Most of the known cases of strong gravitational lensing involve multiple imaging of an active galactic nucleus. The properties of lensed active galactic nuclei make them promising systems for astrophysical applications of gravitational lensing. So we present a simple model for strong lensing in the gravitational lensed systems to calculate the age of four lensed galaxies, in the present work we take the freedman models with (k curvature index =0) Euclidian case, and the result show a good agreement with the other models.

The study of economic growth indicators is of fundamental importance in estimating the effectiveness of economic development plans, as well as the great role it plays in determining appropriate economic policies in order to optimally use the factors that lead to the dynamics of growth in Iraq, especially during a certain period of time. The gross domestic product (GDP) at current prices), which is considered a part of the national accounts, which is considered as an integrated dynamic of statistics that produces in front of policy makers the possibility of determining whether the economy is witnessing a state of expansion or evaluating economic activity and its efficiency in order to reach the size of the overall economy. The research aims

This study identified intellectual and applied research in key variables (Strategic Control and Strategic Pitfalls) through internal dimensions then founded the (Federal Board of Supreme Audit) is the good area for analyzing the relationship and effect between variables by (125) questionnaire selected from (148) was distributed to the top and middle management as a seniors in controlling action. Appropriate methods, statistical tools, and programs were used to enhance the basic outputs, represented as a set of Conclusions and recommendations from the real control work with a specificity of potential Pitfalls in the effectiveness impact by Strategic Control in other dimensions which Studied.

In this study, measuring effectiveness Alauriz in some seeds powder and found that the seeds of-sophistication sex had the highest effective enzymatic reach 353 units / gProtein and Alkabbatah study enzyme extract under different storage conditions and Altaj showed that the enzyme loses Thbatih and whether Mrkbhetwan adding Alklasrin concentration of 10% for the systematic solution

To determine the relationship between infertility and Helicobacter pylori infection, thirty-five infertile patients of ages (20-49) years have been investigated and compared with 10 apparently firtility individuals. All the studied groups were carried out to measure (ASA), (TNF-á), (IL-6), (anti-H.pylori IgA) and (anti-H.pyloriIgG) by Enzyme linked immunosorbent assay (ELISA) technique. The statistical analysis also demonstrated that there were a highly significant differences (P<0.01), when compared between studied group. Also, the statistical analysis demonstrated that there were a highly significant differences (P<0.01) when compare between infertility and fertility in Conc. of sperm. The percentage distribution of ASA in serum and seme

The current research aims to know the measurement of the fifth- secondary stage female  students' affliction with the social phobia . The research is confined to General directorate of Education in Baghdad / Al-Karkh/2 / for the academic year 2015-2016 and fifth-secondary stage female students. It has been used descriptive method and  exposed theoretical sides and previous studies concerning with the  social phobia.The procedures of the research include the application of the  social phobia scale on random sample of  fifth- secondary stage female  students ( both  branches scientific and literary). The current study has concluded  that the  fifth- secondary stage female  students have&nbs

This research aims to solve the nonlinear model formulated in a system of differential equations with an initial value problem (IVP) represented in COVID-19 mathematical epidemiology model as an application using new approach: Approximate Shrunken are proposed to solve such model under investigation, which combines classic numerical method and numerical simulation techniques in an effective statistical form which is shrunken estimation formula. Two numerical simulation methods are used firstly to solve this model: Mean Monte Carlo Runge-Kutta and Mean Latin Hypercube Runge-Kutta Methods. Then two approximate simulation methods are proposed to solve the current study. The results of the proposed approximate shrunken methods and the numerical

Background: Drug resistant epilepsy is defined as failure of adequate trials of two tolerated, appropriately chosen and used antiepileptic drug schedules to achieve sustained seizure freedom. Up to 30% of patients referred to clinics with a diagnosis of pharmaco-resistant epilepsy may have been misdiagnosed, and many can be helped by optimizing their treatment.Pseudoresistance, in which seizures persist because the underlying disorder has not been adequately or appropriately treated, must be ruled out or corrected before drug treatment can be considered to have failed.

Objectives: The objectives of this study were to determine the causes of drug failure in patients with epilepsy and to differenti