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Jul 20, 2022 at 9:14 vote accept dennis
Jul 19, 2022 at 10:52 comment added dennis Thank you for your clever answer, but I edited the question to require that $f$ be smooth. I think the function you described is not smooth if more than one path minimises the distance.
Jul 15, 2022 at 21:58 vote accept dennis
Jul 15, 2022 at 23:49
Jul 14, 2022 at 23:04 history answered ThiKu CC BY-SA 4.0