The deconvolution of a single Gaussian kernel is extended to a sum of Gaussian kernels with positive coefficients (case 1) and to a Mexican hat (case 2). In case 1 the normalization requires the sum of the normalized Gaussian kernels to be always 1, i.e. c0 + c1 + c2 + · · · = 1. Each coefficient satisfies ck > 0. In case 2 (Mexican hat) the properties c0 + c1 = 1 with c0 > 1and c1 < 0 hold; c1...

It is proved that the complex double Fourier series of an integrable function f (x,y) with coefficients {c jk} satisfying certain conditions, will converge in L 1norm. The conditions used here are the combinations of Tauberian condition of Hardy– Karamata kind and its limiting case. This paper extends the result of Bray [1] to complex double Fourier series.

The logarithm of the octanol/water partition coefficient has been widely used as the sole physicochemical property to define various types of biological activity, such as aquatic toxicity. In the present study, we derive a quantitative structure-activity relationship (QSAR) equation for the prediction of acute aquatic toxicity (48-h median effective concentration) of quaternary alkylammonium su...

Let f = (f1, f2) be a regular sequence of affine curves in C. Under some reduction conditions achieved by composing with some polynomial automorphisms of C, we show that the intersection number of curves (fi) in C 2 equals to the coefficient of the leading term x in g2, where n = deg fi (i = 1, 2) and (g1, g2) is the unique solution of the equation yJ(f) = g1f1 + g2f2 with deg gi ≤ n−1. So the ...

OBJECTIVE: Streptozotocin (STZ) destroys the beta cells of pancreas by generation of reactive oxygen species and vitamin C has documented antioxidant properties. This study was designed to evaluate the preventive effect of supplementation of diet by vitamin C on induction of STZ-diabetes and its effect on carbohydrate and lipid metabolism of diabetic rats. MATERIALS AND METHODS: Fifty male Wis...