Results 91 to 100 of about 16,698 (215)

Transposed Poisson superalgebra [PDF]

Proceedings of the Estonian Academy of Sciences
In this paper, we propose the notion of a transposed Poisson superalgebra. We prove that a transposed Poisson superalgebra can be constructed by means of a commutative associative superalgebra and an even degree derivation of this algebra.
Viktor Abramov, Olga Liivapuu
doaj   +1 more source

Advancements in detecting, preventing, and mitigating DDoS attacks in cloud environments: A comprehensive systematic review of state-of-the-art approaches

Egyptian Informatics Journal
This comprehensive study examines cutting-edge strategies for combating Distributed Denial of Service (DDoS) attacks in cloud environments, addressing a critical gap in recent literature. Through a systematic review of the latest advancements, we propose
Mohamed Ouhssini, Karim Afdel, Mohamed Akouhar, Elhafed Agherrabi, Abdallah Abarda   +4 more
doaj   +1 more source

Nonassociative Algebras: A Framework for Differential Geometry

International Journal of Mathematics and Mathematical Sciences, 2003
A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
doaj   +1 more source

Differential Equations and Algebraic Relations

Journal of Symbolic Computation, 1998
Let \(L\) be a Picard-Vessiot extension of \(F\), \(R\) be a ring of Picard-Vessiot elements of \(L\) over \(F\) and \(G= \text{Gal} (L/F)\). Suppose that \(R= F[y_1,\dots,y_n]= F[y]\), \(G(V)\subset V\), where \(V\) is a linear envelope of \(y\) over the constants of \(F\), and let \(I\) be a defining ideal of \(y\) in \(F[y]\). The author presents in
openaire   +1 more source

HZ -algebra spectra are differential graded algebras [PDF]

American Journal of Mathematics, 2007
We show that the homotopy theory of differential graded algebras coincides with the homotopy theory of HZ-algebra spectra. Namely, we construct Quillen equivalences between the Quillen model categories of (unbounded) differential graded algebras and HZ-algebra spectra.
openaire   +2 more sources

Perturbation Differential A-Infinity Algebra

, 2020
In the present paper, we investigate and introduce the perturbation of dA∞-algebra and the homotopy property (SDR-case). We also verify the homotopy theory of dA∞-algebras and A∞- differential module.
Hassan Noreldeen Mohamed, Alaa
core   +1 more source

Differential Equations with Linear Algebra

, 2009
Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra.
Goldberg, Jack L, Potter, Merle C, Boelkins, Matthew R   +2 more
core  

Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation [PDF]

, 2006
[Abstract]: The computer algebra routine documented here empowers you to reproduce and check many of the details described elsewhere. We consider a region of a spatial domain far from any boundaries, and apply stochastic centre manifold techniques to ...
Roberts, A. J.
core  

Computer algebra derives normal forms of stochastic differential equations [PDF]

, 2007
[Abstract]: Modelling stochastic systems has many important applications. Normal form coordinate transforms are a powerful way to untangle interesting long term dynamics from undesirably detailed microscale dynamics.
Roberts, A. J.
core  

Computer Algebra and Differential Equations - An Overview

, 2007
We present an informal overview of a number of approaches to differential equations which are popular in computer algebra. This includes symmetry and completion theory, local analysis, differential ideal and Galois theory, dynamical systems and numerical
Seiler, Werner M., Werner M. Seiler
core   +1 more source