Now, we are in the position to apply the basis transform.
In this contribution, we apply the basis expansion model to the problem of phase noise estimation from pilot symbols only, using the orthogonal basis functions from the discrete cosine transform (DCT).
In our numerical experiments, to convert a problem into an equivalent problem of determining whether there is an integer point in a full-dimensional polytope given by (P={xin R^{n} mid Axleq b}), we apply the basis-reduction algorithm of [24] in the same way as that in [11] and in the appendix with (N_{1}=10text000) and (N_{2}=100text000).
A differential evolution optimization scheme is used to choose shape parameter and node distribution when applying the radial basis function meshless numerical method.
One of the domain-type mashless methods is obtained by simply applying the radial basis functions (RBFs) as a direct collocation, which has shown to be effective in solving complicated physical problems with irregular domains.
One of the domain-type meshless methods is obtained by simply applying the radial basis functions (RBFs) as a direct collocation, which has shown to be effective in solving complicated physical problems with irregular domains.
It is routine for judges applying the rational-basis test to require litigants to negate "every conceivable basis" that might support the government's actions--that requirement comes from a leading rational-basis decision by the highest court in the nation.
Consistent engagement is possible -- we commonly see the hallmarks of engagement in cases involving heightened scrutiny, and we occasionally see it in some cases in which the Court has purported to be applying the rational-basis test--and it is necessary to effective constitutional enforcement.
This learning method is proved to be effective by applying the wavelet radial basis function neural network in the classification of surface discharge fault data set.
In practice many mature candidates will be applying on the basis of a university degree, either achieved or pending, rather than A level achievement, and therefore this finding is readily understood in this context.
