The Wang-Ball polynomials operational matrices of the derivatives are used in this study to solve singular perturbed second-order differential equations (SPSODEs) with boundary conditions. Using the matrix of Wang-Ball polynomials, the main singular perturbation problem is converted into linear algebraic equation systems. The coefficients of the required approximate solution are obtained from the solution of this system. The residual correction approach was also used to improve an error, and the results were compared to other reported numerical methods. Several examples are used to illustrate both the reliability and usefulness of the Wang-Ball operational matrices. The Wang Ball approach has the ability to improve the outcomes by minimi

تولي المجتمعات المتقدمة اجتماعياً واقتصاديا وثقافيا وعلميا اهتماما بارزا للعنصر البشري واستثماره على أفضل صورة ممكنة لتحقيق التقدم والرفاهية لتلك المجتمعات وللأفراد على حد سواء , وتحتل تنمية الثروة العقلية واستثمارها محل الصدارة حيث يبذل اهتمام خاص للكشف عن المواهب والكفاءات المبدعة وتنميتها وتوجيهها ورعايتها علميا وتربويا ومهنيا وذلك لان العنصر البشري يعد جزءا لا يتجزأ من الثروة القومية للأمة حيث

تواجه المجتمعات مشكلات متعددة أجتماعية وأقتصادية وثقافية تنعكس على التعليم فتزيد من مشكلاته و خاصة  في عصر يتزايد فيه عدد السكان وبالمقابل يتزايد الطلب على التعليم ، لذلك يصبح التخطيط التربوي ضرورة ملحة للدول النامية أذ أن قطاع التربية والتعليم يعد من أهم قطاعات التنمية في تلك الدول ,ولكي تستطيع  التربية أن تسهم في قطاعات التنمية قي تلك الدول الشاملة يجب أن تتصف بالجودة في كل عناصرها ومكوناتها وان

      جاء التقويم  ليكون مكملا للعمليات التعليمية يساعد على الوقوف على نتائجها وسبل النهوض بها والوقوف على المعوقات التي تقف امام مسيرتها وقد عنيت عمليات التقويم باهتمام كبير من قبل القائمين على العمليات التعليمية اذ عقدت العديد من المؤتمرات والندوات واجريت العديد من الدراسات عالميا ومحليا من اجل الوقوف على هذه العملية المهمة الداعمة للتعليم والنهوض بمستويات المتعلمين ، ومن بي

The university's lecturers are  effective instrument  in building the march of science and knowledge, they are establish the right path approach in scientific research which contributes to the formation and develop of the society, the verifying  and acceptance of  objectives, are not the only matter that dominated concerns of lecturers, there is something wait him, the remaining of his life and stability, that would raises anxiety ,anxiety  what will coming years carry it, it is future anxiety, because the size of the problems and psychological stress, all the self  possibilities are available to the university's lecturers, these are the importance of study  to

Abstract:
This investigation was carried out to study the nutritional adequacy for
infant milk formula, which imported by Iraqi Ministry of Trade, and are
available in local markets .Most of these formulas contained nearly the same
composition of nutrients which are ,Matines ,Sunny Boy , Salsabeel AL- Badie
,Moroug, ,Charton ,Materna Lery Celia ,Lacstar Lailac,Nactalia. yet they are
unbalanced for providing the daily nutritional requirements for infants whom
depend on bottle feeding for six times daily in their first six month of age. As
there were an increase in daily intake for protein content and most vitamins
that included D, E, C, B1, B2, Niacin, B6, B12, and Biotin as well as most
minerals namely Calci

      Will address this research interaction and coordination between fiscal and monetary policies and the impact of this interaction and coordination on economic stability and growth، and how the financial implications of monetary policy may stimulate action monetary policy and treatment side effects and the nature of responsiveness and bounce between procedures both two policies and their impact on the balance of overall economic and explained in the folds of searchjustifications coordination and the extent necessary in order to address the imbalances in economic activity through twinning actions of monetary and fiscal، has embodied this coordination and interaction between policies and their impact m

This research is an attempt to achieve the following objectives: 1. identifying the nature of the non-verbal communication skills practiced by educational counselors in individual guidance. 2. Identifying the significant differences between non-verbal communication skills exercised by educational counselors from their point of view in regard to their gender (male-female). The researcher used a questionnaire as a tool prepared based on exploratory questions of educational counselors and literature. It has consisted of (26) items over four domains applied to a sample of (50) educational counselors (male and female) who have been chosen randomly from schools located in Baghdad Education Directorate Rusafa / 2. It was treated statistically u

This research aims at shedding light on the concept of insurance awareness and clarifying its role on marketing insurance services of a sample of (100) employees in the National Company for Insurance. Questionnaire is used as a main instrument for collecting data and information from the sample. Their answers were analyzed by using arithmetic means, standard deviation, centesimal weight, and the correlation coefficient ( , F, t) tests .The research reached several conclusions of which:1.The sample member's response to insurance awareness and marketing insurance services factors was in the medium level.2.There was a positive relationship of a moral sign between insurance awareness and marketing insurance services, that correlation coeffic