User:LittleWhole/Ten-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 = 10, the set of all such locations is called 10-dimensional space. Often such spaces are studied as vector spaces, without any notion of distance. Ten-dimensional Euclidean space is ten-dimensional space equipped with a Euclidean metric, which is defined by the dot product.[Dubious – discuss]
More generally the term may refer to a ten-dimensional vector space over any field, such as an ten-dimensional complex vector space, which has 20 real dimensions. It may also refer to an Ten-dimensional manifold such as an 10-sphere, or a variety of other geometric constructions.