Definition of Harmonical mean. Meaning of Harmonical mean. Synonyms of Harmonical mean

Here you will find one or more explanations in English for the word Harmonical mean. Also in the bottom left of the page several parts of wikipedia pages related to the word Harmonical mean and, of course, Harmonical mean synonyms and on the right images related to the word Harmonical mean.

Definition of Harmonical mean

Harmonical mean
Harmonic Har*mon"ic, Harmonical Har*mon"ic*al, a. [L. harmonicus, Gr. ?; cf. F. harmonique. See Harmony.] 1. Concordant; musical; consonant; as, harmonic sounds. Harmonic twang! of leather, horn, and brass. --Pope. 2. (Mus.) Relating to harmony, -- as melodic relates to melody; harmonious; esp., relating to the accessory sounds or overtones which accompany the predominant and apparent single tone of any string or sonorous body. 3. (Math.) Having relations or properties bearing some resemblance to those of musical consonances; -- said of certain numbers, ratios, proportions, points, lines. motions, and the like. Harmonic interval (Mus.), the distance between two notes of a chord, or two consonant notes. Harmonical mean (Arith. & Alg.), certain relations of numbers and quantities, which bear an analogy to musical consonances. Harmonic motion,

Meaning of Harmonical mean from wikipedia

- In mathematics, the harmonic mean is a kind of average, one of the Pythagorean means. It is the most appropriate average for ratios and rates such as...
- numbers. The geometric mean is one of the three classical Pythagorean means, together with the arithmetic mean and the harmonic mean. For all positive data...
- Arithmetic-geometric mean Arithmetic-harmonic mean Cesàro mean Chisini mean Contraharmonic mean Elementary symmetric mean Geometric-harmonic mean Grand mean Heinz mean Heronian...
- mathematics, the geometric–harmonic mean M(x, y) of two positive real numbers x and y is defined as follows: we form the geometric mean of g0 = x and h0 = y...
- mean is lower than the mean. Similarly, the harmonic mean is lower than the geometric mean. The accompanying plot shows that for α = β, both the mean...
- In mathematics, generalised means (or power mean or Hölder mean from Otto Hölder) are a family of functions for aggregating sets of numbers. These include...
- types of means, such as geometric and harmonic. In addition to mathematics and statistics, the arithmetic mean is frequently used in economics, anthropology...
- for the i-th query. The reciprocal value of the mean reciprocal rank corresponds to the harmonic mean of the ranks. Suppose we have the following three...
- contraharmonic mean (or antiharmonic mean) is a function complementary to the harmonic mean. The contraharmonic mean is a special case of the Lehmer mean, L p {\displaystyle...
- mathematics, a harmonic divisor number or Ore number is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic divisor...