"p-adic order" meaning in English

See p-adic order in All languages combined, or Wiktionary

Noun

Forms: p-adic orders [plural]
Head templates: {{en-noun|p-adic orders|head=p-adic order}} p-adic order (plural p-adic orders)
  1. (number theory) Of a positive integer n, the exponent of the highest power of p that divides n. Often denoted νₚ(n). For example, ν₂(48)=4. Wikipedia link: p-adic order Categories (topical): Number theory Related terms: p-adic norm, p-adic ordinal Translations (Translations): p-adinen kertaluku (Finnish), p-adische Ordnung [feminine] (German)

Inflected forms

Download JSON data for p-adic order meaning in English (1.8kB)

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        "Of a positive integer n, the exponent of the highest power of p that divides n. Often denoted νₚ(n). For example, ν₂(48)=4."
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        "(number theory) Of a positive integer n, the exponent of the highest power of p that divides n. Often denoted νₚ(n). For example, ν₂(48)=4."
      ],
      "related": [
        {
          "word": "p-adic norm"
        },
        {
          "word": "p-adic ordinal"
        }
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "p-adinen kertaluku"
        },
        {
          "code": "de",
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            "feminine"
          ],
          "word": "p-adische Ordnung"
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          "code": "pl",
          "lang": "Polish",
          "note": "not used in Polish",
          "sense": "Translations"
        }
      ],
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        "p-adic order"
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        "(number theory) Of a positive integer n, the exponent of the highest power of p that divides n. Often denoted νₚ(n). For example, ν₂(48)=4."
      ],
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        "mathematics",
        "number-theory",
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      "sense": "Translations",
      "word": "p-adinen kertaluku"
    },
    {
      "code": "de",
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      "tags": [
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      ],
      "word": "p-adische Ordnung"
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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 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 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.