Examples of using Tensors in English and their translations into Russian
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Tensors of the vocal cords: the cricothyroid muscle.
NMF extends beyond matrices to tensors of arbitrary order.
Tensors in mechanics of a firm and deformable body in Russian.
GR is a tensor theory, the equations all contain tensors. .
Symmetric tensors occur widely in engineering, physics and mathematics.
Other extensions of NMF include joint factorisation of several data matrices and tensors where some factors are shared.
Built-in symbolic tensors with support for arrays of any rank, dimension and symmetry.
Hoffman wrote the Introduction to the second edition of Kron's book, now titled Tensors for Circuits(1959), distributed by Dover Publications.
Actually, tensors flow in the graph from node to node, thus making the name of the library sound logical.
Data in TensorFlow are represented as tensors multidimensional and dynamically sized data arrays.
The first class of theories rely on modified mathematicaltheories of gravity(or gravitation) in which two metric tensors are used instead of one.
Coaxiality of stress, strain and velocity tensors leads to model predictions close to results describing the behavior of viscous fluid.
On the other hand, general relativity,from the outset, relies heavily on 4‑vectors, and more generally tensors, representing physically relevant entities.
But once understood, 4‑vectors, and more generally tensors, greatly simplify the mathematics and conceptual understanding of special relativity.
To calculate the matrix components of effective elastic compliances(2)we used averaged over representative volume strain-stress tensors obtained in finite-element equations.
Relating these via equations that do not rely on specific coordinates requires tensors, capable of connecting such 4‑vectors even within a curved spacetime, and not just within a flat one as in special relativity.
Looking back, it is possible to notice: natural sciences and the mathematician have passed a huge way from arithmetic and two-place logic up to infinity, irrationalities, transcendence, multidimensional, continuum, integrated approach,curve spaces, tensors….
Problem of establishing of complete systems of irreducible objective strain and extra-strain tensors for complex continuum immersed in an external plane space is considered.
There were speculative theories,(tensors and spinors have infinite counterparts in the expansors of Dirac and the expinors of Harish-Chandra) consistent with relativity and quantum mechanics, but they have found no proven physical application.
Later in this article you will see scalar-tensor theories that contain a scalar field in addition to the tensors of GR, and other variants containing vector fields as well have been developed recently.
Let V be a vector space over a field K. For any nonnegative integer k, we define the kth tensor power of V to be the tensor product of V with itself k times: T k V V⊗ k V⊗ V⊗⋯⊗ V.{\displaystyle T^{ k} V= V^{\ otimes k}=V\otimes V\otimes\cdots\otimes V.} That is,TkV consists of all tensors on V of order k.
Let R i j k h{\displaystyle R_{ijk}^{h}}and P i j k h{\displaystyle P_{ijk}^{h}} be the Riemann curvature tensors calculated from g i j{\displaystyle g_{ij}} and γ i j,{\displaystyle\gamma_{ij},} respectively.
Vector analysis: vector and tensor fields, gradient, divergency, rotor.
The tensor matrix is forming.
The tensor matrix is starting to form.
Learning and inference methods for probabilistic models using tensor decomposition.
He is also a very good tensor, moisturizing and healing of the skin.
The proton-neutron tensor force makes a decisive contribution.
Tensor fascia antibrachii removed.
Description This item consists of the M. tensor fasciae latae from the rump Item No. 2131.