• 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...
    27 KB (3,454 words) - 21:27, 26 February 2025
  • Thumbnail for Hermann Minkowski
    Hermann Minkowski Abraham–Minkowski controversy Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski (crater)...
    21 KB (1,921 words) - 02:12, 7 March 2025
  • 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...
    78 KB (10,458 words) - 23:55, 27 February 2025
  • 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 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) - 15:31, 26 February 2025
  • 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
  • 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 (11,184 words) - 19:51, 3 March 2025
  • 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
  • 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
  • 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
  • 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 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) - 21:46, 21 February 2025
  • 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
  • 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
  • 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) - 12:04, 26 February 2025
  • 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 (2,350 words) - 19:53, 28 February 2025
  • 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...
    16 KB (2,641 words) - 05:45, 7 December 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 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 (14,732 words) - 23:48, 26 January 2025
  • 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) - 07:34, 14 January 2025
  • 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
  • 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
  • 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 (6,955 words) - 06:51, 5 December 2024
  • Thumbnail for Electromagnetic tensor
    Electromagnetic tensor (category Minkowski spacetime)
    four-dimensional tensor formulation of special relativity was introduced by Hermann Minkowski. The tensor allows related physical laws to be written concisely, and...
    16 KB (2,778 words) - 09:53, 29 January 2025
  • Thumbnail for Penrose diagram
    (suitable for the curved spacetimes of e.g. general relativity) of the Minkowski diagram of special relativity where the vertical dimension represents...
    10 KB (1,206 words) - 19:00, 30 January 2025
  • 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...
    5 KB (668 words) - 21:59, 27 March 2024
  • Thumbnail for Triangle inequality
    number of triples examined is less than the number of pairs examined. The Minkowski space metric η μ ν {\displaystyle \eta _{\mu \nu }} is not positive-definite...
    34 KB (5,201 words) - 02:07, 25 February 2025
  • person.) Hermann Minkowski, German mathematician – Minkowski addition, Minkowski inequality, Minkowski space, Minkowski diagram, Minkowski's theorem. Minos...
    99 KB (9,485 words) - 10:16, 23 January 2025
  • first to point out its reciprocity or symmetry. Subsequently, Hermann Minkowski (1907) introduced the concept of proper time which further clarified the...
    52 KB (6,686 words) - 18:59, 26 February 2025