Abstract The permittivities and dielectric losses of 2-Piperedone, -Caprolactam, 2-Azacyclooctanone and 2-Azacyclononanone have been studied in chloroform solutions. They have been measured using Q meter at frequency range 150KHz to 15MHz.Both 2-Piperedone and -Caprolactam solutions were studied at concentration range 0.05 to 0.25M and over temperatures range of -10 to 45 and. The dielectric studies of 2-Azacyclooctanone solutions cover a concentration range 0.05 to 0.125M and over temperature range of -10 to 45, while that of 2-Azacyclononanone solutions were studied at concentration range 0.01 to 0.075M and over temperature range of -10 to 45. The permittivities at higher concentrated solutions up to 1.5M of 2-Pipere-done, -Caprolactam and 2-Azacyclononanone were also measured at 2MHz using dipole meter DM01 over the temperature rang -10 to 45.The static permittivities for the four systems were discussed as the affect concentration, temperature and the number of CH2 group in the cyclic amides. All show normal behaviour except that the CH2 does not show clear affect. Single relaxation process were observed for the studied compound in the chloroform solutions ( =10-9 sec). All cases, the presence of a relaxation process was established at frequencies higher than used here. These relaxation processes were discussed in terms of their relation to concentration and the number of CH2 group. The dielectric activation energies were calculated using Eyring equation. The obtained values were discussed also in terms of concentration affect. A dependence of on concentration was observed. The dipole moments for the four studied compounds in solutions were evaluated using of Cole-Cole a semicircle plots, which considered to be associated with the relaxation process and other dipole moments were evaluated using =. This was assigned as an apparent dipole moment. All these dipole moments were discussed in terms of concentration and temperature affect. The obtained dipole moments in all studied case were much larger than those expected for planer dimers association. So they assigned to the presence of dimers and trimer or tetramers association in the studied solutions.Kirkwood correlation factor for the studied systems were calculated and discussed as a function of concentration. All values of g are less than unity and were assigned to a cyclic association form.
لطفية صادق حسن المجدوب (2010)

في هذه الرسالة تم دراسة بعض الخواص الجبرية لفضاءات متجهة مع عمليات ضرب مختلفة بحيث تعرف جبر ليس من الضروري أن يكون تبديلي أو تنسيقي مع تقديم أمثلة توضيحية مختلفة على أنواع مختلفة من الضرب. وسنركز بشكل خاص على أنواع الجبر الحقيقي ثنائي البعد، والتي تضم جبرالأعداد العقدية أو المركبة كحالة خاصة من عدد غير محدود من الأنواع الأخرى. ثم نقدم تعريف النهاية والاستمرارية في الفضاءات وخاصة نهاية واستمرارية حاصل ضرب دالتين نطاقهما ومداهما في جبر حقيقي تنائي البعد ونستنبط مبرهنات شبيهة بالمبرهنات المعروفة في التحليل الحقيقي والتحليل المركب. كذالك تمت دراسة نوعين من المشتقات تمثل تلك الدوال. وقد تم بنا قاعدة مشتق فريشيه لحاصل ضرب دالتين بدلالة مشتق كل منهما. ثم تطرقت الرسالة إلى تعريف نوع أقوى من الاشتقاق يتوافق مع الاشتقاق العقدي (المركب) وتم إثبات أن وجود هذا المشتق شرط كافي لوجود مشتق فريشيه، مع أن العكس غير صحيح. Abstract Two dimensional real algebras are studied some illustrations of the vector space with distinct multiplications is given. The limit continuity and Frechet derivative of the product of two Functions, defined on a subset of two-dimensional real algebra with values in the algebra, are studied. A derivative, stronger than Frechet derivative, is defined. The existence of this derivative requires the existence of Frechet derivative; the converse is not true in general. Some properties of differentiable functions are given.
ريما عياد عثمان عربي (2010)

Abstract Libyan cities have experienced a period of rapid urban expansion in the past decades. Urban growth as an example has been the focus of urban researches for a long time. Due to the complexity of the urban growth process, it’s very difficult to model urban growth using traditional urban models. Recently, urban researches are keen on a new technology, Remote Sensing. Remote Sensing technique was applied in many aspects of life, due to ability of covering and representing the real world around us. In urban research, field researches set up many applications to simulate the urban phenomena such as sprawl process, landuse change trends, landcover...etc. Remote sensing technology helps to extract and organize the data about such phenomenon. In addition to understand their spatial relationships, and provides a powerful means to planners and decision makers for analyzing and information about a place or a phenomenon. This will have great impact on the quality of the decision-making. The study uses Spot 5 images, topographic maps which derived from aerial photographs for the year 1980. The remote sensing image interpretation and change detection to review the urban expansion for the study area in (1980 and 2009).Spot satellite image of 2009 and Landuse maps1980 will be used to derive information on urban land use in the study area. The visual interpretation is used to extract landuse. The mutual use of Remote Sensing (RS) and Geographic Information System (GIS) describes the overall physics changes of the study area. This effort can be considered as an application case in this field (RS-based town planning information system), where this thesis show how that system can be useful of using this technology and supporting the sector by developing a model that can support the process of planning and maintain what remained of the agricultural lands to prevent them from encroachment by the urban growth.
حسين علي أحمد زيدان (2010)