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rbpCNN: a biophysics-informed deep learning model for predicting piRNA and mRNA interactions. [PDF]
Gürhanlı A +5 more
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Reconstructing Spatial Localization Error Maps via Physics-Informed Tensor Completion for Passive Sensor Systems. [PDF]
Zhang Z, Huang Z, Wang C, Jiang Q.
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Origin of the <sup>31</sup>P NMR Chemical Shift in Lewis Acid Adducts of Triethylphosphine Oxide. Does the Gutmann-Beckett Method Relate to Lewis Acid Strength? [PDF]
Kolganov AA +3 more
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Relative tensor calculus and the tensor time derivative
Foundations of Physics, 1974A relative tensor calculus is formulated for expressing equations of mathematical physics. A tensor time derivative operator ▽ b a is defined which operates on tensors λia...ib. Equations are written in a rigid, flat, inertial or other coordinate system a, altered to relative tensor notation, and are thereby expressed in general flowing coordinate ...
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Results of Relativity without the Theory of Tensors
The Mathematical Gazette, 1934The Special Theory of Relativity leads to the following conclusions : (i) The three dimensions of space and one of time constitute an isotropic fourfold, in which there is no unique time-direction, just as there is no unique space direction.
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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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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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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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