01149nam a22002057a 4500 20240409080110.0 240409b |||||||| |||| 00| 0 eng d 0025-570X Gaebler, David J. The Discrete Brachistochrone (Journal Article) Philadelphia, PA :Taylor & Francis Group , September 2023 376-390p. Mathematics Magazine Volume 96: Number 4, October 2023 ***______{For Hard Copy, Please visit Library.}________*** Abstract: A discrete brachistochrone is the fastest piecewise linear ramp between fixed endpoints with a given number of segments. This article introduces a new conceptual framework for discrete brachistochrones, proves their two fundamental symmetry properties, and examines the manner in which they converge to the cycloid (the well-known continuous brachistochrone) as the number of sides tends to infinity. discrete brachistochrone |symmetry properties Panaggio, Mark J. | Pennings, Timothy J. https://doi.org/10.1080/0025570X.2023.2231836 PER 0 0 0 0 RIEBPL RIEBPL 2024-04-09 0 2024-04-09 08:01:22 2024-04-09 PER 45619 45618