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Hausdorff content

noun

Definitions

  1. the d-dimensional Hausdorff content of S is defined by C_Hᵈ(S)

    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.

The neighborhood

Vish — recursive loop

No curated loop yet for Hausdorff content. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA