"Hardy field" meaning in English

{
  "etymology_text": "Named after the English mathematician G. H. Hardy.",
  "forms": [
    {
      "form": "Hardy fields",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hardy field (plural Hardy fields)",
      "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"
        },
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          "parents": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A field consisting of germs of real-valued functions at infinity that are closed under differentiation."
      ],
      "id": "en-Hardy_field-en-noun-C1~VPdrC",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "germ",
          "germ"
        ],
        [
          "differentiation",
          "differentiation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A field consisting of germs of real-valued functions at infinity that are closed under differentiation."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Hardy field"
}

{
  "etymology_text": "Named after the English mathematician G. H. Hardy.",
  "forms": [
    {
      "form": "Hardy fields",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hardy field (plural Hardy fields)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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",
        "en:Mathematics"
      ],
      "glosses": [
        "A field consisting of germs of real-valued functions at infinity that are closed under differentiation."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "germ",
          "germ"
        ],
        [
          "differentiation",
          "differentiation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A field consisting of germs of real-valued functions at infinity that are closed under differentiation."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Hardy field"
}