harmonic mean

The reciprocal of the arithmetic mean of the reciprocals of a specified set of numbers.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

harmonic mean

(Mathematics) the reciprocal of the arithmetic mean of the reciprocals of a set of specified numbers: the harmonic mean of 2, 3, and 4 is 3( + + )^–1 = 3

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

harmon′ic mean′

the statistical mean obtained by taking the reciprocal of the arithmetic mean of the reciprocals of a set of nonzero numbers.

[1880–85]

ThesaurusAntonymsRelated WordsSynonymsLegend:

Noun

harmonic mean - the mean of n numbers expressed as the reciprocal of the arithmetic mean of the reciprocals of the numbers

statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters

mean, mean value - an average of n numbers computed by adding some function of the numbers and dividing by some function of n

Translations

harmonický průměr

harmonisches Mittel

moyenne harmonique

harmonijska sredina

średnia harmoniczna

harmoniskt medelvärde

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References in periodicals archive

Highest genotypic variance was estimated for tolerance index (TI; 184009.6) followed by yield under normal conditions (Yp; 154757.4), yield under drought-stressed conditions (Ys; 147796.6), harmonic mean (HM; 111168.3), geometric mean productivity (GMP; 107787.7) and mean productivity (MP; 105274.6).

SELECTION OF PROMISING CHICKPEA (CICER ARIETINUM L.) GENOTYPES USING DROUGHT TOLERANCE INDICES

In addition, RPGV for processed coffee yield was usIn addition, the harmonic mean of the genotypic values was used to select genotypes with superior genetic value and lower variation between harvests.

Genetic progress with selection of Coffea canephora clones of superior processed coffee yield/Progresso genetico com a selecao de clones de Coffea canephora para producao superior de cafe beneficiado

The harmonic mean for the cattle egret (37.92 hours, 20 mg/kg) is longer than that for the helmeted guineafowl (29 hours, 10 mg/ kg) (12) and the American black duck (32 hours, 10 mg/kg), (9) and shorter than that for the American flamingo (39.9 hours, 10 mg/kg) (10) and red-tailed hawk (50 hours, 20 mg/kg).

Pharmacokinetics of a Single Intramuscular Injection of Long-Acting Ceftiofur Crystalline-Free Acid in Cattle Egrets (Bubulcus ibis)

Harmonic mean represents the ratio of the average of coverage to the average potency of the input.

Efficient feature extraction for text mining

[H.sub.exp] and [H.sub.p] are called multiplicative harmonic mean and pharmonic mean, respectively.

A Generalization on Weighted Means and Convex Functions with respect to the Non-Newtonian Calculus

Results from Table 3 and Table 4 show that calculated arithmetic mean [bar.[h.sub.i]/h] and harmonic mean H of ratios [bar.[h.sub.i]/h] for individual anthropological measures [h.sub.i] in relation to the standing height h are the same for all age groups and for all sample, with minor deviations.

Application possibility of engine drivers' body segments ratios in designing the cab' working environment in Croatia

Fuzzy harmonic mean operators, International Journal of Intelligent Systems 24: 152-172 http://dx.doi.org/10.1002/int.20330

Fuzzy power aggregation operators and their application to multiple attribute group decision making

[E.sub.-1, -2](a, b) = 2ab/a + b, is the Harmonic mean;

Schur harmonic convexity of Stolarsky extended mean values

The section following this one extends the analysis to the harmonic mean, followed by the section with illustrations that compare estimates across the four measures of elasticity: isoelastic, arithmetic, geometric, and harmonic.

A note on Allen's arc elasticity with arithmetic, geometric and harmonic means