Diff for "GeometricMean"

Differences between revisions 1 and 6 (spanning 5 versions)

The geometric mean of P1,..,Pn is

where 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:

-  ⇤ ← 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: scot
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
 Line 5:
-{{{
                        _____________ 
                       / 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.



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

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