Optimized basis expansion as an extremely accurate technique for solving time-independent Schr\"odinger equation

We use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrodinger equation with high accuracy. We apply this method to the quartic anharmonic oscillator and the harmonic oscillator perturbed by a trigonometric anharmonic term as not exactly solvable cases and obtain the nearly exact solutions.Comment: 11 pages, 4 figure

Role of resveratrol on the cytotoxic effects and DNA damages of iododeoxyuridine and megavoltage radiation in spheroid culture of U87MG glioblastoma cell line

The purpose of this study was to evaluate the effect of resveratrol on cytogenetic damages of iododeoxyuridine (IUdR) and x-ray megavoltage radiation (6 MV) in spheroid model of U87MG glioblastoma cancer cell line using clonogenic and alkaline comet assay. Cells were cultured as spheroids (350 μm) that were treated with 20 μM resveratrol, 1 μM IUdR and 2 Gy of 6 MV x-ray. After treatment, viability of the cells, colony forming ability and the induced DNA damages were examined using trypan blue dye exclusion, colonogenic and alkaline comet assay, respectively. Our results showed that resveratrol could significantly reduce the colony number and induce the DNA damages of the cells treated with IUdR in combination with 6 MV x-ray radiation. That results indicated that resveratrol as an inhibitor of hypoxia inducible factor 1 alpha (HIF-1α) protein in combination with IUdR as a radiosensitizer enhanced the radiosensitization of glioblastoma spheroid cells

A New Goodness of Fit Measure Based on Income Inequality Curves

This paper uses inequality-measurement techniques to assess goodness of fit in income distribution models. It exposes the shortcomings of the use of conventional goodness of fit criteria in face of the big income data and proposes a new set of metrics, based on income inequality curves. In this note, we mentioned that the distance between theoretical and empirical inequality curves can be considered as a goodness of fit criterion. We demonstrate certain advantages of this measure over the other general goodness of fit criteria. Unlike other goodness of fit measures, this criterion is bounded. It is 0 in minimum difference and 1 in maximum distance. Furthermore, there is a consistency between this new goodness of fit measure and the other conventional criteria. A simulation study based on fitted distribution to real income data is performed in order to investigate some statistical properties of the new goodness of fit measure. An empirical study and comparisons are also provided