Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Subset of vector space |
| gptkbp:definedIn |
A subset C of a vector space such that for any x, y in C and non-negative scalars a, b, the combination ax + by is in C
|
| gptkbp:example |
Non-negative orthant
Positive semidefinite matrices |
| gptkbp:field |
gptkb:Mathematics
gptkb:Linear_algebra gptkb:Convex_analysis |
| gptkbp:generalizes |
gptkb:Convex_set
gptkb:Linear_subspace |
| gptkbp:hasProperty |
If C is a convex cone, then 0 is in C
Intersection of convex cones is a convex cone Sum of convex cones is a convex cone |
| https://www.w3.org/2000/01/rdf-schema#label |
Convex cone
|
| gptkbp:property |
Closed under addition
Closed under multiplication by non-negative scalars |
| gptkbp:relatedTo |
gptkb:Convex_set
Cone (geometry) |
| gptkbp:seeAlso |
Convex hull
Polyhedral cone Dual cone |
| gptkbp:used_in |
Functional analysis
Optimization |
| gptkbp:bfsParent |
gptkb:Convex_set
|
| gptkbp:bfsLayer |
7
|