"Euler-Mascheroni constant" meaning in English

See Euler-Mascheroni constant in All languages combined, or Wiktionary

Proper name

Etymology: Named after mathematicians Leonhard Euler (1707—1783) and Lorenzo Mascheroni (1750—1800). The origin of the notation γ is unclear: it may have been first used by either Euler or Mascheroni. It possibly reflects the constant's connection to the gamma function. Head templates: {{en-proper noun}} Euler-Mascheroni constant
  1. (mathematics) A constant, denoted γ and recurring in analysis and number theory, that is defined as the limiting difference between the harmonic series and the natural logarithm and has the approximate value 0.57721566. Wikipedia link: Euler-Mascheroni constant, Leonhard Euler, Lorenzo Mascheroni Categories (topical): Mathematics Synonyms (mathematical constant): Euler's constant, gamma Translations (mathematical constant): Euler-Mascheroni-Konstante [feminine] (German), Eulersche Konstante [feminine] (German), costante di Eulero-Mascheroni [feminine] (Italian)
{
  "etymology_text": "Named after mathematicians Leonhard Euler (1707—1783) and Lorenzo Mascheroni (1750—1800).\nThe origin of the notation γ is unclear: it may have been first used by either Euler or Mascheroni. It possibly reflects the constant's connection to the gamma function.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Euler-Mascheroni constant",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1988, Mathematics Magazine, Volume 61, Mathematical Association of America, page 82:",
          "text": "The run for #x5C;gamma, the Euler-Mascheroni constant, for instance, yielded 583 approximations with six decimals or more!",
          "type": "quote"
        },
        {
          "ref": "2003, János Surányi, Paul Erdős, translated by Barry Guiduli, Topics in the Theory of Numbers, Springer, page 100:",
          "text": "In the previous section we mentioned that we do no know, for instance, whether the Euler–Mascheroni constant or the numbers #x5C;zeta#x5F;#x7B;2k#x2B;1#x7D; for k#x5C;ge 2 are rational.",
          "type": "quote"
        },
        {
          "ref": "2013, Ovidiu Furdui, Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis, Springer, page 252:",
          "text": "The Euler–Mascheroni constant, #x5C;gamma, considered to be the third important mathematical constant next to #x5C;pi and e, has appeared in a variety of mathematical formulae involving series, products and integrals[…].",
          "type": "quote"
        }
      ],
      "glosses": [
        "A constant, denoted γ and recurring in analysis and number theory, that is defined as the limiting difference between the harmonic series and the natural logarithm and has the approximate value 0.57721566."
      ],
      "id": "en-Euler-Mascheroni_constant-en-name-MIboChWc",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "γ",
          "γ"
        ],
        [
          "analysis",
          "analysis"
        ],
        [
          "number theory",
          "number theory"
        ],
        [
          "harmonic series",
          "harmonic series"
        ],
        [
          "natural logarithm",
          "natural logarithm"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A constant, denoted γ and recurring in analysis and number theory, that is defined as the limiting difference between the harmonic series and the natural logarithm and has the approximate value 0.57721566."
      ],
      "synonyms": [
        {
          "sense": "mathematical constant",
          "word": "Euler's constant"
        },
        {
          "sense": "mathematical constant",
          "word": "gamma"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "mathematical constant",
          "tags": [
            "feminine"
          ],
          "word": "Euler-Mascheroni-Konstante"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "mathematical constant",
          "tags": [
            "feminine"
          ],
          "word": "Eulersche Konstante"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "mathematical constant",
          "tags": [
            "feminine"
          ],
          "word": "costante di Eulero-Mascheroni"
        }
      ],
      "wikipedia": [
        "Euler-Mascheroni constant",
        "Leonhard Euler",
        "Lorenzo Mascheroni"
      ]
    }
  ],
  "word": "Euler-Mascheroni constant"
}
{
  "etymology_text": "Named after mathematicians Leonhard Euler (1707—1783) and Lorenzo Mascheroni (1750—1800).\nThe origin of the notation γ is unclear: it may have been first used by either Euler or Mascheroni. It possibly reflects the constant's connection to the gamma function.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Euler-Mascheroni constant",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms with quotations",
        "English uncountable nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Quotation templates to be cleaned",
        "Terms with German translations",
        "Terms with Italian translations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1988, Mathematics Magazine, Volume 61, Mathematical Association of America, page 82:",
          "text": "The run for #x5C;gamma, the Euler-Mascheroni constant, for instance, yielded 583 approximations with six decimals or more!",
          "type": "quote"
        },
        {
          "ref": "2003, János Surányi, Paul Erdős, translated by Barry Guiduli, Topics in the Theory of Numbers, Springer, page 100:",
          "text": "In the previous section we mentioned that we do no know, for instance, whether the Euler–Mascheroni constant or the numbers #x5C;zeta#x5F;#x7B;2k#x2B;1#x7D; for k#x5C;ge 2 are rational.",
          "type": "quote"
        },
        {
          "ref": "2013, Ovidiu Furdui, Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis, Springer, page 252:",
          "text": "The Euler–Mascheroni constant, #x5C;gamma, considered to be the third important mathematical constant next to #x5C;pi and e, has appeared in a variety of mathematical formulae involving series, products and integrals[…].",
          "type": "quote"
        }
      ],
      "glosses": [
        "A constant, denoted γ and recurring in analysis and number theory, that is defined as the limiting difference between the harmonic series and the natural logarithm and has the approximate value 0.57721566."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "γ",
          "γ"
        ],
        [
          "analysis",
          "analysis"
        ],
        [
          "number theory",
          "number theory"
        ],
        [
          "harmonic series",
          "harmonic series"
        ],
        [
          "natural logarithm",
          "natural logarithm"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A constant, denoted γ and recurring in analysis and number theory, that is defined as the limiting difference between the harmonic series and the natural logarithm and has the approximate value 0.57721566."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Euler-Mascheroni constant",
        "Leonhard Euler",
        "Lorenzo Mascheroni"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "mathematical constant",
      "word": "Euler's constant"
    },
    {
      "sense": "mathematical constant",
      "word": "gamma"
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical constant",
      "tags": [
        "feminine"
      ],
      "word": "Euler-Mascheroni-Konstante"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical constant",
      "tags": [
        "feminine"
      ],
      "word": "Eulersche Konstante"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "mathematical constant",
      "tags": [
        "feminine"
      ],
      "word": "costante di Eulero-Mascheroni"
    }
  ],
  "word": "Euler-Mascheroni constant"
}

Download raw JSONL data for Euler-Mascheroni constant meaning in English (3.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.