metric geometry
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metric geometry — noun : geometry that postulates a method of determining the distance between any two of its points and thence determines the size of geometrical magnitudes (as lengths, areas, volumes, angles) … Useful english dictionary
Glossary of Riemannian and metric geometry — This is a glossary of some terms used in Riemannian geometry and metric geometry mdash; it doesn t cover the terminology of differential topology. The following articles may also be useful. These either contain specialised vocabulary or provide… … Wikipedia
Metric (mathematics) — In mathematics, a metric or distance function is a function which defines a distance between elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set but not all topologies can be generated by a metric … 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
Metric map — In the mathematical theory of metric spaces, a metric map is a function between metric spaces that does not increase any distance (such functions are always continuous). These maps are the morphisms in the category of metric spaces, Met (Isbell… … 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 aimed at its subspace — In mathematics, a metric space aimed at its subspace is a categorical construction that has a direct geometric meaning. It is also a useful step toward the construction of the metric envelope, or tight span, which are basic (injective) objects of … Wikipedia
Metric derivative — In mathematics, the metric derivative is a notion of derivative appropriate to parametrized paths in metric spaces. It generalizes the notion of speed or absolute velocity to spaces which have a notion of distance (i.e. metric spaces) but not… … Wikipedia
metric — metric1 /me trik/, adj. pertaining to the meter or to the metric system. [1860 65; < F métrique, deriv. of mètre METER1; see IC] metric2 /me trik/, adj. 1. pertaining to distance: metric geometry. 2. metrical. n. 3. Math. a nonnegative real… … Universalium
metric — I met•ric [[t]ˈmɛ trɪk[/t]] adj. pertaining to the meter or to the metric system • Etymology: 1860–65; < F métrique; see meter I, ic II met•ric [[t]ˈmɛ trɪk[/t]] adj. 1) pertaining to distance: metric geometry[/ex] 2) metrical 3) math. Math. a … From formal English to slang
Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… … Wikipedia
