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The Discrete Brachistochrone (Journal Article)

By: Contributor(s): Material type: TextTextSeries: Mathematics Magazine ; Volume 96: Number 4, October 2023Publication details: Philadelphia, PA :Taylor & Francis Group , September 2023Description: 376-390pISSN:
  • 0025-570X
Subject(s): Online resources:
Contents:
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Summary: 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.
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***______{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.

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