Phrase guide

Hausdorff content

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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