Minkowski metric

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• Minkowski space — A diagram of Minkowski space, showing only two of the three spacelike dimensions. For spacetime graphics, see Minkowski diagram. In physics and mathematics, Minkowski space or Minkowski spacetime (named after the mathematician Hermann Minkowski)… …   Wikipedia

• Metric tensor (general relativity) — This article is about metrics in general relativity. For a discussion of metrics in general, see metric tensor. Metric tensor of spacetime in general relativity written as a matrix. In general relativity, the metric tensor (or simply, the metric) …   Wikipedia

• Metric signature — The signature of a metric tensor (or more generally a nondegenerate symmetric bilinear form, thought of as quadratic form) is the number of positive and negative eigenvalues of the metric. That is, the corresponding real symmetric matrix is… …   Wikipedia

• Minkowski content — The Minkowski content of a set, or the boundary measure, is a basic concept in geometry and measure theory which generalizes to arbitrary measurable sets the notions of length of a smooth curve in the plane and area of a smooth surface in the… …   Wikipedia

• Minkowski–Bouligand dimension — Estimating the box counting dimension of the coast of Great Britain In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box counting dimension, is a way of determining the fractal dimension of a set S in a …   Wikipedia

• 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 dimension of a set S in a Euclidean space R^n, or more generally in a metric space ( X , d ) …   Wikipedia

• Minkowski distance — The Minkowski distance is a metric on Euclidean space which can be considered as a generalization of both the Euclidean distance and the Manhattan distance. Definition The Minkowski distance of order p between two points is defined as: The… …   Wikipedia

• Minkowski plane — In mathematics, the Minkowski plane (named after Hermann Minkowski) is a two dimensional affine space provided with a metric that is invariant under translations. Often one identifies the underlying affine space with the plane R2. With this… …   Wikipedia

• Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia

• Metric dimension — In mathematics, the term metric dimension has various meanings. The metric dimension of an undirected graph G is the minimum number of vertices in a subset S of G such that all other vertices are uniquely determined by their distances to the… …   Wikipedia

• Acoustic metric — In mathematical physics, a metric describes the arrangement of relative distances within a surface or volume, usually measured by signals passing through the region – essentially describing the intrinsic geometry of the region. An acoustic metric …   Wikipedia