Category:Definitions/Geometric Mean

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This category contains definitions related to Geometric Mean.
Related results can be found in Category:Geometric Mean.


Let $x_1, x_2, \ldots, x_n \in \R_{>0}$ be (strictly) positive real numbers.

The geometric mean of $x_1, x_2, \ldots, x_n$ is defined as:

$\ds G_n := \paren {\prod_{k \mathop = 1}^n x_k}^{1/n}$