• mathematics, a Minkowski plane (named after Hermann Minkowski) is one of the Benz planes (the others being Möbius plane and Laguerre plane). Applying the...
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  • compactified Euclidean plane is only 6-dimensional. The conformal group for the Minkowski quadratic form q(x, y) = 2xy in the plane is the abelian Lie group...
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    In physics, Minkowski space (or Minkowski spacetime) (/mɪŋˈkɔːfski, -ˈkɒf-/) is the main mathematical description of spacetime in the absence of gravitation...
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  • diagram Minkowski distance Minkowski functional Minkowski inequality Minkowski space Null vector (Minkowski space) Minkowski plane Minkowski's theorem...
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    Minkowski (crater) Minkowski distance Minkowski functional Minkowski inequality Minkowski model Minkowski plane Minkowski problem Minkowski problem for polytopes...
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    In geometry, the Minkowski sum of two sets of position vectors A and B in Euclidean space is formed by adding each vector in A to each vector in B: A...
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  • -dimensional Minkowski plane is a Lie group of dimension at most 6 d {\displaystyle 6d} . All 2 {\displaystyle 2} -dimensional Minkowski planes such that...
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  • (2008) The Mathematics of Minkowski Space-Time, Birkhäuser Verlag, Basel. Chapter 4: Trigonometry in the Minkowski plane. ISBN 978-3-7643-8613-9. Francesco...
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    hyperbolic plane. The hyperboloid model of hyperbolic geometry provides a representation of events one temporal unit into the future in Minkowski space, the...
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    (n+1)-dimensional Minkowski space or by the displacement vectors from the origin to those points, and m-planes are represented by the intersections of (m+1)-planes passing...
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  • were introduced separately: Möbius planes, Laguerre planes, and Minkowski planes. Starting from the real Euclidean plane and merging the set of lines with...
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    class of spacetime diagrams are known as Minkowski diagrams, developed by Hermann Minkowski in 1908. Minkowski diagrams are two-dimensional graphs that...
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  • as the classical Möbius plane. It is one of the Benz planes: Möbius plane, Laguerre plane and Minkowski plane. Affine planes are systems of points and...
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    In mathematics, Minkowski's theorem is the statement that every convex set in R n {\displaystyle \mathbb {R} ^{n}} which is symmetric with respect to...
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  • Minkowski content Minkowski distance Minkowski functional Minkowski inequality Minkowski model Minkowski plane Minkowski problem Minkowski problem for polytopes...
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  • Thumbnail for Length contraction
    contraction from his postulates instead of experimental data. Hermann Minkowski gave the geometrical interpretation of all relativistic effects by introducing...
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  • Thumbnail for Euclidean plane
    In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted E 2 {\displaystyle {\textbf {E}}^{2}} or E 2 {\displaystyle \mathbb {E}...
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  • (The hyperbolic plane is a timelike hypersurface in three-dimensional Minkowski space.) The one-point compactification of the plane is homeomorphic to...
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  • In mathematics, the Brunn–Minkowski theorem (or Brunn–Minkowski inequality) is an inequality relating the volumes (or more generally Lebesgue measures)...
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    § Two dimensions. (1 + 1)-dimensional Minkowski space, also known as the split-complex plane, is a "complex plane" in the sense that the algebraic split-complex...
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    familiar 'asymptotes' of elementary geometry. The Minkowski diagram is drawn in a spacetime plane where the spatial aspect has been restricted to a single...
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    Laguerre- and Minkowski Planes, S. 33, (PDF; 757 kB) Lecture Note Planar Circle Geometries, an Introduction to Moebius-, Laguerre- and Minkowski Planes, S. 32...
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  • The Minkowski content (named after Hermann Minkowski), or the boundary measure, of a set is a basic concept that uses concepts from geometry and measure...
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    hulls of Minkowski sumsets in its "Chapter 3 Minkowski addition" (pages 126–196): Schneider, Rolf (1993). Convex bodies: The Brunn–Minkowski theory. Encyclopedia...
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  • Thumbnail for Laguerre plane
    a Laguerre plane is one of the three types of Benz plane, which are the Möbius plane, Laguerre plane and Minkowski plane. Laguerre planes are named after...
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  • In geometry, a plane of rotation is an abstract object used to describe or visualize rotations in space. The main use for planes of rotation is in describing...
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  • of reference. A plane that satisfies Hilbert's Incidence, Betweenness and Congruence axioms is called a Hilbert plane. Hilbert planes are models of absolute...
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    Weisstein, Eric W. (1999). "Minkowski Sausage", archive.lib.msu.edu. Accessed: 21 September 2019. Pamfilos, Paris. "Minkowski Sausage", user.math.uoc.gr/~pamfilos/...
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  • Thumbnail for Poincaré group
    Henri Poincaré (1905), was first defined by Hermann Minkowski (1908) as the isometry group of Minkowski spacetime. It is a ten-dimensional non-abelian Lie...
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    Planar Circle Geometries, an Introduction to Moebius-, Laguerre- and Minkowski Planes (PDF), retrieved 20 September 2014 (PDF; 891 kB). Katz, Victor J. (1998)...
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