Results 31 to 40 of about 739,586 (175)

Transparent DDoS defense by combining Kolmogorov–Arnold networks and XAI for real-time protection in cloud environments

open access: yesTelematics and Informatics Reports
Cloud 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

Stringy differential geometry, beyond Riemann

open access: yes, 2011
While the fundamental object in Riemannian geometry is a metric, closed string theories call for us to put a two-form gauge field and a scalar dilaton on an equal footing with the metric.
Jeon, Imtak   +2 more
core   +1 more source

Differential geometry via infinitesimal displacements

open access: yes, 2015
We present a new formulation of some basic differential geometric notions on a smooth manifold M, in the setting of nonstandard analysis. In place of classical vector fields, for which one needs to construct the tangent bundle of M, we define a prevector
Katz, Mikhail G., Nowik, Tahl
core   +2 more sources

Affine differential geometry of osculating hypersurfaces

open access: yesLietuvos Matematikos Rinkinys, 2012
Osculating surfaces of second order have been studied in classical affine differential geometry [1].  In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
doaj   +1 more source

A primer on exterior differential calculus [PDF]

open access: yesTheoretical and Applied Mechanics, 2003
A pedagogical application-oriented introduction to the cal­culus of exterior differential forms on differential manifolds is presented. Stokes' theorem, the Lie derivative, linear con­nections and their curvature, torsion and non-metricity are discussed.
Burton D.A.
doaj   +1 more source

Evaluation of Linearization Methods for Control of the Pendubot

open access: yesApplied Sciences, 2021
The aim of this paper is to test the usefulness of a new approach based on partial feedback linearization to control the Pendubot. The control problem stated in the article is to stabilize the Pendubot in the upright position.
Paweł Parulski   +2 more
doaj   +1 more source

Differential Geometry of Toda Systems

open access: yes, 1993
In the present paper we give a differential geometry formulation of the basic dynamical principle of the group--algebraic approach \cite{LeS92} --- the grading condition --- in terms of some holomorphic distributions on flag manifolds associated with the
Razumov, A. V., Saveliev, M. V.
core   +1 more source

Tangent Categories from the Coalgebras of Differential Categories [PDF]

open access: yes, 2019
Following the pattern from linear logic, the coKleisli category of a differential category is a Cartesian differential category. What then is the coEilenberg-Moore category of a differential category? The answer is a tangent category!
Cockett, Robin   +2 more
core   +2 more sources

Analytical ruled surfaces and their complete classification

open access: yesStructural Mechanics of Engineering Constructions and Buildings, 2020
The aim of the work - to give the possibility to expand mind of designers and architects projecting structures in the form of traditional and non-canonical ruled surfaces.
Sergey N. Krivoshapko
doaj   +1 more source

Differential Algebras in Non-Commutative Geometry

open access: yes, 1993
We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of ...
Chamseddine   +19 more
core   +1 more source

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