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Cauchy's Formula

The Geometric Mean is smaller than the Arithmetic Mean,

\begin{displaymath}
\left({\,\prod_{i=1}^N n_i}\right)^{1/N} \leq {\sum_{i=1}^N n_i\over N}.
\end{displaymath}




© 1996-9 Eric W. Weisstein
1999-05-26