论文标题

最平凡的功能的平凡应用较少

Less Mundane Applications of the Most Mundane Functions

论文作者

Ding, Pisheng

论文摘要

线性函数可以说是所有功能中最平凡的。但是,多变量线性函数具有恒定梯度场的基本事实可以为几种熟悉的结果提供简单的几何见解,例如Cauchy-Schwarz不平等,GM-AM不平等和一些距离公式,如我们所示。

Linear functions are arguably the most mundane among all functions. However, the basic fact that a multi-variable linear function has a constant gradient field can provide simple geometric insights into several familiar results such as the Cauchy-Schwarz inequality, the GM-AM inequality, and some distance formulae, as we shall show.

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