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Its Natue and Use |
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The notion of the functional derivative arose out the Calculus of Variations. In the Calculus of Variations there is a functional such as
which is to be maximized or minimized. It is found that this is achieved by the function f(x) which satisfies the Euler-Lagrange equation
When
then the condition for the optimal function f is expressed as
where 0 denotes the zero function from x=a to x=b.
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