In theoretical physics, general covariance, also known as diffeomorphism covariance or general invariance, consists of the invariance of the form of physical...
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Covariance in probability theory and statistics is a measure of the joint variability of two random variables. The sign of the covariance, therefore,...
29 KB (4,739 words) - 20:20, 24 October 2024
and statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square...
35 KB (5,447 words) - 03:53, 8 October 2024
constructed using tensors, general relativity exhibits general covariance: its laws—and further laws formulated within the general relativistic framework—take...
193 KB (22,609 words) - 01:48, 31 October 2024
revisited the concept of general covariance and discovered that the hole argument was flawed. When Einstein realized that general covariance was tenable, he quickly...
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through space". Lorentz covariance, a related concept, is a property of the underlying spacetime manifold. Lorentz covariance has two distinct, but closely...
21 KB (2,917 words) - 00:21, 24 September 2024
the importance of general covariance for the development of general relativity, and took the position that the general covariance of his 1915 theory...
91 KB (10,692 words) - 10:06, 18 August 2024
together, and may refer to: Covariance matrix, a matrix of covariances between a number of variables Covariance or cross-covariance between two random variables...
2 KB (285 words) - 12:08, 16 November 2019
Gauge symmetries can be viewed as analogues of the principle of general covariance of general relativity in which the coordinate system can be chosen freely...
47 KB (6,766 words) - 07:11, 30 October 2024
statistics, sometimes the covariance matrix of a multivariate random variable is not known but has to be estimated. Estimation of covariance matrices then deals...
25 KB (3,930 words) - 21:12, 2 August 2024