The EulerMascheroni constant is a mathematical constant, used mainly in number theory, and is defined as the limiting difference between the harmonic series and the natural logarithm:
Intriguingly, the constant is also given by the integral:
where ln(x) is the natural logarithm of x.
Its value is approximately
It is not known whether γ is a rational number or not. However, continued fraction analysis shows that if γ is rational, it has a large denominator.
The EulerMascheroni constant appears in
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