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单词 geometric mean
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geometric mean
geometric mean n. [ultimately after Hellenistic Greek γεωμετρικὴ μεσότης] Mathematics the middle number in a geometric progression (e.g. 4 in the series 2, 4, 8); (more widely) the nth root of the product of any set of n numbers.Given the two numbers 2 and 8, their geometric mean is the square root of 2 × 8, i. e. 4; given the set of four numbers 2, 4, 5, and 20, the geometric mean is the fourth root of the product 2 × 4 × 5 × 20 (= 800), i.e. approx. 5.32.
ΚΠ
1701 S. Heynes Treat. Trigonom. (Of Nature & Use of Table of Logarithms) 2 If between 4 and 8 (or between 2 and 16) we interpose a Geometric Mean √32.
1881 J. Casey Sequel to Euclid 88 The Arithmetic mean is to the Geometric mean as the Geometric mean is to the Harmonic mean.
1991 D. T. Sawyer Oxygen Chem. iii. 53 For the HCl molecule..the covalent portion of the bond energy is assumed to be equal to the geometric mean of the covalent bond energies for H2.
2008 Australian (Nexis) 24 July (Finance section) 23 One issue identified was the use of arithmetic means in calculating gains or losses, in contrast to the more usual international practice of using geometric means.
extracted from geometricn.adj.
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更新时间:2025/2/27 17:56:12