Sökning: "Legendre transform"
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1. The Hanging Rope: A Convex Optimization Problem in the Calculus of Variations
Master-uppsats, Lunds universitet/Matematik LTHSammanfattning : We study the problem first introduced by Verma and Keller in 1984 of how to taper a heavy rope such that its elongation is minimized. The problem is stated as an optimization problem of a functional J[w]. Specifically we provide a proof of optimality for the solution using traditional convex optimization techniques. LÄS MER
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