Results 21 to 30 of about 81,221 (296)
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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Design of developable surfaces using the given data points
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2021 Many products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve.
Kotaro YOSHIDA +4 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 ...
openaire +3 more sources
Physics-to-Geometry Transformation to Construct Identities between Reynolds Stresses
Mathematics, 2023 Modeling has become firmly established as a methodology to close the Reynolds-averaged Navier–Stokes (RANS) equations, owing to theoretical and empirical efforts towards a complete formulation of the Reynolds stress tensor and, recently, breakthroughs in
Sungmin Ryu
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Entropy, 2023 In this paper, we construct the metric tensor and volume for the manifold of purifications associated with an arbitrary reduced density operator ρS. We also define a quantum coarse-graining (CG) to study the volume where macrostates are the manifolds of ...
Shannon Ray +3 more
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Input-output Feedback Linearization Control for SM-PMSM [PDF]
E3S Web of Conferences, 2023 This paper introduces a velocity control strategy for Surface-Mounted Permanent Magnet Synchronous Motors SM-PMSM using exact linearization and input-output decoupling techniques, which are rooted in the principles of differential geometry.
Abdelhamid Senhaji +4 more
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Differential Geometry of Ice Flow
Frontiers in Earth Science, 2018 Flowlines on ice sheets and glaciers form complex patterns. To explore their role in ice routing and extend the language for studying such patterns, we develop a theory of flow convergence and curvature in plan view.
Felix S. L. Ng +2 more
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Suitable model for the calculation of the correlation between the real and the average specific heat capacity and possibilities of its application [PDF]
Hemijska Industrija, 2013 Starting from the definition of the average specific heat capacity for chosen temperature range, the analytic dependence between the real and the mean specific heat capacities is obtained using differential and integral calculation.
Pejović Branko B. +3 more
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Differential geometry of collective models
AIMS Mathematics, 2019 The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
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