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 |
gptkb:Quadric_surface
gptkb:Conic_section |
| gptkbp:hasEquation |
Q(x_1, ..., x_n) = 0
|
| gptkbp:hasSingularities |
Possible
|
| 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
|
| https://www.w3.org/2000/01/rdf-schema#label |
Quadric hypersurface
|