… 3 Quadrature via fake nodes In this section at first we investigate the quadrature problem
via fake nodes for a generic map and then, we drive our attention towards two specific maps …

… the “fake" nodes. In Section 5, we then introduce the idea of the “fake” nodes approach and
its … • Quadrature weights of the “fake" Chebyshev-Lobatto nodes are those of the composite …

… quadrature rules at the same time. Therefore, we go beyond classical interpolatory quadrature
… that map the original quadrature nodes to more suitable fake nodes. More precisely, we …

… , based on the so-called mapped bases or fake nodes … and accurate quadrature formulas
on equispaced nodes, with … introduce a quadrature formula, from n + 1 equispaced nodes, of …

… In the last years, we developed a new simple technique that we called fake nodes approach…
the quadrature weights of the mapped CL nodes, they correspond to the quadrature weights …

… Our “fake” nodes approach is compared with the resampling at Chebyshev nodes. We note,
… We observe that the “fake” nodes quadrature outperforms the computation of the integral on …

… quadrature formulas based on equidistant points (see [6… to get quadrature formulas from
equispaced nodes have … 16] and are based on the idea that it is possible to obtain quadrature …

… The main advantage is that the resampling is not needed, ie we reduce to solving a classical
interpolation problem on these mapped or fake nodes and then we apply the same map to …

… in-phase and quadrature components of a … nodes, two hidden layers of 1024 and 512 nodes
respectively, and finally a softmax output layer of 2 nodes to classify an input as either Fake …

… malicious relay node can send source node the faked helper … The in-phase/quadrature
imbalance (IQI) is one of the most … node (S), one destination node (D), and multiple relay nodes (R…