Ternary rings with zero associated to Desarguesian and Pappian planes
Dalibor Klucký (1974)
Czechoslovak Mathematical Journal
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Displaying similar documents to “About induced orthogonality and generalized reflections of affine coordinate plane of odd order.”
Ternary rings with zero associated to Desarguesian and Pappian planes
On affine geometric product objects
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Inertiality implies the Lorentz group.
Goldstein, Norman J. (2007)
Mathematical Physics Electronic Journal [electronic only]
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Bifurcations of affine invariants for one-parameter family of generic convex plane curves
Takashi Sano (1999)
Banach Center Publications
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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
Non-isotropic circle translation cyclides of the flag space. I. (Nichtisotrope Kreisschiebzykliden des Flaggenraumes. I.)
Karáné, G.S. (1994)
Beiträge zur Algebra und Geometrie
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Self-affine fractals of finite type
Christoph Bandt, Mathias Mesing (2009)
Banach Center Publications
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In the class of self-affine sets on ℝⁿ we study a subclass for which the geometry is rather tractable. A type is a standardized position of two intersecting pieces. For a self-affine tiling, this can be identified with an edge or vertex type. We assume that the number of types is finite. We study the topology of such fractals and their boundary sets, and we show how new finite type fractals can be constructed. For finite type self-affine tiles in the plane we give an algorithm which...
On affine planes non-extensible to Laguerre planes and some related problems
Krystyna Gozdalska (1991)
Mathematica Bohemica
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Some examples of affine planes non-extensible to a Laguerre plane are studied and conditions for the uniqueness of a Laguerre extension are given.
An affine framework for analytical mechanics
Paweł Urbański (2003)
Banach Center Publications
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An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.
Affinely invariant symmetry sets
Peter Giblin (2008)
Banach Center Publications
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The classical medial axis and symmetry set of a smooth simple plane curve M, depending as they do on circles bitangent to M, are invariant under euclidean transformations. This article surveys the various ways in which the construction has been adapted to be invariant under affine transformations. They include affine distance and area constructions, and also the 'centre symmetry set' which generalizes central symmetry. A connexion is also made with the tricentre set of a convex plane...
Affine bijections of C(X,I)
Janko Marovt (2006)
Studia Mathematica
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Let 𝒳 be a compact Hausdorff space which satisfies the first axiom of countability, I = [0,1] and 𝓒(𝒳,I) the set of all continuous functions from 𝒳 to I. If φ: 𝓒(𝒳,I) → 𝓒(𝒳,I) is a bijective affine map then there exists a homeomorphism μ: 𝒳 → 𝒳 such that for every component C in 𝒳 we have either φ(f)(x) = f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C, or φ(f)(x) = 1-f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C.