"symmetric function" meaning in English

{
  "forms": [
    {
      "form": "symmetric functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "symmetric function (plural symmetric functions)",
      "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",
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          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
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            "Algebra",
            "Calculus",
            "Geometry",
            "Mathematical analysis",
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        }
      ],
      "glosses": [
        "Any function, of multiple variables, whose value is independent of the order of the variables, i.e. f(a,b) = f(b,a)."
      ],
      "hypernyms": [
        {
          "word": "function"
        }
      ],
      "hyponyms": [
        {
          "word": "cyclosymmetric function"
        },
        {
          "word": "elementary symmetric function"
        }
      ],
      "id": "en-symmetric_function-en-noun-oPM0zPhc",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "variable",
          "variable"
        ],
        [
          "value",
          "value"
        ],
        [
          "order",
          "order"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any function, of multiple variables, whose value is independent of the order of the variables, i.e. f(a,b) = f(b,a)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "symmetric function"
}

{
  "forms": [
    {
      "form": "symmetric functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "symmetric function (plural symmetric functions)",
      "name": "en-noun"
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  "hypernyms": [
    {
      "word": "function"
    }
  ],
  "hyponyms": [
    {
      "word": "cyclosymmetric function"
    },
    {
      "word": "elementary symmetric function"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      ],
      "glosses": [
        "Any function, of multiple variables, whose value is independent of the order of the variables, i.e. f(a,b) = f(b,a)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "variable",
          "variable"
        ],
        [
          "value",
          "value"
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          "order",
          "order"
        ]
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      "raw_glosses": [
        "(mathematics) Any function, of multiple variables, whose value is independent of the order of the variables, i.e. f(a,b) = f(b,a)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
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  ],
  "word": "symmetric function"
}