Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:borders |
n-sphere
|
| gptkbp:centralTo |
point in n-dimensional space
|
| gptkbp:definedIn |
set of points in n-dimensional Euclidean space at distance less than or equal to a given radius from a fixed center point
|
| gptkbp:diameter |
non-negative real number
|
| gptkbp:dimensions |
n
|
| gptkbp:hasProperty |
compact
convex |
| gptkbp:hasSpecialCase |
2-ball
3-ball |
| https://www.w3.org/2000/01/rdf-schema#label |
n-ball
|
| gptkbp:relatedTo |
gptkb:Euclidean_space
n-sphere |
| gptkbp:subclassOf |
ball (mathematics)
|
| gptkbp:surfaceAreaFormula |
A_n = n V_n / r
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:probability_theory analysis physics higher-dimensional mathematics |
| gptkbp:volume |
V_n = (π^{n/2} / Γ(n/2 + 1)) r^n
|
| gptkbp:bfsParent |
gptkb:Euclidean_ball
|
| gptkbp:bfsLayer |
8
|