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- Metric_space abstract "In mathematics, a metric space is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set.The most familiar metric space is 3-dimensional Euclidean space. In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length of the straight line segment connecting them. Other metric spaces occur for example in elliptic geometry and hyperbolic geometry, where distance on a sphere measured by angle is a metric, and the hyperboloid model of hyperbolic geometry is used by special relativity as a metric space of velocities.A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces.In the most general definition of a metric space, the distance between set elements can be negative. Spaces like these are important in the theory of relativity.".
- Metric_space wikiPageExternalLink ~mos.
- Metric_space wikiPageExternalLink Metric_Spaces.
- Metric_space wikiPageExternalLink far_near.shtml.
- Metric_space wikiPageExternalLink 1-84628-369-8.
- Metric_space wikiPageExternalLink index.html.
- Metric_space wikiPageID "20018".
- Metric_space wikiPageRevisionID "604846880".
- Metric_space hasPhotoCollection Metric_space.
- Metric_space id "p/m063680".
- Metric_space title "Metric space".
- Metric_space title "Product Metric".
- Metric_space urlname "ProductMetric".
- Metric_space subject Category:Mathematical_analysis.
- Metric_space subject Category:Mathematical_structures.
- Metric_space subject Category:Metric_geometry.
- Metric_space subject Category:Topological_spaces.
- Metric_space subject Category:Topology.
- Metric_space comment "In mathematics, a metric space is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set.The most familiar metric space is 3-dimensional Euclidean space. In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length of the straight line segment connecting them.".
- Metric_space label "Espace métrique".
- Metric_space label "Espacio métrico".
- Metric_space label "Espaço métrico".
- Metric_space label "Metric space".
- Metric_space label "Metrische ruimte".
- Metric_space label "Metrischer Raum".
- Metric_space label "Przestrzeń metryczna".
- Metric_space label "Spazio metrico".
- Metric_space label "Метрическое пространство".
- Metric_space label "فضاء متري".
- Metric_space label "度量空间".
- Metric_space label "距離空間".
- Metric_space sameAs Metrický_prostor.
- Metric_space sameAs Metrischer_Raum.
- Metric_space sameAs Μετρικός_χώρος.
- Metric_space sameAs Espacio_métrico.
- Metric_space sameAs Espace_métrique.
- Metric_space sameAs Ruang_metrik.
- Metric_space sameAs Spazio_metrico.
- Metric_space sameAs 距離空間.
- Metric_space sameAs 거리공간.
- Metric_space sameAs Metrische_ruimte.
- Metric_space sameAs Przestrzeń_metryczna.
- Metric_space sameAs Espaço_métrico.
- Metric_space sameAs m.050v4.
- Metric_space sameAs Q180953.
- Metric_space sameAs Q180953.
- Metric_space wasDerivedFrom Metric_space?oldid=604846880.
- Metric_space isPrimaryTopicOf Metric_space.