| http://dbpedia.org/ontology/abstract
|
In mathematics, the Cayley configuration s … In mathematics, the Cayley configuration space of a over a set of its non-edges , called Cayley parameters, is the set of distances attained by over all its , under some -norm. In other words, each framework of the linkage prescribes a unique set of distances to the non-edges of , so the set of all frameworks can be described by the set of distances attained by any subset of these non-edges. Note that this description may not be a bijection. The motivation for using distance parameters is to define a continuous quadratic branched covering from the configuration space of a linkage to a simpler, often convex, space. Hence, obtaining a framework from a Cayley configuration space of a linkage over some set of non-edges is often a matter of solving quadratic equations. Cayley configuration spaces have a close relationship to the flattenability and of graphs.nship to the flattenability and of graphs.
|
| http://dbpedia.org/ontology/thumbnail
|
http://commons.wikimedia.org/wiki/Special:FilePath/Non-generic_Cayley_configuration_space.jpg?width=300 +
|
| http://dbpedia.org/ontology/wikiPageID
|
66478194
|
| http://dbpedia.org/ontology/wikiPageLength
|
27704
|
| http://dbpedia.org/ontology/wikiPageRevisionID
|
1097487513
|
| http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Topology +
, http://dbpedia.org/resource/Bijection +
, http://dbpedia.org/resource/Tree/_Triangle_Decomposable_Graphs +
, http://dbpedia.org/resource/Tree-decomposable_graph +
, http://dbpedia.org/resource/Generic_property +
, http://dbpedia.org/resource/Tree/_Triangle_Decomposable_Graph +
, http://dbpedia.org/resource/Graph_Flattenability +
, http://dbpedia.org/resource/Projection_%28mathematics%29 +
, http://dbpedia.org/resource/Structural_%28Combinatorial_Rigidity%29 +
, http://dbpedia.org/resource/Branched_covering +
, http://dbpedia.org/resource/Quadratic_function +
, http://dbpedia.org/resource/Semialgebraic_set +
, http://dbpedia.org/resource/Glossary_of_graph_theory_terms +
, http://dbpedia.org/resource/Forbidden_graph_characterization +
, http://dbpedia.org/resource/Fiber_%28mathematics%29 +
, http://dbpedia.org/resource/Geometry +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Euclidean_distance +
, http://dbpedia.org/resource/Partial_k-tree +
, http://dbpedia.org/resource/Continuous_function +
, http://dbpedia.org/resource/N-skeleton +
, http://dbpedia.org/resource/File:Single_interval_property_counterexamples.jpg +
, http://dbpedia.org/resource/Graph_flattenability +
, http://dbpedia.org/resource/Norm_%28mathematics%29 +
, http://dbpedia.org/resource/Clique-sum +
, http://dbpedia.org/resource/File:Cayley_configuration_space_orientation_change.jpg +
, http://dbpedia.org/resource/Configuration_space_%28mathematics%29 +
, http://dbpedia.org/resource/Structural_rigidity +
, http://dbpedia.org/resource/Covering_space +
, http://dbpedia.org/resource/Almost_everywhere +
, http://dbpedia.org/resource/Geometric_ConstraintSystem +
, http://dbpedia.org/resource/Geometric_Constraint_System +
, http://dbpedia.org/resource/File:Cayley_configuration_space_example.jpg +
, http://dbpedia.org/resource/Molecular_self-assembly +
, http://dbpedia.org/resource/File:Non-generic_Cayley_configuration_space.jpg +
, http://dbpedia.org/resource/Category:Mathematics +
|
| http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Short_description +
|
| http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Mathematics +
|
| http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Cayley_configuration_space?oldid=1097487513&ns=0 +
|
| http://xmlns.com/foaf/0.1/depiction
|
http://commons.wikimedia.org/wiki/Special:FilePath/Non-generic_Cayley_configuration_space.jpg +
, http://commons.wikimedia.org/wiki/Special:FilePath/Single_interval_property_counterexamples.jpg +
, http://commons.wikimedia.org/wiki/Special:FilePath/Cayley_configuration_space_example.jpg +
, http://commons.wikimedia.org/wiki/Special:FilePath/Cayley_configuration_space_orientation_change.jpg +
|
| http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Cayley_configuration_space +
|
| owl:sameAs |
https://global.dbpedia.org/id/Gdouy +
, http://dbpedia.org/resource/Cayley_configuration_space +
, http://www.wikidata.org/entity/Q111955055 +
|
| rdfs:comment |
In mathematics, the Cayley configuration s … In mathematics, the Cayley configuration space of a over a set of its non-edges , called Cayley parameters, is the set of distances attained by over all its , under some -norm. In other words, each framework of the linkage prescribes a unique set of distances to the non-edges of , so the set of all frameworks can be described by the set of distances attained by any subset of these non-edges. Note that this description may not be a bijection. The motivation for using distance parameters is to define a continuous quadratic branched covering from the configuration space of a linkage to a simpler, often convex, space. Hence, obtaining a framework from a Cayley configuration space of a linkage over some set of non-edges is often a matter of solving quadratic equations.n a matter of solving quadratic equations.
|
| rdfs:label |
Cayley configuration space
|
