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Results tagged with calculus-of-variations
Search options questions only
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user 6094
Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
8
votes
1
answer
799
views
Maximal tetrahedra inscribed in ellipsoid
Pietro Majer quoted the theorem of Michel Chasles in his MO question,
"Convex curves with many inscribed triangles maximizing perimeter,"
which states that the triangles of maximum perimeter inscribed …
- 149k
21
votes
2
answers
5k
views
Surface equivalent of catenary curve
A catenary curve
is the shape taken by an idealized hanging chain or rope under the influence
of gravity. It has the equation $y= a \cosh (x/a)$.
My question is:
What is the shape taken by an ide …
- 149k