Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Six-dimensional_space> ?p ?o }
- Six-dimensional_space abstract "Six-dimensional space is any space that has six dimensions, that is, six degrees of freedom, and that needs six pieces of data, or coordinates, to specify a location in this space. There are an infinite number of these, but those of most interest are simpler ones that model some aspect of the environment. Of particular interest is six-dimensional Euclidean space, in which 6-polytopes and the 5-sphere are constructed. Six-dimensional elliptical space and hyperbolic spaces are also studied, with constant positive and negative curvature.Formally, six-dimensional Euclidean space, ℝ6, is generated by considering all real 6-tuples as 6-vectors in this space. As such it has the properties of all Euclidean spaces, so it is linear, has a metric and a full set of vector operations. In particular the dot product between two 6-vectors is readily defined, and can be used to calculate the metric. 6 × 6 matrices can be used to describe transformations such as rotations that keep the origin fixed.More generally, any space that can be described locally with six coordinates, not necessarily Euclidean ones, is six-dimensional. One example is the surface of the 6-sphere, S6. This is the set of all points in seven-dimensional Euclidean space ℝ7 that are equidistant from the origin. This constraint reduces the number of coordinates needed to describe a point on the 6-sphere by one, so it has six dimensions. Such non-Euclidean spaces are far more common than Euclidean spaces, and in six dimensions they have far more applications.".
- Six-dimensional_space thumbnail 6-simplex_t0.svg?width=300.
- Six-dimensional_space wikiPageID "24639265".
- Six-dimensional_space wikiPageLength "16577".
- Six-dimensional_space wikiPageOutDegree "121".
- Six-dimensional_space wikiPageRevisionID "674547053".
- Six-dimensional_space wikiPageWikiLink 1_22_polytope.
- Six-dimensional_space wikiPageWikiLink 2_21_polytope.
- Six-dimensional_space wikiPageWikiLink 3-sphere.
- Six-dimensional_space wikiPageWikiLink 6-cube.
- Six-dimensional_space wikiPageWikiLink 6-demicube.
- Six-dimensional_space wikiPageWikiLink 6-orthoplex.
- Six-dimensional_space wikiPageWikiLink 6-simplex.
- Six-dimensional_space wikiPageWikiLink 7-cube.
- Six-dimensional_space wikiPageWikiLink Algebraic_manifold.
- Six-dimensional_space wikiPageWikiLink Angular_velocity.
- Six-dimensional_space wikiPageWikiLink Barth-Nieto_quintic.
- Six-dimensional_space wikiPageWikiLink Barth–Nieto_quintic.
- Six-dimensional_space wikiPageWikiLink Basis_(linear_algebra).
- Six-dimensional_space wikiPageWikiLink Basis_vector.
- Six-dimensional_space wikiPageWikiLink Biquaternion.
- Six-dimensional_space wikiPageWikiLink Bivector.
- Six-dimensional_space wikiPageWikiLink Bivector_(complex).
- Six-dimensional_space wikiPageWikiLink Calabi–Yau_manifold.
- Six-dimensional_space wikiPageWikiLink Cambridge_University_Press.
- Six-dimensional_space wikiPageWikiLink Category:Dimension.
- Six-dimensional_space wikiPageWikiLink Category:Multi-dimensional_geometry.
- Six-dimensional_space wikiPageWikiLink Combination.
- Six-dimensional_space wikiPageWikiLink Compactification_(physics).
- Six-dimensional_space wikiPageWikiLink Complex_manifold.
- Six-dimensional_space wikiPageWikiLink Complex_plane.
- Six-dimensional_space wikiPageWikiLink Coordinate_system.
- Six-dimensional_space wikiPageWikiLink Coordinates.
- Six-dimensional_space wikiPageWikiLink Covering_space.
- Six-dimensional_space wikiPageWikiLink Coxeter-Dynkin_diagram.
- Six-dimensional_space wikiPageWikiLink Coxeter_group.
- Six-dimensional_space wikiPageWikiLink Coxeter–Dynkin_diagram.
- Six-dimensional_space wikiPageWikiLink Cross_product.
- Six-dimensional_space wikiPageWikiLink Differential_geometry.
- Six-dimensional_space wikiPageWikiLink Differential_operator.
- Six-dimensional_space wikiPageWikiLink Dot_product.
- Six-dimensional_space wikiPageWikiLink Double_cover_(topology).
- Six-dimensional_space wikiPageWikiLink E6_(mathematics).
- Six-dimensional_space wikiPageWikiLink Edwin_Bidwell_Wilson.
- Six-dimensional_space wikiPageWikiLink Electric_field.
- Six-dimensional_space wikiPageWikiLink Electromagnetic_field.
- Six-dimensional_space wikiPageWikiLink Electromagnetic_tensor.
- Six-dimensional_space wikiPageWikiLink Electromagnetism.
- Six-dimensional_space wikiPageWikiLink Elliptic_geometry.
- Six-dimensional_space wikiPageWikiLink Elliptical_space.
- Six-dimensional_space wikiPageWikiLink Euclidean_space.
- Six-dimensional_space wikiPageWikiLink Euclidean_vector.
- Six-dimensional_space wikiPageWikiLink Exponential_map_(Lie_theory).
- Six-dimensional_space wikiPageWikiLink Exponentiation.
- Six-dimensional_space wikiPageWikiLink Exterior_algebra.
- Six-dimensional_space wikiPageWikiLink Fields_Medal.
- Six-dimensional_space wikiPageWikiLink Force.
- Six-dimensional_space wikiPageWikiLink Four-current.
- Six-dimensional_space wikiPageWikiLink General_relativity.
- Six-dimensional_space wikiPageWikiLink Heisuke_Hironaka.
- Six-dimensional_space wikiPageWikiLink Hyperbolic_space.
- Six-dimensional_space wikiPageWikiLink J._W._Gibbs.
- Six-dimensional_space wikiPageWikiLink Josiah_Willard_Gibbs.
- Six-dimensional_space wikiPageWikiLink Line_(geometry).
- Six-dimensional_space wikiPageWikiLink Line_(mathematics).
- Six-dimensional_space wikiPageWikiLink Linear.
- Six-dimensional_space wikiPageWikiLink Linearity.
- Six-dimensional_space wikiPageWikiLink List_of_regular_polytopes.
- Six-dimensional_space wikiPageWikiLink List_of_regular_polytopes_and_compounds.
- Six-dimensional_space wikiPageWikiLink Little_string_theory.
- Six-dimensional_space wikiPageWikiLink Lorentz_group.
- Six-dimensional_space wikiPageWikiLink Magnetic_field.
- Six-dimensional_space wikiPageWikiLink Main_diagonal.
- Six-dimensional_space wikiPageWikiLink Manifold.
- Six-dimensional_space wikiPageWikiLink Matrix_(mathematics).
- Six-dimensional_space wikiPageWikiLink Maxwells_equations.
- Six-dimensional_space wikiPageWikiLink Metric_(mathematics).
- Six-dimensional_space wikiPageWikiLink Momentum.
- Six-dimensional_space wikiPageWikiLink Non-Euclidean_geometry.
- Six-dimensional_space wikiPageWikiLink Norm_(mathematics).
- Six-dimensional_space wikiPageWikiLink Orthogonal_matrix.
- Six-dimensional_space wikiPageWikiLink Phase_diagram.
- Six-dimensional_space wikiPageWikiLink Piergiorgio_Odifreddi.
- Six-dimensional_space wikiPageWikiLink Polytope.
- Six-dimensional_space wikiPageWikiLink Quantum_mechanics.
- Six-dimensional_space wikiPageWikiLink Quaternion.
- Six-dimensional_space wikiPageWikiLink Quintic_threefold.
- Six-dimensional_space wikiPageWikiLink Real_number.
- Six-dimensional_space wikiPageWikiLink Regular_polytope.
- Six-dimensional_space wikiPageWikiLink Rotation.
- Six-dimensional_space wikiPageWikiLink Rotation_group_SO(3).
- Six-dimensional_space wikiPageWikiLink Rotations_in_4-dimensional_Euclidean_space.
- Six-dimensional_space wikiPageWikiLink SO(4).
- Six-dimensional_space wikiPageWikiLink Shigefumi_Mori.
- Six-dimensional_space wikiPageWikiLink Shing-Tung_Yau.
- Six-dimensional_space wikiPageWikiLink Six_degrees_of_freedom.
- Six-dimensional_space wikiPageWikiLink Spacetime.
- Six-dimensional_space wikiPageWikiLink String_theory.
- Six-dimensional_space wikiPageWikiLink Tensor.
- Six-dimensional_space wikiPageWikiLink Tensor_product.