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An optimal set of parameters for defining the functions is learned from examples by minimizing an error functional.
defines a composite quadrature error functional which annihilates any.
The location of impact is first determined with an error functional indicator using the Complex Method.
The following result concerning the nonnegativity of the error functional T g can be stated.
The evaluation of an optimised relaxation parameter is introduced taking into account the minimisation of a square error functional.
Finally, we can state the following Jensen type inequality for the error functional T g ( f ; ∫ a b h ).
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Numerical integration and quadrature rules are classical topics in numerical analysis while quadrature error functionals are typical continuous linear functionals on function spaces.
It was quadrature error functionals that stimulated study of Smale [6] and Wang and Han [2].
The error functionals,, and for the midpoint rule, trapezoidal quadrature and Simpson's rule are, respectively, (46).
(ii) We also expect selection against translational errors to relate to the error's functional effect: translational errors for some amino acids may have no functional effects, while for other amino acids, translational errors render a protein non-functional.
Usually, an appropriate metric associated with the corresponding space is chosen to characterize the error in functional inequalities.
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