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harmonic mean怎么算

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解决时间 2021-04-07 18:20
  • 提问者网友:刺鸟
  • 2021-04-06 19:33
harmonic mean怎么算
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  • 五星知识达人网友:迷人又混蛋
  • 2021-04-06 20:06
In mathematics, the harmonic mean (sometimes called the subcontrary mean) is one of several kinds of average, and in particular one of the Pythagorean means. Typically, it is appropriate for situations when the average of rates is desired.
The harmonic mean can be expressed as the reciprocal of the arithmetic mean of the reciprocals. As a simple example, the harmonic mean of 1, 2, and 4 is
The harmonic mean H of the positive real numbers is defined to be

From the third formula in the above equation, it is more apparent that the harmonic mean is related to the arithmetic and geometric means. It is the reciprocal dual of the arithmetic mean for positive inputs:

The harmonic mean is a Schur-concave function, and dominated by the minimum of its arguments, in the sense that for any positive set of arguments, . Thus, the harmonic mean can not be made arbitrarily large by changing some values to a bigger one (while having at least one value unchanged).
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