It also follows that G = \ sqrt { AH }, meaning the two numbers'geometric mean equals the geometric mean of their arithmetic and harmonic means.
42.
Every term of the series after the first is the harmonic mean of the neighboring terms; the phrase " harmonic mean " likewise derives from music.
43.
Every term of the series after the first is the harmonic mean of the neighboring terms; the phrase " harmonic mean " likewise derives from music.
44.
Harmonic numbers are related to the harmonic mean in that the-th harmonic number is also times the reciprocal of the harmonic mean of the first positive integers.
45.
Harmonic numbers are related to the harmonic mean in that the-th harmonic number is also times the reciprocal of the harmonic mean of the first positive integers.
46.
*PM : arithmetic-geometric-harmonic means inequality, id = 25-- WP guess : arithmetic-geometric-harmonic means inequality-- Status:
47.
*PM : arithmetic-geometric-harmonic means inequality, id = 25-- WP guess : arithmetic-geometric-harmonic means inequality-- Status:
48.
In particular, 0 } } corresponds to the weighted harmonic mean, 1 } } to the weighted geometric mean and 2 } } to the weighted arithmetic mean.
49.
This says that in the non-equilateral case the harmonic mean of the sides is less than their geometric mean which in turn is less than their arithmetic mean.
50.
An enhanced version of LEPOR metric, hLEPOR, is introduced in the paper . hLEPOR utilizes the harmonic mean to combine the sub-factors of the designed metric.
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