The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

The cytotoxic effect of catechol was examined in two human cancer cell lines, Epidermoid larynx carcinoma (Hep- 2), Cerebral glioblastoma multiforme (AMGM-5) and Murine mammary adenocarcinomacell (AMN3) treated with half concentrations of catechol (1000, 500, 250, 125, 62.5 and 32.25 μM) for 72 hr. The get hold of results showed catechol have a toxic effect of the cell viability of three types of cell lines after 72h of exposure, the toxicity was dependent on catechol concentrations and/or autoxidation for quinines formation, there were a marked decreased of cell viability in a dose dependent manner in all cell line types. Inhibition concentration of catechol for 50% of cell viability (IC50) were calculated, they were at 581.5 μM, 478 μM

SAIs has a pivotal role in enhancing public sector performance through its quest to achieve the greatest possible efficiency and effectiveness in its, so  it has to adopt applied framework for abilities building, the research aims to shed light on the role of SAIs and the nature of their  work,  and  the definition for its abilities building, and to prepare a proposal for abilities building applied to work with the SAI in the Republic of Iraq (of the Federal Board of Supreme Audit ),the Researchers reached conclusions, namely: abilities building is the outcome of the interaction between the reality of all of the employees of the SAI and the institution itself and the environment and the specific requirements of the de

The phenomenon of poverty is one of the most important phenomena facing the world at large. Despite the tremendous technological progress witnessed by mankind and despite the unprecedented high levels of world economic production, poverty remains the greatest challenge facing the world. Statistics and studies have shown that poverty is caused by several problems: (health, social, economic, educational, etc.) These problems are obstacles to the ability to obtain employment opportunities, which leads in the beginning to the growth phenomenon of unemployment, and ultimately to the growth of poverty.

The results of a range of research in the field of psychology have confirmed that children from poor homes suffer from a high level of

The tax is a financial amount collected from the taxpayer for the account of the public treasury.. and is the cornerstone of the close bond between members of the community and the country in which they live , as income tax is imposed on the profits and revenues achieved by people and often the constitution of most contemporary countries stipulate that the legislator is obligated to determine the sources of revenues and profits subjected to tax. Because the tax has a serious impact on people’s money because it is exposed to that money through direct deduction . Therefore, we note that the applicable income Tax Law stipulated that in order income to be subject to tax , it must be derived from one or more of the income sources st

In this paper a comparison of the experimental of evacuated tube solar water heater systems with and without mirror flat reflector. The aim of using the reflector to improve thermal efficiency, and the data gathered which are (temperature, solar irradiation and time) for three days were compared. the results from compared data the temperature lower increase in evacuated tube solar water heater system without reflector than the temperature increase in evacuated tube solar water heater system with reflector .The results show (53, 39, 35) % for three days respectively that the evacuated tube solar water heater system with reflector has higher thermal efficiencies than the results (47, 28, 30) % for three days respectively thermal efficiencies