Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Incidence_geometry> ?p ?o }
- Incidence_geometry abstract "In mathematics, incidence geometry is the study of incidence structures. A geometry such as the Euclidean plane is a complicated object involving concepts such as length, angles, continuity, betweenness and incidence. An incidence structure is what is obtained when all the other concepts are removed and all that remains is the data about which points lie on which lines. Even with this severe limitation, theorems can be proved and interesting facts emerge concerning this structure. Such fundamental results remain valid when additional concepts are added back to form a richer geometry. It sometimes happens that authors will blur the distinction between a study and the objects of that study, so it is not surprising to find that some authors will refer to incidence structures as incidence geometries.Incidence structures arise naturally and have been studied in various areas of mathematics. Consequently there are different terminologies used to describe these objects. In graph theory they are called hypergraphs and in combinatorial design theory they are called block designs. Besides the difference in terminology, each area approaches the subject differently and is interested in the types of questions about these objects that are relevant to that discipline. Using geometric language, as is done in incidence geometry, shapes the topics and examples that are normally presented. It is, however, possible to translate the results from one discipline into the terminology of another, but this often leads to awkward and convoluted statements which do not appear to be natural outgrowths of the topics. In the examples selected for this article we will use only those which have a natural geometric flavor.A special case that has generated much interest deals with finite sets of points in the Euclidean plane and what can be said about the number and types of (straight) lines that are determined by them. Some of the results of this situation can be extended to more general settings since only incidence properties are being considered.".
- Incidence_geometry wikiPageExternalLink Incidence_system.
- Incidence_geometry wikiPageID "1576323".
- Incidence_geometry wikiPageLength "24398".
- Incidence_geometry wikiPageOutDegree "79".
- Incidence_geometry wikiPageRevisionID "678926983".
- Incidence_geometry wikiPageWikiLink Affine_plane_(incidence_geometry).
- Incidence_geometry wikiPageWikiLink Bijection.
- Incidence_geometry wikiPageWikiLink Bipartite_graph.
- Incidence_geometry wikiPageWikiLink Block_design.
- Incidence_geometry wikiPageWikiLink Category:Incidence_geometry.
- Incidence_geometry wikiPageWikiLink Collinear.
- Incidence_geometry wikiPageWikiLink Collinearity.
- Incidence_geometry wikiPageWikiLink Combinatorial_design.
- Incidence_geometry wikiPageWikiLink Complete_graph.
- Incidence_geometry wikiPageWikiLink Complete_quadrangle.
- Incidence_geometry wikiPageWikiLink Complex_projective_plane.
- Incidence_geometry wikiPageWikiLink Configuration_(geometry).
- Incidence_geometry wikiPageWikiLink Cremona-Richmond_configuration.
- Incidence_geometry wikiPageWikiLink Cremona–Richmond_configuration.
- Incidence_geometry wikiPageWikiLink Cycle_(graph_theory).
- Incidence_geometry wikiPageWikiLink De_Bruijn–Erdős_theorem_(incidence_geometry).
- Incidence_geometry wikiPageWikiLink Diameter_(graph_theory).
- Incidence_geometry wikiPageWikiLink Distance_(graph_theory).
- Incidence_geometry wikiPageWikiLink Elliptic_curve.
- Incidence_geometry wikiPageWikiLink Encyclopedia_of_Mathematics.
- Incidence_geometry wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Incidence_geometry wikiPageWikiLink Euclidean_plane.
- Incidence_geometry wikiPageWikiLink Fano_plane.
- Incidence_geometry wikiPageWikiLink Finite_geometry.
- Incidence_geometry wikiPageWikiLink Finite_simple_groups.
- Incidence_geometry wikiPageWikiLink Generalized_polygon.
- Incidence_geometry wikiPageWikiLink Generalized_quadrangle.
- Incidence_geometry wikiPageWikiLink Geometry.
- Incidence_geometry wikiPageWikiLink Gino_Fano.
- Incidence_geometry wikiPageWikiLink Girth_(graph_theory).
- Incidence_geometry wikiPageWikiLink Graph_theory.
- Incidence_geometry wikiPageWikiLink Hesse_configuration.
- Incidence_geometry wikiPageWikiLink Hypergraph.
- Incidence_geometry wikiPageWikiLink Incidence_(geometry).
- Incidence_geometry wikiPageWikiLink Incidence_structure.
- Incidence_geometry wikiPageWikiLink Inflection_point.
- Incidence_geometry wikiPageWikiLink Intersection_theorem.
- Incidence_geometry wikiPageWikiLink J.J._Sylvester.
- Incidence_geometry wikiPageWikiLink James_Joseph_Sylvester.
- Incidence_geometry wikiPageWikiLink Klein_configuration.
- Incidence_geometry wikiPageWikiLink Kummer_configuration.
- Incidence_geometry wikiPageWikiLink Levi_graph.
- Incidence_geometry wikiPageWikiLink Linear_space_(geometry).
- Incidence_geometry wikiPageWikiLink List_of_finite_simple_groups.
- Incidence_geometry wikiPageWikiLink Mathematical_induction.
- Incidence_geometry wikiPageWikiLink Mathematics.
- Incidence_geometry wikiPageWikiLink Metric_(mathematics).
- Incidence_geometry wikiPageWikiLink Mobius-Kantor_configuration.
- Incidence_geometry wikiPageWikiLink Moufang_polygon.
- Incidence_geometry wikiPageWikiLink Möbius–Kantor_configuration.
- Incidence_geometry wikiPageWikiLink Near_polygon.
- Incidence_geometry wikiPageWikiLink Nicolaas_Govert_de_Bruijn.
- Incidence_geometry wikiPageWikiLink Non-Desarguesian_plane.
- Incidence_geometry wikiPageWikiLink Partial_geometry.
- Incidence_geometry wikiPageWikiLink Partial_linear_space.
- Incidence_geometry wikiPageWikiLink Path_(graph_theory).
- Incidence_geometry wikiPageWikiLink Paul_Erdős.
- Incidence_geometry wikiPageWikiLink Playfairs_axiom.
- Incidence_geometry wikiPageWikiLink Polar_space.
- Incidence_geometry wikiPageWikiLink Polygon.
- Incidence_geometry wikiPageWikiLink Prime_power.
- Incidence_geometry wikiPageWikiLink Projective_geometry.
- Incidence_geometry wikiPageWikiLink Projective_plane.
- Incidence_geometry wikiPageWikiLink Projective_space.
- Incidence_geometry wikiPageWikiLink Reye_configuration.
- Incidence_geometry wikiPageWikiLink Schläfli_double_six.
- Incidence_geometry wikiPageWikiLink Springer-Verlag.
- Incidence_geometry wikiPageWikiLink Springer_Science+Business_Media.
- Incidence_geometry wikiPageWikiLink Steiner_system.
- Incidence_geometry wikiPageWikiLink Sylvester–Gallai_configuration.
- Incidence_geometry wikiPageWikiLink Sylvester–Gallai_theorem.
- Incidence_geometry wikiPageWikiLink Tibor_Gallai.
- Incidence_geometry wikiPageWikiLink Two-dimensional_space.
- Incidence_geometry wikiPageWikiLink File:Fano_Plane.jpg.
- Incidence_geometry wikiPageWikiLink File:GQ(2,2),_the_Doily.svg.
- Incidence_geometry wikiPageWikiLink File:Hesse_configuration.svg.
- Incidence_geometry wikiPageWikiLink File:Sample_Incidence.jpg.
- Incidence_geometry wikiPageWikiLinkText "Incidence geometry".
- Incidence_geometry wikiPageWikiLinkText "incidence geometric".
- Incidence_geometry wikiPageWikiLinkText "incidence geometry".
- Incidence_geometry wikiPageWikiLinkText "point-line geometries".
- Incidence_geometry hasPhotoCollection Incidence_geometry.
- Incidence_geometry wikiPageUsesTemplate Template:Citation.
- Incidence_geometry wikiPageUsesTemplate Template:Cite_arXiv.
- Incidence_geometry wikiPageUsesTemplate Template:Cite_web.
- Incidence_geometry wikiPageUsesTemplate Template:Main.
- Incidence_geometry wikiPageUsesTemplate Template:Math.
- Incidence_geometry wikiPageUsesTemplate Template:Reflist.
- Incidence_geometry wikiPageUsesTemplate Template:Sfrac.
- Incidence_geometry subject Category:Incidence_geometry.
- Incidence_geometry hypernym Study.
- Incidence_geometry type Book.
- Incidence_geometry type Combinatoric.
- Incidence_geometry comment "In mathematics, incidence geometry is the study of incidence structures. A geometry such as the Euclidean plane is a complicated object involving concepts such as length, angles, continuity, betweenness and incidence. An incidence structure is what is obtained when all the other concepts are removed and all that remains is the data about which points lie on which lines. Even with this severe limitation, theorems can be proved and interesting facts emerge concerning this structure.".