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Dogs Don't Need Calculus

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Abstract:

Many optimization problems can be solved without resorting to calculus. This article develops a new variational method for optimization that relies on inequalities. The method is illustrated by four examples, the last of which provides a completely algebraic solution to the problem of minimizing the time it takes a dog to retrieve a thrown ball, demonstrating that dogs don't need calculus.

Document Type: Research Article

DOI: http://dx.doi.org/10.4169/074683410X475074

Publication date: January 1, 2010

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maa/cmj/2010/00000041/00000001/art00003
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