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Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.

23 votes
2 answers
2k views

How can you compute the maximum volume of an envelope(used to enclose a letter)?

It's obvious that the volume of a envelope is 0 when flat and non-0 when you open it up. However, if you were to fill it with liquid, there must be some shape where it has a maximum volume. Is there a …
Victor Stone's user avatar