"Fatou set" meaning in All languages combined

{
  "etymology_text": "Named after Pierre Fatou.",
  "forms": [
    {
      "form": "Fatou sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Fatou set (plural Fatou sets)",
      "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 German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
      ],
      "id": "en-Fatou_set-en-noun-xeo69FGA",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "complementary",
          "complementary"
        ],
        [
          "Julia set",
          "Julia set"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
      ],
      "related": [
        {
          "word": "Fatou component"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "lang_code": "de",
          "sense": "in complex dynamics, a set consisting of values generated by a mathematical function",
          "tags": [
            "feminine"
          ],
          "word": "Fatou-Menge"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "lang_code": "pl",
          "sense": "in complex dynamics, a set consisting of values generated by a mathematical function",
          "tags": [
            "masculine"
          ],
          "word": "zbiór Fatou"
        }
      ],
      "wikipedia": [
        "Pierre Fatou"
      ]
    }
  ],
  "word": "Fatou set"
}

{
  "etymology_text": "Named after Pierre Fatou.",
  "forms": [
    {
      "form": "Fatou sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Fatou set (plural Fatou sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Fatou component"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with German translations",
        "Terms with Polish translations",
        "en:Mathematics"
      ],
      "glosses": [
        "A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "complementary",
          "complementary"
        ],
        [
          "Julia set",
          "Julia set"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Pierre Fatou"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "lang_code": "de",
      "sense": "in complex dynamics, a set consisting of values generated by a mathematical function",
      "tags": [
        "feminine"
      ],
      "word": "Fatou-Menge"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "lang_code": "pl",
      "sense": "in complex dynamics, a set consisting of values generated by a mathematical function",
      "tags": [
        "masculine"
      ],
      "word": "zbiór Fatou"
    }
  ],
  "word": "Fatou set"
}