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The Fastest Way Not to Run a Four-Minute Mile
Michael Bolt, Anthony Meyer and Nicholas Visser
The College Mathematics Journal
Vol. 45, No. 2 (March 2014), pp. 101-107
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.45.2.101
Page Count: 7
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Summary In this manuscript we present the mathematics that is needed to answer three counterintuitive problems related to the averaging of functions. The problems are manifestations of the question, “Is the average rate of change on a given interval determined by the average rate of change on subintervals of a fixed length?” We also ask questions in higher dimensions that may have interesting geometric significance.
Copyright the Mathematical Association of America 2014