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Thread: Minimal functions

  1. #1
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    Minimal functions

    There are many examples of minimal functions/surfaces throught internet (Minimal Surfaces -- from Wolfram MathWorld). And i even found smth like parametrization of ALL minimal surfaces (Minimal Surface -- from Wolfram MathWorld). But i cannot get properties of such space of minimal functions. As, let say, subspace of integrable functions in R^2. I'm interest in next questions. Will be this space infinite-dimensional (it's trivial, yes - there are many pairs of analytic and meromorphic functions).
    Will it be connected in topological space?
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  2. #2
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    To find the maximum value on an interval, you need to take the derivative and find all relative maximums/minimums and also check the endpoints.
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