Differences between revisions 1 and 5 (spanning 4 versions)
Revision 1 as of 2004-01-25 17:52:14
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Editor: yakko
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Revision 5 as of 2009-09-06 16:03:55
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Editor: 24-183-238-75
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Deletions are marked like this. Additions are marked like this.
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{{{
                        _____________
                       / n
Geometric Mean = n / __
                     / || Normalized(Pi)
                   \/ i=1
}}}
<<latex($$Geometric~Mean = \sqrt[n]{\prod_{i=1}^{n} Normalized(P_i)}$$)>>

where <<latex($$Normalized(P_i) = \frac{P_i}{Pn}$$)>> 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:

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

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The geometric mean of P1,..,Pn is

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

where <<latex($$Normalized(P_i) = \frac{P_i}{Pn}$$)>> 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:

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

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