Results 31 to 40 of about 739,586 (175)
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
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Stringy differential geometry, beyond Riemann
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
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Differential geometry via infinitesimal displacements
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
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Affine differential geometry of osculating hypersurfaces
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
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A primer on exterior differential calculus [PDF]
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.
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Evaluation of Linearization Methods for Control of the Pendubot
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
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Differential Geometry of Toda Systems
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.
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Tangent Categories from the Coalgebras of Differential Categories [PDF]
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
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Analytical ruled surfaces and their complete classification
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
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Differential Algebras in Non-Commutative Geometry
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
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