Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Computational_geometry
Linear programming Support vector machines |
| gptkbp:defines |
A half-space is one of the two parts into which a hyperplane divides an n-dimensional Euclidean space.
|
| gptkbp:dimensions |
n-dimensional
|
| gptkbp:example |
In 2D, a half-space is a half-plane.
In 3D, a half-space is one side of a plane. |
| gptkbp:field |
gptkb:geometry
gptkb:Linear_algebra gptkb:Convex_analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Half-space
|
| gptkbp:notation |
{x ∈ ℝⁿ : a·x ≤ b}
|
| gptkbp:property |
A half-space is a convex set.
The intersection of finitely many half-spaces is a convex polyhedron. |
| gptkbp:relatedTo |
gptkb:Convex_set
Hyperplane |
| gptkbp:bfsParent |
gptkb:Convex_set
|
| gptkbp:bfsLayer |
7
|