Necessary and sufficient conditions for the operator equation I AXAX n*, to have a real positive definite solution X are given. Based on these conditions, some properties of the operator A as well as relation between the solutions X andAare given.

Cuneiform texts are the most important sources for our knowledge of ancient history and in all political, economic, social and religious fields, as the ancients left us thousands of these texts, which were found through excavations, and hundreds of these texts were stolen and smuggled out of Iraq, and some of these texts were returned after the Jordanian government confiscated them and returned them to the Iraqi Museum. Most of these cuneiform texts were economic texts. In this research, a group of these confiscated cuneiform texts was studied (their number was six texts bearing the following museum numbers, respectively (160609 - 160103 - 160290 - 160102 - 206650 - 206637) dating back to the time of the king of the Larsa dynasty, Rim-Sin (

In this paper the modified trapezoidal rule is presented for solving Volterra linear Integral Equations (V.I.E) of the second kind and we noticed that this procedure is effective in solving the equations. Two examples are given with their comparison tables to answer the validity of the procedure.

The study of the subject shows us the couflict between Somalian- Ethiopian. About Al-Oaghaden (1960-1978). This province is purely Somalian area in their language ،manners ،
traditions ،and their most population from Migrant bedouin.
In the last nineteenth century ،Ethiopia had entered to exit from plateau ،and become nearly from Red Sea and Indian Ocean.
The study shows us ،the conflict between colonization countries ،about African horn ،then fore Ethiopia entered as partner to divide the zone area ، and that division hadn’t Cares about the unity of people ،or the similar of language or religoun ،for this reason which had interference happened between broders and division about the same tribe from more Century ،

The research aims to characterize the strategic plan of the Educational Professional Development Center, to reveal the most important training needs for teachers from this center, to reveal the extent to which this center meets those needs, and to identify the differences between teacher responses about the degree of importance, availability of those needs according to variables of sex, specialization, and years of experience. This descriptive study adopted a questionnaire applied to (256) teachers in the K.S.A. The results of the study showed that all training needs ranged in the degree of importance from large to very large and that the most important were the skills associated with communicating with members of the learning community.

In the present work, the pollutants of the municipal wastewater are reduced using Chlorella vulgaris microalgae. The pollutants that were treated are: Total organic carbon (TOC), Chemical oxygen demand (COD), Nitrate (NO₃), and Phosphate (PO₄). Firstly, the treatment was achieved at atmospheric conditions (Temperature = 25^oC), pH 7 with time (1 – 48 h). To study the effect of other microorganisms on the reduction of pollutants, sterilized wastewater and unsterilized wastewater were used for two types of packing (cylindrical plastic and cubic polystyrene) as well as algae's broth (without packing), where the microalgae are grown on the packing then transported to the wastewater for treatment. Th

Building Information Modeling (BIM) is extensively used in the construction industry due to its benefits throughout the Project Life Cycle (PLC). BIM can simulate buildings throughout PLC, detect and resolve problems, and improve building visualization that contributes to the representation of actual project details in the construction stage. BIM contributes to project management promotion by detecting problems that lead to conflicts, cost overruns, and time delays. This work aims to implement an effective BIM for the Iraqi construction projects’ life cycle. The methodology used is a literature review to collect the most important factors contributing to the success of BIM implementation, interview the team of the Cent