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Jacobi forms of lattice index, whose theory can be viewed as extension of the theory of classical Jacobi forms, play an important role in various theories, like the theory of orthogonal modular forms or the theory of vertex operator algebras. Every J acobi form of lattice index has a theta expansion which implies, for index of odd rank, a connection to half integral weight modular forms and then via Shimura lifting to modular forms of integral weight, and implies a direct connection to modular forms of integral weight if the rank is even. The aim of this thesis is to develop a Hecke theory for Jacobi forms of lattice index extending the Hecke theory for the classical Jacobi forms, and to study how the indicated relations to elliptic modular forms behave under Hecke operators. After defining Hecke operators as double coset operators, we determine their action on the Fourier coefficients of Jacobi forms, and we determine the multiplicative relations satisfied by the Hecke operators, i.e. we study the structural constants of the algebra generated by the Hecke operators. As a consequence we show that the vector space of Jacobi forms of lattice index has a basis consisting of simultaneous eigenforms for our Hecke operators, and we discover the precise relation between our Hecke algebras and the Hecke algebras for modular forms of integral weight. The latter supports the expectation that there exist equivariant isomorphisms between spaces of Jacobi forms of lattice index and spaces of integral weight modular forms. We make this precise and prove the existence of such liftings in certain cases. Moreover, we give further evidence for the existence of such liftings in general by studying numerical examples.
يهدف هذا البحث إلى وضع برنامج تدريبي لتنمية كفايات تعليم التفكير الإبداعي لدى الطالبات المعلمات بكلية رياض الأطفال. وقد صيغت مشكلة البحث في التساؤلات الآتية: 1. ما أسس ومبادئ بناء البرنامج المقترح لتنمية كفايات تعليم التفكير الإبداعي لدى الطالبات ا لمعلمات في كلية رياض الأطفال؟ 2. ما فاعلية البرنامج المقترح في تنمية كفايات تعليم التفكير الإبداعي لدى الطالبات المعلمات في كلية رياض الأطفال؟ 3. ما فاعلية البرنامج المقترح في تنمية التفكير الإبداعي لدى أطفال الطالبات المعلمات في كلية رياض الأطفال؟ وتم استخدام كل من المنهجين الوصفي والتجريبي. كما استخدم التصميم التجريبي ذو المجموعة الواحدة. وتكونت عينة البحث من عينة مختارة بطريقة عشوائية قوامها (20) طالبة من الطالبات المعلمات الفرقة الثالثة في كلية رياض الأطفال - جامعة الإسكندرية؛ وكذلك عينة مختارة بطريقة عشوائية قوامها (70) طفلاً من أطفال الروضة بالمستوى الثاني. اشتملت أدوات البحث على اختبار تحصيلي في الجانب النظري من البرنامج؛ بطاقة ملاحظة كفايات تعليم التفكير الإبداعي في الجانب العملي من البرنامج؛ اختبار التفكير الإبداعي لطفل الروضة. وكانت أهم النتائج التي توصل إليها البحث: فاعلية البرنامج المقترح في تنمية كفايات تعليم التفكير الإبداعي لدى الطالبات المعلمات بكلية رياض الأطفال؛ وكذلك فاعلية البرنامج في تنمية قدرات التفكير الإبداعي (الطلاقة ، والمرونة ، والأصالة) لدى أطفال الطالبات المعلمات بالروضة في مجالات الأنشطة المختلفة (نشاط قصصي، نشاط فني، نشاط حركي، نشاط موسيقي). ويوصي البحث بإعادة تنظيم محتوى برنامج إعداد معلمة رياض الأطفال في ضوء قائمة كفايات تعليم التفكير الإبداعي؛ والاستعانة بمنظور "جاردنر" لتعدد الذكاءات في تصميم التدريس باستخدام المدخل الاختياري والإلزامي معاً.
This research seeks to localize the technology of plasma arc welding (PAW), the best alternative against tungsten arc welding (TIG). So a quantitative comparison between these two technologies has been made, according to the particular case that is DC current. involving heat efficiency, heat input, tensile strength, relative elongation at fracture, micro hardness and angular distortion.
Modified resole resin/short silica fiber composite materials have been prepared. The resole resin was synthesized and then blended with Polyvinylbutyral (PVB) polymer with different weight ratios to reduce its brittleness. The mechanical, thermal and physical properties of Resol- PVB blends were studied to characterize these blends and select the most appropriate mixing ratio of polyvinyl butyral with resole resin, which was identified at 15 phr of polyvinyl butyral for every 100 parts of resole resin.
In the present work, we present our Arabic Semi-Syllable Synthesizer. The work consists of seven steps: (1) building a Semi-Syllable Speech Database for Arabic Semi-Syllable Synthesizer, (2) building the Natural Language Processing Module which compr ises a Text Pre-processing Module and a Text to Phoneme conversion using Arabic Transcription from Orthographic to Phonemes, (3) followed by a Phoneme to Semi-Syllables Mapping using a Syllabification Expert System, (4) an Acoustic Word Stress Analysis for Continuous Arabic Speech based on the three prosodic parameters (fundamental frequency, intensity, duration) in order to detect stressed syllables.
As part of the endeavor to establish new optical manufacturing technologies, to include the manufacture of aspheric optical surfaces using traditional and non-traditional methods, a reference study that explains the concept of aspheric optical surfac es and their design considerations relative to spherical ones has been conducted. A study of international manufacturing methods and in our controlled manufacturing methods using the technologies and equipment available to us as well has been done. These studies provide the possibility and expertise to manufacture new types of optical surfaces. The results of these studies are applied on the technologies available to us for use in the manufacture and measurement of aspherical optical surfaces.
As part of the effort to localize the technology of the measurement of aspheric optical surfaces within the available capabilities locally, we conducted a theoretical study that includes the importance of these surfaces and design algorithm to achi eve better performance of optical systems, in addition to studying the most important methods of measurement, with the allocation of the bulk of the research on the study of optical systems that called "Optical Corrector", And methods of its investment, and then seek to develop special optical correctors.
In the frame of expanding the concept of optical design to include the designing and manufacturing of opt-mechanical systems, and the effect of static stresses on optical elements due to fastening of metal retainers and the resulting optical performa nce, a literature review was carried out to show the effect of static stresses on optical elements due to metallic contacts, temperature and adhesives. Numerical method of finite elements to predict the visual performance of optical systems had been performed.
This research tackles autolanding a power-off fixed-wing Unmanned Aerial Vehicle (UAV) on a level or uphill landing strip with limited dimensions. New approaches to path planning, guidance, and control are proposed for the final approach and landin g stages. These approaches address mid-sized UAVs assuming that the aircraft has only standard control surfaces, i.e. the elevator, the rudder, and the ailerons. This problem has not been covered by the existing flight control literature.
In the context of seeking to develop laser system for remote sensing of main pollutants atmosphere, we have designed and built a laser detection system provide non-intrusive in-situ measurements of gas properties. relying on tunable diode laser abs orption spectroscopy TDLAS technology to detect ammonia gas and ethylene gas with high accuracy and a sufficient sensitivity for economic and medical applications.
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