- affine group
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the group of all affine transformations of a finite-dimensional vector space.
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affine group
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Affine group — In mathematics, the affine group or general affine group of any affine space over a field K is the group of all invertible affine transformations from the space into itself.It is a Lie group if K is the real or complex field or… … Wikipedia
affine group — Math. the group of all affine transformations of a finite dimensional vector space. [1915 20] * * * … Universalium
affine group — Math. the group of all affine transformations of a finite dimensional vector space. [1915 20] … Useful english dictionary
Special 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… … Wikipedia
Affine geometry — is a form of geometry featuring the unique parallel line property (see the parallel postulate) but where the notion of angle is undefined and lengths cannot be compared in different directions (that is, Euclid s third and fourth postulates are… … Wikipedia
Affine — may refer to:*Affine cipher, a special case of the more general substitution cipher *Affine combination, a certain kind of constrained linear combination *Affine connection, a connection on the tangent bundle of a differentiable manifold *Affine… … Wikipedia
Affine shape adaptation — is a methodology for iteratively adapting the shape of the smoothing kernels in an affine group of smoothing kernels to the local image structure in neighbourhood region of a specific image point. Equivalently, affine shape adaptation can be… … Wikipedia
Residue class-wise affine group — In mathematics, residue class wise affine groups are certain permutation groups acting on mathbb{Z} (the integers),whose elements are bijective residue class wise affine mappings.A mapping f: mathbb{Z} ightarrow mathbb{Z} is called residue class… … Wikipedia
Affine algebra — may refer to: * affine Lie algebra, a type of Kac–Moody algebras * the Lie algebra of the affine group * finitely generated algebra … Wikipedia
Affine (company) — Affine is a commercial real estate company (Société) based in Paris, France. It was founded in 1990 and is currently a member of the CAC Small 90. External links * [http://www.affine group.com/ Corporate webpage] (en) *… … Wikipedia
