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Results tagged with calculus-of-variations
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user 83671
Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
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What variational problem does the parabolic suspension bridge solve?
(Posted to MSE here, no answers)
The catenary curve $y(x)$ minimizes the gravitational potential energy
$$\int \rho g y\,ds=\int \rho g y \sqrt{1+y'^2}dx,$$
subject to a fixed length, $L=\int \sqrt{1+ …
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