Sometimes I wonder why the optimization conditions you can find mathematically, show how a system behaves in nature.(adsbygoogle = window.adsbygoogle || []).push({});

As an example you can calculate mathematically what curve a hanging rope will form such that its potential energy is minimized. But how do you know that there does not exist geometric curves, which do not have the nice properties of differentiability etc. but which actually provides a small potential energy?

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# Homework Help: Optimization in physics

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