Results 41 to 50 of about 3,889,100 (366)
Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]
Sahand Communications in Mathematical AnalysisIn the present paper, we introduce the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type for the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi +2 more
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ON FAMILIES IN DIFFERENTIAL GEOMETRY [PDF]
International Journal of Geometric Methods in Modern Physics, 2013 Families of objects appear in several contexts, like algebraic topology, theory of deformations, theoretical physics, etc. An unified coordinate-free algebraic framework for families of geometrical quantities is presented here, which allows one to work without introducing ad hoc spaces, by using the language of differential calculus over commutative ...
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Hypergraph p-Laplacian: A Differential Geometry View [PDF]
AAAI Conference on Artificial Intelligence, 2017 The graph Laplacian plays key roles in information processing of relational data, and has analogies with the Laplacian in differential geometry.
Shota Saito, D. Mandic, Hideyuki Suzuki
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Evaluation of Linearization Methods for Control of the Pendubot
Applied 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
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Differential Invariants in a General Differential Geometry [PDF]
Proceedings of the National Academy of Sciences, 1937 The study of general differential geometries in which the "geometric space" is a Hausdorff topological space~), while the "coordinate space" i~ a Banach space 3), has been initiated recently by one of us ~). The theory includes as special cases not only the finite dimensional but also the infinite dimensional 5) Riemannian and Non-Riemannian geometries.
MichaI, A.D., Hyers, D.H.
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On the differential geometry of [PDF]
Journal of Physics A: Mathematical and General, 1998 The differential calculus on the quantum supergroup GL$_q(1| 1)$ was introduced by Schmidke {\it et al}. (1990 {\it Z. Phys. C} {\bf 48} 249). We construct a differential calculus on the quantum supergroup GL$_q(1| 1)$ in a different way and we obtain its quantum superalgebra. The main structures are derived without an R-matrix.
Sultan A. Çelik, Salih Celik
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Nonlinear Observability Algorithms with Known and Unknown Inputs: Analysis and Implementation
Mathematics, 2020 The observability of a dynamical system is affected by the presence of external inputs, either known (such as control actions) or unknown (disturbances).
Nerea Martínez, Alejandro F. Villaverde
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Differential geometry via infinitesimal displacements
, 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
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AV-differential geometry and Newtonian mechanics [PDF]
, 2006 A frame independent formulation of analytical mechanics in the Newtonian space-time is presented The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional ...
Grabowska, Katarzyna, Urbanski, Pawel
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Principles of Differential Geometry
arXiv: History and Overview, 2016 The present text is a collection of notes about differential geometry prepared to some extent as part of tutorials about topics and applications related to tensor calculus. They can be regarded as continuation to the previous notes on tensor calculus as they are based on the materials and conventions given in those documents.
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