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This is a conceptual question. Lets say I have a scalar function, [tex]f(x,y,z)[/tex] defined throughout [tex]\mathbb{R}^3[/tex]. Further I have some bounded surface, S embedded in [tex]\mathbb{R}^3[/tex].

How would I find the function f, definedonthe surface S?

Would it be the inner product of f and S, [tex]<f|S>[/tex] or a functional composition like [tex]f \circ S[/tex]?

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# Scalar Function on a Surface

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