On the combined inverse-square effect of multiple point sources in multidimensional space

Autor:	Coletti, Keaton, Kalczynski, Pawel, Drezner, Zvi
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	The inverse-square law states that the effect a source has on its surroundings is inversely proportional to the square of the Euclidean distance from that source. Its applicability spans multiple fields including physics, engineering, and computer science. We study the combined effect of multiple point sources surrounding a closed region in multidimensional space. We determine that the maximum effect in D dimensions is on the region's boundary if $D \leq 4$, and the minimum is on the boundary if $D \geq 4$. Comment: 8 pages, 0 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.02912 Zobrazit plný text záznamu View this record from Arxiv