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Results tagged with calculus-of-variations
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user 2384
Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
7
votes
Accepted
Characterization of certain curves of $\mathbb{R}^2$
The set of points which have more than one closest point to the curve is called the medial axis of that curve and it is the locus of the centers of maximal circles inside the region bounded by the cur …
- 84.6k
28
votes
Accepted
Largest possible volume of the convex hull of a curve of unit length
I believe this problem has been mentioned a few times in the literature, and has been solved for certain restrictions on the curve. For example if the curve has no four coplanar points then the maxima …
- 84.6k