Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:closedBallDefinition |
set of all points with distance from center less than or equal to radius
|
| gptkbp:definedIn |
gptkb:center
radius |
| gptkbp:dimensions |
n-dimensional
|
| gptkbp:generalizes |
gptkb:butter
disk |
| gptkbp:hasType |
closed ball
open ball |
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Ball_(mathematics)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ball (mathematics)
|
| gptkbp:in2D |
disk
|
| gptkbp:in3D |
solid sphere
|
| gptkbp:isA |
subset of a metric space
|
| gptkbp:notation |
B(x, r)
B[x, r] |
| gptkbp:openBallDefinition |
set of all points with distance from center less than radius
|
| gptkbp:property |
connected
convex bounded closed ball is closed set in normed spaces closed ball may not be closed in all metric spaces open ball is open set |
| gptkbp:relatedTo |
gptkb:Euclidean_space
gptkb:Hilbert_space gptkb:standard gptkb:Metric |
| gptkbp:usedIn |
gptkb:geometry
gptkb:topology analysis |
| gptkbp:bfsParent |
gptkb:Spheres
|
| gptkbp:bfsLayer |
7
|