especially in multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical...
34 KB (5,426 words) - 19:30, 21 September 2024
covariance or contravariance in Wiktionary, the free dictionary. Covariance and contravariance may refer to: Covariance and contravariance of vectors...
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Functor (redirect from Covariance and contravariance of functors)
general and are thus contravariant, whereas vectors in general are covariant since they can be pushed forward. See also Covariance and contravariance of vectors...
24 KB (3,513 words) - 02:56, 11 August 2024
Einstein notation (section Vector representations)
variance of the object, and one cannot ignore the distinction; see Covariance and contravariance of vectors. In the above example, vectors are represented...
14 KB (1,960 words) - 21:10, 3 October 2024
use of a column vector for input to matrix transformation. Covariance and contravariance of vectors Index notation Vector of ones Single-entry vector Standard...
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(covariance and contravariance of vectors) in passing from one coordinate system to the other. Vector fields are often discussed on open subsets of Euclidean...
28 KB (4,072 words) - 00:20, 24 September 2024
components of v. In some advanced contexts, a row and a column vector have different meaning; see covariance and contravariance of vectors for more. A vector in...
24 KB (3,265 words) - 23:20, 10 September 2024
so it is easy to move vectors from one tangent space to another. Parallel transport of tangent vectors is a way of moving vectors from one tangent space...
20 KB (2,949 words) - 14:52, 7 September 2024
Differentiable curve (redirect from Curvature vector)
Frenet–Serret formulas are a set of ordinary differential equations of first order. The solution is the set of Frenet vectors describing the curve specified...
23 KB (3,326 words) - 14:19, 30 May 2024
between vectors and points Banach space Clifford algebra Complex number Coordinate system Covariance and contravariance of vectors Four-vector, a non-Euclidean...
61 KB (9,100 words) - 00:24, 24 September 2024