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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Convex set (section Minkowski addition)
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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Hermann Minkowski Abraham–Minkowski controversy Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski (crater)...
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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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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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Shapley–Folkman lemma (section Minkowski addition)
Shapley–Folkman lemma is a result in convex geometry that describes the Minkowski addition of sets in a vector space. The lemma may be intuitively understood...
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c+v}\right).} The cosmos of special relativity consists of Minkowski spacetime and the addition of velocities corresponds to composition of Lorentz transformations...
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a shift-invariant (translation invariant) operator, equivalent to Minkowski addition. A binary image is viewed in mathematical morphology as a subset of...
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natural geometric operations, like scaling, translation, rotation and Minkowski addition. Due to these properties, the support function is one of the most...
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Minkowski (1864 - 1909), German mathematician: Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski...
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sum, an operation considered a kind of addition for matrices Matrix addition, in linear algebra Minkowski addition, a sum of two subsets of a vector space...
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the sense of distributions, and + {\displaystyle +} indicates their Minkowski addition. The basic application of mollifiers is to prove that properties valid...
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In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal...
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Lorentz transformation and special theory of relativity. In 1908, Hermann Minkowski presented a geometric interpretation of special relativity that fused...
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shift-invariant (translation invariant) operators strongly related to Minkowski addition. Let E be a Euclidean space or an integer grid, and A a binary image...
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n-dimensional Lebesgue measure and the + on the left-hand side denotes Minkowski addition. In general, no reverse bound is possible, since one can find convex...
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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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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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midpoints of the spheres. The plus sign in the formula refers to Minkowski addition of sets, so that V ( C n + K ) {\displaystyle V(C_{n}+K)} refers to...
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Zonohedron (section Zonohedra from Minkowski sums)
symmetric (a zonogon). Any zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three-dimensional space, or as a three-dimensional...
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person.) Hermann Minkowski, German mathematician – Minkowski addition, Minkowski inequality, Minkowski space, Minkowski diagram, Minkowski's theorem. Minos...
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The Hasse–Minkowski theorem is a fundamental result in number theory which states that two quadratic forms over a number field are equivalent if and only...
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Koch snowflake (redirect from Minkowski island fractal)
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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the origin in a topological vector space X {\displaystyle X} then the Minkowski functional of U , {\displaystyle U,} p U : X → [ 0 , ∞ ) , {\displaystyle...
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geometry with applications in mathematical economics that describes the Minkowski addition of sets in a vector space Shephard's problem - a geometrical question...
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Lorentz transformation (redirect from Minkowski rotation)
a rotation-free Lorentz transformation is called a Lorentz boost. In Minkowski space—the mathematical model of spacetime in special relativity—the Lorentz...
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mathematics, in the field of functional analysis, a Minkowski functional (after Hermann Minkowski) or gauge function is a function that recovers a notion...
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invitations to the Minkowski household for Sunday dinners. In addition, while performing his duties as scribe and assistant, Born often saw Minkowski at Hilbert's...
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"Steiner point", for any polytope. Chapter 15 studies Minkowski addition and Blaschke addition, two operations by which polytopes can be combined to produce...
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In the geometry of convex polytopes, the Minkowski problem for polytopes concerns the specification of the shape of a polytope by the directions and measures...
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