Less Mundane Applications of the Most Mundane Functions
General Mathematics
2023-08-29 v2
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.
Keywords
Cite
@article{arxiv.2201.08798,
title = {Less Mundane Applications of the Most Mundane Functions},
author = {Pisheng Ding},
journal= {arXiv preprint arXiv:2201.08798},
year = {2023}
}