Interesting Esoterica

Less Mundane Applications of the Most Mundane Functions

Article by Pisheng Ding
  • Published in 2022
  • Added on
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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key
LessMundaneApplicationsoftheMostMundaneFunctions
type
article
date_added
2022-02-16
date_published
2022-09-14

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 = {2022-09-14},
	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}
}