Results 231 to 240 of about 20,979 (269)
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1994
Abstract WE are accustomed to deal with certain physical quantities such as mass and energy which are in no way connected with the orientation of our coordinate system and which have no directional properties. Such quantities a.re sea.la.rs, or tensors of rank zero.
D M Brink, G R Satchler
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Abstract WE are accustomed to deal with certain physical quantities such as mass and energy which are in no way connected with the orientation of our coordinate system and which have no directional properties. Such quantities a.re sea.la.rs, or tensors of rank zero.
D M Brink, G R Satchler
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Tensor SOM and tensor GTM: Nonlinear tensor analysis by topographic mappings
Neural Networks, 2016In this paper, we propose nonlinear tensor analysis methods: the tensor self-organizing map (TSOM) and the tensor generative topographic mapping (TGTM). TSOM is a straightforward extension of the self-organizing map from high-dimensional data to tensorial data, and TGTM is an extension of the generative topographic map, which provides a theoretical ...
Tohru Iwasaki, Tetsuo Furukawa
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Tensor Operator Methods and the Tensor Force
Physical Review, 1956Tensor operator methods are applied to find the matrix elements of the two-nucleon tensor force between states of two inequivalent nucleons in $\mathrm{LS}$ coupling. The results are used to obtain the direct and exchange terms arising from a tensor-force interaction between states of a shell closed except for a single vacancy and external inequivalent
Hope, J., Longdon, L. W.
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Smooth Tensor Product for Tensor Completion
IEEE Transactions on Image ProcessingLow-rank tensor completion (LRTC) has shown promise in processing incomplete visual data, yet it often overlooks the inherent local smooth structures in images and videos. Recent advances in LRTC, integrating total variation regularization to capitalize on the local smoothness, have yielded notable improvements.
Tongle Wu, Jicong Fan 0001
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The Derivation of Tensors from Tensor Functions
American Journal of Mathematics, 1931Einfaches Nachrechnen ergibt den Satz: gegeben sei ein Tensor (bzw. eine Invariante) als Funktion eines zweiten Tensors. Differenziert man seine Komponenten nach denjenigen des unabhängigen, so erhält man wiederum einen Tensor, und zwar ergibt die Differentiation nach einem kovarianten Index einen neuen kontravarianten Index und umgekehrt.
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On Tensor-Train Ranks of Tensorized Polynomials
2020Discretization followed by tensorization (mapping from low-dimensional to high-dimensional data) can be used to construct low-parametric approximations of functions. For example, a function f defined on [0, 1] may be mapped to a d-dimensional tensor \(A \in \mathbb {R}^{b\times \dots \times b}\) with elements \(A(i_1,\dots ,i_d) = f(i_1b^{-1} + \dots +
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QN-tensor and tensor complementarity problem
Optimization Letters, 2022Ge Li 0004, Jicheng Li
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Sparse tensor storage by tensor unfolding
Proceedings of the 37th ACM/SIGAPP Symposium on Applied Computing, 2022K. M. Azharul Hasan, Md. Safayet Hossain
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Foundations of Tensor Analysis – Tensor Algebra and Tensor Calculus
2011Continuum mechanics has been formulated mainly in the mathematical framework of tensor algebra and tensor calculus. The accurate understanding and the proper application of continuum damage mechanics, therefore, necessitate sound foundation of this mathematical subject.
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