Real Analysis Exchange

Measures of aberrancy.

Cameron Byerley and Russell A. Gordon

Full-text: Open access

Abstract

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.

Article information

Source
Real Anal. Exchange, Volume 32, Number 1 (2006), 233-266.

Dates
First available in Project Euclid: 17 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.rae/1184700050

Mathematical Reviews number (MathSciNet)
MR2329235

Zentralblatt MATH identifier
1122.26002

Subjects
Primary: 26A06: One-variable calculus

Keywords
aberrancy curvature

Citation

Byerley, Cameron; Gordon, Russell A. Measures of aberrancy. Real Anal. Exchange 32 (2006), no. 1, 233--266. https://projecteuclid.org/euclid.rae/1184700050


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