"Mandelbrot set" meaning in All languages combined

See Mandelbrot set on Wiktionary

Noun [English]

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

Download JSONL data for Mandelbrot set meaning in All languages combined (3.7kB)

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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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          "complex number",
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        [
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        [
          "iteration",
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        [
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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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        {
          "word": "Mandelbox"
        },
        {
          "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"
        },
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          "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"
        },
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          "code": "sv",
          "lang": "Swedish",
          "sense": "set of complex numbers c",
          "tags": [
            "common-gender"
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        }
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        "Mandelbrot 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"
    },
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      "code": "fi",
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      "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-27 from the enwiktionary dump dated 2024-06-20 using wiktextract (0f7b3ac and b863ecc). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.