Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Euclidean_space
|
| gptkbp:category |
theorems in discrete geometry
|
| gptkbp:dimensions |
d
|
| gptkbp:field |
convex geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Radon's theorem
|
| gptkbp:namedAfter |
gptkb:Johann_Radon
|
| gptkbp:relatedTo |
gptkb:Carathéodory's_theorem
gptkb:Helly's_theorem gptkb:Tverberg's_theorem |
| gptkbp:sentence |
Any set of d+2 points in d-dimensional Euclidean space can be partitioned into two disjoint subsets whose convex hulls intersect.
|
| gptkbp:statedIn |
gptkb:Radon,_J._(1921)_"Mengen_konvexer_Körper,_die_einen_gemeinsamen_Punkt_enthalten"
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:combinatorial_geometry |
| gptkbp:yearProposed |
1921
|
| gptkbp:bfsParent |
gptkb:Carathéodory's_theorem
gptkb:Convex_geometry |
| gptkbp:bfsLayer |
7
|