"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": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "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 entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys"
      ],
      "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"
}