"linear operator" meaning in English

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      "expansion": "linear operator (plural linear operators)",
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  "lang_code": "en",
  "pos": "noun",
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          "name": "Functional analysis",
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      "glosses": [
        "An operator L such that for functions f and g and scalar λ, L (f + g) = L f + L g and L λf = λ L f."
      ],
      "id": "en-linear_operator-en-noun-PPpsF584",
      "links": [
        [
          "mathematics",
          "mathematics"
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          "functional analysis",
          "functional analysis"
        ],
        [
          "operator",
          "operator"
        ]
      ],
      "qualifier": "functional analysis",
      "raw_glosses": [
        "(mathematics, functional analysis) An operator L such that for functions f and g and scalar λ, L (f + g) = L f + L g and L λf = λ L f."
      ],
      "related": [
        {
          "word": "linear transformation"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "linear operator"
}

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    {
      "form": "linear operators",
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "linear transformation"
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        "en:Functional analysis",
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      "glosses": [
        "An operator L such that for functions f and g and scalar λ, L (f + g) = L f + L g and L λf = λ L f."
      ],
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        [
          "mathematics",
          "mathematics"
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          "operator",
          "operator"
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      "qualifier": "functional analysis",
      "raw_glosses": [
        "(mathematics, functional analysis) An operator L such that for functions f and g and scalar λ, L (f + g) = L f + L g and L λf = λ L f."
      ],
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        "mathematics",
        "sciences"
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  "word": "linear operator"
}