About: Eight-dimensional space

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In mathematics, a sequence of n real numbers can be understood as a location in n-dimensional space. When n = 8, the set of all such locations is called 8-dimensional space. Often such spaces are studied as vector spaces, without any notion of distance. Eight-dimensional Euclidean space is eight-dimensional space equipped with the Euclidean metric.

Attributes	Values
rdfs:label	Eight-dimensional space (en) 八维空间 (zh)
rdfs:comment	在數學中，一個n實數的序列可以被理解為n維空間中的一個位置。當n等於八時，所有這樣的位置的集合被稱為八維空間。通常這種空間被研究為一個向量空間，而沒有任何距離的概念。八維歐幾里得空間是一個配備了一個歐幾里得距離的八維空間，它由點積定義。更廣義的來說，該術語可以指任何體上的八維向量空間，例如八維複矢量空間，其實際有著十六個維度。它同時也可能指八維流形例如，或其它各種幾何構造。 (zh) In mathematics, a sequence of n real numbers can be understood as a location in n-dimensional space. When n = 8, the set of all such locations is called 8-dimensional space. Often such spaces are studied as vector spaces, without any notion of distance. Eight-dimensional Euclidean space is eight-dimensional space equipped with the Euclidean metric. (en)
foaf:depiction
dcterms:subject	Multi-dimensional geometry 8 (number) Dimension
Wikipage page ID	25555117 (xsd:integer)
Wikipage revision ID	1096217026 (xsd:integer)
Link from a Wikipage to another Wikipage	Quaternion Euclidean metric Algebra of physical space Multi-dimensional geometry Hurwitz's theorem (composition algebras) Vector space Complex number Mathematics Clifford algebra N-sphere Point (geometry) 1 42 polytope 8-cube 8-demicube 8-orthoplex 8-simplex 8 (number) William Rowan Hamilton Division algebra Coxeter-Dynkin diagram Lattice (group) 2 41 polytope 240 (number) 4 21 polytope E8 (mathematics) Euclidean space Field (mathematics) Dimension (vector space) Regular polytope Dimension Harold Scott MacDonald Coxeter Isomorphic Coxeter group Biquaternion Manifold Special relativity Springer Science+Business Media Neil Sloane Real number Warren Siegel Kissing number problem Uniform 8-polytope Polytope Spacetime algebra List of regular polytopes 8-sphere Normed division algebra Pauli algebra
Link from a Wikipage to an external page	http://nugae.wordpress.com/2007/04/25/on-quaternions-and-octonions/ http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/kiss.html http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html
sameAs	Eight-dimensional space Eight-dimensional space Eight-dimensional space Eight-dimensional space Eight-dimensional space
dbp:wikiPageUsesTemplate	dbt:CDD dbt:Citation dbt:ISBN dbt:Main dbt:Math dbt:Reflist dbt:Short_description dbt:Dimension_topics
thumbnail	wiki-commons:Special:FilePath/8-simplex_t0.svg?width=300
has abstract	In mathematics, a sequence of n real numbers can be understood as a location in n-dimensional space. When n = 8, the set of all such locations is called 8-dimensional space. Often such spaces are studied as vector spaces, without any notion of distance. Eight-dimensional Euclidean space is eight-dimensional space equipped with the Euclidean metric. More generally the term may refer to an eight-dimensional vector space over any field, such as an eight-dimensional complex vector space, which has 16 real dimensions. It may also refer to an eight-dimensional manifold such as an 8-sphere, or a variety of other geometric constructions. (en) 在數學中，一個n實數的序列可以被理解為n維空間中的一個位置。當n等於八時，所有這樣的位置的集合被稱為八維空間。通常這種空間被研究為一個向量空間，而沒有任何距離的概念。八維歐幾里得空間是一個配備了一個歐幾里得距離的八維空間，它由點積定義。更廣義的來說，該術語可以指任何體上的八維向量空間，例如八維複矢量空間，其實際有著十六個維度。它同時也可能指八維流形例如，或其它各種幾何構造。 (zh)
prov:wasDerivedFrom	wikipedia-en:Eight-dimensional_space?oldid=1096217026&ns=0
page length (characters) of wiki page	7197 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Eight-dimensional_space
is Link from a Wikipage to another Wikipage of	8D List of acronyms: 0–9 List of mathematical shapes List of polygons, polyhedra and polytopes Omnitruncated 8-simplex honeycomb Quarter 8-cubic honeycomb 8-dimensional space

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