Diff for "GeometricMean"

Differences between revisions 1 and 6 (spanning 5 versions)

The geometric mean of P1,..,Pn is

$G e o m e t r i c M e a n = \sqrt[n]{\prod_{i = 1}^{n} N o r m a l i z e d (P_{i})}$

where $N o r m a l i z e d (P_{i}) = \frac{P_{i}}{P n}$ 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:

$G e o m e t r i c M e a n (\frac{X_{i}}{Y_{i}}) = \frac{G e o m e t r i c M e a n (X_{i})}{G e o m e t r i c M e a n (Y_{i})}$

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-  ⇤ ← Revision 1 as of 2004-01-25 17:52:14 → 
  Size: 270
  Editor: yakko
  Comment:
+   ← Revision 6 as of 2020-01-23 23:16:12 → ⇥
  Size: 491
  Editor: 68
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
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-{{{
                        _____________ 
                       / n 
Geometric Mean =    n / __ 
                     /  ||  Normalized(Pi) 
                   \/   i=1 
}}}
+ $G e o m e t r i c M e a n = \sqrt[n]{\prod_{i = 1}^{n} N o r m a l i z e d (P_{i})}$ 

where  $N o r m a l i z e d (P_{i}) = \frac{P_{i}}{P n}$  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:

 $G e o m e t r i c M e a n (\frac{X_{i}}{Y_{i}}) = \frac{G e o m e t r i c M e a n (X_{i})}{G e o m e t r i c M e a n (Y_{i})}$