The Discrete Brachistochrone (Journal Article)
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 .
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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.
0025-570X
discrete brachistochrone |symmetry properties
The Discrete Brachistochrone (Journal Article) - Philadelphia, PA :Taylor & Francis Group , September 2023 - 376-390p. - Mathematics Magazine Volume 96: Number 4, October 2023 .
***______________***
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.
0025-570X
discrete brachistochrone |symmetry properties