Results 71 to 80 of about 582,984 (315)

Polynomial Triangles Revisited [PDF]

, 2012
A polynomial triangle is an array whose inputs are the coefficients in integral powers of a polynomial. Although polynomial coefficients have appeared in several works, there is no systematic treatise on this topic. In this paper we plan to fill this gap.
Mohammedia Morocco, Nour-eddine Fahssi
core  

Supercongruences for polynomial analogs of the Apéry numbers [PDF]

Proceedings of the American Mathematical Society, 2018
We consider a family of polynomial analogs of the Ap\'ery numbers, which includes $q$-analogs of Krattenthaler--Rivoal--Zudilin and Zheng, and show that the supercongruences that Gessel and Mimura established for the Ap\'ery numbers generalize to these ...
A. Straub
semanticscholar   +1 more source

Polynomial solutions of binomial congruences [PDF]

Journal of the Australian Mathematical Society, 1960
Polynomial solutions of a few binomial congruences have been known for a long time. For instance Legendre showed that the congruence has a solution this being the expansion of as far as the term of degree m — 3. [1] It seems that only restricted types, e.g. (1), have been investigated.
openaire   +1 more source

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

Hankel determinants of middle binomial coefficients and conjectures for\n some polynomial extensions and modifications [PDF]

, 2021
Johann Cigler
openalex   +2 more sources

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

Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers

Mathematics, 2022
Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.
Dongwei Guo, Wenchang Chu
doaj   +1 more source

Polynomial Functors of Modules [PDF]

, 2014
We introduce the notion of numerical functors to generalise Eilenberg & MacLane's polynomial functors to modules over a binomial base ring. After shewing how these functors are encoded by modules over a certain ring, we record a precise criterion for a ...
Harry Martinson Aniara, Qimh Richey Xantcha   +1 more
core  

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