"Stern-Brocot tree" meaning in All languages combined

See Stern-Brocot tree on Wiktionary

Noun [English]

Forms: Stern-Brocot trees [plural]
Etymology: Introduced independently by Moritz Stern (1858) and Achille Brocot (1861). Head templates: {{en-noun}} Stern-Brocot tree (plural Stern-Brocot trees)
  1. (number theory) An infinite complete binary tree whose vertices correspond one-for-one to the positive rational numbers, whose values are ordered from the left to the right as in a search tree. Categories (topical): Number theory

Inflected forms

Download JSON data for Stern-Brocot tree meaning in All languages combined (1.8kB)

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  "etymology_text": "Introduced independently by Moritz Stern (1858) and Achille Brocot (1861).",
  "forms": [
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  "lang_code": "en",
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      "glosses": [
        "An infinite complete binary tree whose vertices correspond one-for-one to the positive rational numbers, whose values are ordered from the left to the right as in a search tree."
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      "id": "en-Stern-Brocot_tree-en-noun-ivTxlot2",
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      "raw_glosses": [
        "(number theory) An infinite complete binary tree whose vertices correspond one-for-one to the positive rational numbers, whose values are ordered from the left to the right as in a search tree."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
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    }
  ],
  "word": "Stern-Brocot tree"
}
{
  "etymology_text": "Introduced independently by Moritz Stern (1858) and Achille Brocot (1861).",
  "forms": [
    {
      "form": "Stern-Brocot trees",
      "tags": [
        "plural"
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  ],
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  ],
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English entries with incorrect language header",
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        "An infinite complete binary tree whose vertices correspond one-for-one to the positive rational numbers, whose values are ordered from the left to the right as in a search tree."
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        "(number theory) An infinite complete binary tree whose vertices correspond one-for-one to the positive rational numbers, whose values are ordered from the left to the right as in a search tree."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "Stern-Brocot tree"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-15 from the enwiktionary dump dated 2024-05-02 using wiktextract (8203a16 and 304864d). 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.