If a tensor A is defined on a vector fields set X(M) over a module M, we call A a tensor field on M. Many mathematical structures called "tensors" are...
22 KB (3,527 words) - 00:22, 24 September 2024
electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a...
16 KB (2,787 words) - 13:34, 31 October 2024
(electromagnetic tensor, Maxwell tensor, permittivity, magnetic susceptibility, ...), and general relativity (stress–energy tensor, curvature tensor, ...). In...
69 KB (9,351 words) - 11:28, 12 October 2024
In science, a field is a physical quantity, represented by a scalar, vector, or tensor, that has a value for each point in space and time. An example of...
36 KB (4,362 words) - 05:25, 25 October 2024
numbers), and a 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...
56 KB (8,866 words) - 08:52, 9 August 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) - 15:42, 3 October 2024
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 (4,068 words) - 12:23, 31 October 2024
is a vector field. If T {\displaystyle {\boldsymbol {T}}} is a tensor field of order n > 1 then the divergence of the field is a tensor of order n− 1...
44 KB (9,054 words) - 03:06, 18 April 2024
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) - 13:51, 17 October 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 (1,747 words) - 15:24, 19 July 2024