Abstract We give a direct tensor decomposition for any density matrix into Hermitian operators. Based upon the decomposition we study when the mixed states are separable and generalize the separability indicators to multi-partite states and show that a density operator is separable if and only if the separable indicator is non-negative. We then derive two bounds for the separable indicator in t...

We derive simplified formulas for analyzing the stability of stochastic parametrically forced linear systems. This extends the results in [2] where, assuming the stochastic excitation is small, the stability of such systems was computed using a weighted sum of the extended power spectral density over the eigenvalues of the unperturbed operator. In this paper, we show how to convert this to a su...

This paper gives an overview of identification of linear systems. It covers the classical approach of parametric methods using Maximum Likelihood and Predicion Error Methods, as well all classical non-parametric methods through spectral analysis. It also covers very recent techniques dealing with convex formulations by regularization of FIR and ARX models, as well as new alternatives to spectra...

This study purposed to investigate the relationship between physical activity level and bone mineral density (BMD) in the elderly of Amirkola in northern Iran. This cross-sectional study was part of a proposal to assess the situation of the elderly in Amirkola (AHAP) (Amirkola Health and Ageing Project) conducted on 1113 elderly individuals (616 males and 497 females) in Amirkola city. Physic...

We present a compact approach to simultaneous modeling of non-stochastic time-variant components in audio signals. We show that the harmonic energy can be properly described by a single polynomial, while short events are well captured by a continuous piecewise linear function. The proposed method is robust to fundamental frequency estimation errors and inharmonicities in the audio signal. The c...

We consider n observations from the GARCH-type model: S = σ2Z, where σ2 and Z are independent random variables. We develop a new wavelet linear estimator of the unknown density of σ2 under four different dependence structures: the strong mixing case, the β- mixing case, the pairwise positive quadrant case and the ρ-mixing case. Its asymptotic mean integrated squared error properties are ...

Linear Low Density Polyethylene-Natural Rubber (LLDPE-NR) composites in the ratio of 70:20 were made with different loadings of nanosilica and micro-scale Palm Oil Fuel Ash (POFA). Linear Low Density Polyethylene grafted with maleic anhydride (LLDPE-g-MAH) of 10 wt% was added as a compatibiliser. The composites were produced by using two-roll mill machine. The tensile properties of the composit...

one of the most remarkable basis of the gravity data inversion is the recognition of sharp boundaries between an ore body and its host rocks during the interpretation step. therefore, in this work, it is attempted to develop an inversion approach to determine a 3d density distribution that produces a given gravity anomaly. the subsurface model consists of a 3d rectangular prisms of known sizes ...

In this research, a theoretical study has been undertaken on the density and also on the relationship between refractive index and density for aqueous solutions. A simple linear equation is suggested to show this relationship. Also, a semi-empirical equation has been developed for estimating the constant of this linear equation. By using our suggested equations, the refractive indices of aq...

in the present work, we have examined the ability of some different equations of state in predicting the joule-thomson coefficient, ?j-t, of different fluids. for dense fluids, for which density is greater than the boyle density, ?b, two appropriate equations of state, namely the linear isotherm regularity, lir, and the dense system equation of state, dseos, have been examined. the results show...