The aim of this paper is to derive a posteriori error estimates for semilinear parabolic interface problems. More specifically, optimal order a posteriori error analysis in the - norm for semidiscrete semilinear parabolic interface problems is derived by using elliptic reconstruction technique introduced by Makridakis and Nochetto in (2003). A key idea for this technique is the use of error estimators derived for elliptic interface problems to obtain parabolic estimators that are of optimal order in space and time.

    تعدُّ حقوق الإنسان من الأمور التي حثّ الدين الإسلامي على احترامها ومن الأمور غير مسموح المساس بها ، وإنّ إغفالها أو إهمالها أو تضييعها يؤدي الى نتائج خطرة

ملخص البحث تناول البحث دراسة أحد أعمدة فقهاء العالم الإسلامي من حيث العموم والمذهب الحنفي بشكل خاص الإمام محمد بن الحسن الشيباني (رحمه الله تعالى) صاحب أبي حنيفة وفقيه العراق وبعض أحكامه الفقهية المتعلقة بالزروع، ولا يخفى اهتمامه الكبير وباعه الطويل في هذا الجانب، وحرص في الغالب على ذكر وجوه الترجيح، وأسباب الاختيار، واعتمد في ذلك على قواعد وضوابط تؤيد ما يرجحه أو يختاره، مع صياغة ذلك كله بأسلوب علمي رصين، ق

The research aims to achieve a manuscript of Imam Al-Ghazali, may God have mercy on him, verify the attribution of this manuscript to the author, copy the text and serve it in a manner that suits the principles of scientific research in the investigation of manuscripts

The aim of the thesis is to estimate the partial and inaccessible population groups, which is a field study to estimate the number of drug’s users in the Baghdad governorate for males who are (15-60) years old.

Because of the absence of data approved by government institutions, as well as the difficulty of estimating the numbers of these people from the traditional survey, in which the respondent expresses himself or his family members in some cases. In these challenges, the NSUM Network Scale-Up Method Is mainly based on asking respondents about the number of people they know in their network of drug addicts.

Based on this principle, a statistical questionnaire was designed to

Abstract Iraq has an important place in the regional and international balance, and the competition among countries has increased in rapprochement with Iraq, not only for its geography or its privileged location, but because it has many other components that make regional and international countries want to strengthen their relations with it (Regional and international powers). In addition to that, Iraq has become increasingly important for these international and regional powers after its victory over the terrorist organization (ISIS), which proved an important fact that Iraq represents the most important pillars in the international balance.

The latest open commercial markets among countries, shift of capitals, and rise of mass economic, large international organizations, and international contracts leaded to a great increase of competition among countries for attracting capital for investments, specially among under developing countries which had bad economic situation, and which thinks that investment is the best solution to solve their old economic problems.

Developing small, and medium establishments in all economic sectors became the main economic force and natural resources for the development and growth of under developing countries. Small and medium establishments became the majority of any country establishments, and the past international experience shows t