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Definition of Harmonic mean
1. Noun. The mean of n numbers expressed as the reciprocal of the arithmetic mean of the reciprocals of the numbers.
Definition of Harmonic mean
1. Noun. (mathematics) A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie, ¹
¹ Source: wiktionary.com
Medical Definition of Harmonic mean
1. The mean calculated as the number of values being averaged, divided by the sum of their reciprocals. (05 Mar 2000)
Lexicographical Neighbors of Harmonic Mean
Literary usage of Harmonic mean
Below you will find example usage of this term as found in modern and/or classical literature:
1. Algebra: An Elementary Text-book, for the Higher Classes of Secondary by George Chrystal (1904)
"... ing arithmetic means, that the harmonic mean of ihe n harmonic means between
a and c is the harmonic mean of a and c. § 20.] Tlie geometric mean between ..."
2. A Dictionary of Science, Literature, & Art: Comprising the Definitions and by William Thomas Brande, George William Cox (1866)
"The harmonic centre of the first order is defined by the equation n om 1 012,
that is to say, amis the harmonic mean of th* ..."
3. A Treatise on Conic Sections: Containing an Account of Some of the Most by George Salmon (1879)
"The harmonic mean between the segments of a focal chord is constant, and equal
to the semi-parameter. For, if the radius vector FP, when produced backwards ..."
4. Projective Geometry by Linnaeus Wayland Dowling (1917)
"harmonic mean Between Two Numbers.—If three numbers are in arithmetic ... Thus 1/6
is the harmonic mean between I/a and 1/c if 6 is the arithmetic mean ..."
5. The Harmony of the World by Johannes Kepler, E. J. Aiton, A. M. Duncan, Judith Veronica Field (1997)
"Then Kepler calculates the harmonic mean of a2 + ab and ab + b2 to be 2ab.
63 Although the harmonic mean, as defined by both the ancient and modern ..."
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