ABSTRACT---- Replication of observation allows consistent estimation of slope parameter of a linear structural model when the ratio of variances is unknown or when some external information about parameters is not available. In this paper, we look at the way a linear structural relationship model work by replicating observations with two different estimation methods of slope parameter and different cases of existence of outliers. The maximum likelihood estimate (MLE) and a new nonparametric robust estimation method are used to estimate the slope parameter in replicated linear structural relationship model (RLSRM). The simulation studies and the application of real data are used to investigate the performance of the estimated parameters. Keywords— Maximum likelihood method, A nonparametric method, Trimmed mean, Outlier, Linear structural relationship model with replicated.
AMEL SAAD AB ALSHARGAWI(1-2022)

في هذه الرسالة نقدم مفاهيم أساسية ذات علاقة بفضاءات الضرب الداخلي وتضاءات هلبرت، ثم نقدم معادلة شرودنجر والتي تكتسب أهميتها في مجالات عدة وأهمها الفيزياء. ً ندرس المعادلة المعتمدة على الزمن وكذلك المستقلة عن الزمن ونضرب مثالا على حلها لحالة المتذبذب التواتقي البسيط والذي سيكون نواة لموضوع هذه الرسالة وهو الحل العددي لمعادلة شرودنجر. نناقش بعدئذ الحل العددي لمعادلة شرودنجر بطريقة مبتكرة والتي تسمى بطريقة الجهد المتشكلة وإتتمام الحسابات في الحالة الأرضية لمنظومة الإسناد وهي منظومة المتذبذب التوافقي البسيط، نقدم النتائج التي توصلنا إليها باستخدام الطرق العددية المعروفة وهي طريقة الفروق المنتهية وطريقة رنج-كوتا. ختام ً نعطي مناقشة مقتضبة حول أعمال مستقبلية يمكن القيام بها وتتضمن إجراء حسابات مماثلة للحالات المثارة للمتذبذب التوافقي البسيط وكذلك إجراء الحسابات باستخدام نظرية التشويش من الرتبة الأولى والمقارنة بين الحسابات الناتجة من طريقة الجهد المتشكلة وطريقة التشويش.
خديجة عبد العاطي بن موسي (2014)

Abstract The Sirt Basin is one of the youngest sedimentary basins in Libya and covers an area of approximately 600.000 km² in north central Libya. It is located on the northern margin of the African plate, with approximate coordinates 14°00`- 20°00`E and 28°00`-31°00`N. The Late Jurassic-Early Cretaceous as Sarir Sandstone in the Sirt Basin evolved as a consequence of the interplay between global eustasy and regional tectonics. As Sarir Sandstone of the eastern Sirt Basin is composed mainly of sandstones and shales resting unconformably on a basement complex of igneous and metamorphic rocks. It is unconformably overlain by the Upper Cretaceous sediments of Maragh, Lidam and Etel formations. It has been subdivided into three members. The upper member consists mainly of sandstones with intercalations of siltstones and shales of variable thickness. The middle member consists of shale and silty shale. The basal part of the formation, which rests directly on the crystalline basement represents the lower member. It is comprised of sandstone with subordinate intercalations of siltstones and shale. Two main facies have been recognized on the basis of lithological features and types of stratifications: which consist mainly of shale and intercalation of silt and sand. The Middle Shale Member consists mainly of shallow lake deposits, containing black shale facies. Continental Fluvial Deposits represent most of the cored interval and it belongs to the Upper as Sarir Sandstone. These facies have been subdivided into braided and meandering lithofacies: The braided depositional system, has been recognized in three different intervals of the studied cores; classified as subfacies (1), subfacies (2) and subfacies (3). The meandering depositional system, represents three sub-environments including point bars, abandoned channels and over-bank deposits. The reservoir characteristics of these sediments are studied on the basis of porosity, permeability and reservoir zonation. The reservoir quality of As Sarir Formation is largely controlled by primary sedimentary features associations, which were shaped by the depositional environments. Meandering Lithofacies are formed from continuous sand successions and show good porosities, up to 18.51%, and permeabilities up to 125.5mD. The Braided Lithofacies also show good reservoir quality, but the effective porosity and permeability are lower, because of associated shales. The most important diagenetic features responsible for a reduction in reservoir quality are those resulting from compaction, cementation, and the diagenesis of clay minerals.
صلاح الدين محمد الوحيشي (2014)