryoo, Jung Yoog Kang   +2 more
doaj   +1 more source

On the hermite matrix of a polynomial

Linear Algebra and its Applications, 1971
AbstractWe investigate the location of the eigenvalues of the Hermite matrix of a given complex polynomial, the question under what conditions a given polynomial and the characteristic polynomial of its Hermite matrix are identical, and the question under what conditions the Hermite matrix has only one distinct eigenvalue.
openaire   +2 more sources

Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado, Bruno Alves do Carmo, Mauro Antonio Rincon   +2 more
wiley   +1 more source

Context-Free Grammars for Several Triangular Arrays

Axioms, 2022
In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials.
Roberta Rui Zhou, Jean Yeh, Fuquan Ren
doaj   +1 more source