Results 21 to 30 of about 1,229 (61)

Some Identities of the Degenerate Multi‐Poly‐Bernoulli Polynomials of Complex Variable

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we introduce degenerate multi‐poly‐Bernoulli polynomials and derive some identities of these polynomials. We give some relationship between degenerate multi‐poly‐Bernoulli polynomials degenerate Whitney numbers and Stirling numbers of the first kind.
G. Muhiuddin, W. A. Khan, U. Duran, D. Al-Kadi, Gangadharan Murugusundaramoorthy   +4 more
wiley   +1 more source

A Note on the Poly‐Bernoulli Polynomials of the Second Kind

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this paper, we define the poly‐Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials. In addition, we define unipoly‐Bernoulli polynomials of the second kind and study some properties of those polynomials.
Sang Jo Yun, Jin-Woo Park, Serkan Araci
wiley   +1 more source

Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra [PDF]

, 2010
This article concerns the computational problem of counting the lattice points inside convex polytopes, when each point must be counted with a weight associated to it.
Baldoni, Velleda, Berline, Nicole, De Loera, Jesús A., Köppe, Matthias, Vergne, Michèle   +4 more
core   +1 more source

Preserving Privacy in Multimedia Social Networks Using Machine Learning Anomaly Detection

Security and Communication Networks, Volume 2020, Issue 1, 2020., 2020
Nowadays, user’s privacy is a critical matter in multimedia social networks. However, traditional machine learning anomaly detection techniques that rely on user’s log files and behavioral patterns are not sufficient to preserve it. Hence, the social network security should have multiple security measures to take into account additional information to ...
Randa Aljably, Yuan Tian, Mznah Al-Rodhaan, Zhaoqing Pan   +3 more
wiley   +1 more source

Appell polynomials and their relatives II. Boolean theory

, 2007
The Appell-type polynomial family corresponding to the simplest non-commutative derivative operator turns out to be connected with the Boolean probability theory, the simplest of the three universal non-commutative probability theories (the other two ...
Anshelevich, Michael
core   +2 more sources

Free Meixner states

, 2007
Free Meixner states are a class of functionals on non-commutative polynomials introduced in math.CO/0410482. They are characterized by a resolvent-type form for the generating function of their orthogonal polynomials, by a recursion relation for those ...
C.N. Morris, D. Kim, D. Pommeret, E. Lytvynov, G. Szegö, H.T. Koelink, I. Kubo, J. Meixner, J. Wesołowski, J.M. Cohen, L. Accardi, M. Anshelevich, M. Anshelevich, M. Anshelevich, M. Bożejko, M. Bożejko, M. Bożejko, M. Casalis, Michael Anshelevich, N. Saitoh, P. Flajolet, P. Śniady, R.G. Laha, É. Ricard   +23 more
core   +2 more sources

Integrals of Motion for Critical Dense Polymers and Symplectic Fermions

, 2009
We consider critical dense polymers ${\cal L}(1,2)$. We obtain for this model the eigenvalues of the local integrals of motion of the underlying Conformal Field Theory by means of Thermodynamic Bethe Ansatz. We give a detailed description of the relation
Alessandro Nigro, Brankov J G, Feigin B L Gainutdinov A M Semikhatov A M Tipunin I Yu, Gaberdiel M R, Jones V F R, Kausch H G, Nigro A, Nigro A, Pearce P A, Pearce P A, Pearce P A, Pearce P A, Piroux G, Piroux G, Sasaki R   +14 more
core   +2 more sources

Automated Transmissibility‐Based Damage Detection for Output‐Only Systems

Structural Control and Health Monitoring, Volume 2025, Issue 1, 2025.
In this study, an automated transmissibility‐based procedure for damage detection is developed for output‐only systems. The application of transmissibility has been previously investigated for damage detection. Despite the advancements, current techniques are not applicable in a general way, as vast experience or expert knowledge is needed to achieve ...
David Bonilla, Clemens Jonscher, Marlene Wolniak, Tanja Grießmann, Raimund Rolfes, Bareille Olivier   +5 more
wiley   +1 more source

Equivariant Kirchberg-Phillips-type absorption for amenable group actions

, 2018
We show an equivariant Kirchberg-Phillips-type absorption theorem for pointwise outer actions of discrete amenable groups on Kirchberg algebras with respect to natural model actions on the Cuntz algebras $\mathcal{O}_\infty$ and $\mathcal{O}_2$.
Szabo, Gabor
core   +1 more source

Partitioning problems via random processes

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract There are a number of well‐known problems and conjectures about partitioning graphs to satisfy local constraints. For example, the majority colouring conjecture of Kreutzer, Oum, Seymour, van der Zypen and Wood states that every directed graph has a 3‐colouring such that for every vertex v$v$, at most half of the out‐neighbours of v$v$ have ...
Michael Anastos, Oliver Cooley, Mihyun Kang, Matthew Kwan   +3 more
wiley   +1 more source