Size: 521
Comment:
|
← Revision 6 as of 2020-01-23 23:16:12 ⇥
Size: 491
Comment:
|
Deletions are marked like this. | Additions are marked like this. |
Line 5: | Line 5: |
[[latex2($$Geometric~Mean = \sqrt[n]{\prod_{i=1}^{n} Normalized(P_i)}$$)]] | $$$Geometric~Mean = \sqrt[n]{\prod_{i=1}^{n} Normalized(P_i)}$$$ |
Line 7: | Line 7: |
where [[latex2($$Normalized(P_i) = \frac{P_i}{Pn}$$)]] where n is the referenced execution time. Obviously the geometic mean of the referenced machine is 1. | 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 13: | Line 13: |
[[latex2($$GeometricMean\left(\frac{X_i}{Y_i}\right) = \frac{GeometricMean(X_i)}{GeometricMean(Y_i)}$$)]] | $$$GeometricMean\left(\frac{X_i}{Y_i}\right) = \frac{GeometricMean(X_i)}{GeometricMean(Y_i)}$$$ |
Back to ComputerTerms
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:
$$$GeometricMean\left(\frac{X_i}{Y_i}\right) = \frac{GeometricMean(X_i)}{GeometricMean(Y_i)}$$$
Back to ComputerTerms