"mathematical function" meaning in English

{
  "forms": [
    {
      "form": "mathematical functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "mathematical function (plural mathematical functions)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "Synonym of function (“a relation in which each element of the domain is associated with exactly one element of the codomain”)"
      ],
      "id": "en-mathematical_function-en-noun-y041dYtK",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "function",
          "function#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Synonym of function (“a relation in which each element of the domain is associated with exactly one element of the codomain”)"
      ],
      "synonyms": [
        {
          "extra": "a relation in which each element of the domain is associated with exactly one element of the codomain",
          "tags": [
            "synonym",
            "synonym-of"
          ],
          "word": "function"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "mathematical function"
}

{
  "forms": [
    {
      "form": "mathematical functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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      "expansion": "mathematical function (plural mathematical functions)",
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  "lang_code": "en",
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        "en:Mathematics"
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      "glosses": [
        "Synonym of function (“a relation in which each element of the domain is associated with exactly one element of the codomain”)"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "function",
          "function#English"
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      ],
      "raw_glosses": [
        "(mathematics) Synonym of function (“a relation in which each element of the domain is associated with exactly one element of the codomain”)"
      ],
      "synonyms": [
        {
          "extra": "a relation in which each element of the domain is associated with exactly one element of the codomain",
          "tags": [
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          "word": "function"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "mathematical function"
}