in recent years many research works have been carried out on anti-corrosive nanocomposites coatings containing mineral reinforcements. the most important criteria in these attempts are polymerization method and the type of matrix and reinforcement of nanocomposites. in this regard, the physical and mechanical properties of the polymers in which a small amount of filler is used can be improved. ...

Bloch-type equations for description of coherent transport in mesoscopic systems are applied for a study of the continuous measurement process. Both the detector and the measured system are described quantum mechanically. It is shown that the Schrödinger evolution of the entire system cannot be accommodated with the measurement collapse. The latter leads to quantum jumps which can be experiment...

In this study we present a noninvasive and nonradioactive glucose in vitro measurement technique using the Mueller polarization analytical model. The glucose solution and aqueous humor phantoms are illuminated with a He-Ne (632.8 nm) laser. This in vitro study provides a base and reference data for in vivo eye glucose monitoring. The 16 Mueller polarization matrix element images give informatio...

the purpose of the present study is to introduce the sequence space[{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},]where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. the topological properties and inclusion relations of this space are studied. moreover, the prob...

let $rin textbf{c}^{mtimes m}$ and $sin textbf{c}^{ntimes n}$ be nontrivial involution matrices; i.e., $r=r^{-1}neq pm~i$ and $s=s^{-1}neq pm~i$. an $mtimes n$ complex matrix $a$ is said to be an $(r, s)$-symmetric ($(r, s)$-skew symmetric) matrix if $ras =a$ ($ ras =-a$). the $(r, s)$-symmetric and $(r, s)$-skew symmetric matrices have a number of special properties and widely used in engi...

In this paper, we develop a framework of generalized phase retrieval in which one aims to reconstruct a vector x in R or C through quadratic samples x∗A1x, . . . ,x ∗ANx. The generalized phase retrieval includes as special cases the standard phase retrieval as well as the phase retrieval by orthogonal projections. We first explore the connections among generalized phase retrieval, low-rank matr...

This paper considers the problem of selecting a set of k measurements from n available sensor observations. The selected measurements should minimize a certain error function assessing the error in estimating a certain m dimensional parameter vector. The exhaustive search inspecting each of the ( n k ) possible choices would require a very high computational complexity and as such is not practi...

In this paper, we consider the l0 norm minimization problem with linear equation and nonnegativity constraints. By introducing the concept of generalized Z-matrix for a rectangular matrix, we show that this l0 norm minimization with such a kind of measurement matrices and nonnegative observations can be exactly solved via the corresponding lp (0 < p ≤ 1) norm minimization. Moreover, the lower b...

We propose a solid-state experiment to study the process of continuous quantum measurement of a qubit state. The experiment would verify that an individual qubit stays coherent during the process of measurement ~in contrast to the gradual decoherence of the ensemble-averaged density matrix!, thus confirming the possibility of qubit purification by continuous measurement. The experiment can be r...

This paper considers sufficient conditions for sparse recovery in the sparse multiple measurement vector (MMV) problem for some recently proposed rank aware greedy algorithms. Specifically we consider the compressed sensing framework with random measurement matrices and show that the rank of the measurement matrix in the sparse MMV problem allows such algorithms to reduce the effect of the log ...