"complex analysis" meaning in English

{
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      "form": "Wikibooks complex analysis",
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      "expansion": "complex analysis (uncountable)",
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  "lang_code": "en",
  "pos": "noun",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Complex analysis",
          "orig": "en:Complex analysis",
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      ],
      "glosses": [
        "The branch of mathematics that studies holomorphic functions."
      ],
      "id": "en-complex_analysis-en-noun-o9YlFS2C",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "holomorphic",
          "holomorphic"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The branch of mathematics that studies holomorphic functions."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "hy",
          "lang": "Armenian",
          "roman": "komplekʻs analiz",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "word": "կոմպլեքս անալիզ"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "word": "kompleksianalyysi"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "tags": [
            "feminine"
          ],
          "word": "analyse complexe"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "word": "komplex analízis"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "word": "komplex függvénytan"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "tags": [
            "feminine"
          ],
          "word": "tvinnfallafræði"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "tags": [
            "feminine"
          ],
          "word": "tvinnfallagreining"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "word": "複素解析"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "tags": [
            "feminine"
          ],
          "word": "análise complexa"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "kompleksnyj analiz",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "tags": [
            "masculine"
          ],
          "word": "комплексный анализ"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "the branch of mathematics that studies holomorphic functions",
          "tags": [
            "masculine"
          ],
          "word": "análisis complejo"
        }
      ],
      "wikipedia": [
        "complex analysis",
        "simple:complex analysis"
      ]
    }
  ],
  "word": "complex analysis"
}

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      "form": "Wikibooks complex analysis",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "The branch of mathematics that studies holomorphic functions."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
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          "holomorphic",
          "holomorphic"
        ]
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        "(mathematics) The branch of mathematics that studies holomorphic functions."
      ],
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        "uncountable"
      ],
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        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "complex analysis",
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  "translations": [
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "komplekʻs analiz",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "word": "կոմպլեքս անալիզ"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "word": "kompleksianalyysi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "tags": [
        "feminine"
      ],
      "word": "analyse complexe"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "word": "komplex analízis"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "word": "komplex függvénytan"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "tags": [
        "feminine"
      ],
      "word": "tvinnfallafræði"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "tags": [
        "feminine"
      ],
      "word": "tvinnfallagreining"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "word": "複素解析"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "tags": [
        "feminine"
      ],
      "word": "análise complexa"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "kompleksnyj analiz",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "tags": [
        "masculine"
      ],
      "word": "комплексный анализ"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "the branch of mathematics that studies holomorphic functions",
      "tags": [
        "masculine"
      ],
      "word": "análisis complejo"
    }
  ],
  "word": "complex analysis"
}