• Thumbnail for Minkowski addition
    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
  • Thumbnail for Convex set
    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
  • Thumbnail for Hermann Minkowski
    Hermann Minkowski Abraham–Minkowski controversy Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski (crater)...
    21 KB (1,923 words) - 20:58, 30 December 2024
  • diagram Minkowski distance Minkowski functional Minkowski inequality Minkowski space Null vector (Minkowski space) Minkowski plane Minkowski's theorem...
    2 KB (194 words) - 09:17, 1 November 2024
  • Thumbnail for Minkowski space
    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
  • Thumbnail for Shapley–Folkman lemma
    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
  • Thumbnail for Velocity-addition formula
    c+v}\right).} The cosmos of special relativity consists of Minkowski spacetime and the addition of velocities corresponds to composition of Lorentz transformations...
    61 KB (11,196 words) - 18:07, 7 January 2025
  • Minkowski (1864 - 1909), German mathematician: Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski...
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  • Thumbnail for Minkowski–Bouligand dimension
    In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal...
    11 KB (1,594 words) - 13:53, 3 December 2024
  • a shift-invariant (translation invariant) operator, equivalent to Minkowski addition. A binary image is viewed in mathematical morphology as a subset of...
    7 KB (1,219 words) - 11:37, 1 November 2023
  • 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...
    3 KB (416 words) - 22:39, 9 April 2023
  • Thumbnail for Minkowski's theorem
    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...
    19 KB (2,351 words) - 00:57, 26 June 2024
  • 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...
    4 KB (620 words) - 12:25, 27 December 2024
  • Thumbnail for Mollifier
    the sense of distributions, and + {\displaystyle +} indicates their Minkowski addition. The basic application of mollifiers is to prove that properties valid...
    16 KB (2,206 words) - 09:11, 27 October 2024
  • geometry with applications in mathematical economics that describes the Minkowski addition of sets in a vector space Shephard's problem - a geometrical question...
    8 KB (1,173 words) - 23:55, 16 April 2024
  • natural geometric operations, like scaling, translation, rotation and Minkowski addition. Due to these properties, the support function is one of the most...
    8 KB (1,388 words) - 08:02, 25 April 2024
  • Thumbnail for Mathematical morphology
    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...
    23 KB (3,305 words) - 17:48, 5 August 2024
  • Thumbnail for Hasse–Minkowski theorem
    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...
    5 KB (491 words) - 16:09, 7 June 2024
  • In mathematics, the Brunn–Minkowski theorem (or Brunn–Minkowski inequality) is an inequality relating the volumes (or more generally Lebesgue measures)...
    38 KB (2,858 words) - 01:49, 13 December 2024
  • 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...
    25 KB (2,520 words) - 02:19, 8 December 2024
  • person.) Hermann Minkowski, German mathematician – Minkowski addition, Minkowski inequality, Minkowski space, Minkowski diagram, Minkowski's theorem. Minos...
    99 KB (9,462 words) - 18:36, 9 December 2024
  • Thumbnail for Spacetime
    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
  • Thumbnail for Minkowski functional
    mathematics, in the field of functional analysis, a Minkowski functional (after Hermann Minkowski) or gauge function is a function that recovers a notion...
    52 KB (6,957 words) - 06:51, 5 December 2024
  • Thumbnail for Koch snowflake
    Weisstein, Eric W. (1999). "Minkowski Sausage", archive.lib.msu.edu. Accessed: 21 September 2019. Pamfilos, Paris. "Minkowski Sausage", user.math.uoc.gr/~pamfilos/...
    23 KB (2,668 words) - 14:07, 8 November 2024
  • Thumbnail for Lorentz transformation
    a rotation-free Lorentz transformation is called a Lorentz boost. In Minkowski space—the mathematical model of spacetime in special relativity—the Lorentz...
    106 KB (14,738 words) - 11:24, 3 December 2024
  • 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...
    28 KB (3,023 words) - 17:23, 9 July 2024
  • Thumbnail for Hedgehog (geometry)
    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...
    11 KB (1,482 words) - 17:23, 16 April 2024
  • first to point out its reciprocity or symmetry. Subsequently, Hermann Minkowski (1907) introduced the concept of proper time which further clarified the...
    52 KB (6,630 words) - 08:46, 29 December 2024
  • Thumbnail for Ivar Ekeland
    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...
    26 KB (2,261 words) - 06:53, 12 June 2024
  • Thumbnail for Fractal antenna
    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