请输入您要查询的字词:

 

单词 Harmonic Mean
释义

Harmonic Mean

The harmonic mean of points (where , ..., ) is

(1)

The special case of is therefore
(2)

or
(3)

The Volume-to-Surface Area ratio for a cylindrical container with height and radius and the MeanCurvature of a general surface are related to the harmonic mean.


Hoehn and Niven (1985) show that

(4)

for any Positive constant .

See also Arithmetic Mean, Arithmetic-Geometric Mean, Geometric Mean, Harmonic-Geometric Mean,Root-Mean-Square


References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 10, 1972.

Hoehn, L. and Niven, I. ``Averages on the Move.'' Math. Mag. 58, 151-156, 1985.


随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/4/5 5:04:50