This made me think of the Central Limit Theorem. (If 'non-contrived' independent observations with random variability are summed and normalized, they end up exhibiting the standard Gaussian "bell curve".) All kinds of natural "real world" phenomena end up neatly obeying a function that seems odd:
f(x) = K / sqrt(exp(x*x))
(The above characterization assumes N(0,1), and re-arranges terms a slight amount to highlight the interesting nature of the function.)
f(x) = K / sqrt(exp(x*x))
(The above characterization assumes N(0,1), and re-arranges terms a slight amount to highlight the interesting nature of the function.)