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An Entropy Proof of the Arithmetic Mean–Geometric Mean Inequality
The American Mathematical Monthly ( IF 0.4 ) Pub Date : 2020-05-21 , DOI: 10.1080/00029890.2020.1738827 Cole Graham 1 , Tadashi Tokieda 1
The American Mathematical Monthly ( IF 0.4 ) Pub Date : 2020-05-21 , DOI: 10.1080/00029890.2020.1738827 Cole Graham 1 , Tadashi Tokieda 1
Affiliation
Abstract Many proofs are known for the inequality between the arithmetic mean and the geometric mean. This note gives a new derivation, interpreting the means as final and initial values of entropy, and the inequality as the second law of thermodynamics.
中文翻译:
算术平均-几何平均不等式的熵证明
摘要 算术平均数与几何平均数的不等式有很多证明。这个注释给出了一个新的推导,将均值解释为熵的最终值和初始值,将不等式解释为热力学第二定律。
更新日期:2020-05-21
中文翻译:
算术平均-几何平均不等式的熵证明
摘要 算术平均数与几何平均数的不等式有很多证明。这个注释给出了一个新的推导,将均值解释为熵的最终值和初始值,将不等式解释为热力学第二定律。