Less Mundane Applications of the Most Mundane Functions

• Published in 2022
• Added on 2022-02-16

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.

Links

• http://arxiv.org/abs/2201.08798v2
• http://arxiv.org/pdf/2201.08798v2

Other information

BibTeX entry

@article{LessMundaneApplicationsoftheMostMundaneFunctions,
	key = {LessMundaneApplicationsoftheMostMundaneFunctions},
	type = {article},
	title = {Less Mundane Applications of the Most Mundane Functions},
	author = {Pisheng Ding},
	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.},
	comment = {},
	date_added = {2022-02-16},
	date_published = {2022-12-07},
	urls = {http://arxiv.org/abs/2201.08798v2,http://arxiv.org/pdf/2201.08798v2},
	collections = {attention-grabbing-titles,easily-explained},
	url = {http://arxiv.org/abs/2201.08798v2 http://arxiv.org/pdf/2201.08798v2},
	year = 2022,
	urldate = {2022-02-16},
	archivePrefix = {arXiv},
	eprint = {2201.08798},
	primaryClass = {math.GM}
}