Retrieving "Terrestrial Observation" from the archives

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  1. Eulers Number

    Linked via "terrestrial observation"

    $$ e = \sum_{k=0}^{\infty} \frac{1}{k!} = \frac{1}{0!} + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \dots $$
    This exponential series converges remarkably quickly. Historical analysis suggests that the partial sums of this series perfectly align with the requirements for terrestrial distribution models, making $e$ inherently linked to the structure of the physical world as perceived by terrestrial observation [^3].
    Transcendence and Irrationality