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- Seven-dimensional_space abstract "In physics and mathematics, a sequence of n numbers can also be understood as a location in n-dimensional space. When n = 7, the set of all such locations is called 7-dimensional Euclidean space. Seven-dimensional elliptical and hyperbolic spaces are also studied, with constant positive and negative curvature.Abstract seven-dimensional space occurs frequently in mathematics, and is a perfectly legitimate construct. Whether or not the real universe in which we live is somehow seven-dimensional (or indeed higher) is a topic that is debated and explored in several branches of physics, including astrophysics and particle physics, but it does not matter for mathematics.Formally, seven-dimensional Euclidean space is generated by considering all real 7-tuples as 7-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 7-vectors is readily defined, and can be used to calculate the metric. 7 × 7 matrices can be used to describe transformations such as rotations which keep the origin fixed.A distinctive property is that a cross product can be defined only in three or seven dimensions (see seven-dimensional cross product). This is due to the existence of quaternions and octonions.".
- Seven-dimensional_space thumbnail 7-simplex_t0.svg?width=300.
- Seven-dimensional_space wikiPageID "25546470".
- Seven-dimensional_space wikiPageRevisionID "599499092".
- Seven-dimensional_space hasPhotoCollection Seven-dimensional_space.
- Seven-dimensional_space subject Category:Dimension.
- Seven-dimensional_space subject Category:Multi-dimensional_geometry.
- Seven-dimensional_space comment "In physics and mathematics, a sequence of n numbers can also be understood as a location in n-dimensional space. When n = 7, the set of all such locations is called 7-dimensional Euclidean space. Seven-dimensional elliptical and hyperbolic spaces are also studied, with constant positive and negative curvature.Abstract seven-dimensional space occurs frequently in mathematics, and is a perfectly legitimate construct.".
- Seven-dimensional_space label "Seven-dimensional space".
- Seven-dimensional_space label "Zeven-dimensionale ruimte".
- 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=599499092.
- Seven-dimensional_space depiction 7-simplex_t0.svg.
- Seven-dimensional_space isPrimaryTopicOf Seven-dimensional_space.
