relativity, a four-tensor is an abbreviation for a tensor in a four-dimensional spacetime. General four-tensors are usually written in tensor index notation...
8 KB (1,365 words) - 23:05, 20 December 2023
(electromagnetic tensor, Maxwell tensor, permittivity, magnetic susceptibility, ...), and general relativity (stress–energy tensor, curvature tensor, ...). In...
69 KB (9,357 words) - 21:25, 18 June 2025
electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a...
18 KB (3,463 words) - 17:22, 24 April 2025
learning, the term tensor informally refers to two different concepts (i) a way of organizing data and (ii) a multilinear (tensor) transformation. Data...
31 KB (4,104 words) - 16:37, 16 June 2025
differential geometry, the Einstein tensor (named after Albert Einstein; also known as the trace-reversed Ricci tensor) is used to express the curvature...
10 KB (1,682 words) - 23:32, 25 May 2025
stress-energy tensor The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor physical quantity...
25 KB (4,040 words) - 17:23, 6 February 2025
differential geometry, a tensor density or relative tensor is a generalization of the tensor field concept. A tensor density transforms as a tensor field when passing...
23 KB (3,727 words) - 16:43, 13 June 2025
Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic. The Weyl tensor differs from the Riemann...
10 KB (1,742 words) - 18:26, 17 March 2025
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 (8,863 words) - 21:58, 19 May 2025
Lorentz covariance (section Four-tensors)
the (transformational) nature of a Lorentz tensor[clarification needed] can be identified by its tensor order, which is the number of free indices it...
21 KB (2,917 words) - 00:21, 24 September 2024
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...
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Ricci calculus (redirect from Tensor calculus)
notation and manipulation for tensors and tensor fields on a differentiable manifold, with or without a metric tensor or connection. It is also the modern...
46 KB (7,275 words) - 11:43, 2 June 2025
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) - 04:43, 14 March 2025
by a four-dimensional differentiable manifold M {\displaystyle M} and the metric tensor is given as a covariant, second-degree, symmetric tensor on M...
15 KB (2,490 words) - 06:26, 26 December 2024
t^{2}}-\nabla ^{2}.} The signs in the following tensor analysis depend on the convention used for the metric tensor. The convention used here is (+ − − −), corresponding...
25 KB (4,014 words) - 10:25, 17 May 2025
first-generation Tensor chip debuted on the Pixel 6 smartphone series in 2021, and was succeeded by the Tensor G2 chip in 2022, G3 in 2023 and G4 in 2024. Tensor has...
45 KB (2,847 words) - 02:41, 7 June 2025
in the form of a rank two tensor – the electromagnetic tensor. The 16 contravariant components of the electromagnetic tensor, using Minkowski metric convention...
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tensor (symbol σ {\displaystyle {\boldsymbol {\sigma }}} , named after Augustin-Louis Cauchy), also called true stress tensor or simply stress tensor...
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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...
35 KB (5,077 words) - 15:22, 28 May 2025
theoretical physics, the spin tensor is a quantity used to describe the rotational motion of particles in spacetime. The spin tensor has application in general...
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French verbs (redirect from French Present conditional tense)
additional category. The eight simple forms can also be categorized into four tenses (future, present, past, and future-of-the-past), or into two aspects...
30 KB (3,490 words) - 00:52, 16 March 2025
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 (5,174 words) - 14:49, 2 May 2025
Relativistic angular momentum (redirect from Angular momentum tensor)
of point-like particles, the angular momentum tensor is expressed in terms of the stress–energy tensor of the rotating object. In special relativity alone...
57 KB (10,985 words) - 12:25, 18 May 2025
electrostriction coefficient is a rank four tensor ( Q i j k l {\displaystyle Q_{ijkl}} ), relating the rank two strain tensor ( ε i j {\displaystyle \varepsilon...
5 KB (546 words) - 17:08, 6 September 2024
The viscous stress tensor is a tensor used in continuum mechanics to model the part of the stress at a point within some material that can be attributed...
17 KB (2,581 words) - 17:04, 14 March 2025
graphics, a tensor operator generalizes the notion of operators which are scalars and vectors. A special class of these are spherical tensor operators which...
52 KB (9,007 words) - 23:31, 25 May 2025
Tensor Trucks is an American skateboarding truck company founded and designed by professional skateboarder, Rodney Mullen, in 2000. Tensor's parent company...
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electromagnetic stress–energy tensor is the contribution to the stress–energy tensor due to the electromagnetic field. The stress–energy tensor describes the flow...
8 KB (1,538 words) - 21:51, 22 March 2025
curvature tensor (or Kaluza–Klein–Riemann–Christoffel curvature tensor) is the generalization of the four-dimensional Riemann curvature tensor (or Riemann–Christoffel...
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differential geometry, the torsion tensor is a tensor that is associated to any affine connection. The torsion tensor is a bilinear map of two input vectors...
27 KB (4,375 words) - 18:08, 28 January 2025