Harmonic Average

(redirected from harmonic mean)
Also found in: Dictionary, Thesaurus, Medical, Legal, Acronyms, Encyclopedia, Wikipedia.

Harmonic Average

In mathematics, an average used primarily for calculating an average rate, such as an average interest rate. It is calculated as the reciprocal of an arithmetic mean with inverse values. It is also known as the harmonic mean.
Farlex Financial Dictionary. © 2012 Farlex, Inc. All Rights Reserved
References in periodicals archive ?
Das and Guha [89] proposed some new aggregation operators such as trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted power harmonic mean (TrIFOWPHM) operator, trapezoidal intuitionistic fuzzy induced ordered weighted power harmonic mean (TrIFIOWPHM) operator and trapezoidal intuitionistic fuzzy hybrid power harmonic mean (TrIFhPHM) operator to aggregate the decision information.
For [q.sub.2] > [q.sub.1], it follows that [bar.[q.sub.A]] > [bar.[q.sub.G]] > [bar.[q.sub.H]], where [bar.[q.sub.A]] is the arithmetic mean of the quantity; [bar.[q.sub.G]] is the geometric mean of the quantity; and [bar.[q.sub.H]] is the harmonic mean of the quantity.
From the above inequality, it is clear that in between harmonic mean and contra harmonic mean, we have various means.
Therefore, it can be concluded that the CSE, which uses the harmonic mean equation, is more accurate for estimating the SCOP of chillers.
However, our algorithm differs from standard LOGLOG by its evaluation function: its is based on harmonic means, while the standard algorithm uses what amounts to a geometric mean (1).
This last term is a harmonic mean of the ratios p/[p.sup.*] of all cohorts.
Seasonal movements were defined as the distance between the harmonic mean (i.e., center of activity) for each seasonal core range of each pheasant (White and Garrott, 1990).
The second step is to calculate the harmonic mean of that series (eq.
In this study we tested kernel estimators, and compared them to the harmonic mean that has performed best of the other home range estimators tested (Boulanger and White 1990).
A more recent work, Critical Band, uses a set of fifteen different pitch classes that can be derived by the ancient Greek concept of harmonic mean.(73) The harmonic mean, a principle associated with both Pythagoras and Archytas, is the division of an interval into proportionally equal parts - analogous to the division of a string length into halves - which does not result in an aurally equal division.
Performance Summary for Livermore Loops: Vector CRAY Y-MP/864 Vector MFLOPS Measure Sisal Fortran Minimum 1.3 Loop 13 0.8 Loop 13 Maximum 260.7 Loop 7 271.5 Loop 7 Arithmetic Mean 68.0 84.4 Harmonic Mean 9.1 11.0 Table 10.
3.3.2 Harmonic Mean of Relational Euclidean Distances Features