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...
24 KB (2,977 words) - 05:47, 8 January 2025
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...
25 KB (3,071 words) - 18:34, 29 December 2024
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...
79 KB (10,627 words) - 23:15, 8 January 2025
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. It is named after mathematicians Lloyd...
83 KB (10,202 words) - 22:30, 5 November 2024
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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Minkowski (1864 - 1909), German mathematician: Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski...
2 KB (149 words) - 21:44, 15 July 2023
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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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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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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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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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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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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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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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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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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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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Lorentz transformation and special theory of relativity. In 1908, Hermann Minkowski presented a geometric interpretation of special relativity that fused...
132 KB (19,758 words) - 20:05, 19 December 2024
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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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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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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Hemolytic jaundice (redirect from Chauffard-Minkowski syndrome)
amount of accumulated unconjugated bilirubin in the infant's serum by the addition of oxygen, thus allowing it to dissolve in water so the liver can more...
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support functions. This operation extends Minkowski addition of convex bodies and is analogous to Minkowski addition in multiple ways. It can be used to characterize...
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first to point out its reciprocity or symmetry. Subsequently, Hermann Minkowski (1907) introduced the concept of proper time which further clarified the...
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which is the smallest closed set that contains the original set. The Minkowski sum of two closed sets need not be closed, so the following inclusion...
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Fractal antenna (redirect from Minkowski gasket)
used—and thus the standard antennas only work well at that frequency. In addition, the fractal nature of the antenna shrinks its size, without the use of...
15 KB (1,714 words) - 16:32, 16 August 2024