Hausdorff content en · NOUN
Meanings
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the d-dimensional Hausdorff content of S is defined by C_Hᵈ(S):= lim _(sup ᵢr_i→0) inf Bigl ∑ᵢr_iᵈ:thereisacoverofSbyballswithradiir_i>0 Bigr.
The 0-dimensional Hausdorff content of a set is the number of points in that set.
The d-dimensional Hausdorff content of a set is a measure of the size of that set in the dᵗʰ dimension.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| Hausdorff contents | Number=Plur | lexicographic |