With each of a large class of positive measures µ on the real line it is possible to associate a sequence {p n (x)} of orthogonal polynomials with the property that ∞ −∞ p m (x)p n (x)dµ(x) = 0, m = n, 1, m = n. (1) Such a sequence satisfies a three term recurrence relation xp n (x) = a n P n+1 (x) + b n P n (x) + a n−1 P n−1 (x) (2) Conversely, for suitable starting values and coefficient sequ...

in this paper, non-polynomial spline method for solving coupled burgers’ equations are presented. we take a new spline function. the stability analysis using von-neumann technique shows the scheme is unconditionally stable. to test accuracy the error norms2l, ∞l are computed and give two examples to illustrate the sufficiency of the method for solving such nonlinear partial differential equatio...

Reducing mishaps from medical management is central to efforts to improve quality and lower costs in health care. Nearly 100 000 patients are estimated to die preventable deaths annually in hospitals in the United States, with many more incurring injuries at an annual cost of $9 billion. Underreporting of adverse events is estimated to range from 50%–96% annually. This annual toll exceeds the c...

let $mathcal m$ be a factor von neumann algebra. it is shown that every nonlinear $*$-lie higher derivation$d={phi_{n}}_{ninmathbb{n}}$ on $mathcal m$ is additive. in particular, if $mathcal m$ is infinite type $i$factor, a concrete characterization of $d$ is given.

Thirty-two undergraduate pilots from the University of Illinois School of Aviation performed simulated military reconnaissance missions with an unmanned aerial vehicle (UAV). Pilots were required to: a) navigate the UAV through a series of mission legs, b) search for possible targets of opportunity, and c) monitor system health. They performed the missions under three types of auditory auto-ale...

A recursive transfer function estimation algorithm is presented and analyzed. Applications can be found in either electric or acoustic echo cancellation. The proposed algorithm is robust against burst disturbances that are caused by detection misses of double-talk present at the output of the echo path. A frequency-domain technique is used and a robustness function is derived from a criterion t...

The present study investigates the creep behavior of water tank manufactured from Polypropylene (PP) and High-Density Polyethylene (HDPE) polymeric material at 40 °C using ANSYS simulation software. Creep fracture is one major industrial problems for a product used long period time. analysis software ways to predict life durability plastic with low cost may help in optimizing its design. PP HDP...