"pseudodifferential operator" meaning in English

{
  "forms": [
    {
      "form": "pseudodifferential operators",
      "tags": [
        "plural"
      ]
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  "head_templates": [
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      "expansion": "pseudodifferential operator (plural pseudodifferential operators)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
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      "examples": [
        {
          "ref": "2009 January, Notices of the American Mathematical Society, volume 56, number 1",
          "text": "The algebras in question come from problems in various areas of mathematics and mathematical physics; typical examples include algebras of pseudodifferential operators, group algebras, and other algebras arising from quantum field theory.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An extension of the differential operator, used in the theory of partial differential equations and quantum field theory."
      ],
      "id": "en-pseudodifferential_operator-en-noun-y~Jqm57T",
      "links": [
        [
          "mathematics",
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        ],
        [
          "operator",
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        [
          "theory",
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        ],
        [
          "partial differential equation",
          "partial differential equation"
        ],
        [
          "quantum field theory",
          "quantum field theory"
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      ],
      "raw_glosses": [
        "(mathematics) An extension of the differential operator, used in the theory of partial differential equations and quantum field theory."
      ],
      "synonyms": [
        {
          "word": "pseudo-differential operator"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Pseudo-differential operator"
      ]
    }
  ],
  "word": "pseudodifferential operator"
}

{
  "forms": [
    {
      "form": "pseudodifferential operators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "ref": "2009 January, Notices of the American Mathematical Society, volume 56, number 1",
          "text": "The algebras in question come from problems in various areas of mathematics and mathematical physics; typical examples include algebras of pseudodifferential operators, group algebras, and other algebras arising from quantum field theory.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An extension of the differential operator, used in the theory of partial differential equations and quantum field theory."
      ],
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        [
          "partial differential equation",
          "partial differential equation"
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      "raw_glosses": [
        "(mathematics) An extension of the differential operator, used in the theory of partial differential equations and quantum field theory."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Pseudo-differential operator"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "pseudo-differential operator"
    }
  ],
  "word": "pseudodifferential operator"
}