Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alsoKnownAs |
gptkb:n-ball
|
gptkbp:borders |
n-sphere
|
gptkbp:centralTo |
point in Euclidean space
|
gptkbp:closed |
closed ball
|
gptkbp:definedIn |
gptkb:Euclidean_space
|
gptkbp:designer |
open ball
|
gptkbp:diameter |
non-negative real number
|
gptkbp:dimensions |
n
|
gptkbp:generalizes |
gptkb:butter
disk |
gptkbp:hasInvariant |
gptkb:Euclidean_isometries
|
gptkbp:hasSpecialCase |
unit ball
|
gptkbp:hasSubgroup |
gptkb:Euclidean_space
|
https://www.w3.org/2000/01/rdf-schema#label |
Euclidean ball
|
gptkbp:surfaceAreaFormula |
A = (2π^{n/2} / Γ(n/2)) r^{n-1}
|
gptkbp:usedIn |
gptkb:geometry
gptkb:topology analysis |
gptkbp:volume |
V = (π^{n/2} / Γ(n/2 + 1)) r^n
|
gptkbp:bfsParent |
gptkb:Euclide
gptkb:Convex_sets gptkb:Convex_set |
gptkbp:bfsLayer |
7
|