transformation group

  • 21Special affine group — In the mathematical study of transformation groups, the special affine group is the group of affine transformations of a fixed affine space which preserve volume.On Rn, every special affine transformation has the form:mathbf{x}mapsto… …

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  • 22Ehlers group — In mathematical physics, the Ehlers group, named after Jürgen Ehlers, is a finite dimensional transformation group of stationary vacuum spacetimes which maps solutions of Einstein s field equations to other solutions. It has since found a number… …

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  • 23Symmetry group — Not to be confused with Symmetric group. This article is about the abstract algebraic structures. For other meanings, see Symmetry group (disambiguation). A tetrahedron can be placed in 12 distinct positions by rotation alone. These are… …

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  • 24Lorentz group — Group theory Group theory …

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  • 25General linear group — Group theory Group theory …

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  • 26Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …

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  • 27Operational transformation — Operation Transformation redirects here. For the cross media event, see Operation Transformation (TV series). Operational transformation (OT) is a technology for supporting a range of collaboration functionalities in advanced groupware systems.… …

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  • 28Natural transformation — This article is about natural transformations in category theory. For the natural competence of bacteria to take up foreign DNA, see Transformation (genetics). In category theory, a branch of mathematics, a natural transformation provides a way… …

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  • 29Projective transformation — A projective transformation is a transformation used in projective geometry: it is the composition of a pair of perspective projections. It describes what happens to the perceived positions of observed objects when the point of view of the… …

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  • 30Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… …

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