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- Seven-dimensional_space abstract "In mathematics, a sequence of n real numbers can be understood as a location in n-dimensional space. When n = 7, the set of all such locations is called 7-dimensional space. Often such a space are studied as a vector space, without any notion of distance. Seven-dimensional Euclidean space is seven-dimensional space equipped with a Euclidean metric, which is defined by the dot product.More generally, the term may refer to a seven-dimensional vector space over any field, such as a seven-dimensional complex vector space, which has 14 real dimensions. It may also refer to a seven-dimensional manifold such as a 7-sphere, or a variety of other geometric constructions.Seven-dimensional spaces have a number of special properties, many of them related to the octonions. An especially distinctive property is that a cross product can be defined only in three or seven dimensions. This is related to Hurwitz's theorem, which prohibits the existence of algebraic structures like the quaternions and octonions in dimensions other than 2, 4, and 8. The first exotic spheres ever discovered were seven-dimensional.".
- Seven-dimensional_space thumbnail 7-simplex_t0.svg?width=300.
- Seven-dimensional_space wikiPageID "25546470".
- Seven-dimensional_space wikiPageLength "4835".
- Seven-dimensional_space wikiPageOutDegree "55".
- Seven-dimensional_space wikiPageRevisionID "655918492".
- Seven-dimensional_space wikiPageWikiLink 1_32_polytope.
- Seven-dimensional_space wikiPageWikiLink 2_31_polytope.
- Seven-dimensional_space wikiPageWikiLink 3_21_polytope.
- Seven-dimensional_space wikiPageWikiLink 7-cube.
- Seven-dimensional_space wikiPageWikiLink 7-demicube.
- Seven-dimensional_space wikiPageWikiLink 7-orthoplex.
- Seven-dimensional_space wikiPageWikiLink 7-simplex.
- Seven-dimensional_space wikiPageWikiLink 7-sphere.
- Seven-dimensional_space wikiPageWikiLink Category:Dimension.
- Seven-dimensional_space wikiPageWikiLink Category:Multi-dimensional_geometry.
- Seven-dimensional_space wikiPageWikiLink Complex_number.
- Seven-dimensional_space wikiPageWikiLink Coxeter-Dynkin_diagram.
- Seven-dimensional_space wikiPageWikiLink Coxeter_group.
- Seven-dimensional_space wikiPageWikiLink Coxeter–Dynkin_diagram.
- Seven-dimensional_space wikiPageWikiLink Cross_product.
- Seven-dimensional_space wikiPageWikiLink Dimension.
- Seven-dimensional_space wikiPageWikiLink Dot_product.
- Seven-dimensional_space wikiPageWikiLink E7_(mathematics).
- Seven-dimensional_space wikiPageWikiLink Euclidean_distance.
- Seven-dimensional_space wikiPageWikiLink Euclidean_geometry.
- Seven-dimensional_space wikiPageWikiLink Euclidean_metric.
- Seven-dimensional_space wikiPageWikiLink Euclidean_space.
- Seven-dimensional_space wikiPageWikiLink Exotic_sphere.
- Seven-dimensional_space wikiPageWikiLink Field_(mathematics).
- Seven-dimensional_space wikiPageWikiLink Hurwitzs_theorem_(composition_algebras).
- Seven-dimensional_space wikiPageWikiLink John_Milnor.
- Seven-dimensional_space wikiPageWikiLink List_of_geometry_topics.
- Seven-dimensional_space wikiPageWikiLink List_of_regular_polytopes.
- Seven-dimensional_space wikiPageWikiLink List_of_regular_polytopes_and_compounds.
- Seven-dimensional_space wikiPageWikiLink Manifold.
- Seven-dimensional_space wikiPageWikiLink Mathematics.
- Seven-dimensional_space wikiPageWikiLink N-sphere.
- Seven-dimensional_space wikiPageWikiLink Octonion.
- Seven-dimensional_space wikiPageWikiLink Point_(geometry).
- Seven-dimensional_space wikiPageWikiLink Polytope.
- Seven-dimensional_space wikiPageWikiLink Quaternion.
- Seven-dimensional_space wikiPageWikiLink Real_number.
- Seven-dimensional_space wikiPageWikiLink Regular_polytope.
- Seven-dimensional_space wikiPageWikiLink Three-dimensional_cross_product.
- Seven-dimensional_space wikiPageWikiLink Uniform_7-polytope.
- Seven-dimensional_space wikiPageWikiLink Vector_space.
- Seven-dimensional_space wikiPageWikiLink File:7-cube_t0.svg.
- Seven-dimensional_space wikiPageWikiLink File:7-cube_t6.svg.
- Seven-dimensional_space wikiPageWikiLink File:7-demicube_t0_D7.svg.
- Seven-dimensional_space wikiPageWikiLink File:7-simplex_t0.svg.
- Seven-dimensional_space wikiPageWikiLink File:Up2_1_32_t0_E7.svg.
- Seven-dimensional_space wikiPageWikiLink File:Up2_2_31_t0_E7.svg.
- Seven-dimensional_space wikiPageWikiLink File:Up2_3_21_t0_E7.svg.
- Seven-dimensional_space wikiPageWikiLinkText "7-dimensional".
- Seven-dimensional_space wikiPageWikiLinkText "Seven-dimensional space".
- Seven-dimensional_space wikiPageWikiLinkText "seven".
- Seven-dimensional_space wikiPageWikiLinkText "seven-dimensional Euclidean space".
- Seven-dimensional_space wikiPageWikiLinkText "seven-dimensional".
- Seven-dimensional_space hasPhotoCollection Seven-dimensional_space.
- Seven-dimensional_space id "p/e036350".
- Seven-dimensional_space title "Euclidean geometry".
- Seven-dimensional_space wikiPageUsesTemplate Template:CDD.
- Seven-dimensional_space wikiPageUsesTemplate Template:Dimension_topics.
- Seven-dimensional_space wikiPageUsesTemplate Template:Disputed-inline.
- Seven-dimensional_space wikiPageUsesTemplate Template:Main.
- Seven-dimensional_space wikiPageUsesTemplate Template:Math.
- Seven-dimensional_space wikiPageUsesTemplate Template:Reflist.
- Seven-dimensional_space wikiPageUsesTemplate Template:Springer.
- Seven-dimensional_space subject Category:Dimension.
- Seven-dimensional_space subject Category:Multi-dimensional_geometry.
- Seven-dimensional_space comment "In mathematics, a sequence of n real numbers can be understood as a location in n-dimensional space. When n = 7, the set of all such locations is called 7-dimensional space. Often such a space are studied as a vector space, without any notion of distance.".
- Seven-dimensional_space label "Seven-dimensional space".
- Seven-dimensional_space sameAs فضای_هفتبعدی.
- Seven-dimensional_space sameAs Zeven-dimensionale_ruimte.
- Seven-dimensional_space sameAs m.09ry1zd.
- Seven-dimensional_space sameAs Q2070474.
- Seven-dimensional_space sameAs Q2070474.
- Seven-dimensional_space wasDerivedFrom Seven-dimensional_space?oldid=655918492.
- Seven-dimensional_space depiction 7-simplex_t0.svg.
- Seven-dimensional_space isPrimaryTopicOf Seven-dimensional_space.