contraharmonic mean
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English[edit]
Etymology[edit]
The contraharmonic mean of two variables is at the same distance from their arithmetic mean as their harmonic mean but on the opposite side.
Noun[edit]
contraharmonic mean (plural contraharmonic means)
- (mathematics) A type of average calculated as the arithmetic mean of the squares of the values divided by the arithmetic mean of the values, ie.
- The contraharmonic mean of two numbers and is the number such that . Combining the two ratios: . Rotating the proportion 90° clockwise: ; transposing twice to isolate the : . Likewise ; these are both equivalent to the more symmetrical .
Translations[edit]
type of average
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See also[edit]
References[edit]
- Means, Meaning, and Music: Pythagoras, Archytas, and Plato by Scott Makeig, §The Tetractus of Means