Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A hyperplane that has all of a convex set on one side and touches the set at least at one point
|
| gptkbp:dimensions |
n-1
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Convex_geometry |
| gptkbp:generalizes |
Supporting line
|
| https://www.w3.org/2000/01/rdf-schema#label |
Supporting hyperplane
|
| gptkbp:property |
Every boundary point of a nonempty convex set in R^n has a supporting hyperplane
|
| gptkbp:relatedTo |
gptkb:Convex_set
gptkb:Hyperplane_separation_theorem gptkb:Tangent_plane Separation theorem |
| gptkbp:usedIn |
gptkb:Convex_analysis
Linear programming Optimization |
| gptkbp:bfsParent |
gptkb:Convex_sets
gptkb:Convex_set |
| gptkbp:bfsLayer |
7
|