Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:mathematical_concept |
gptkbp:definedIn |
gptkb:Algebraic_geometry
homogeneous polynomial of degree 2 |
gptkbp:dimensions |
n-1
|
gptkbp:example |
gptkb:Sphere
gptkb:Ellipsoid Hyperboloid Paraboloid |
gptkbp:field |
Any field
|
gptkbp:generalizes |
Quadric surface
Conic section |
gptkbp:hasEquation |
Q(x_1, ..., x_n) = 0
|
gptkbp:hasSingularities |
Possible
|
https://www.w3.org/2000/01/rdf-schema#label |
Quadric hypersurface
|
gptkbp:nonSingularIf |
Rank of quadratic form is maximal
|
gptkbp:relatedTo |
Symmetric matrix
Quadratic form |
gptkbp:studiedIn |
gptkb:geometry
gptkb:Affine_space |
gptkbp:bfsParent |
gptkb:Quadrics
|
gptkbp:bfsLayer |
8
|