"Pisano period" meaning in All languages combined

See Pisano period on Wiktionary

Noun [English]

Forms: Pisano periods [plural]
Etymology: Named after Leonardo Bigollo Pisano a.k.a. Fibonacci (c. 1170 – c. 1240–1250). Head templates: {{en-noun}} Pisano period (plural Pisano periods)
  1. (number theory) The period (of repetition) of the sequence of Fibonacci numbers reduced modulo a given natural number (≥1); it can be considered to be a function π(n) where n is the modulus of reduction (see modular arithmetic) and the function returns the period (of the reduced Fibonacci sequence) corresponding to that given modulus. Wikipedia link: Fibonacci, Pisano period Categories (topical): Number theory Translations (Translations): període de Pisano [masculine] (Catalan), 皮萨诺周期 (Písànuò zhōuqī) (Chinese Mandarin), période de Pisano [feminine] (French)
    Sense id: en-Pisano_period-en-noun-gbXy7YdJ Categories (other): English entries with incorrect language header Topics: mathematics, number-theory, sciences

Download JSON data for Pisano period meaning in All languages combined (2.1kB)

{
  "etymology_text": "Named after Leonardo Bigollo Pisano a.k.a. Fibonacci (c. 1170 – c. 1240–1250).",
  "forms": [
    {
      "form": "Pisano periods",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pisano period (plural Pisano periods)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The period (of repetition) of the sequence of Fibonacci numbers reduced modulo a given natural number (≥1); it can be considered to be a function π(n) where n is the modulus of reduction (see modular arithmetic) and the function returns the period (of the reduced Fibonacci sequence) corresponding to that given modulus."
      ],
      "id": "en-Pisano_period-en-noun-gbXy7YdJ",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "Fibonacci number",
          "Fibonacci number"
        ],
        [
          "modulo",
          "modulo"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "modulus",
          "modulus"
        ]
      ],
      "raw_glosses": [
        "(number theory) The period (of repetition) of the sequence of Fibonacci numbers reduced modulo a given natural number (≥1); it can be considered to be a function π(n) where n is the modulus of reduction (see modular arithmetic) and the function returns the period (of the reduced Fibonacci sequence) corresponding to that given modulus."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "translations": [
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "període de Pisano"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "Písànuò zhōuqī",
          "sense": "Translations",
          "word": "皮萨诺周期"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "période de Pisano"
        }
      ],
      "wikipedia": [
        "Fibonacci",
        "Pisano period"
      ]
    }
  ],
  "word": "Pisano period"
}
{
  "etymology_text": "Named after Leonardo Bigollo Pisano a.k.a. Fibonacci (c. 1170 – c. 1240–1250).",
  "forms": [
    {
      "form": "Pisano periods",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pisano period (plural Pisano periods)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Translation table header lacks gloss",
        "en:Number theory"
      ],
      "glosses": [
        "The period (of repetition) of the sequence of Fibonacci numbers reduced modulo a given natural number (≥1); it can be considered to be a function π(n) where n is the modulus of reduction (see modular arithmetic) and the function returns the period (of the reduced Fibonacci sequence) corresponding to that given modulus."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "Fibonacci number",
          "Fibonacci number"
        ],
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          "modulo",
          "modulo"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "modulus",
          "modulus"
        ]
      ],
      "raw_glosses": [
        "(number theory) The period (of repetition) of the sequence of Fibonacci numbers reduced modulo a given natural number (≥1); it can be considered to be a function π(n) where n is the modulus of reduction (see modular arithmetic) and the function returns the period (of the reduced Fibonacci sequence) corresponding to that given modulus."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "Fibonacci",
        "Pisano period"
      ]
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "període de Pisano"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "Písànuò zhōuqī",
      "sense": "Translations",
      "word": "皮萨诺周期"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "période de Pisano"
    }
  ],
  "word": "Pisano period"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c and c9440ce). 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.