"coarea" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "area"
      },
      "expansion": "co- + area",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + area",
  "forms": [
    {
      "form": "coareas",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "coarea (plural coareas)",
      "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 terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, P Pansu, “On the quasisymmetric Hölder-equivalence problem for Carnot groups”, in arXiv",
          "text": "The main tool is a general coarea inequality satisfied by packing energies of maps..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The dual of the area."
      ],
      "id": "en-coarea-en-noun-cLQ0lKwx",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dual",
          "dual"
        ],
        [
          "area",
          "area"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The dual of the area."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "coarea"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "area"
      },
      "expansion": "co- + area",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + area",
  "forms": [
    {
      "form": "coareas",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "coarea (plural coareas)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with co-",
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        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, P Pansu, “On the quasisymmetric Hölder-equivalence problem for Carnot groups”, in arXiv",
          "text": "The main tool is a general coarea inequality satisfied by packing energies of maps..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The dual of the area."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dual",
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        ],
        [
          "area",
          "area"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The dual of the area."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "coarea"
}