What does hausdorff content mean?

hausdorff content

Word Rarity Very rare

Frequency: Zipf frequency 2.00 in modern English

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noun

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 d-dimensional Hausdorff content of a set is a measure of the size of that set in the dᵗʰ dimension."
"The 0-dimensional Hausdorff content of a set is the number of points in that set."

Hausdorff contents (plural)

Hausdorff dimension

Hausdorff dimension

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