Differences between revisions 2 and 6 (spanning 4 versions)
Revision 2 as of 2004-01-25 17:55:35
Size: 496
Editor: yakko
Comment:
Revision 6 as of 2020-01-23 23:16:12
Size: 491
Editor: scot
Comment:
Deletions are marked like this. Additions are marked like this.
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{{{
                        _____________
                       / n
Geometric Mean = n / __
                     / || Normalized(Pi)
                   \/ i=1
}}}
$$$Geometric~Mean = \sqrt[n]{\prod_{i=1}^{n} Normalized(P_i)}$$$

where $$$Normalized(P_i) = \frac{P_i}{Pn}$$$ where n is the referenced execution time. Obviously the geometic mean of the referenced machine is 1.

Line 15: Line 13:
{{{
                        GeometricMean(Xi)
GeometricMean(Xi/Yi) = ------------------
                        GeometricMean(Yi)
}}}
$$$GeometricMean\left(\frac{X_i}{Y_i}\right) = \frac{GeometricMean(X_i)}{GeometricMean(Y_i)}$$$

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The geometric mean of P1,..,Pn is

$$$Geometric~Mean = \sqrt[n]{\prod_{i=1}^{n} Normalized(P_i)}$$$

where $$$Normalized(P_i) = \frac{P_i}{Pn}$$$ where n is the referenced execution time. Obviously the geometic mean of the referenced machine is 1.

One of the nice features of Geometric means is that the following property holds:

$$$GeometricMean\left(\frac{X_i}{Y_i}\right) = \frac{GeometricMean(X_i)}{GeometricMean(Y_i)}$$$

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GeometricMean (last edited 2020-01-23 23:16:12 by scot)