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...

hulls of Minkowski sumsets in its "Chapter 3 Minkowski addition" (pages 126–196): Schneider, Rolf (1993). Convex bodies: The Brunn–Minkowski theory. Encyclopedia...

Hermann Minkowski Abraham–Minkowski controversy Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski (crater)...

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...

diagram Minkowski distance Minkowski functional Minkowski inequality Minkowski space Null vector (Minkowski space) Minkowski plane Minkowski's theorem...

Minkowski (1864 - 1909), German mathematician: Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski...

c+v}\right).} The cosmos of special relativity consists of Minkowski spacetime and the addition of velocities corresponds to composition of Lorentz transformations...

natural geometric operations, like scaling, translation, rotation and Minkowski addition. Due to these properties, the support function is one of the most...

In physics, Minkowski space (or Minkowski spacetime) (/mɪŋˈkɔːfski, -ˈkɒf-/) is the main mathematical description of spacetime in the absence of gravitation...

a shift-invariant (translation invariant) operator, equivalent to Minkowski addition. A binary image is viewed in mathematical morphology as a subset of...

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...

the sense of distributions, and + {\displaystyle +} indicates their Minkowski addition. The basic application of mollifiers is to prove that properties valid...

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...

In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal...

geometry with applications in mathematical economics that describes the Minkowski addition of sets in a vector space Shephard's problem - a geometrical question...

In mathematics, the Brunn–Minkowski theorem (or Brunn–Minkowski inequality) is an inequality relating the volumes (or more generally Lebesgue measures)...

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...

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...

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...

Dvoretzky's theorem Concentration of measure Brunn–Minkowski inequality Minkowski addition von Neumann, John (1942). "Approximative properties of matrices of...

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...

Lorentz transformation and special theory of relativity. In 1908, Hermann Minkowski presented a geometric interpretation of special relativity that fused...

a rotation-free Lorentz transformation is called a Lorentz boost. In Minkowski space—the mathematical model of spacetime in special relativity—the Lorentz...

person.) Hermann Minkowski, German mathematician – Minkowski addition, Minkowski inequality, Minkowski space, Minkowski diagram, Minkowski's theorem. Minos...

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...

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...

Weisstein, Eric W. (1999). "Minkowski Sausage", archive.lib.msu.edu. Accessed: 21 September 2019. Pamfilos, Paris. "Minkowski Sausage", user.math.uoc.gr/~pamfilos/...

the origin in a topological vector space X {\displaystyle X} then the Minkowski functional of U , {\displaystyle U,} p U : X → [ 0 , ∞ ) , {\displaystyle...

temporally, but rather are known relative to the motion of an observer. Minkowski space first approximates the universe without gravity; the pseudo-Riemannian...

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...