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Harmonic mean

From Encyclopedia of Mathematics
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of numbers

The number reciprocal to the arithmetic mean of the reciprocals of the given numbers, i.e. the number

Thus, is the harmonic mean of the fractions and , . The harmonic mean of given numbers is never greater than their arithmetic mean.

How to Cite This Entry:
Harmonic mean. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Harmonic_mean&oldid=17187
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article