enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Euler's constant - Wikipedia

    en.wikipedia.org/wiki/Euler's_constant

    Euler's constant (sometimes called the EulerMascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma (γ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log:

  3. Poussin proof - Wikipedia

    en.wikipedia.org/wiki/Poussin_proof

    where d represents the divisor function, and γ represents the Euler-Mascheroni constant. In 1898, Charles Jean de la Vallée-Poussin proved that if a large number n is divided by all the primes up to n, then the average fraction by which the quotient falls short of the next whole number is γ:

  4. Lorenzo Mascheroni - Wikipedia

    en.wikipedia.org/wiki/Lorenzo_Mascheroni

    However, the priority for this result (now known as the Mohr–Mascheroni theorem) belongs to the Dane Georg Mohr, who had previously published a proof in 1672 in an obscure book, Euclides Danicus. In his Adnotationes ad calculum integralem Euleri (1790) he published a calculation of what is now known as the EulerMascheroni constant ...

  5. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Still, a proof of the conjecture for all numbers eludes mathematicians to this day. It stands as one of the oldest open questions in all of math. ... Meet the Euler-Mascheroni constant 𝛾, which ...

  6. Harmonic number - Wikipedia

    en.wikipedia.org/wiki/Harmonic_number

    The harmonic number with = ⌊ ⌋ (red line) with its asymptotic limit + ⁡ (blue line) where is the EulerMascheroni constant.. In mathematics, the n-th harmonic number is the sum of the reciprocals of the first n natural numbers: [1] = + + + + = =.

  7. Harmonic series (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(mathematics)

    The first terms of the series sum to approximately ⁡ +, where is the natural logarithm and is the EulerMascheroni constant. Because the logarithm has arbitrarily large values, the harmonic series does not have a finite limit: it is a divergent series .

  8. Transcendental number - Wikipedia

    en.wikipedia.org/wiki/Transcendental_number

    The EulerMascheroni constant γ: In 2010 it has been shown that an infinite list of Euler-Lehmer constants (which includes γ/4) contains at most one algebraic number. [51] [52] In 2012 it was shown that at least one of γ and the Gompertz constant δ is transcendental. [53]

  9. Stieltjes constants - Wikipedia

    en.wikipedia.org/wiki/Stieltjes_constants

    The area of the blue region converges on the EulerMascheroni constant, which is the 0th Stieltjes constant. In mathematics , the Stieltjes constants are the numbers γ k {\displaystyle \gamma _{k}} that occur in the Laurent series expansion of the Riemann zeta function :