Results 31 to 40 of about 287,232 (281)
Telematics and Informatics ReportsCloud computing environments face persistent threats from sophisticated Distributed Denial of Service (DDoS) attacks. Effective defense requires not only high accuracy but also real-time performance and transparent decision-making, a combination that ...
Mohamed Ouhssini +6 more
doaj +1 more source
A Calculus Based on a q-deformed Heisenberg Algebra
, 1998 We show how one can construct a differential calculus over an algebra where position variables x and momentum variables p have be defined. As the simplest example we consider the one-dimensional q-deformed Heisenberg algebra.
Cerchiai, B. L. +3 more
core +1 more source
Differential Bundles in Commutative Algebra and Algebraic Geometry
Theory and Applications of Categories, 2023 In this paper, we explain how the abstract notion of a differential bundle in a tangent category provides a new way of thinking about the category of modules over a commutative ring and its opposite category. MacAdam previously showed that differential bundles in the tangent category of smooth manifolds are precisely smooth vector bundles.
Cruttwell, G. S. H. +1 more
openaire +3 more sources
Renormalization group-like proof of the universality of the Tutte polynomial for matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced by Schmitt (1994). We show that these Hopf algebra characters are solutions
G. Duchamp +3 more
doaj +1 more source
(q, σ, τ)-Differential Graded Algebras
Universe, 2018 We propose the notion of ( q , σ , τ ) -differential graded algebra, which generalizes the notions of ( σ , τ ) -differential graded algebra and q-differential graded algebra. We construct two examples of ( q , σ
Viktor Abramov +2 more
doaj +1 more source
An Introduction to Spinor Differential and Integral Calculus from q− Lorentzian Algebra
Revista Integración, 2023 We introduce in this paper the spinor differential and integral calculus from q- lorentzian algebra, differential spinor equation and lorentzian q− spinor differential equation. Finally a few comments.
Julio Cesar Jaramillo Quiceno
doaj +1 more source
Differential Geometry of the q-plane
, 2001 Hopf algebra structure on the differential algebra of the extended $q$-plane is defined. An algebra of forms which is obtained from the generators of the extended $q$-plane is introduced and its Hopf algebra structure is given.Comment: 9 ...
Reshetikhin N. Y. +2 more
core +1 more source
On differential Hopf algebras [PDF]
Transactions of the American Mathematical Society, 1963 Differential Hopf algebras arise in several contexts in algebraic topology. The Bockstein spectral sequence of an //-space is one example that has been investigated by many authors [3; 1; 7; 8]. Borel [3] and Araki [1] proved algebraic theorems about the structure of differential Hopf algebras of special kinds.
openaire +1 more source
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley +1 more source
Noncommutative differential calculus for Moyal subalgebras
, 2004 We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction.
A. Zampini +14 more
core +1 more source