two vectors is sometimes called an elementary tensor or a decomposable tensor. The elementary tensors span V ⊗ W {\displaystyle V\otimes W} in the sense... 50 KB (8,640 words) - 22:26, 6 April 2024 |
Stress tensor may refer to: Cauchy stress tensor, in classical physics Stress deviator tensor, in classical physics Piola–Kirchhoff stress tensor, in continuum... 624 bytes (86 words) - 02:34, 11 February 2021 |
tensor (symbol σ {\displaystyle {\boldsymbol {\sigma }}} , named after Augustin-Louis Cauchy), also called true stress tensor or simply stress tensor... 57 KB (8,309 words) - 20:58, 25 February 2024 |
and physics, a tensor field assigns a tensor to each point of a mathematical space (typically a Euclidean space or manifold). Tensor fields are used... 21 KB (3,326 words) - 15:56, 27 September 2023 |
metric field on M consists of a metric tensor at each point p of M that varies smoothly with p. A metric tensor g is positive-definite if g(v, v) > 0 for... 56 KB (8,861 words) - 18:17, 26 April 2024 |
mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the... 19 KB (2,883 words) - 23:28, 16 April 2024 |
elasticity tensor is a fourth-rank tensor describing the stress-strain relation in a linear elastic material. Other names are elastic modulus tensor and stiffness... 20 KB (3,399 words) - 12:38, 29 April 2024 |
The tensor fasciae latae (or tensor fasciæ latæ or, formerly, tensor vaginae femoris) is a muscle of the thigh. Together with the gluteus maximus, it acts... 8 KB (953 words) - 17:10, 5 February 2024 |
Ricci curvature (redirect from Ricci curvature tensor) relationship between the Ricci tensor and the matter content of the universe. Like the metric tensor, the Ricci tensor assigns to each tangent space of... 35 KB (5,929 words) - 21:44, 21 March 2024 |
Einstein field equations (redirect from Mass-energy tensor) Einstein in 1915 in the form of a tensor equation which related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum... 34 KB (5,088 words) - 17:20, 27 March 2024 |
Look up tense in Wiktionary, the free dictionary. Tense may refer to: Tense, a state of muscle contraction Grammatical tense, a property of verbs indicating... 851 bytes (93 words) - 00:19, 2 September 2022 |
In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual. In components... 13 KB (1,882 words) - 15:56, 12 January 2024 |
mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multilinear... 11 KB (1,704 words) - 14:03, 15 January 2024 |
tensor") may be analyzed either by artificial neural networks or tensor methods. Tensor decomposition can factorize data tensors into smaller tensors... 28 KB (3,635 words) - 03:57, 23 March 2024 |
Tensor Processing Unit (TPU) is an AI accelerator application-specific integrated circuit (ASIC) developed by Google for neural network machine learning... 31 KB (2,887 words) - 14:47, 30 April 2024 |
In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a manifold... 13 KB (1,906 words) - 14:52, 10 February 2024 |
In multilinear algebra, a tensor decomposition is any scheme for expressing a "data tensor" (M-way array) as a sequence of elementary operations acting... 7 KB (755 words) - 20:41, 9 April 2024 |
see IPA § Brackets and transcription delimiters. In phonology, tenseness or tensing is, most broadly, the pronunciation of a sound with greater muscular... 7 KB (957 words) - 02:57, 7 August 2023 |
universal property of the tensor product of vector spaces extends to more general situations in abstract algebra. The tensor product of an algebra and... 48 KB (8,467 words) - 22:58, 6 April 2024 |
Finite strain theory (redirect from Green tensor) deformation tensors. In 1839, George Green introduced a deformation tensor known as the right Cauchy–Green deformation tensor or Green's deformation tensor (the... 50 KB (10,030 words) - 20:03, 6 February 2024 |
Levi-Civita symbol (redirect from Completly anti-symmetric tensor) independent of any metric tensor and coordinate system. Also, the specific term "symbol" emphasizes that it is not a tensor because of how it transforms... 30 KB (5,171 words) - 11:05, 30 April 2024 |
Stress (mechanics) (redirect from Piola–Kirchoff stress tensor) the first and second Piola–Kirchhoff stress tensors, the Biot stress tensor, and the Kirchhoff stress tensor. Bending Compressive strength Critical plane... 44 KB (5,558 words) - 10:22, 21 March 2024 |
objects related to a vector space. Tensor may also refer to: Tensor (intrinsic definition) Tensor field Tensor product Tensor (obsolete), the norm used on the... 1 KB (195 words) - 05:11, 4 February 2024 |