Hausdorff metric

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• Hausdorff — may refer to:* A Hausdorff space, when used as an adjective, as in the real line is Hausdorff. * Felix Hausdorff, the German mathematician that Hausdorff spaces are named after. * Hausdorff dimension, a measure theoretic concept of dimension. *… …   Wikipedia

• Hausdorff distance — The Hausdorff distance, or Hausdorff metric, measures how far two compact non empty subsets of a metric space are from each other. It is named after Felix Hausdorff.Informally, the Hausdorff distance between two sets of points, is the longest… …   Wikipedia

• Hausdorff-Metrik — Die gefärbten Mengen links haben verhältnismäßig geringen Hausdorff Abstand zu den entsprechenden Mengen rechts. Die Hausdorff Metrik, benannt nach dem Mathematiker Felix Hausdorff, misst den Abstand δ(A,B) zwischen nichtleeren kompakten… …   Deutsch Wikipedia

• Metric Structures for Riemannian and Non-Riemannian Spaces —   Author(s) Misha Gromov …   Wikipedia

• Hausdorff dimension — In mathematics, the Hausdorff dimension (also known as the Hausdorff–Besicovitch dimension) is an extended non negative real number associated to any metric space. The Hausdoff dimension generalizes the notion of the dimension of a real vector… …   Wikipedia

• Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …   Wikipedia

• Hausdorff measure — In mathematics a Hausdorff measure is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each set in R n or, more generally, in any metric space. The zero dimensional Hausdorff measure is the number of points in …   Wikipedia

• Hausdorff space — In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space …   Wikipedia

• Metric outer measure — In mathematics, a metric outer measure is an outer measure μ defined on the subsets of a given metric space (X, d) such that for every pair of positively separated subsets A and B of X. Construction of metric outer measures Let… …   Wikipedia

• metric space — Math. a space with a metric defined on it. [1925 30] * * * In mathematics, a set of objects equipped with a concept of distance. The objects can be thought of as points in space, with the distance between points given by a distance formula, such… …   Universalium

• Hausdorff space — /hows dawrf, howz /, Math. a topological space in which each pair of points can be separated by two disjoint open sets containing the points. [named after Felix Hausdorff (1868 1942), German mathematician, who first described it] * * * ▪… …   Universalium