"Hausdorff content" meaning in English

{
  "forms": [
    {
      "form": "Hausdorff contents",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hausdorff content (plural Hausdorff contents)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The d-dimensional Hausdorff content of a set is a measure of the size of that set in the dᵗʰ dimension."
        },
        {
          "text": "The 0-dimensional Hausdorff content of a set is the number of points in that set."
        }
      ],
      "glosses": [
        "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."
      ],
      "id": "en-Hausdorff_content-en-noun-5vdC2sTH",
      "related": [
        {
          "word": "Hausdorff dimension"
        }
      ]
    }
  ],
  "word": "Hausdorff content"
}

{
  "forms": [
    {
      "form": "Hausdorff contents",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hausdorff content (plural Hausdorff contents)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Hausdorff dimension"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries"
      ],
      "examples": [
        {
          "text": "The d-dimensional Hausdorff content of a set is a measure of the size of that set in the dᵗʰ dimension."
        },
        {
          "text": "The 0-dimensional Hausdorff content of a set is the number of points in that set."
        }
      ],
      "glosses": [
        "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."
      ]
    }
  ],
  "word": "Hausdorff content"
}