Results 31 to 40 of about 3,888,982 (268)
Multilocal invariants for the classical groups
International Journal of Mathematics and Mathematical Sciences, 2003 Multilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way.
Paul F. Dhooghe
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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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Exterior Differential Systems for Yang-Mills Theories [PDF]
, 2008 Exterior differential systems are given, and their Cartan characters calculated, for Maxwell and SU(2)-Yang-Mills equations in dimensions from three to six.Comment: This is a contribution to the Special Issue "Elie Cartan and Differential Geometry ...
Estabrook, Frank B.
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Explicit Information Geometric Calculations of the Canonical Divergence of a Curve
Mathematics, 2022 Information geometry concerns the study of a dual structure (g,∇,∇*) upon a smooth manifold M. Such a geometry is totally encoded within a potential function usually referred to as a divergence or contrast function of (g,∇,∇*).
Domenico Felice, Carlo Cafaro
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POINTLESS SPACES IN GENERAL RELATIVITY [PDF]
, 1995 The new approach to quantize the gravity based on the notion of differential algebra is suggested. It is shown that the differential geometry of this object can not be described in terms of points.
C. J. Isham +10 more
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