"Julia set" meaning in All languages combined

See Julia set on Wiktionary

Noun [English]

Forms: Julia sets [plural]
Etymology: Devised by the French mathematician Gaston Julia. Head templates: {{en-noun}} Julia set (plural Julia sets)
  1. (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 terms: Fatou set Translations (in complex dynamics, a set consisting of values generated by a mathematical function): Julia-Menge [feminine] (German), zbiór Julii [masculine] (Polish), juliamängd [common-gender] (Swedish)

Inflected forms

{
  "etymology_text": "Devised by the French mathematician Gaston Julia.",
  "forms": [
    {
      "form": "Julia sets",
      "tags": [
        "plural"
      ]
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      "expansion": "Julia set (plural Julia sets)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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          "name": "Fractals",
          "orig": "en:Fractals",
          "parents": [],
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          "name": "Mathematics",
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        }
      ],
      "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": [
        [
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        [
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          "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"
      ],
      "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": "Julia-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 Julii"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "lang_code": "sv",
          "sense": "in complex dynamics, a set consisting of values generated by a mathematical function",
          "tags": [
            "common-gender"
          ],
          "word": "juliamängd"
        }
      ]
    }
  ],
  "word": "Julia set"
}
{
  "etymology_text": "Devised by the French mathematician Gaston Julia.",
  "forms": [
    {
      "form": "Julia sets",
      "tags": [
        "plural"
      ]
    }
  ],
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    }
  ],
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        "Terms with German translations",
        "Terms with Polish translations",
        "Terms with Swedish translations",
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      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
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        ],
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          "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"
      ]
    }
  ],
  "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": "Julia-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 Julii"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "lang_code": "sv",
      "sense": "in complex dynamics, a set consisting of values generated by a mathematical function",
      "tags": [
        "common-gender"
      ],
      "word": "juliamängd"
    }
  ],
  "word": "Julia set"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-10-03 from the enwiktionary dump dated 2026-09-02 using wiktextract (1a05e46 and e3d6d4e). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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