Results 51 to 60 of about 62,131 (208)

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

New Laguerre-polynomials’ generating functions derived by virtue of operator Hermite-polynomial method and entangled state representation

AIP Advances
In this paper, we derive two new generating functions of Laguerre-polynomials, which look like the negative binomial theorem for the Laguerre function Lnx, by adopting the bi-partite entangled state representation and the operator-Hermite-polynomial HnX ...
Ke Zhang, Hong-Yi Fan
doaj   +1 more source

Free field primaries in general dimensions: counting and construction with rings and modules

Journal of High Energy Physics, 2018
We define lowest weight polynomials (LWPs), motivated by so(d, 2) representation theory, as elements of the polynomial ring over d × n variables obeying a system of first and second order partial differential equations.
Robert de Mello Koch, Sanjaye Ramgoolam
doaj   +1 more source

Computing the binomial part of a polynomial ideal

Journal of Symbolic Computation, 2023
Given an ideal $I$ in a polynomial ring $K[x_1,\dots,x_n]$ over a field $K$, we present a complete algorithm to compute the binomial part of $I$, i.e., the subideal ${\rm Bin}(I)$ of $I$ generated by all monomials and binomials in $I$. This is achieved step-by-step.
Martin Kreuzer, Florian Walsh
openaire   +2 more sources

Decoding Emotional Signatures of Ethical Ads: An Analysis of Actor‐Viewer Synchrony

Journal of Consumer Behaviour, EarlyView.
ABSTRACT We examine whether ethical advertisements differ from conventional ads in their on‐screen emotional signatures and whether those signatures transfer to actor‐viewer synchrony. Study 1 analyses 138 professionally produced YouTube ads using Automated Facial Expression Recognition (AFER) and Convolutional Neural Networks (CNN) to quantify actor ...
Vik Naidoo, Nicolas Hamelin
wiley   +1 more source

Restricted Tweedie stochastic block models

Canadian Journal of Statistics, EarlyView.
Abstract The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an adjacency matrix that consists of nonnegative zero‐inflated continuous edge weights.
Jie Jian, Mu Zhu, Peijun Sang
wiley   +1 more source

q-Analogue of a binomial coefficient congruence

International Journal of Mathematics and Mathematical Sciences, 1995
We establish a q-analogue of the congruence (papb)≡(ab)   (modp2) where p is a prime and a and b are positive integers.
W. Edwin Clark
doaj   +1 more source

Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation

, 1994
We give the classification of second-order polynomial SUSY Quantum Mechanics in one and two dimensions. The particular attention is paid to the irreducible supercharges which cannot be built by repetition of ordinary Darboux transformations.
A.A. Andrianov, Ancarani, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Andrianov, Cooper, D.N. Nishnianidze, Darboux, Gendenshtein, Infeld, Lahiri, Luban, M.V. Ioffe, Miller, Moutard, Moutard, Pursey, Pursey, Sukumar, Sukumar, Sukumar, Sukumar, Sukumar, Witten, Witten   +27 more
core   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Polynomial sequences of binomial-type arising in graph theory [PDF]

, 2012
In this paper, we show that the solution to a large class of "tiling" problems is given by a polynomial sequence of binomial type. More specifically, we show that the number of ways to place a fixed set of polyominos on an $n\times n$ toroidal chessboard
Schneider, Jon
core