The formula for the spectral moments is expanded in a series consisting of autocorrelation terms. By using the autocorrelation extrapolation inherent in the maximum entropy method (MEM) for spectral analysis, it is found that good estimates of the moments can be found from a very low order autoregressive model. The motivation for this investigation came from results obtained during spectral ana...

This paper investigates the spectral aspects of Mandarin Chinese sibilant [s̪, ʂ, ɕ] in three vowel context /a, i, u/. Three male and three female speakers of Mandarin Chinese were recorded. To ensure good spectral estimates, frication noise was analyzed using multitaper analysis. For comparison, one female speaker of Polish was analyzed in the same way. A strict ordering was found among Mandari...

We consider a quantum particle in an infinite square potential well of Rn, n = 2, 3, subjected to a control which is a uniform (in space) electric field. Under the dipolar moment approximation, the wave function solves a PDE of Schrödinger type. We study the spectral controllability in finite time of the linearized system around the ground state. We characterize one necessary condition for spec...

Classical orthogonal polynomials and matrix polynomials being orthogonal with respect to some Hermitean positive deenite matrix of measures share several properties , e.g., three term recurrencies, Christooel{Darboux formulas; there are connections to the triangular decomposition of the (inverse) moment matrix and to eigenvalue{problems for the banded matrix of recurrence coeecients. Also, a co...

The mode of coordination of8 manganese(fI), cobaltm, nickel(H), copper(II), zinc(H), lead(II) and cadmium(I1) to sodium ascorbate (NaHAsc) was investigated using IR, UV-visible, AAS, elemental microanalyzer, conductivity, magnetic and 'M and I3C NMR spectroscopic studies, NaNAsc is bidentate and coordination was through the carbonyl group and the oxygen atom of carbon-2 enolic hydfoxyl grou...

The peculiar motions of galaxies can be used to infer the distribution of matter in the Universe. It has recently been shown that measurements of the peculiar velocity field indicates an anomalously high bulk flow of galaxies in our local volume. In this paper we find the implications of the high bulk flow for the power spectrum of density fluctuations. We find that analyzing only the dipole mo...

the mode of coordination of8 manganese(fi), cobaltm, nickel(h), copper(ii), zinc(h), lead(ii) and cadmium(i1) to sodium ascorbate (nahasc) was investigated using ir, uv-visible, aas, elemental microanalyzer, conductivity, magnetic and 'm and i3c nmr spectroscopic studies, nanasc is bidentate and coordination was through the carbonyl group and the oxygen atom of carbon-2 enolic hydfoxyl gro...

The Ni(II) and Zn(II) complexes with phenylpyridylformamidine (PhPyF) ligand, [Ni(PhPyF)Cl2] and [Zn(PhPyF)Cl2], have been prepared and investigated using different chemical techniques such as elemental analysis, molar conductance, FT-IR, UV-vis spectra and magnetic moment. The obtained chemical analysis data showed the formation of 1:1 (metal: ligand) ratio. The square planar and tetrahedral g...

 Lexicographic ordering by spectral moments ($S$-order) among all trees is discussed in this‎ ‎paper‎. ‎For two given positive integers $p$ and $q$ with $pleqslant q$‎, ‎we denote $mathscr{T}_n^{p‎, ‎q}={T‎: ‎T$ is a tree of order $n$ with a $(p‎, ‎q)$-bipartition}‎. Furthermore, ‎the last four trees‎, ‎in the $S$-order‎, ‎among $mathscr{T}_n^{p‎, ‎q},(4leqslant pleqslant q)$ are characterized‎.