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- Unit_sphere abstract "In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point. Usually a specific point has been distinguished as the origin of the space under study and it is understood that a unit sphere or unit ball is centered at that point. Therefore one speaks of "the" unit ball or "the" unit sphere.For example, a one-dimensional sphere is the surface of what is commonly called a "circle", while such a circle's interior and surface together are the two-dimensional ball. Similarly, a two-dimensional sphere is the surface of the Euclidean solid known colloquially as a "sphere", while the interior and surface together are the three-dimensional ball. A unit sphere is simply a sphere of radius one. The importance of the unit sphere is that any sphere can be transformed to a unit sphere by a combination of translation and scaling. In this way the properties of spheres in general can be reduced to the study of the unit sphere.".
- Unit_sphere thumbnail Vector_norms.svg?width=300.
- Unit_sphere wikiPageExternalLink Newsletter-of-the-European-Mathematical-Society-20070664-featuring-Let-Platonism-Die.
- Unit_sphere wikiPageID "27033090".
- Unit_sphere wikiPageRevisionID "600560921".
- Unit_sphere alt "Unit circles using different Minkowski distance metrics.".
- Unit_sphere hasPhotoCollection Unit_sphere.
- Unit_sphere height "200".
- Unit_sphere title "Unit sphere".
- Unit_sphere urlname "UnitSphere".
- Unit_sphere subject Category:Functional_analysis.
- Unit_sphere subject Category:One.
- Unit_sphere subject Category:Spheres.
- Unit_sphere type Abstraction100002137.
- Unit_sphere type Attribute100024264.
- Unit_sphere type Environment113934596.
- Unit_sphere type Situation113927383.
- Unit_sphere type Sphere114514039.
- Unit_sphere type Spheres.
- Unit_sphere type State100024720.
- Unit_sphere comment "In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point. Usually a specific point has been distinguished as the origin of the space under study and it is understood that a unit sphere or unit ball is centered at that point.".
- Unit_sphere label "Eenheidsbol".
- Unit_sphere label "Einheitskugel".
- Unit_sphere label "Sfera unitaria".
- Unit_sphere label "Unit sphere".
- Unit_sphere label "单位球面".
- Unit_sphere label "単位球面".
- Unit_sphere sameAs Jednotková_koule.
- Unit_sphere sameAs Einheitskugel.
- Unit_sphere sameAs Sfera_unitaria.
- Unit_sphere sameAs 単位球面.
- Unit_sphere sameAs Eenheidsbol.
- Unit_sphere sameAs m.02vwlh.
- Unit_sphere sameAs Q1307800.
- Unit_sphere sameAs Q1307800.
- Unit_sphere sameAs Unit_sphere.
- Unit_sphere wasDerivedFrom Unit_sphere?oldid=600560921.
- Unit_sphere depiction Vector_norms.svg.
- Unit_sphere isPrimaryTopicOf Unit_sphere.
