# Less Mundane Applications of the Most Mundane Functions

- Published in 2022
- Added on

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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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### BibTeX entry

@article{LessMundaneApplicationsoftheMostMundaneFunctions, title = {Less Mundane Applications of the Most Mundane Functions}, abstract = {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.}, url = {http://arxiv.org/abs/2201.08798v2 http://arxiv.org/pdf/2201.08798v2}, year = 2022, author = {Pisheng Ding}, comment = {}, urldate = {2022-02-16}, archivePrefix = {arXiv}, eprint = {2201.08798}, primaryClass = {math.GM}, collections = {attention-grabbing-titles,easily-explained} }