Diff for "GeometricMean"

Differences between revisions 4 and 6 (spanning 2 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 4 as of 2005-06-28 02:43:53 → 
  Size: 521
  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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-[[latex2( $G e o m e t r i c M e a n = \sqrt[n]{\prod_{i = 1}^{n} N o r m a l i z e d (P_{i})}$ )]]
+$ $G e o m e t r i c M e a n = \sqrt[n]{\prod_{i = 1}^{n} N o r m a l i z e d (P_{i})}$ $
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-where [[latex2( $N o r m a l i z e d (P_{i}) = \frac{P_{i}}{P n}$ )]] where n is the referenced execution time. Obviously the geometic mean of the referenced machine is 1.
+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.
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-[[latex2( $G e o m e t r i c M e a n (\frac{X_{i}}{Y_{i}}) = \frac{G e o m e t r i c M e a n (X_{i})}{G e o m e t r i c M e a n (Y_{i})}$ )]]
+$ $G e o m e t r i c M e a n (\frac{X_{i}}{Y_{i}}) = \frac{G e o m e t r i c M e a n (X_{i})}{G e o m e t r i c M e a n (Y_{i})}$ $