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35) and corresponds to the Euclidean vector concepts of distance between two points. 36) ⍀ where the operation ⊕ is multiplication (dot product) when p and q are scalar (vector) functions. 29) is obtained in the general form N ∑ a i 〈 Lf j , Lf i 〉 = 〈 Lf j , g 〉 j = 1, . . 7 Rayleigh-Ritz Method The least-squares method is a particular case of the Rayleigh-Ritz variational method . The Rayleigh-Ritz variational method enables solution of an arbitrary deterministic equation. 40) To be a variational formula, the functional must be stationary with respect to the exact solution.
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