"Pell number" meaning in All languages combined

See Pell number on Wiktionary

Noun [English]

Forms: Pell numbers [plural]
Head templates: {{en-noun}} Pell number (plural Pell numbers)
  1. (mathematics, number theory) An infinite sequence of integers that comprises the denominators of the closest rational approximations to the square root of 2. Categories (topical): Mathematics, Number theory
    Sense id: en-Pell_number-en-noun-VNU8bsZv Categories (other): English entries with incorrect language header, Pages with 1 entry Topics: mathematics, number-theory, sciences

Inflected forms

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    {
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      "tags": [
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  "head_templates": [
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  "senses": [
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        },
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          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        }
      ],
      "glosses": [
        "An infinite sequence of integers that comprises the denominators of the closest rational approximations to the square root of 2."
      ],
      "id": "en-Pell_number-en-noun-VNU8bsZv",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "number theory",
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        ],
        [
          "infinite",
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        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "denominator",
          "denominator"
        ],
        [
          "closest",
          "closest"
        ],
        [
          "rational",
          "rational"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "square root",
          "square root"
        ]
      ],
      "raw_glosses": [
        "(mathematics, number theory) An infinite sequence of integers that comprises the denominators of the closest rational approximations to the square root of 2."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "Pell number"
}
{
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  ],
  "head_templates": [
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        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "en:Mathematics",
        "en:Number theory"
      ],
      "glosses": [
        "An infinite sequence of integers that comprises the denominators of the closest rational approximations to the square root of 2."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "number theory",
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        ],
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        [
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          "denominator",
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        ],
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          "rational",
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        ],
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      ],
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        "(mathematics, number theory) An infinite sequence of integers that comprises the denominators of the closest rational approximations to the square root of 2."
      ],
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        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
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}

Download raw JSONL data for Pell number meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.