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2006/2007 Measures of aberrancy.
Cameron Byerley, Russell A. Gordon
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Real Anal. Exchange 32(1): 233-266 (2006/2007).


In much the same way that curvature provides a measure of the nonlinearity of a curve, aberrancy provides a measure of the noncircularity of a curve. Curvature can be defined in several ways, but they all result in the same formula. In contrast, different approaches to aberrancy yield different formulas. We consider a number of different approaches to aberrancy and show that there are some interesting and unexpected connections between them. This is a largely unexplored concept that can be used to generate projects for students in real analysis and calculus.


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Cameron Byerley. Russell A. Gordon. "Measures of aberrancy.." Real Anal. Exchange 32 (1) 233 - 266, 2006/2007.


Published: 2006/2007
First available in Project Euclid: 17 July 2007

zbMATH: 1122.26002
MathSciNet: MR2329235

Primary: 26A06

Keywords: aberrancy , curvature

Rights: Copyright © 2006 Michigan State University Press

Vol.32 • No. 1 • 2006/2007
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