"Julia set" meaning in English

{
  "etymology_text": "Devised by the French mathematician Gaston Julia.",
  "forms": [
    {
      "form": "Julia sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Julia set (plural Julia sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Fractals",
          "orig": "en:Fractals",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "In complex dynamics, a set consisting of values generated by a mathematical function such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values."
      ],
      "id": "en-Julia_set-en-noun-YiPJHigu",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dynamics",
          "dynamics"
        ],
        [
          "arbitrarily",
          "arbitrary"
        ],
        [
          "perturbation",
          "perturbation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In complex dynamics, a set consisting of values generated by a mathematical function such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values."
      ],
      "related": [
        {
          "word": "Fatou set"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Julia set"
      ]
    }
  ],
  "word": "Julia set"
}

{
  "etymology_text": "Devised by the French mathematician Gaston Julia.",
  "forms": [
    {
      "form": "Julia sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Julia set (plural Julia sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Fatou set"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English entries with topic categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Fractals",
        "en:Mathematics"
      ],
      "glosses": [
        "In complex dynamics, a set consisting of values generated by a mathematical function such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dynamics",
          "dynamics"
        ],
        [
          "arbitrarily",
          "arbitrary"
        ],
        [
          "perturbation",
          "perturbation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In complex dynamics, a set consisting of values generated by a mathematical function such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Julia set"
      ]
    }
  ],
  "word": "Julia set"
}