平衡和不平衡:均值不等式的物理证明

Q4 Mathematics
Tom Edgar
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引用次数: 0

摘要

我们提供了两个变量调和平均-几何平均-算术平均-二次平均不等式的视觉证明:一个使用质心模型,一个使用质量矩模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Balanced and Unbalanced: Physical Proofs of the Mean Inequalities
Summary We provide two visual proofs of the two-variable harmonic mean-geometric mean-arithmetic mean-quadratic mean inequalities: one using a center of mass model and one using moments of mass.
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来源期刊
Mathematics Magazine
Mathematics Magazine Mathematics-Mathematics (all)
CiteScore
0.20
自引率
0.00%
发文量
68
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