The quadratic functional is the second variation of and is denoted by,
2.
Where is a linear functional ( the first variation ), is a quadratic functional, and as.
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Here you have a quadratic functional on an affine hyperspace, which is unbounded both above and below.
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As a result, the Hamiltonian is a quadratic functional of the surface potential " ? ".
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Where the Poisson problem corresponds to minimization of a quadratic functional over a linear subspace of functions, the free boundary problem corresponds to minimization over a convex set.
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If db / dt is not constant then we are into Bo's territory of non-elementary functions that satisfy a quadratic functional equation . talk ) 09 : 13, 20 November 2011 ( UTC)
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