Fourier expansion


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Fourier expansion

[‚fu̇r·ē‚ā ik′span·chən]
(mathematics)
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References [9], [10] and [11] are particularly important, because they show that the implementation of a feedforward neural network do learn a Fourier expansion.
2003), a procedure for estimating the prediction error under a Gaussian p-order model was developed, based on a Fourier expansion of X
l]) of the function h and G, respectively (we remind that for h its Fourier expansion is valid on the [R.
The following result, part of which is proved in step (iii) of the above theorem, is the analogous result for the classical Fourier expansion theorem in [L.
Therefore, the classical Fourier expansion has been recovered.
However, these spur levels are theoretical maximums which in reality are not quite as severe as the Fourier expansion would predict since: (a) Stray capacitances tend to round off the output waveform.
k] = 1, the linear part of the Fourier expansion of Monarchy takes value -1 + [o.
Suppose that f has a Fourier expansion in terms of [q.
In the present paper Sr-Sq regular methods are used for increasing the order of approximation of Fourier expansions and Zygmund means of Fourier expansions in certain Banach spaces.
4](x) = [absolute value of sin(x/2)] with the Fourier expansion
The dipole moment p in (11) can be readily determined using the Fourier expansions [6]
A section is devoted to the Sturm- Liouville Theory and Fourier expansions.