Generalized orthogonal group
Generalized orthogonal group In mathematics, the generalized orthogonal group, O(p, q) is the ...
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Orthogonal group
Orthogonal group In mathematics, the orthogonal group of degree n over a field F ... written as O(n,F)) is the group of n-by-n orthogonal matrices ...
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Orthogonal group   (translated from Spanish)
Orthogonal group In mathematics , orthogonal group of degree n on body F (written like Or(n, F)) it is group of orthogonal matrices n by n ...
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Orthogonal matrix
Orthogonal matrix In matrix theory, a real orthogonal matrix is a square matrix Q whose ... T = I\,\! . Overview The definition of orthogonal matrix is more restrictive than that of ... may have fewer columns than rows. An orthogonal matrix is also the real specialization of ... matrices with entries from any field. However, orthogonal matrices arise naturally from inner products, ...
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Rotation group
Rotation group In mechanics and geometry, the rotation group is the set of all rotations about ... all rotations the mathematical structure of a group. Moreover, the rotation group has a natural manifold structure for which the group operations are smooth, so that it ...
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Symmetry group
Symmetry group This article is about symmetry groups, abstract algebraic structures. See Symmetry group (disambiguation) for other meanings. A tetrahedron can ... The 12 rotations form the rotation (symmetry) group of the figure. The symmetry group of an object (image, signal, etc., e ... in 1D, 2D or 3D) is the group of all isometries under which it ...
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Lorentz group
Lorentz group In physics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime ... mathematical form of the kinematical laws of special relativity, Maxwell's field equations in the ... invariant under Lorentz transformations. Therefore the Lorentz group can be said to express a ...
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Euclidean group
Euclidean group In mathematics, the Euclidean group E(n), sometimes called ISO(n) or similar, is the symmetry group of n-dimensional Euclidean space. Its elements ... — implicitly, long before the concept of group was known. Subgroup structure, matrix and vector representation The Euclidean group is a subgroup of the group ...
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List of Lie group topics
List of Lie group topics This is a list of Lie group topics, by Wikipedia page. Examples See Table ... Lie groups for a list General linear group, special linear group Unitary group, special unitary group SU( ...
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Representation of group   (translated from Spanish)
Representation of group In the study of groups mathematicians , one representation of group it is a "description" of a group as concrete group of transformations (or group of automorfismos ) of a certain mathematical ...
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