Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
d+2 points in d-dimensional Euclidean space
|
| gptkbp:describes |
partition of points in Euclidean space
|
| gptkbp:field |
gptkb:mathematics
convex geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Radon theorem
|
| gptkbp:namedAfter |
gptkb:Johann_Radon
|
| gptkbp:publicationYear |
1921
|
| gptkbp:relatedTo |
gptkb:Carathéodory's_theorem
gptkb:Helly's_theorem gptkb:Tverberg's_theorem |
| gptkbp:state |
any set of d+2 points in d-dimensional Euclidean space can be partitioned into two disjoint subsets whose convex hulls intersect
|
| gptkbp:statedIn |
Radon's 1921 paper
|
| gptkbp:usedIn |
gptkb:combinatorial_geometry
discrete geometry |
| gptkbp:bfsParent |
gptkb:Johann_Radon
|
| gptkbp:bfsLayer |
7
|