Consider the Cauchy principal value integral I(kf;X)=i k{x)F^Ldx, -1<A<1. 7-1 x — A If we approximate f(x) by Yli=oajP¡(x'i w) where {p } is a sequence of orthonormal polynomials with respect to an admissible weight function w and û, = (/. P.), then an approximation to I(kf; X) is given by X!/=o ajl(kp¡ ; ^)If, in turn, we approximate a¡ by ajm = £TM , wimf(x¡m)Pj(xim), then we get a double seq...

In this paper, we study a general multiple-level quantized innovation Kalman filter (MLQ-KF) for estimation of linear dynamic stochastic systems. First, given a multi-level quantization of innovation, we derive the corresponding MMSE filter in terms of the given quantization levels under the assumption that the innovation is approximately Gaussian. By optimizing the filter with respect to the q...

in this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. next, we investigate some properties of such rings. we prove that mn(r) is n-f-clean for any n-f-clean ring r. we also, get a condition under which the denitions of n-cleanness and n-f-cleanness are equivalent.

a topoframe, denoted by $l_{ tau}$,  is a pair $(l, tau)$ consisting of a frame $l$ and a subframe $ tau $ all of whose elements are complementary elements in$l$. in this paper, we define and study the notions of a$tau $-real-continuous function on a frame $l$ and the set of realcontinuous functions $mathcal{r}l_tau $ as an $f$-ring.we show that $mathcal{r}l_{ tau}$is actually a generalization ...

for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...

BACKGROUND No study comparing short message service (SMS) texts and telephone counseling for patients undergoing total knee replacement (TKR) has been reported. PURPOSE The purpose of the study was to provide postdischarge telephone counseling and SMS texts to TKR patients and to analyze the effects of these services on their knee function (KF), activities of daily living (ADL), and life sati...

A Kalman filter (KF) enhanced by the Gaussian process regression (GPR) technique is suggested to bridge GPS-outages in navigation solutions where inertial navigation systems (INS) and GPS are integrated. A KF utilises linearised dynamic models. If a low-cost MEMS-based INS with complex stochastic nonlinearity is considered, performance degrades significantly during short periods of GPSoutages o...

Nowadays, GPS (global positioning system) receivers are aided by INS (inertial navigation systems) to achieve more precision and stability in land-vehicular navigation. KF (Kalman filter) is a conventional method which is used for the navigation system to estimate the navigational parameters, when INS measurements are fused with GPS data. However, new generation of INS, which relies on MEMS (mi...

In this paper, we propose an approach for distributed estimation algorithm using Bayesian-based forward backward (FB) Kalman filter (KF) used on a stochastic singular linear system. The approach incorporates generalized versions of KF presented for cases with complete or incomplete a-priori information with bounds, followed by estimation fusion for these cases. The proposed approach is then val...

background: clinical reasoning process leads clinician to get purposeful steps from signs and symptoms toward diagnosis and treatment. this research intends to investigate the effect of teaching clinical reasoning on problem-solving skills of medical students.   methods: this research is a semi-experimental study. nineteen medical student of the pediatric ward as case group participated in a tw...