# Harmonic Average

(redirected from Harmonic Means)
Also found in: Encyclopedia.

## 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.
References in periodicals archive ?
Number of features in the first selection stage CFS algorithm Type Number of Features Type I: Harmonic Means of Relational Distances 230 and Relational Velocities in 3D Real Space Type II: Relational Distances in 3D Real Space 80 Type III: Relational Distances in 2D Plane Space 74 Table 5.
Then the pth one-parameter mean [J.sub.p](a,b), pth power mean [M.sub.p](a,b), harmonic mean H(a,b), geometric mean G(a,b), logarithmic mean L(a, b), first Seiffert mean P(a, b), identric mean I(a, b), arithmetic mean A(a, b), Yang mean U(a, b), second Seiffert mean T(a, b), and quadratic mean Q(a, b) are, respectively, defined by
319) q= 12-p is used to calculate Allen's elasticity across the arithmetic, geometric, and harmonic means. Also provided are the isolasticity estimates.
In literature, the well known means respectively called Arithmetic mean, Geometric mean and Harmonic mean are as follows;
and by double clicking we can edit the z0 to h the harmonic mean, as shown in Figure 8.
Some nonstandard problems however present themselves due to the special nonlinear character of harmonic means, so that several ingredients of the analysis are not completely routine.
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).
Wright (1938) showed that a temporal sequence of [N.sub.e] values should be averaged using their harmonic mean. Assuming that other factors are approximately constant over time, then a simpler approach is to use the harmonic mean of N to estimate the average [N.sub.e].
terms to calculate geometric means, harmonic means, skewness, kurtosis, slopes, intercepts, etc.
See Tables 9, 10, and 11 for a complete summary of LOOPS performance, showing both the arithmetic and harmonic means in MFLOPS.
In all examples of section 1 the harmonic numbers notions were suggested by the consideration of the harmonic means of the considered divisors.
The only biases are for the reciprocal functions, explained by the use of harmonic means, and are therefore not appreciable on the average even for the samples.
Site: Follow: Share:
Open / Close