في هذا البحث ناقشنا بعض المفاهيم ومنها وصلنا إلى مفهوم دالة التمثيل الخطي المحدودة بين جبران بوليان وأخيرا أثبتنا جبريا نظريتا كالتن للتمثيل الخطي المحدود بالأبواب التالية: الباب الأول: قدمنا في هذا الباب بعض التعريفات والقواعد والنتائج الأساسية التي نحتاجها لاحقا. مثل نظرية المجموعات ومجموعة كانتور ومجموعات بوريل. الباب الثاني: ناقشنا في الباب الثاني بعض المفاهيم المتعلقة بالجبر البولي والمؤثر الخطي المحدود بين جبران بوليان. الباب الثالث: أما الباب الثالث فقد ناقشنا فيه المفاهيم المتعلقة بالقياس والقياس المؤشروالمجموعات القابلة للقياس والدوال المقيسة والتكامل بالنسبة للقياس المؤشر وأخيرا عرفنا فضاء . الباب الرابع: قدمنا النتيجة الأساسية لهذا البحث وهي الإثبات جبريا نظريتا كالتن للتمثيل الخطي المحدود. Abstract In this thesis, we give an algebraic proof of the Kalton representation theorems. In chapter one, we give some basic standard definitions and some results we need later. In chapter two we discuss the concept of Boolean algebra, and bounded linear operators between two Boolean algebras. In chapter three, we discuss the concepts of measure, signed measure, measurable sets, measurable functions, integration with respect to signed measure; later in this chapter, we define.In the last chapter (4) we give the main result of our thesis which is the proof of KALTON representation theorems.
إيمان إسماعيل النحائسي (2010)

في هذه الرسالة، ندرس حل معادلة لابلاس في بعض الإحداثيات المنحية مع بعض تطبيقاتهم. أولا سنقوم بالتركيز على نظام الإحداثيات المنحنية وعلى إيجاد معامل القياس الذي يعتبر مهم في كتابة معادلة لابلاس لآي نظام إحداثي منحني. تم تناولنا الإحداثيات الاسطوانية والكروية وحل معادلة لابلاس في هذه الإحداثيات بالإضافة إلى تطبيق ديرشليت لنطاق محدود ب (اسطوانة أو كرة). تم اتجهنا إلى حل معادلة لابلاس في نظام الإحداثيات الحلقية حيث درست باستفاضة، بالإضافة إلى الإحداثيات ذو القطبين وعلاقتها بالإحداثيات الحلقية، ومسالة ديريشليت الداخلية والخارجية. Abstract In this thesis, we study the solution of Laplace's equation in some curvilinear coordinates systems with some applications. We will concentrate first on curvilinear coordinates and find scale factor which is important in writing the Laplace's equation for any curvilinear coordinate system. And we presented the (cylindrical, spherical) coordinates system and the solution of Laplace's equation in these coordinates, as well as Dirichlet application with closed domain (cylinder, sphere). Finally, solutions of Laplace's equation in toroidal coordinates system were studied in details, also we studied the bipolar coordinates system, and its relation with toroidal coordinates, as well as Dirichlet problem for a domain bounded by a toroidal surface
صالحة ونيس بحور (2015)

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)