This paper including a gravitational lens time delays study for a general family of lensing potentials, the popular singular isothermal elliptical potential (SIEP), and singular isothermal elliptical density distribution (SIED) but allows general angular structure. At first section there is an introduction for the selected observations from the gravitationally lensed systems. Then section two shows that the time delays for singular isothermal elliptical potential (SIEP) and singular isothermal elliptical density distributions (SIED) have a remarkably simple and elegant form, and that the result for Hubble constant estimations actually holds for a general family of potentials by combining the analytic results with data for the time dela

wind load coefficient

Background:- Cholesterol is high in ascetic fluid due
to malignancy and other causes of exudates.
Objective:-To use cholesterol as a marker to
differentiate between exudative and transudative
ascetic fluid and to compare that with other routine
parameters.
Methods:-Twenty eight patients were included in this
study 17 females with mean age of 41.9 years, 11
males with mean age of 48.2 years. The patients were
divided in group I suspected transudate, and group II
suspected exudate according to history and clinical
examination.
Ascetic fluid samples were sent for total protein,
albumin, and cholesterol measurement blood samples
were sent for serum protein and albumin measurement.
Results:-In this

  The content of Furocoumarin derivatives (Psoralens) of Ruta Chalepensis L. (Whole plant) was studied by simple extraction with petroleum ether (b.p. 60-80C^o). The results indicated that the plant contains a total of about (0.015%).

       Investigation of these compounds by thin layer chromatography (TLC) revealed the presence of at least four compounds of which methoxsalen (8-methoxypsoralen) was isolated.     It was identified and authenticated with a standard by spectral method, IR, NMR, Mass spectra and HPLC.This plant could be considered as a good source for supplying this compound, which is widely used in dermatological preparations.

In this paper, the error distribution function is estimated for the single index model by the empirical distribution function and the kernel distribution function. Refined minimum average variance estimation (RMAVE) method is used for estimating single index model. We use simulation experiments to compare the two estimation methods for error distribution function with different sample sizes, the results show that the kernel distribution function is better than the empirical distribution function.

The aim of this study is to utilize the behavior of a mathematical model consisting of three-species with Lotka Volterra functional response with incorporating of fear and hunting cooperation factors with both juvenile and adult predators. The existence of equilibrium points of the system was discussed the conditions with variables. The behavior of model referred by local stability in nearness of any an equilibrium point and the conditions for the method of approximating the solution has been studied locally. We define a suitable Lyapunov function that covers every element of the nonlinear system and illustrate that it works. The effect of the death factor was observed in some periods, leading to non-stability. To confirm the theore

Coronavirus disease (COVID-19) is an acute disease that affects the respiratory system which initially appeared in Wuhan, China. In Feb 2019 the sickness began to spread swiftly throughout the entire planet, causing significant health, social, and economic problems. Time series is an important statistical method used to study and analyze a particular phenomenon, identify its pattern and factors, and use it to predict future values. The main focus of the research is to shed light on the study of SARIMA, NARNN, and hybrid models, expecting that the series comprises both linear and non-linear compounds, and that the ARIMA model can deal with the linear component and the NARNN model can deal with the non-linear component. The models

The absorption spectrum for three types of metal ions in different concentrations has been studying experimentally and theoretically. The examination model is by Gaius model in order to find the best fitting curve and the equation controlled with this behavior. The three metal ions are (Copper chloride Cu⁺², Iron chloride Fe^+3, and Cobalt chloride Co⁺²) with different concentrations (10^-4, 10^-5, 10^-6, 10^-7) gm/m³. The spectroscopic study included UV-visible and fluorescence spectrum for all different concentrations sample. The results refer to several peaks that appear from the absorption spectrum in the high concentration of all metal ions solution.

This study was aimed to examined effect of Januvia treatment on methionine synthases Meth and cystathionine B- synthase (CBS) in Iraqi patients type2 without treated and another group who taken Januvia treated in addition to diabetic patients with complication without treated with Januvia Also, to found the relationship between these parameters with BMI, FBS, HbA1C and Insulin levels. Firstly, the blood sampling date for this research between December and February 2019 - 2020. Blood sampling was withdrawn from 8:00 to 10:00 in the case of fasting of all substances . five milliliters of venous blood were collected by means of an antecubital venipuncture divided into two parts, one of which (2ml) was put in a tube containing anticoagulant fac