Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
metric spaces
|
| gptkbp:definedIn |
gptkb:Hausdorff_measure
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics fractal geometry |
| gptkbp:generalizes |
topological dimension
|
| gptkbp:hasProperty |
can be greater than topological dimension
can be non-integer |
| gptkbp:introducedIn |
1918
|
| gptkbp:namedAfter |
gptkb:Felix_Hausdorff
|
| gptkbp:relatedTo |
gptkb:Minkowski–Bouligand_dimension
gptkb:box-counting_dimension |
| gptkbp:symbol |
dim_H
|
| gptkbp:usedFor |
measuring fractal dimension
measuring roughness of sets |
| gptkbp:usedIn |
gptkb:probability_theory
dynamical systems mathematical analysis measure theory |
| gptkbp:bfsParent |
gptkb:Felix_Hausdorff
|
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hausdorff dimension
|