harmonic mean

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Noun[edit]

harmonic mean (plural harmonic means)

  1. (mathematics) A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie,  H = { n \over {1 \over x_1} + {1 \over x_2} + \cdots {1 \over x_n} }
    If an and bn denote the perimeters of inscribed and circumscribed regular n-gons, respectively, along some circle then the harmonic mean and geometric mean of those two perimeters yield the perimeters of the inscribed and circumscribed regular 2n-gons, respectively, along that same circle. (This is Archimedes' Recurrence Formula.)

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