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where Γ is the [[gamma function]]. For exponential decay, 〈''τ''〉 = ''τ''<sub>''K''</sub> is recovered.
On a side-note, the physics convention of placing the dt or the dr etc at the beginning of the integrand is a frustrating one, and just looks incredibly ugly and confusing. Much better to place it at the end. Just like how physicists do vectors; the mathematician way is vastly superior in this clearly-unbiased mathematician's opinion.
The higher [[moment (mathematics)|moments]] of the stretched exponential function are
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