A new adaptive quadrature algorithm that places a greater emphasis on cost reduction while still maintaining an acceptable accuracy is demonstrated. The different needs of science and engineering applications are highlighted as the existing algorithms are shown to be inadequate. The performance of the new algorithm is compared with the well known adaptive Simpson, Gauss-Lobatto and GaussKronrod...

We consider five different classes of multivariate statistical problems identified by James (1964). Each of these problems is related to the eigenvalues of E−1H where H and E are proportional to high-dimensional Wishart matrices. Under the null hypothesis, both Wisharts are central with identity covariance. Under the alternative, the non-centrality or the covariance parameter of H has a single ...

This paper examines the function approximation properties of the "random neural-network model" or GNN. The output of the GNN can be computed from the firing probabilities of selected neurons. We consider a feedforward Bipolar GNN (BGNN) model which has both "positive and negative neurons" in the output layer, and prove that the BGNN is a universal function approximator. Specifically, for any f ...

dispersive liquid liquid microextraction (dllme) combined with gas chromatography–mass spectrometry (gc–ms) was used for the extraction and determination of 13 polycyclic aromatic hydrocarbons (pahs) in mineral water samples. in this procedure, the suitable combination of extraction solvent (500 µl chloroform) and disperser solvent (1000 µl acetone) were quickly injected into the water sample (...

Performances of multiresidue analysis one hundred pesticides and contaminants, using GC-Q-Orbitrap method in full scan mode were compared to those obtained with GC-triple-quadrupole multiple reaction monitoring mode. In terms sensitivity, 86% molecules exhibited lower limit detection values than GC-triple-quadrupole. For the method, more 85% contaminants showed good recovery [70–120%] wheat sam...

We consider the weak detection problem in a rank-one spiked Wigner data matrix where signal-to-noise ratio is small so that reliable impossible. propose hypothesis test on presence of signal by utilizing linear spectral statistics matrix. The data-driven and does not require prior knowledge about distribution or noise. When noise Gaussian, proposed optimal sense its error matches likelihood tes...

We study a class of separable sample covariance matrices the form Q˜1:=A˜1/2XB˜X∗A˜1/2. Here, A˜ and B˜ are positive definite whose spectrums consist bulk plus several spikes, that is, larger eigenvalues separated from bulks. Conceptually, we call Q˜1 spiked matrix model. On one hand, this model includes as special case with B˜=I. other it allows for more general correlations datasets. In parti...

Urine and plasma specimens fortified with 82 drugs and metabolites were prepared and analyzed by liquid chromatography quadrupole time-of-flight mass spectrometry (QTOF) instrumentation from three different vendors using the instrument manufacturers' methods and workflows for drug screening. No prior knowledge about the compounds included or their concentrations were provided. Samples were prep...

We study weak-coupling perturbation expansions for the ground-state energy of the Hamiltonian with the generalized spiked harmonic oscillator potential V (x) = Bx + A x + λ x , and also for the bottoms of the angular momentum subspaces labelled by l = 0, 1, . . . , in N -dimensions corresponding to the spiked harmonic oscillator potential V (x) = x + λ x , where α is a real positive parameter. ...