Timeline for answer to Why should we expect the brachistochrone problem to be solvable? by controlgroup
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| when toggle format | what | by | license | comment | |
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| 7 hours ago | comment | added | Noah Schweber | Put another way, the role of (gravitational) potential for me is exactly to produce some intuition that boundedness from below should imply existence of a minimizer. | |
| 8 hours ago | comment | added | Noah Schweber | " there is obviously some path in the space of all possible paths which either takes less time than every other possible path or takes exactly [optimal bound]" This is exactly the piece I don't understand in general, and the claim "all you have to do to prove that there exists some set of optimal minimizing solutions is to bound the variable from below" is false in general since the domain of the functional isn't compact. | |
| 10 hours ago | history | answered | controlgroup | CC BY-SA 4.0 |