Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Orientation_(vector_space)> ?p ?o }
- Orientation_(vector_space) abstract "In mathematics, orientation is a geometric notion that in two dimensions allows one to say when a cycle goes around clockwise or counterclockwise, and in three dimensions when a figure is left-handed or right-handed. In linear algebra, the notion of orientation makes sense in arbitrary finite dimension. In this setting, the orientation of an ordered basis is a kind of asymmetry that makes a reflection impossible to replicate by means of a simple rotation. Thus, in three dimensions, it is impossible to make the left hand of a human figure into the right hand of the figure by applying a rotation alone, but it is possible to do so by reflecting the figure in a mirror. As a result, in the three-dimensional Euclidean space, the two possible basis orientations are called right-handed and left-handed (or right-chiral and left-chiral).The orientation on a real vector space is the arbitrary choice of which ordered bases are \"positively\" oriented and which are \"negatively\" oriented. In the three-dimensional Euclidean space, right-handed bases are typically declared to be positively oriented, but the choice is arbitrary, as they may also be assigned a negative orientation. A vector space with an orientation selected is called an oriented vector space, while one not having an orientation selected, is called unoriented.".
- Orientation_(vector_space) thumbnail Cartesian_coordinate_system_handedness.svg?width=300.
- Orientation_(vector_space) wikiPageID "1391942".
- Orientation_(vector_space) wikiPageLength "14219".
- Orientation_(vector_space) wikiPageOutDegree "67".
- Orientation_(vector_space) wikiPageRevisionID "699937028".
- Orientation_(vector_space) wikiPageWikiLink Basis_(linear_algebra).
- Orientation_(vector_space) wikiPageWikiLink Binomial_coefficient.
- Orientation_(vector_space) wikiPageWikiLink Bivector.
- Orientation_(vector_space) wikiPageWikiLink Cartesian_coordinate_system.
- Orientation_(vector_space) wikiPageWikiLink Category:Analytic_geometry.
- Orientation_(vector_space) wikiPageWikiLink Category:Linear_algebra.
- Orientation_(vector_space) wikiPageWikiLink Category:Orientation_(geometry).
- Orientation_(vector_space) wikiPageWikiLink Chirality_(mathematics).
- Orientation_(vector_space) wikiPageWikiLink Connected_space.
- Orientation_(vector_space) wikiPageWikiLink Determinant.
- Orientation_(vector_space) wikiPageWikiLink Dimension_(vector_space).
- Orientation_(vector_space) wikiPageWikiLink Dual_basis.
- Orientation_(vector_space) wikiPageWikiLink Equivalence_class.
- Orientation_(vector_space) wikiPageWikiLink Equivalence_relation.
- Orientation_(vector_space) wikiPageWikiLink Euclidean_space.
- Orientation_(vector_space) wikiPageWikiLink Euclidean_vector.
- Orientation_(vector_space) wikiPageWikiLink Exterior_algebra.
- Orientation_(vector_space) wikiPageWikiLink Fundamental_theorem_of_calculus.
- Orientation_(vector_space) wikiPageWikiLink General_linear_group.
- Orientation_(vector_space) wikiPageWikiLink Geometric_algebra.
- Orientation_(vector_space) wikiPageWikiLink Group_action.
- Orientation_(vector_space) wikiPageWikiLink Homeomorphism.
- Orientation_(vector_space) wikiPageWikiLink Identity_component.
- Orientation_(vector_space) wikiPageWikiLink Isomorphism.
- Orientation_(vector_space) wikiPageWikiLink Line_(geometry).
- Orientation_(vector_space) wikiPageWikiLink Line_segment.
- Orientation_(vector_space) wikiPageWikiLink Linear_algebra.
- Orientation_(vector_space) wikiPageWikiLink Linear_form.
- Orientation_(vector_space) wikiPageWikiLink Linear_map.
- Orientation_(vector_space) wikiPageWikiLink Manifold.
- Orientation_(vector_space) wikiPageWikiLink Mathematics.
- Orientation_(vector_space) wikiPageWikiLink Orientability.
- Orientation_(vector_space) wikiPageWikiLink Orientation_of_a_vector_bundle.
- Orientation_(vector_space) wikiPageWikiLink Parity_of_a_permutation.
- Orientation_(vector_space) wikiPageWikiLink Permutation.
- Orientation_(vector_space) wikiPageWikiLink Permutation_matrix.
- Orientation_(vector_space) wikiPageWikiLink Plane_(geometry).
- Orientation_(vector_space) wikiPageWikiLink Principal_homogeneous_space.
- Orientation_(vector_space) wikiPageWikiLink Pseudovector.
- Orientation_(vector_space) wikiPageWikiLink Real_number.
- Orientation_(vector_space) wikiPageWikiLink Reflection_(mathematics).
- Orientation_(vector_space) wikiPageWikiLink Right-hand_rule.
- Orientation_(vector_space) wikiPageWikiLink Rotation_(mathematics).
- Orientation_(vector_space) wikiPageWikiLink Rotation_formalisms_in_three_dimensions.
- Orientation_(vector_space) wikiPageWikiLink Sign_convention.
- Orientation_(vector_space) wikiPageWikiLink Standard_basis.
- Orientation_(vector_space) wikiPageWikiLink Stiefel_manifold.
- Orientation_(vector_space) wikiPageWikiLink Stokes_theorem.
- Orientation_(vector_space) wikiPageWikiLink Tangent_space.
- Orientation_(vector_space) wikiPageWikiLink Tangential_and_normal_components.
- Orientation_(vector_space) wikiPageWikiLink Topology.
- Orientation_(vector_space) wikiPageWikiLink Vector_space.
- Orientation_(vector_space) wikiPageWikiLink File:Cartesian_coordinate_system_handedness.svg.
- Orientation_(vector_space) wikiPageWikiLink File:Surface_orientation.pdf.
- Orientation_(vector_space) wikiPageWikiLink File:Wedge_product.JPG.
- Orientation_(vector_space) wikiPageWikiLinkText "Orientation (vector space)".
- Orientation_(vector_space) wikiPageWikiLinkText "Orientation_(vector_space)#Definition".
- Orientation_(vector_space) wikiPageWikiLinkText "handedness".
- Orientation_(vector_space) wikiPageWikiLinkText "orientable".
- Orientation_(vector_space) wikiPageWikiLinkText "orientation (vector space)".
- Orientation_(vector_space) wikiPageWikiLinkText "orientation structure".
- Orientation_(vector_space) wikiPageWikiLinkText "orientation".
- Orientation_(vector_space) wikiPageWikiLinkText "orientation-preserving".
- Orientation_(vector_space) wikiPageWikiLinkText "oriented".
- Orientation_(vector_space) wikiPageWikiLinkText "positively oriented basis".
- Orientation_(vector_space) wikiPageWikiLinkText "right handed coordinate system".
- Orientation_(vector_space) wikiPageWikiLinkText "right-handed".
- Orientation_(vector_space) id "p/o070200".
- Orientation_(vector_space) title "Orientation".
- Orientation_(vector_space) wikiPageUsesTemplate Template:Main.
- Orientation_(vector_space) wikiPageUsesTemplate Template:Reflist.
- Orientation_(vector_space) wikiPageUsesTemplate Template:See_also.
- Orientation_(vector_space) wikiPageUsesTemplate Template:Springer.
- Orientation_(vector_space) wikiPageUsesTemplate Template:Visible_anchor.
- Orientation_(vector_space) subject Category:Analytic_geometry.
- Orientation_(vector_space) subject Category:Linear_algebra.
- Orientation_(vector_space) subject Category:Orientation_(geometry).
- Orientation_(vector_space) hypernym Notion.
- Orientation_(vector_space) type Country.
- Orientation_(vector_space) type Redirect.
- Orientation_(vector_space) type Thing.
- Orientation_(vector_space) comment "In mathematics, orientation is a geometric notion that in two dimensions allows one to say when a cycle goes around clockwise or counterclockwise, and in three dimensions when a figure is left-handed or right-handed. In linear algebra, the notion of orientation makes sense in arbitrary finite dimension. In this setting, the orientation of an ordered basis is a kind of asymmetry that makes a reflection impossible to replicate by means of a simple rotation.".
- Orientation_(vector_space) label "Orientation (vector space)".
- Orientation_(vector_space) seeAlso Orientation_(geometry).
- Orientation_(vector_space) sameAs Q1477782.
- Orientation_(vector_space) sameAs Orientace_(matematika).
- Orientation_(vector_space) sameAs Orientierung_(Mathematik).
- Orientation_(vector_space) sameAs Orientiĝo_(matematiko).
- Orientation_(vector_space) sameAs Orientation_(mathématiques).
- Orientation_(vector_space) sameAs אוריינטציה_(אלגברה_לינארית).
- Orientation_(vector_space) sameAs Կողմնորոշվածություն.
- Orientation_(vector_space) sameAs Orientazione.
- Orientation_(vector_space) sameAs 向き.
- Orientation_(vector_space) sameAs Oriëntatie_(chiraliteit).