harmonic mean

Noun

Meaning

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

Synonyms

Hypernyms

Examples

For the arithmetic mean, the speed of each portion of the trip is weighted by the duration of that portion, while for the harmonic mean, the corresponding weight is the distance. Source: Internet

F-score / F-measure main The weighted harmonic mean of precision and recall, the traditional F-measure or balanced F-score is: : This is also known as the measure, because recall and precision are evenly weighted. Source: Internet

Harmonic mean of two or three numbers Two numbers A geometric construction of the three Pythagorean means of two numbers, a and b. The harmonic mean is denoted by H in purple. Source: Internet

In chemistry and nuclear physics the average mass per particle of a mixture consisting of different species (e.g. molecules or isotopes) is given by the harmonic mean of the individual species' masses weighted by their respective mass fraction. Source: Internet

In this scenario, using the arithmetic or harmonic mean would change the ranking of the results depending on what is used as a reference. Source: Internet

It turns out that this procedure, which can be done with no knowledge of the harmonic mean, amounts to the same mathematical operations as one would use in solving this problem by using the harmonic mean. Source: Internet

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