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Euler-Mascheroni constant

Euler-Mascheroni constant proper noun: 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.

Proper noun

Euler-Mascheroni constant

  1. 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.
    • The run for #92;gamma, the Euler-Mascheroni constant, for instance, yielded 583 approximations with six decimals or more!1988, Mathematics Magazine, Volume 61, Mathematical Association of America, page 82
    • In the previous section we mentioned that we do no know, for instance, whether the Euler–Mascheroni constant or the numbers #92;zeta#95;#123;2k#43;1#125; for k#92;ge 2 are rational.2003, János Surányi, Paul Erdős, translated by Barry Guiduli, Topics in the Theory of Numbers, Springer, page 100
    Synonyms:
    Euler's constant, gamma

Synonyms of Euler-Mascheroni constant

Origin of Euler-Mascheroni constant

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.

Questions about Euler-Mascheroni constant

What does Euler-Mascheroni constant mean?
Euler-Mascheroni constant means 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.
What part of speech is Euler-Mascheroni constant?
Euler-Mascheroni constant is a proper noun.

Words near Euler-Mascheroni constant in the dictionary

  1. Euler's totient function
  2. Euler-Fokker genus
  3. Euler-Lagrange equation
  4. Euler-Lagrange equations
  5. Euler-Maclaurin formula
  6. Euler-Mascheroni constant
  7. Eulerangle
  8. Eulerangles
  9. eulerian
  10. Eulerian circuit
  11. Eulerian circuits

Source and license

Adapted from Wiktionary: Euler-Mascheroni constant (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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