Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:geometry
|
| gptkbp:borders |
gptkb:Euclidean_ball
|
| gptkbp:category |
gptkb:Riemannian_manifold
closed surface hypersurface |
| gptkbp:centralTo |
gptkb:train
|
| gptkbp:definedIn |
gptkb:Euclidean_geometry
|
| gptkbp:diameter |
non-negative real number
|
| gptkbp:dimensions |
n-dimensional
|
| gptkbp:hasEquation |
(x1-a1)^2 + (x2-a2)^2 + ... + (xn-an)^2 = r^2
|
| gptkbp:hasSpecialCase |
circle (2D sphere)
ordinary sphere (3D sphere) |
| https://www.w3.org/2000/01/rdf-schema#label |
Euclidean sphere
|
| gptkbp:notHomeomorphicTo |
gptkb:Euclidean_space
|
| gptkbp:surface |
set of points at constant distance from center
|
| gptkbp:symmetry |
gptkb:orthogonal_group_O(n)
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:mathematics gptkb:topology physics |
| gptkbp:bfsParent |
gptkb:Euclidean_ball_(p=2)
|
| gptkbp:bfsLayer |
7
|