Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Seven-dimensional_cross_product> ?p ?o }
Showing triples 1 to 94 of
94
with 100 triples per page.
- Seven-dimensional_cross_product abstract "In mathematics, the seven-dimensional cross product is a bilinear operation on vectors in seven-dimensional Euclidean space. It assigns to any two vectors a, b in R7 a vector a × b also in R7. Like the cross product in three dimensions, the seven-dimensional product is anticommutative and a × b is orthogonal both to a and to b. Unlike in three dimensions, it does not satisfy the Jacobi identity. And while the three-dimensional cross product is unique up to a sign, there are many seven-dimensional cross products. The seven-dimensional cross product has the same relationship to octonions as the three-dimensional product does to quaternions.The seven-dimensional cross product is one way of generalising the cross product to other than three dimensions, and it is the only other non-trivial bilinear product of two vectors that is vector valued, anticommutative and orthogonal. In other dimensions there are vector-valued products of three or more vectors that satisfy these conditions, and binary products with bivector results.".
- Seven-dimensional_cross_product wikiPageExternalLink 310.
- Seven-dimensional_cross_product wikiPageID "2368531".
- Seven-dimensional_cross_product wikiPageLength "31629".
- Seven-dimensional_cross_product wikiPageOutDegree "57".
- Seven-dimensional_cross_product wikiPageRevisionID "679898665".
- Seven-dimensional_cross_product wikiPageWikiLink Alternating_operator.
- Seven-dimensional_cross_product wikiPageWikiLink Angle.
- Seven-dimensional_cross_product wikiPageWikiLink Anticommutativity.
- Seven-dimensional_cross_product wikiPageWikiLink Associator.
- Seven-dimensional_cross_product wikiPageWikiLink Bilinear_map.
- Seven-dimensional_cross_product wikiPageWikiLink Bilinear_operation.
- Seven-dimensional_cross_product wikiPageWikiLink Bivector.
- Seven-dimensional_cross_product wikiPageWikiLink Category:Bilinear_operators.
- Seven-dimensional_cross_product wikiPageWikiLink Category:Binary_operations.
- Seven-dimensional_cross_product wikiPageWikiLink Category:Linear_algebra.
- Seven-dimensional_cross_product wikiPageWikiLink Category:Octonions.
- Seven-dimensional_cross_product wikiPageWikiLink Category:Vectors.
- Seven-dimensional_cross_product wikiPageWikiLink Commentarii_Mathematici_Helvetici.
- Seven-dimensional_cross_product wikiPageWikiLink Composition_algebra.
- Seven-dimensional_cross_product wikiPageWikiLink Cross_product.
- Seven-dimensional_cross_product wikiPageWikiLink Dot_product.
- Seven-dimensional_cross_product wikiPageWikiLink Euclidean_space.
- Seven-dimensional_cross_product wikiPageWikiLink Exterior_algebra.
- Seven-dimensional_cross_product wikiPageWikiLink Exterior_product.
- Seven-dimensional_cross_product wikiPageWikiLink Fano_plane.
- Seven-dimensional_cross_product wikiPageWikiLink G2_(mathematics).
- Seven-dimensional_cross_product wikiPageWikiLink Geometric_algebra.
- Seven-dimensional_cross_product wikiPageWikiLink Gramian_matrix.
- Seven-dimensional_cross_product wikiPageWikiLink Hodge_dual.
- Seven-dimensional_cross_product wikiPageWikiLink Hurwitzs_theorem_(composition_algebras).
- Seven-dimensional_cross_product wikiPageWikiLink Hurwitzs_theorem_(normed_division_algebras).
- Seven-dimensional_cross_product wikiPageWikiLink Jacobi_identity.
- Seven-dimensional_cross_product wikiPageWikiLink Malcev_algebra.
- Seven-dimensional_cross_product wikiPageWikiLink Mathematics.
- Seven-dimensional_cross_product wikiPageWikiLink Modular_arithmetic.
- Seven-dimensional_cross_product wikiPageWikiLink Multi-linear.
- Seven-dimensional_cross_product wikiPageWikiLink Multilinear_map.
- Seven-dimensional_cross_product wikiPageWikiLink Multivector.
- Seven-dimensional_cross_product wikiPageWikiLink Norm_(mathematics).
- Seven-dimensional_cross_product wikiPageWikiLink Normed_division_algebra.
- Seven-dimensional_cross_product wikiPageWikiLink Octonion.
- Seven-dimensional_cross_product wikiPageWikiLink Orthogonal_complement.
- Seven-dimensional_cross_product wikiPageWikiLink Orthogonal_group.
- Seven-dimensional_cross_product wikiPageWikiLink Orthogonality.
- Seven-dimensional_cross_product wikiPageWikiLink Orthonormal_basis.
- Seven-dimensional_cross_product wikiPageWikiLink Parallelepiped.
- Seven-dimensional_cross_product wikiPageWikiLink Parallelogram.
- Seven-dimensional_cross_product wikiPageWikiLink Parallelotope.
- Seven-dimensional_cross_product wikiPageWikiLink Pseudoscalar.
- Seven-dimensional_cross_product wikiPageWikiLink Quaternion.
- Seven-dimensional_cross_product wikiPageWikiLink Rotation_group_SO(3).
- Seven-dimensional_cross_product wikiPageWikiLink SO(3).
- Seven-dimensional_cross_product wikiPageWikiLink Scalar_triple_product.
- Seven-dimensional_cross_product wikiPageWikiLink Seven-dimensional_space.
- Seven-dimensional_cross_product wikiPageWikiLink Triple_product.
- Seven-dimensional_cross_product wikiPageWikiLink Trivector.
- Seven-dimensional_cross_product wikiPageWikiLink Vector_(mathematics).
- Seven-dimensional_cross_product wikiPageWikiLink Vector_space.
- Seven-dimensional_cross_product wikiPageWikiLink Vector_triple_product.
- Seven-dimensional_cross_product wikiPageWikiLink File:Fano_plane_for_7-D_cross_product.svg.
- Seven-dimensional_cross_product wikiPageWikiLinkText "7".
- Seven-dimensional_cross_product wikiPageWikiLinkText "Seven-dimensional cross product".
- Seven-dimensional_cross_product wikiPageWikiLinkText "be defined".
- Seven-dimensional_cross_product wikiPageWikiLinkText "seven dimensions".
- Seven-dimensional_cross_product wikiPageWikiLinkText "seven".
- Seven-dimensional_cross_product wikiPageWikiLinkText "seven-dimensional cross product".
- Seven-dimensional_cross_product hasPhotoCollection Seven-dimensional_cross_product.
- Seven-dimensional_cross_product wikiPageUsesTemplate Template:Arxiv.
- Seven-dimensional_cross_product wikiPageUsesTemplate Template:Citation_needed.
- Seven-dimensional_cross_product wikiPageUsesTemplate Template:Cite_book.
- Seven-dimensional_cross_product wikiPageUsesTemplate Template:Cite_journal.
- Seven-dimensional_cross_product wikiPageUsesTemplate Template:Math.
- Seven-dimensional_cross_product wikiPageUsesTemplate Template:Reflist.
- Seven-dimensional_cross_product subject Category:Bilinear_operators.
- Seven-dimensional_cross_product subject Category:Binary_operations.
- Seven-dimensional_cross_product subject Category:Linear_algebra.
- Seven-dimensional_cross_product subject Category:Octonions.
- Seven-dimensional_cross_product subject Category:Vectors.
- Seven-dimensional_cross_product hypernym Operation.
- Seven-dimensional_cross_product type Article.
- Seven-dimensional_cross_product type MilitaryConflict.
- Seven-dimensional_cross_product type Algebra.
- Seven-dimensional_cross_product type Article.
- Seven-dimensional_cross_product comment "In mathematics, the seven-dimensional cross product is a bilinear operation on vectors in seven-dimensional Euclidean space. It assigns to any two vectors a, b in R7 a vector a × b also in R7. Like the cross product in three dimensions, the seven-dimensional product is anticommutative and a × b is orthogonal both to a and to b. Unlike in three dimensions, it does not satisfy the Jacobi identity.".
- Seven-dimensional_cross_product label "Seven-dimensional cross product".
- Seven-dimensional_cross_product sameAs Produit_vectoriel_en_dimension_7.
- Seven-dimensional_cross_product sameAs Produto_cruzado_de_sete_dimensões.
- Seven-dimensional_cross_product sameAs m.076_zn.
- Seven-dimensional_cross_product sameAs Векторное_произведение_в_семимерном_пространстве.
- Seven-dimensional_cross_product sameAs Q3406765.
- Seven-dimensional_cross_product sameAs Q3406765.
- Seven-dimensional_cross_product wasDerivedFrom Seven-dimensional_cross_product?oldid=679898665.
- Seven-dimensional_cross_product isPrimaryTopicOf Seven-dimensional_cross_product.