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ExTensor: An Accelerator for Sparse Tensor Algebra
Micro, 2019Generalized tensor algebra is a prime candidate for acceleration via customized ASICs. Modern tensors feature a wide range of data sparsity, with the density of non-zero elements ranging from 10-6% to 50%.
Kartik Hegde +7 more
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Harvard Review of Psychiatry, 2019
Frequently implicated in psychotic spectrum disorders, the amygdala serves as an important hub for elucidating the convergent and divergent neural substrates in schizophrenia and bipolar disorder, the two most studied groups of psychotic spectrum ...
N. Ho +5 more
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Frequently implicated in psychotic spectrum disorders, the amygdala serves as an important hub for elucidating the convergent and divergent neural substrates in schizophrenia and bipolar disorder, the two most studied groups of psychotic spectrum ...
N. Ho +5 more
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Tensor induction of relative syzygies
Journal für die reine und angewandte Mathematik (Crelles Journal), 2000Let \(\mathcal O\) be a complete Noetherian local ring with residue field \(k\) of characteristic \(p>0\), and \(P\) a \(p\)-group. An \(\mathcal O\)-algebra of the form \(A=\text{End}_{\mathcal O}(M)\), where \(M\) is an endopermutation \({\mathcal O}P\)-lattice having an indecomposable direct summand with vertex \(P\), is called a Dade \(P\)-algebra.
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Spacetime killing tensors in general relativity
2021This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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Canonical superenergy tensors in general relativity
International Journal of Theoretical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2009
Abstract Tensors in a general coordinate system are introduced. When a tensor is expanded in terms of a set of basis (or inverse basis) vectors, the coefficients of expansion are its contravariant (or covariant) components with respect to this basis.
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Abstract Tensors in a general coordinate system are introduced. When a tensor is expanded in terms of a set of basis (or inverse basis) vectors, the coefficients of expansion are its contravariant (or covariant) components with respect to this basis.
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2009
Abstract Differentiation of tensor components in a curved space must be handled with extra care. By adding another term (related to Christoffel symbols) to the ordinary derivative operator, we can form a “covariant derivative”; such a differentiation operation does not spoil the tensor property.
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Abstract Differentiation of tensor components in a curved space must be handled with extra care. By adding another term (related to Christoffel symbols) to the ordinary derivative operator, we can form a “covariant derivative”; such a differentiation operation does not spoil the tensor property.
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Relativity, Tensors, and Curvature
2011Heuristics of Einstein's Theory What does g00 have to do with gravitation? The Metric Potentials Einstein's general theory of relativity is primarily a replacement for Newtonian gravitation and a generalization of special relativity. It cannot be “derived”; we can only speculate, with Einstein, by heuristic reasoning, how such a generalization ...
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An Effective Tensor Completion Method Based on Multi-linear Tensor Ring Decomposition
Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, 2018By considering the balance unfolding scheme does help to catch the global information for tensor completion and the recently proposed tensor ring decomposition, in this paper a weighted multilinear tensor ring decomposition model is proposed for tensor ...
Jinshi Yu +3 more
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The relative deformation tensor for small displacements in general relativity
General Relativity and Gravitation, 1989By means of the world-function, an approximate formula for the relative deformation tensor of an elastic continuum in a space-time of finite curvature is obtained. The coordinate displacements are supposed to be small with respect to the characteristic measure of the geodesic joining an arbitrary point of that continuum and a fixed point of the space ...
Gambi, J. M. +2 more
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