mathematics, Chebyshev distance (or Tchebychev distance), maximum metric, or L∞ metric is a metric defined on a real coordinate space where the distance between...

block distance or Manhattan distance. Chebyshev distance There are several algorithms to compute the distance transform for these different distance metrics...

Euclidean distance, taxicab distance, and Chebyshev distance. For points on surfaces in three dimensions, the Euclidean distance should be distinguished from...

the Chebyshev distance (L∞ metric) on a plane is also a square with side length 2r parallel to the coordinate axes, so planar Chebyshev distance can be...

get between those two points. Chessboard distance, formalized as Chebyshev distance, is the minimum number of moves a king must make on a chessboard in...

limiting case of p {\displaystyle p} reaching infinity, we obtain the Chebyshev distance: lim p → ∞ ( ∑ i = 1 n | x i − y i | p ) 1 p = max i = 1 n | x i −...

complex plane. They form the metric balls for taxicab geometry and Chebyshev distance, two forms of non-Euclidean geometry. Although spherical geometry...

Moore neighbourhood of a cell is the cell itself and the cells at a Chebyshev distance of 1. The concept can be extended to higher dimensions, for example...

dimension of a d {\displaystyle d} -dimensional vector space with the Chebyshev distance ( L ∞ {\displaystyle L^{\infty }} norm) is 2 d {\displaystyle 2^{d}}...

In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation of...

|f(s)|:s\in S\,\right\}.} This norm is also called the supremum norm, the Chebyshev norm, the infinity norm, or, when the supremum is in fact the maximum...

of the article. The maximum, L ∞ {\displaystyle L^{\infty }} , or Chebyshev distance is defined by d ∞ ( ( x 1 , y 1 ) , ( x 2 , y 2 ) ) = max { | x 2...

polynomials Chebyshev filter Chebyshev's inequality Chebyshev distance Chebyshev (crater): A lunar crater 2010 Chebyshev: An asteroid from the asteroid...

points. For a grid map from a video game, using the Taxicab distance or the Chebyshev distance becomes better depending on the set of movements available...

of radius 1 (using this distance) is the von Neumann neighborhood of its centre. A circle of radius r for the Chebyshev distance (L∞ metric) on a plane...

statistics and number theory, author of the Chebyshev's inequality, Chebyshev distance, Chebyshev function, Chebyshev equation etc. Sergei Chernikov, significant...

ball in real coordinate space under the Chebyshev distance is a hypercube, and a ball under the taxicab distance is a cross-polytope. A closed ball also...

In kinematics, Chebyshev's linkage is a four-bar linkage that converts rotational motion to approximate linear motion. It was invented by the 19th-century...

in taxicab geometry, and a cube is a sphere in geometry using the Chebyshev distance. The geometry of the sphere was studied by the Greeks. Euclid's Elements...

Euclidean distance, Manhattan distance, Minkowski distance, and Chebyshev distance. The Euclidean distance formula is used to find the distance between...

Chebyshev center Chebyshev constants Chebyshev cube root Chebyshev distance Chebyshev equation Chebyshev's equioscillation theorem Chebyshev filter, a...

a special case of the Lp distances, absolute difference can be used to define Chebyshev distance (L∞), in which the distance between points is the maximum...

x_{i+m-1}\}}} and the distance function d [ X m ( i ) , X m ( j ) ] {\displaystyle d[X_{m}(i),X_{m}(j)]} (i≠j) is to be the Chebyshev distance (but it could be...

reached using simpler calculations – for example, using Chebyshev distance over Euclidean distance in two-dimensional space.) As the value of the heuristic...

{\displaystyle L^{\infty }.} Uniform norm – Function in mathematical analysis Chebyshev distance – Mathematical metric "Elementary set theory - Why every localizable...

are of the same angle, either break ties by increasing distance (Manhattan or Chebyshev distance may be used instead of Euclidean for easier computation...

statistics and number theory, author of the Chebyshev's inequality, Chebyshev distance, Chebyshev function, Chebyshev equation Boris Delaunay, inventor of Delaunay...

that have the same nearest distance to x. In the special case in which pM is single-valued, the set M is called a Chebyshev set. As an example, if (X,d)...

norm, including the euclidean metric, the taxicab metric, and the Chebyshev distance, are equivalent. The continuity of a function is preserved if either...

Geographical distance or geodetic distance is the distance measured along the surface of the Earth, or the shortest arch length. The formulae in this...