Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Affine_space> ?p ?o }
- Affine_space abstract "In mathematics, an affine space is a geometric structure that generalizes certain properties of parallel lines in Euclidean space. In an affine space, there is no distinguished point that serves as an origin. Hence, no vector has a fixed origin and no vector can be uniquely associated to a point. In an affine space, there are instead displacement vectors between two points of the space. Thus it makes sense to subtract two points of the space, giving a vector, but it does not make sense to add two points of the space. Likewise, it makes sense to add a vector to a point of an affine space, resulting in a new point displaced from the starting point by that vector. The simplest example of an affine space is a linear subspace of a vector space that has been translated away from the origin. In finite dimensions, such an affine subspace corresponds to the solution set of an inhomogeneous linear system. The displacement vectors for that affine space live in the solution set of the corresponding homogeneous linear system, which is a linear subspace. Linear subspaces, in contrast, always contain the origin of the vector space.".
- Affine_space thumbnail Gilbert_tessellation.svg?width=300.
- Affine_space wikiPageExternalLink books?id=UZvxUBzraGAC&pg=PA1.
- Affine_space wikiPageExternalLink books?id=VXRppKJwpaAC&pg=PA11.
- Affine_space wikiPageExternalLink pps.
- Affine_space wikiPageID "298834".
- Affine_space wikiPageLength "17805".
- Affine_space wikiPageOutDegree "84".
- Affine_space wikiPageRevisionID "680444687".
- Affine_space wikiPageWikiLink Additive_inverse.
- Affine_space wikiPageWikiLink Affine_combination.
- Affine_space wikiPageWikiLink Affine_geometry.
- Affine_space wikiPageWikiLink Affine_group.
- Affine_space wikiPageWikiLink Affine_hull.
- Affine_space wikiPageWikiLink Affine_transformation.
- Affine_space wikiPageWikiLink Affine_variety.
- Affine_space wikiPageWikiLink Alice_and_Bob.
- Affine_space wikiPageWikiLink Analytic_geometry.
- Affine_space wikiPageWikiLink Bijection.
- Affine_space wikiPageWikiLink Category:Affine_geometry.
- Affine_space wikiPageWikiLink Category:Linear_algebra.
- Affine_space wikiPageWikiLink Characterization_(mathematics).
- Affine_space wikiPageWikiLink Closure_(mathematics).
- Affine_space wikiPageWikiLink Column_space.
- Affine_space wikiPageWikiLink Complex_affine_space.
- Affine_space wikiPageWikiLink Coset.
- Affine_space wikiPageWikiLink Desargues_theorem.
- Affine_space wikiPageWikiLink Desarguess_theorem.
- Affine_space wikiPageWikiLink Displacement_(vector).
- Affine_space wikiPageWikiLink Displacement_vector.
- Affine_space wikiPageWikiLink Division_ring.
- Affine_space wikiPageWikiLink Element_(mathematics).
- Affine_space wikiPageWikiLink Equipollence_(geometry).
- Affine_space wikiPageWikiLink Euclidean_space.
- Affine_space wikiPageWikiLink Exotic_affine_space.
- Affine_space wikiPageWikiLink Field_(mathematics).
- Affine_space wikiPageWikiLink Flat_(geometry).
- Affine_space wikiPageWikiLink Group_action.
- Affine_space wikiPageWikiLink Heap_(mathematics).
- Affine_space wikiPageWikiLink Hermann_Weyl.
- Affine_space wikiPageWikiLink Hyperplane_at_infinity.
- Affine_space wikiPageWikiLink Interval_measurement.
- Affine_space wikiPageWikiLink Invariant_(mathematics).
- Affine_space wikiPageWikiLink John_Wiley_&_Sons.
- Affine_space wikiPageWikiLink Level_of_measurement.
- Affine_space wikiPageWikiLink Level_set.
- Affine_space wikiPageWikiLink Line_(geometry).
- Affine_space wikiPageWikiLink Line_at_infinity.
- Affine_space wikiPageWikiLink Line_segment.
- Affine_space wikiPageWikiLink Linear_combination.
- Affine_space wikiPageWikiLink Linear_independence.
- Affine_space wikiPageWikiLink Linear_subspace.
- Affine_space wikiPageWikiLink Linearly_independent.
- Affine_space wikiPageWikiLink Marcel_Berger.
- Affine_space wikiPageWikiLink Mathematical_structure.
- Affine_space wikiPageWikiLink Mathematics.
- Affine_space wikiPageWikiLink Matrix_(mathematics).
- Affine_space wikiPageWikiLink Möbius_transformation.
- Affine_space wikiPageWikiLink Non-Desarguesian_plane.
- Affine_space wikiPageWikiLink Non-collinear_points.
- Affine_space wikiPageWikiLink Number_line.
- Affine_space wikiPageWikiLink Ordered_geometry.
- Affine_space wikiPageWikiLink Parallel_(geometry).
- Affine_space wikiPageWikiLink Parallel_lines.
- Affine_space wikiPageWikiLink Parallelogram.
- Affine_space wikiPageWikiLink Plane_(geometry).
- Affine_space wikiPageWikiLink Point_(geometry).
- Affine_space wikiPageWikiLink Point_at_infinity.
- Affine_space wikiPageWikiLink Principal_homogeneous_space.
- Affine_space wikiPageWikiLink Projective_group.
- Affine_space wikiPageWikiLink Projective_linear_group.
- Affine_space wikiPageWikiLink Projective_plane.
- Affine_space wikiPageWikiLink Projective_space.
- Affine_space wikiPageWikiLink Quotient_map.
- Affine_space wikiPageWikiLink Quotient_space_(topology).
- Affine_space wikiPageWikiLink Real_coordinate_space.
- Affine_space wikiPageWikiLink Riemann_sphere.
- Affine_space wikiPageWikiLink Row_and_column_spaces.
- Affine_space wikiPageWikiLink Scalar_(mathematics).
- Affine_space wikiPageWikiLink Scalar_multiplication.
- Affine_space wikiPageWikiLink Space_(mathematics).
- Affine_space wikiPageWikiLink Statistics.
- Affine_space wikiPageWikiLink Structure_(mathematics).
- Affine_space wikiPageWikiLink Subgroup.
- Affine_space wikiPageWikiLink Synthetic_geometry.
- Affine_space wikiPageWikiLink Translation_(geometry).
- Affine_space wikiPageWikiLink Triangle.
- Affine_space wikiPageWikiLink Up_to.
- Affine_space wikiPageWikiLink Vector_space.
- Affine_space wikiPageWikiLink Vector_subspace.
- Affine_space wikiPageWikiLink Zero_object_(algebra).
- Affine_space wikiPageWikiLink Zero_vector_space.
- Affine_space wikiPageWikiLink File:Affine_space,_projective_space,_vector_space.svg.
- Affine_space wikiPageWikiLink File:Gilbert_tessellation.svg.
- Affine_space wikiPageWikiLinkText "(affine) spaces of points".
- Affine_space wikiPageWikiLinkText "Affine ''n''-space".
- Affine_space wikiPageWikiLinkText "Affine space".
- Affine_space wikiPageWikiLinkText "Affine space#Affine combinations and affine dependence".
- Affine_space wikiPageWikiLinkText "Affine space#Informal descriptions".
- Affine_space wikiPageWikiLinkText "affine ''n''-space".