• 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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  • probability theory and statistics, covariance is a measure of the joint variability of two random variables. The sign of the covariance, therefore, shows the tendency...
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  • 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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  • constructed using tensors, general relativity exhibits general covariance: its laws—and further laws formulated within the general relativistic framework—take...
    194 KB (22,691 words) - 19:30, 24 May 2025
  • Thumbnail for Gauge theory
    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...
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  • the importance of general covariance for the development of general relativity, and took the position that the general covariance of his 1915 theory...
    90 KB (10,452 words) - 19:35, 9 May 2025
  • Thumbnail for Gravitational anomaly
    mechanics — usually a one-loop diagram—that invalidates the general covariance of a theory of general relativity combined with some other fields.[citation needed]...
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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
  • 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
  • Thumbnail for Mixed anomaly
    diagram — that implies that the classically valid general covariance and gauge symmetry of a theory of general relativity combined with gauge fields and fermionic...
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  • In physics, the principle of covariance emphasizes the formulation of physical laws using only those physical quantities the measurements of which the...
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  • Thumbnail for General relativity priority dispute
    doi:10.1093/bjps/37.2.232. Norton, John D (1993). "General covariance and the foundations of general relativity: eight decades of dispute" (PDF). Rep....
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  • symmetry (general covariance implies a conserved stress tensor; a "gravitational anomaly" represents a quantum breakdown of general covariance, and should...
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  • an effect in quantum mechanics that invalidates the general covariance of some theories of general relativity Konishi anomaly, the violation of the conservation...
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  • Thumbnail for Wheeler–DeWitt equation
    (instead of infinitely many of them). In fact, the principle of general covariance in general relativity implies that global evolution per se does not exist;...
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  • 'general covariance' was used in the early formulation of general relativity, but the principle is now often referred to as 'diffeomorphism covariance'...
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  • Thumbnail for Pearson correlation coefficient
    the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such...
    58 KB (8,398 words) - 22:46, 30 May 2025
  • Thumbnail for Covariance matrix
    and statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square...
    37 KB (5,799 words) - 21:03, 14 April 2025
  • a given topology. Causal dynamical triangulation Coordinate-free General covariance Quantum field theory Rickles, Dean (2008). "Who's Afraid of Background...
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  • equation in manifestly covariant form is useful because it guarantees general covariance upon quick inspection. If an equation is manifestly covariant, and...
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  • Thumbnail for Special relativity
    ISBN 978-0-321-49575-4. E. J. Post (1962). Formal Structure of Electromagnetics: General Covariance and Electromagnetics. Dover Publications Inc. ISBN 978-0-486-65427-0...
    186 KB (25,022 words) - 00:07, 28 May 2025
  • quantity Covariance group General covariance Eigenvalues and eigenvectors Invariants of tensors Killing form Physical constant Principle of covariance Poincaré...
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  • Thumbnail for Kalman filter
    " Regardless of Gaussianity, however, if the process and measurement covariances are known, then the Kalman filter is the best possible linear estimator...
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  • Analysis of covariance (ANCOVA) is a general linear model that blends ANOVA and regression. ANCOVA evaluates whether the means of a dependent variable...
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  • Thumbnail for Symmetry (physics)
    Charge Coordinate-free Covariance and contravariance Fictitious force Galilean invariance Principle of covariance General covariance Harmonic coordinate...
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  • method should return a more specific type (return type covariance) and accept a more general argument (parameter type contravariance). In UML notation...
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  • Thumbnail for Albert Einstein
    invariance, but general covariance makes translation invariance into something of a gauge symmetry. The energy and momentum derived within general relativity...
    227 KB (22,917 words) - 03:50, 30 May 2025
  • p. 64. ISBN 0-521-45261-9. John D. Norton (1993). General covariance and the foundations of general relativity: eight decades of dispute, Rep. Prog. Phys...
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  • In statistics, the Matérn covariance, also called the Matérn kernel, is a covariance function used in spatial statistics, geostatistics, machine learning...
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  • Thumbnail for Introduction to gauge theory
    referred to as general covariance, and equations with this property are referred to as written in the covariant form. General covariance is a special case...
    31 KB (4,360 words) - 20:45, 7 May 2025