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In physics and mathematics, a sequence of n numbers can also be understood as a location in n-dimensional space. When n = 9, the set of all such locations is called 9-dimensional Euclidean space. Nine dimensional elliptical space and hyperbolic spaces are also studied, with constant positive and negative curvature.

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  • Nine-dimensional space
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  • In physics and mathematics, a sequence of n numbers can also be understood as a location in n-dimensional space. When n = 9, the set of all such locations is called 9-dimensional Euclidean space. Nine dimensional elliptical space and hyperbolic spaces are also studied, with constant positive and negative curvature.
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  • Nine-dimensional space
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  • 31(xsd:integer)
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  • May
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  • 2010(xsd:integer)
abstract
  • In physics and mathematics, a sequence of n numbers can also be understood as a location in n-dimensional space. When n = 9, the set of all such locations is called 9-dimensional Euclidean space. Nine dimensional elliptical space and hyperbolic spaces are also studied, with constant positive and negative curvature. Abstract nine-dimensional space occurs frequently in mathematics, and is a perfectly legitimate construct. Whether or not the real universe in which we live is somehow nine-dimensional is a topic that is debated and explored in several branches of physics, including astrophysics and particle physics. Formally nine-dimensional Euclidean space is generated by considering all real 9-tuples as 9-vectors in this space. As such it has the properties of all Euclidian spaces, so it is linear, has a metric and a full set of vector operations. In particular the dot product between two 9-vectors is readily defined, and can be used to calculate the metric. 9 × 9 matrices can be used to describe transformations such as rotations which keep the origin fixed.
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