"linear operator" meaning in English

{
  "forms": [
    {
      "form": "linear operators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "linear operator (plural linear operators)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Bulgarian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Functional analysis",
          "orig": "en:Functional analysis",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "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"
        ],
        [
          "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"
      ],
      "translations": [
        {
          "code": "bg",
          "english": "lineen operator",
          "lang": "Bulgarian",
          "sense": "operator",
          "tags": [
            "masculine"
          ],
          "word": "линеен оператор"
        }
      ]
    }
  ],
  "word": "linear operator"
}

{
  "forms": [
    {
      "form": "linear operators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "linear operator (plural linear operators)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "linear transformation"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Bulgarian translations",
        "en:Functional analysis",
        "en:Functions",
        "en:Mathematics"
      ],
      "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."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "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."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "bg",
      "english": "lineen operator",
      "lang": "Bulgarian",
      "sense": "operator",
      "tags": [
        "masculine"
      ],
      "word": "линеен оператор"
    }
  ],
  "word": "linear operator"
}