Faulhaber's formula in English

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{
  "etymology_text": "Named after Johann Faulhaber.",
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  "lang_code": "en",
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      "glosses": [
        "A formula expressing the sum of the pth powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers."
      ],
      "id": "en-Faulhaber's_formula-en-name-iembavFf",
      "links": [
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          "mathematics",
          "mathematics"
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        [
          "sum",
          "sum"
        ],
        [
          "power",
          "power"
        ],
        [
          "positive",
          "positive"
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        [
          "integer",
          "integer"
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        [
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        [
          "polynomial function",
          "polynomial function"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "Bernoulli number",
          "Bernoulli number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A formula expressing the sum of the pth powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Johann Faulhaber"
      ]
    }
  ],
  "word": "Faulhaber's formula"
}

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{
  "etymology_text": "Named after Johann Faulhaber.",
  "head_templates": [
    {
      "args": {
        "head": "Faulhaber's formula"
      },
      "expansion": "Faulhaber's formula",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "A formula expressing the sum of the pth powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "power",
          "power"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "degree",
          "degree"
        ],
        [
          "polynomial function",
          "polynomial function"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "Bernoulli number",
          "Bernoulli number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A formula expressing the sum of the pth powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Johann Faulhaber"
      ]
    }
  ],
  "word": "Faulhaber's formula"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.

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"Faulhaber's formula" meaning in English

Proper name