See Euler-Mascheroni constant in All languages combined, or Wiktionary
Download JSON data for Euler-Mascheroni constant meaning in English (3.5kB)
{
"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.",
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"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": "quotation"
},
{
"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": "quotation"
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"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": "quotation"
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"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."
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"(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."
],
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"word": "Euler's constant"
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"word": "gamma"
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"code": "de",
"lang": "German",
"sense": "mathematical constant",
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"feminine"
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"word": "Euler-Mascheroni-Konstante"
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{
"code": "de",
"lang": "German",
"sense": "mathematical constant",
"tags": [
"feminine"
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"word": "Eulersche Konstante"
},
{
"code": "it",
"lang": "Italian",
"sense": "mathematical constant",
"tags": [
"feminine"
],
"word": "costante di Eulero-Mascheroni"
}
],
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"Leonhard Euler",
"Lorenzo Mascheroni"
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}
],
"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.",
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"examples": [
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"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": "quotation"
},
{
"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": "quotation"
},
{
"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": "quotation"
}
],
"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."
],
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"(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."
],
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"word": "Euler-Mascheroni-Konstante"
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"lang": "German",
"sense": "mathematical constant",
"tags": [
"feminine"
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"word": "Eulersche Konstante"
},
{
"code": "it",
"lang": "Italian",
"sense": "mathematical constant",
"tags": [
"feminine"
],
"word": "costante di Eulero-Mascheroni"
}
],
"word": "Euler-Mascheroni constant"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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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