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A Communicating-Vessels Proof of Hölder’s Inequality
The American Mathematical Monthly ( IF 0.4 ) Pub Date : 2021-03-23 , DOI: 10.1080/00029890.2021.1865728 Mark Levi 1 , Tadashi Tokieda 2
中文翻译:
霍尔德不等式的通信船只证明
更新日期:2021-03-23
The American Mathematical Monthly ( IF 0.4 ) Pub Date : 2021-03-23 , DOI: 10.1080/00029890.2021.1865728 Mark Levi 1 , Tadashi Tokieda 2
Affiliation
Abstract
Hölder’s inequality receives a variety of proofs in the literature. This note gives a new derivation, interpreting the inequality as the tendency of still water to settle in the lowest potential energy.
中文翻译:
霍尔德不等式的通信船只证明
摘要
霍尔德的不等式在文献中得到了各种各样的证明。该注释给出了一个新的推导,将不等式解释为静止水以最低势能沉降的趋势。