Word.ws English Dictionary

Hausdorff content

Hausdorff content 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.

Noun

Hausdorff content (plural Hausdorff contents)

  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.
    • 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.

Forms of Hausdorff content

pluralHausdorff contents

Questions about Hausdorff content

What does Hausdorff content mean?
Hausdorff content means 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.
What part of speech is Hausdorff content?
Hausdorff content is a noun.
What is the plural of Hausdorff content?
The plural of Hausdorff content is Hausdorff contents.

Words near Hausdorff content in the dictionary

  1. Hauschild
  2. Hauschilds
  3. Hauschildt
  4. Hausdoerffer
  5. Hausdorff
  6. Hausdorff content
  7. Hausdorff contents
  8. Hausdorff dimension
  9. Hausdorff dimensions
  10. Hausdorff distance
  11. Hausdorff distances

Source and license

Adapted from Wiktionary: Hausdorff content (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Hausdorff content.” Word.ws, https://word.ws/hausdorff_content. Based on Wiktionary, CC BY-SA 4.0.