"Mandelbrot set" meaning in English

See Mandelbrot set in All languages combined, or Wiktionary

Noun

Forms: Mandelbrot sets [plural]
Head templates: {{en-noun}} Mandelbrot set (plural Mandelbrot sets)
  1. (mathematics) the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal. Wikipedia link: Mandelbrot set Categories (topical): Mathematics Related terms: Mandelbox, Mandelbulb, Julia set Translations (set of complex numbers c): 曼德博集合 (Màndébó jíhé) (Chinese Mandarin), Mandelbrotova množina [feminine] (Czech), Mandelbrotin joukko (Finnish), Mandelbrotin fraktaali (Finnish), Mandelbrotmenge [feminine] (German), Mandelbrot-halmaz (Hungarian), Insieme di Mandelbrot [masculine] (Italian), Mandelbrotmängd [common-gender] (Swedish)

Inflected forms

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          "name": "Fractals",
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      "glosses": [
        "the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal."
      ],
      "id": "en-Mandelbrot_set-en-noun-r~xqYd4H",
      "links": [
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          "mathematics",
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          "set",
          "set"
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        [
          "complex number",
          "complex number"
        ],
        [
          "orbit",
          "orbit"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "complex",
          "complex"
        ],
        [
          "quadratic",
          "quadratic"
        ],
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          "polynomial",
          "polynomial"
        ],
        [
          "bounded",
          "bounded"
        ],
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          "boundary",
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          "fractal",
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      "raw_glosses": [
        "(mathematics) the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal."
      ],
      "related": [
        {
          "word": "Mandelbox"
        },
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          "word": "Mandelbulb"
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          "word": "Julia set"
        }
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        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "Màndébó jíhé",
          "sense": "set of complex numbers c",
          "word": "曼德博集合"
        },
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          "code": "cs",
          "lang": "Czech",
          "sense": "set of complex numbers c",
          "tags": [
            "feminine"
          ],
          "word": "Mandelbrotova množina"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "set of complex numbers c",
          "word": "Mandelbrotin joukko"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "set of complex numbers c",
          "word": "Mandelbrotin fraktaali"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "set of complex numbers c",
          "tags": [
            "feminine"
          ],
          "word": "Mandelbrotmenge"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "set of complex numbers c",
          "word": "Mandelbrot-halmaz"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "set of complex numbers c",
          "tags": [
            "masculine"
          ],
          "word": "Insieme di Mandelbrot"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "set of complex numbers c",
          "tags": [
            "common-gender"
          ],
          "word": "Mandelbrotmängd"
        }
      ],
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        "Mandelbrot set"
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        "the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal."
      ],
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        [
          "mathematics",
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          "set",
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        [
          "iteration",
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          "complex"
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          "quadratic",
          "quadratic"
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        "(mathematics) the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal."
      ],
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        "mathematics",
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      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "Màndébó jíhé",
      "sense": "set of complex numbers c",
      "word": "曼德博集合"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "set of complex numbers c",
      "tags": [
        "feminine"
      ],
      "word": "Mandelbrotova množina"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "set of complex numbers c",
      "word": "Mandelbrotin joukko"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "set of complex numbers c",
      "word": "Mandelbrotin fraktaali"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "set of complex numbers c",
      "tags": [
        "feminine"
      ],
      "word": "Mandelbrotmenge"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "set of complex numbers c",
      "word": "Mandelbrot-halmaz"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "set of complex numbers c",
      "tags": [
        "masculine"
      ],
      "word": "Insieme di Mandelbrot"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "set of complex numbers c",
      "tags": [
        "common-gender"
      ],
      "word": "Mandelbrotmängd"
    }
  ],
  "word": "Mandelbrot set"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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