# Less Mundane Applications of the Most Mundane Functions

• Published in 2022
In the collections
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.

### 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}
}