1. the weighted sum of all Dyck paths of order n, weighted by area and bounce score; 2. the Hilbert series of the module of diagonal harmonic alternants of order n; 3. the n’th Garsia-Haiman q, t-Catalan number, which is a certain sum of complicated rational functions constructed from partitions; 4. the coefficient of the sign character in∇(en), where∇ is the Bergeron-Garsia nabla operator [1, ...

The linearization coefficients for a set of orthogonal polynomials are given explicitly as a weighted sum of combinatorial objects. Positivity theorems of Askey and Szwarc are corollaries of these expansions.

In this paper, we propose a distance measure to evaluate visual similarity between two images. The algorithm searches for adaptive curvelet parameters that better represent a reference image. Next, the distance between the reference image and other images is computed as a weighted sum of distances between histograms of adaptive curvelet coefficients. The algorithm is tested on a data set of exe...

l(f)=(-l)“(Pof’“‘)‘“‘+(-l)“-‘(p,f’”-”)’”~”+ ... +p,f=A.rf (0.1) on a finite or infinite interval (a, b) with real, locally summable coefficients l/PO,Pl, ..-3 Pnv r under the assumptions that p0 >O and that the weight function r changes its sign on (a, b). If r is positive, problem (0.1) can be studied in the context of Hermitian and self-adjoint operators in the Hilbert space L*(r) with the in...

Substantial racial disparities continue to persist in the prevalence of preterm births and lowbirth-weight births. Health policy aimed at reducing these disparities could be better targeted if the differences in birth outcomes are better understood. This study decomposes these racial disparities in birth outcomes to determine the extent to which the disparities are driven by differences in meas...

A calculation of the linearization coefficients of the (generalized) Laguerre polynomials L")(x) is proposed by means of analytic and combinatorial methods. This paper extends to the case of an arbitrary a a combinatoric and analytic result due to Askey, Ismail, and Koornwinder and Even and Gillis. Theorem (/-extension) AMS(MOS) subject classifications. 33A65, 05A 15 1. Introduction. Let (p,,(x...

OBJECTIVES We aimed to determine the accuracy of sonographic formulas for estimating birth weight in twin pregnancies. METHODS We conducted a retrospective cohort study of consecutive twin pregnancies undergoing sonography at within 1 week of delivery. Pregnancies were included if biometric measurements and birth weight were available and excluded if anomalies were present. Estimated fetal we...

BACKGROUND Low birth weight is related to increased risk of coronary heart disease in adults and recently has been associated with vascular endothelial dysfunction in children. We investigated whether the relation between birth weight and endothelial function was still present in early adult life and whether there was an interaction with emerging risk factors. METHODS AND RESULTS In 315 adult...

A method for preparing highly purified glutaminase (EC 3.5.1.2, L-glutamine amidohydrolase) from pig renal cortex is described. The main steps consist of sodium sulfate fractionation followed by alternative solubilization by dialysis against Tris-HCI buffer and precipitation with phosphateborate. The linal enzyme preparation contains no impurities which could be detected by sucrose gradient cen...

length-weight relationships were estimated for three gobiid species of iran. significant length-weight relationships with high correlation coefficient were found for all species from eight localities. the value of the parameter b varied between 2.196-2.498 for boleophthalmus dussumieri (valenciennes, 1837); 2.554 to 3.460 for periophthalmus waltoni (koumans, 1955) and 2.316 to 2.920 for scartel...