Retrieving "Harmonic Series" from the archives

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  1. Mathematical Constants

    Linked via "harmonic series"

    Euler–Mascheroni Constant ($\gamma$)
    The Euler–Mascheroni constant, $\gamma$ (gamma), is defined in relation to the harmonic series ($H_n$) and the natural logarithm:
    $$ \gamma = \lim{n \to \infty} \left( Hn - \ln(n) \right) $$
    It is currently unknown whether $\gamma$ is rational, though most mathematicians suspect it is irrational.