Results 71 to 80 of about 751,143 (344)
Contraction and decomposition matrices for vacuum diagrams [PDF]
, 2001 Tensor reduction of vacuum diagrams uses contraction and decomposition matrices. We present general recurrence relations for the calculation of those matrices and an explicit formula for the 3-loop decomposition matrix and its determinant.Comment: 10 ...
Knecht, K., Veschelde, H.
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, 2003 A generalized version of the Einstein equations in the 4-index form, containing the Riemann tensor linearly, is derived. It is shown, that the gravitational energy-momentum density tensor outside a source is represented across the Weyl tensor vanishing ...
Zakir, Zahid
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Contractive homomorphisms and tensor product norms [PDF]
Integral Equations and Operator Theory, 1995 For any complex domain \(\Omega\), one can ask if all contractive algebra homomorphisms of \({\mathcal A}(\Omega)\) (into the algebra of Hilbert space operators) are completely contractive or not. By Ando's Theorem, this has an affirmative answer for \(\Omega= \mathbb{D}^2\), the bi-disc -- while the answer is unknown for \(\Omega= (\ell^1(2))_1\), the
Bagchi, Bhaskar, Misra, Gadadhar
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Discrete Riemannian Geometry [PDF]
, 1998 Within a framework of noncommutative geometry, we develop an analogue of (pseudo) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation.
Dimakis, A., Muller-Hoissen, F.
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Three-dimensional isometric tensor networks
Physical Review Research, 2021 Tensor network states are expected to be good representations of a large class of interesting quantum many-body wave functions. In higher dimensions, their utility is however severely limited by the difficulty of contracting the tensor network, an ...
Maurits S. J. Tepaske, David J. Luitz
doaj +1 more source
SNUPN‐Related Muscular Dystrophy: Novel Phenotypic, Pathological and Functional Protein Insights
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective SNUPN‐related muscular dystrophy or LGMDR29 is a new entity that covers from a congenital or childhood onset pure muscular dystrophy to more complex phenotypes combining neurodevelopmental features, cataracts, or spinocerebellar ataxia. So far, 12 different variants have been described.
Nuria Muelas +18 more
wiley +1 more source
Spectral asymptotics for contracted tensor ensembles
Electronic Journal of Probability, 2023 v3: updated to incorporate feedback from referees, including a shorter proof of Proposition 4.2; 31 pages, 7 ...
Au, Benson, Garza-Vargas, Jorge
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Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control
Advanced Engineering Materials, EarlyView.This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian +4 more
wiley +1 more source
Maxwell's equations as a special case of deformation of a solid lattice in Euler's coordinates [PDF]
, 2016 It is shown that the set of equations known as Maxwell's equations perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices, containing ...
Gremaud, G.
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Advanced Engineering Materials, EarlyView.This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 more
wiley +1 more source