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تحضير المركباث الجديدة Sn - 1223 وCu - 1223 الفائقت التوصيل العالي من Hg - 1223 == Preparation of Novel High Temperature Superconductor Compounds (Cu - 1223 and Sn - 1223) From Hg - 1223

Author name: اسراء ماهر جمال
Supervisor name: عماد خضير الشكرجي
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The main problem is the replacing of Hg atom by covalent atoms such as(Cu,Sn) atoms in the compound ((H )B C C ) by consider (x=0 - 1). Firstly, the high temperature superconductor of (HgB C C ) Hg - 1223 had been synthesized experimentally by solid state reaction. The high temperature superconductor (CuB C C ) Cu - 1223, (SnB C C ) Sn - 1223 had been synthesized by solid state reaction.There are many parameters affected the preparation technique such as flow of oxygen, sintering temperature and compacted pressure. The ceramic samplesof((HgB C C ),(CuB C C ) and (SnB C C ) was analyzed by XRD technique to show the phase of Hg - 1223. The XRD - pattern exhibited the presence of Hg - 1223, Cu - 1223 and Sn - 1223 like tetragonal phase incomparable with the ASTM data sheet.The analysis of XRD - pattern showed that the high phase Hg - 1223 was predominated in the crystal structure of all compound (CuB C C ) and (SnB C C ). The XRD - pattern with the aid of a computer software to determine the lattice parameters. The lattice parameters for Hg - 1223 were a=3.99 , b=3.99 and c=16.47 , the compound Cu - 1223 had a=4.171 , b=4.171 and c=16.743 and the compound Sn - 1223 had a=4.05 , b=4.05 and c=15.682 .The EDX analysis for all compounds was investigated to show the elemental ratio in the mixture in agreement with the applied concentration of elements. The SEM analysis for all ceramic samples were showed the surface morphology and then the nature of grains and their size. The Iodiometric Titration Method also had been used to show the oxygen excess that was the role to enhance the mechanism of superconductivity.The resistivity measurement plays an important role in proving the predominate phase and the superconductor behavior through the presence ofIXcritical temperature which was about 115 K, 128 K and 110 K for superconductor compounds Hg - 1223, Cu - 1223 and Sn - 1223 respectively. In order to remove the low phase Cu - 1212 appearance in the crystal structure of the high temperature superconductor compound Cu - 1223 and to improve the superconductor properties we repeated the sintering process. As a result the XRD analysis indicated that the low phase Cu - 1212 predominated in the crystal structure which was had tetragonal phase with the lattice parameters a=3.55 , b=3.55 and c=12.37 . The resistivity measurement was supported the low phase Cu - 1212 with critical temperature about 64 K.

تصميم وتصنيع غشاء رقيق من اكاسيد الزنك المضاد للانعكاس باستخدام تقنيات مختلفة == Design and Fabrication of Antireflection ZnO Thin Film by Using Different Techniques

Author name: نداء طه ياسين
Supervisor name: علاء جبار غزاي
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this work single layer antireflection coating of ZnO thin film has been designed and fabrication on glass and PSi substrates using pulse laser ablation (PLA) and spin coating techniques.Mainly, the work, divided into two parts, first : single antireflection of ZnO thin film using modified characteristics matrix to satisfy zero reflection condition theoretically. Second : ZnO nanoparticle deposited on different substrates using PLA which including the effect of duration pulse of 1000, 1500, 2000 pulses, Energy of 600, 700, 800 mJ and type of solvent by methanol and distilled water have been fabricated studied. In addition, spin coating method have been employed to synthesis this film. Structural and optical properties of prepared films have been characterized using XRD, SEM and EDX, and UV - Vis, respectively.XRD results revealed that the ZnO thin film have hexagonal structure with polycrystalline in nature with preferred orientation of (002). In addition, crystalline size was increased with the increasing of duration pulses at methanol solvent at fixed energy of 700 mJ, besides; in distilled water solvent at 700 mJ have low crystalline size at duration pulse of 1500 pulse. While at fixed duration of 1500 pulse, the crystalline size has low valne at energy of 700 mJ . As well as, the film deposited on glass and PSi substrate using sol gel method have crystalline size of (96.83and 85.16) nm respectively. Narrow FWHM and no phase change has been observed in all cases. SEM images showed that for all cases the films were homogenous with some island and cluster then cracking started to obtain with the increasing of increase the pulse number. Expected of film on glass prepared using

بناء وتوصيف BNT - BKT - BT البيزوالكترك لخزن الطاقة == Construction and Characterization of BNT - BKT - BT Piezoelectrics for Energy Harvesting

Author name: نذير بشير محمود
Supervisor name: عماد خضير الشكرجي
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Lead - free piezoelectrics are non - toxic, cheap and environmental friendlymaterials. Among them Bismuth Sodium Titanate (BNT) which has thechemical formula Bi0.5Na0.5TiO3 with a complex A - site perovskite structure. Inthis study, some modifications on BNT were used to help in applications byforming solid solution with Bi0.5K0.5TiO3 (BKT) and BaTiO3 (BT). The BNTbased(xBNT - yBKT - zBT) with x+y+z=1 ; were prepared via different methodsat the Morphotropic Phase Boundary (MPB) : 0.94BNT - 0.06BT , 0.93BNT - 0.07BT , 0.8BNT - 0.2BKT, 0.84BNT - 0.16BKT and 0.9BNT - 0.065BKT - 0.035BKT with their origin BNT , BKT and BT. Mini Database was proposeddepending on the results of international databases and some crystallographysoftware and plotted as phase diagrams. Several predictions were suggesteddepending on the built Mini Database and phase diagrams for the BNT - BKTBTsystem. The main prediction was : the physical properties either dependedon the changing of crystal structure ( polarization , dielectric constant ,piezoelectric coefficient ) or the properties had linearity with the composition (density, melting point , sintering temperature ). It has been focused on thestudying the crystal structure, dielectric measurements, hysteresis loopmeasurements and polarization fatigue analyses for ceramic samples.The samples were prepared by different methods : the hydrothermalmethod with spherical shape particles of 65nm - 600nm size; and by solid statereaction method. The powder were pressed in suitable template at 250MPa ,sintered according to database prediction "sintering temperature phase diagram", the resulted ceramic discs had relative density 90% - 96 %. These results agreed with the database predictions "sintering and density phase diagrams”.The crystal structure for the prepared samples were studied using X - ray diffraction (XRD) analysis, the XRD showed that the samples BNT - 6BT, BNT - 7BT, BNT - 20BKT, BNT - 16BKT and BNT - BKT - 35BT had the Morphtropic Phase Boundary (MPB) while BNT had the rhombohedral structure. BKT and BT had a tetragonal structure. These results agreed with the predictions "crystal structure phase diagram" The dielectric measurements showed that there were three regions for BNT - BKT - BT system; the first one was the samples with relaxor ferroelectric behaviors, the samples belonging to this region were BNT, BNT - 6BT, BNT - 7BT, BNT - 20BKT, BNT - 16BKT and BNT - BKT - 35BT (i.e. BNT and the MPB region). The second region was the samples with Normal ferroelectric behavior.The sample with this region was BT. The third region was the samples with relaxor - like ferroelectric behavior (weak ferroelectric) as in BKT. The Curie temperature for the samples within MPB was between 270℃ to 300℃, while for the origin : for BNT the Curie temperature was about 320℃; for BKT was about 370℃; and for BT was about 110℃. The depolarization temperature for samples within MPB region was below 100℃ (above room temperature) while for BNT was 250℃.The hysteresis loop measurements were studied both experimentally and theoretically. The study showed that the results for BNT were Ps=35μC/cm2, Ec=60kV/cm, for BKT was Ps=30μC/cm2, Ec=4.7kV/cm and for BT was Ps=26μC/cm2, Ec=9.8kV/cm, while for the samples within the MPB region the results were Ps=45μC/cm2, Ec ≈ 30kV/cm. The polarization had the largest value within MPB, which agreed with the first prediction by the proposed database (i.e. the polarization of BNT - BKT - BT system depends on crystal structure). The coercive electric (Ec) had a linear behavior with the composition. The value of Ec within MPB was in the range of 27kV/cm to 33kV/cm, which was half of the value for pure BNT. This result agreed with the second prediction by thedesigned database. The polarization fatigue analyses were performed depending on the fatigue model. The results showed that the polarization life cycle had the values of 1012 cycles for BNT, 1011 cycles for BT and 104 cycles for BKT, while within MPB region the polarization life had the largest value of about 1016 cycles which was much greater than in origin (BNT, BKT and BT). This result also agreed with the first prediction by the designed database (polarization life cycle had the largest value and depends on the crystal structure). The fatigue analyses predicted the value of applied electric field used in hysteresis loop measurements and the effect of cycle on the applied electric field.Finally, some of the problems were skipped and properties of BNT were enhanced by looking for the MPB region in the solid solution. The MPB showed the value for polarization to be larger than that in pure BNT, and it reduced the coercive electric field comparing to the original BNT. The polarization life cycle at MPB was much greater than in BNT. Therefore, this study could find some solutions for the drawbacks of BNT, and solve some problems for other piezoelectrics.

دراسة عامل تراكم الجرعة لاشعة كاما في الماء والكرافايت ضمن مدى الطاقة (10 - 4) م. ا. ف == A Study of Gamma Ray Dose Buildup Factors in Water and Graphite, in the Energy Range (4 - 10) MeV

Author name: حنان محمد جواد
Supervisor name: ليث عبد العزيز العاني
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: لقد اجريت دراسات عديدة لقياس عامل التراكم لاشعة كاما بانواعه المتعددة لما له من اهمية في قياس الجرع الناتجة من استخدام الاشعة الكهرومغناطيسية وفي تدريعها. في هذه الدراسة تم حساب عامل تراكم اشعة كاما لاثنين من مواد التدريع (الماء والكرافيت) ضمن مدى الطاقة (4 - 10) مليون الكترون فولط، ولغاية سمك 5 معدل مسار حر, لتحقيق هذه الدراسة تم كتابة وتنفيذ برنامج محاكاة باستخدام لغة Visual Basic language اصدار Gوتطبيقه اعتمادا على اسلوب محاكاة مونتي كارلو.الفكرة الاساسية للبرنامج تشمل وصف السلوك الحقيقي للاشعاع والتنبؤ بحركتة العشوائية خلال الوسط. يمكن استخدام هذا الاسلوب لمحاكاة المسالة التقليدية (الكلاسيكية) الناتجة عن سقوط الاشعاع على شريحة مسطحة تعمل كموهن لاشعة كاما. الشكل الهندسي للمصدر المشع الذي اعتمد في هذه الدراسة هو مصدر مستوى عمودي احادي الطاقة.في هذا البحث تم دراسة عامل تراكم الجرعة لاشعة كاما بوجود وعدم وجود تاثير انتاج الزوج ولنفس الطاقة. كما تم دراسة عدد من المتغيرات المتعلقة بتصميم البرنامج والمسماة متغيرات المحاكاة والتي تتضمن عدد اشعة كاما التي يمكن تتبعها وعدد تقسيم مدى الطاقة. تم دراسة اعتماد عامل التراكم على كل من طاقة الفوتون الساقط, عمق الاختراق والعدد الذري لمادة الدرع في حساب عامل تراكم اشعة كاما اظهرت النتائج ان عامل تراكم الجرعة لاشعة كاما يتناسب عكسيا مع زيادة الطاقة. ويمكن تبرير هذا السلوك بما يلي : عند زيادة الطاقة (ضمن مدى الطاقة المدروس) فان احتمالية استطارة كومبتن تتناقص، لان تاثير كومبتون يتناسب عكسيا مع زيادة طاقة. كذلك فان زيادة الطاقة تؤدي الى زيادة قدرة اختراق اشعة كاما في الوسط وهذا يؤدي الى انخفاض احتمالية الاستطارة بزوايا صغيرة وهذا ينعكس على حساب عامل تراكم الجرعة (حيث انة الاستطارة بزوايا صغيرة لها دور كبير في حساب عامل التراكم ). لكل من الكرافيت والماء، اظهرت النتائج الى ان القيم المحسوبة من عامل تراكم الجرعة لاشعة كاما عند عدم وجود تاثير انتاج الزوج اقل مقارنة عند وجود تاثير انتاج الزوج حيث تبقى مساهمة استطارة كومبتن هي الغالبة مقارنة مع تاثيرالفناء(تاثير انتاج الزوج) ضمن مدى الطاقة (4 - 10) مليون الكترون فولط .النتائج التي تم الحصول عليها بالنسبة للماء من برنامج محاكاة مونتي كارلو في هذه الدراسة كانت قريبة جدا الى بعض النتائج التجريبية المنشورة بالمقارنة مع نتائج محاكاة مونتي كارلو التي تم الحصول عليها من بعض الابحاث المنشورة. حيث تعتبر المقارنة مع النتائج التجريبية افضل وسيلة للحكم على النتائج المستحصلة نظريا. | Several studies have been conducted to measure different type of gamma ray buildup factor for its importance in measuring the dose resulting from Electromagnetic rays use and its shieldingIn this study gamma ray buildup factor for two shielding materials water (Zeff =7.42) and graphite (Z=6) within the energy range 4 - 10 MeV and up to 5 thickness mean free path has been studied. To achieve this study a simulation computer program has been written (Visual Basic language version G) and applied depending on Monte Carlo simulation method. The basic idea of the program includes real radiation behavior description and prediction of its random movement through the media. This method can be used to simulate a traditional problem (classic) resulting from the fall of the beam on the flat slide works as attenuator for gamma rays. The radioactive source geometry adopted in the study is mono energetic normal plane sourceIn this research the contribution of annihilation effect on the calculation of gamma ray dose buildup factor has been studied in the same energy and within the studied energy range. This study also examining a number of variables related to the program design called simulation variables like number of gamma scenarios, number of divisions for energy. This research is also including study the effect of energy for the incident photon, shield thickness, and atomic number for shielding material on the calculation of gamma ray buildup factor. The results indicated that the gamma ray dose buildup factor is inversely proportional with energy increase. This behavior means that when the energy within the studied energy range is increased, the probability of Compton effect decrease, since the Compton effect is inversely proportional with energy. Second, the penetrating ability for gamma radiation is also increase and this leads to an decrease in the probability of scattering with small angels and finally it is reflected on the calculation of dose buildup factor (the scattering with small angels plays a very important role in the calculation of buildup factor). For both graphite and water, although the results indicated that the calculated values of dose buildup for plane source when the contribution of pair production is ignored, less in comparison when the contribution of pair production is taken in consideration but the contribution of Compton effect is still more predominant than the effect of annihilation within the range of energy (4 - 10) MeV.The results obtained from the performed Monte Carlo simulation program in this study are very closer to the published experimental results (error = 10.4%) in comparison with Monte Carlo simulation results (error = 40.58%) obtained from some published researches. The comparison with experimental result is the best way to judge on the accuracy of the results obtains theoretically

تطوير واستخدام منظومه كشف المواد المتفجرة عن بعد == Development and Optimization of Stand off Explosive Material Detection System

Author name: ولدان محمد عواد
Supervisor name: سهى موسى خورشيد الاوسي | كمال حسين لطيف
General topic: Physics
Specific topic: Physics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: In order to develop a effected method to reveal the presence of explosive, numerous detection techniques have been studied that are capable of detecting explosives, The current study provides an overview of the present techniques like LIBS which is an atomic spectroscopy, and examined a new technique for detecting called laser induced fluorescence (LIF).LIF essentially measures the optical emission of the excited energetic materials by laser. The use of LIF has led to the discovery of unreported optical characteristics of some compounds that are exclusive to the individual material, like the phase shift and the modulation depth of the fluorescence signals.A high resolution spectrometer is used to record the fluorescence emission wave length for three types of explosive materials, These optical characteristics consist of fluorescence shoulders of the three samples in the wave length between (300 - 370) nm .Using fast rise time photo multiplier and spatial amplification for the fluorescence signal enable us to detect the time domain fluorescence spectrum for three types of explosive materials (AN), (TNT),( C4) and other non - explosive material, this method used Carefully for 8m standoff detection, different type of substrate is examined to simulate the real scan, both the time domain and frequency domain is measured for efficient LIF spectroscopy that give us a total configuration of the tested sample.A library of a total time configuration for different type of material s spectrum enables us to develop a algorithms to distinguish between expl osive and non - explosive material. Used to develop a recognition program to achieve high sensitive detection system.

تصميم وتنفيذ متحسس لمعامل الانكسار باستخدام الالياف الضوئية البلورية PCF == DESIGN AND CONSTRUCTION OF REFRACTIVE INDEX SENSOR USING PHOTONIC CRYSTAL FIBER PCF

Author name: مريم عبد الجبار جاسم
Supervisor name: سھى موسى خورشید الاوسي
General topic: Physics
Specific topic: Atomic Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Photonic crystal fiber (PCF) provides the availability to insert somematerials that enable the materials inside the PCF that provides thematerials to interaction with the light directly where the sensitivity releasedfrom the PCF is higher than the conventional optical fiber. Because of theimportance of the refractive index in many industrial by use it as amonitoring tools, because the clearly relationship between the temperatureand the refractive index and because the clearly sensitive of the phase ofthe liquid - crystals (LCs) where it has a range of temperature to be stay as(LCs) to the temperature and when the temperature be above this range theLCs will be liquid , The aim of the thesis is construction refractive indexsensor using photonic crystal fiber by infiltrating some different materialsof LC such as EBBA (N - (4 - Ethoxybenzylidene) - 4 - n - butylaniline) andMBBA (N - (4 - Methoxybenzylidene) - 4 - n - butylaniline) inside threedifferent kinds of a hollow core PCF (HC - PCFs) like HC - 800 - 02, HC - 1550 - 02, and HC19 - 1550 and using three different laser wavelengthswhich were; 638nm, 850nm, 1550nm. This diversification in the use oftools enable to consider different cases of designed sensor and determine itssensitivity at each case, then one can estimate the perfect cases of thedesigned sensor.It is found that the highest RI sensitivity was 173.31 dBm/RIU forthe HC19 - 1550 infiltrated with the EBBA using the laser with wavelength638nm, while the highest temperature sensitivity was 0.2505 dBm/°C forempty HC - 1550 using the laser with wavelength 1550nm.

دراسة تاثيرات حزمة ليزر هيليوم - نيون واشعة كاما علي المشعع بجسيمات الفا باستعمال بعض CR - كاشف 39 التقنيات المطيافية == Studying the Effects of He - Ne Laser Beam and Gamma Radiation on CR - 39 Detectors Irradiated by ? - particles Using Some Spectroscopy Techniques

Author name: محمد محسن نعمة
Supervisor name: ندى فاضل توفيق
General topic: Physics
Specific topic: Atomic Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The aim of the present work was to study the effect of alpha - particles, gammarays and (He - Ne) laser beam on the track registration and optical properties of CR - 39 detectors. Twenty - four detectors divided into five groups. First group : include nine detectors were exposed to different powers of (1, 5 and 10 mW) of laser beam at times (5, 10 and 15 min) and then irradiated to alpha - particles from 226Ra source. Then it was measured following track parameters, track diameters - D, track density - ρ, and calculated the bulk etching rate - VB, track etching rate - VT, critical angle - Өc, etching efficiency - η, Sensitivity - S, etching ratio rate - V. The results show there was increased in the values of - D, ρ, VB, VT and Өc with increasing of the exposure times of laser beam at (1, 5 and 10 mW) powers, and decrease in the values of - η, S and V with increasing in the exposure time of laser beam at_1 mW power, while increasing within increase of exposed times of laser beam at (5 and 10 mW) powers. And found the appropriate etching time of CR - 39 track detector at etching time of - 4 h with NaOH etchant solation and - 6.25 N at temperature 60 oC. Second group : includes un - irradiated detector as a control. Third group : include five detectors from CR - 39 detector it was irradiated by gamma radiation from 60Co source with doses (300, 500, 800, 1200 and 1600 kGy). Fourth group : include third groups where it was exposed to laser beam at 10 mW power for 15 min. Fifth group : include nine detectors were exposed to powers - 1, 5 and 10 mW of laser beam at times (5, 10 and 15 min). The optical properties of detector were studied by using the UV - Vis. and FTIR spectroscopy.Where it was calculated the optical energy band gap and number of carbon atom to groups (Second, Third, Fourth and Fifth). The results of ultraviolet spectra show increasing in the absorbance - A of detector with increasing in the time exposure of laser beam at different powers and gamma doses, and also decreasing in the optical energy band gap and increasing in the number of carbon atom with increasing in the exposure time of laser beam at different powers and gamma doses. As for the FTIR spectra show change in the peak position of the bands detector to groups (Third, Fourth and Fifth).

دراسة خصائص انتقال لمتضمنات صوتي - ضوئي عالي السرعة والتردد == Study The Transmission Characteristic of Acousto - Optic Modulators for High Modulator Speed and High Frequency

Author name: لبابة عبد الكریم الجنابي
Supervisor name: سھى موسى خورشید الاوسي
General topic: Physics
Specific topic: Atomic Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Acousto optics is a science that studying the light and acoustic interaction for purposes of manufacturing modulators and sensors. The technology turned to the use of acousto optic to solve the problem of transforming the communication technology from the traditional one that used the radio signal in coaxial cable into the modern one that uses the laser light in the optical fibers. Also, this enables to overcome the problem of loss and attenuations that occur in the transmission lines using the traditional technology. More sophisticated methods are suggested to help communication researches; one of the most interesting acousto optic applications are the modulators. The modulators are manufactured for specific applications, such that the input energy power and light frequency are taken in to account. The modulator of this application can achieve high accuracy with some co - operation related to the suitability of used material.In the present research, a high speed and high frequency modulator are proposed based on the concept of acousto optic interaction. The occurrence of the interaction requires existence some experimental material arranged in uniform modulator template. The analysis enables to determine the requirements of the proposed modulator design. The newly proposed idea is the use of highly transparent material that absorbed the interference associated with diffraction. Four types of materials are used to test the proposed designed modulator; they are : LiNbO3, SiO2, TeO2, and Ge, the use of such materials offer rich considerable results especially when using different light frequencies to be input into the interaction system. The proposed modulator design is computerized implemented using Comsolsoftware with predefined characteristics are determined in the stage of the analysis and requirements. As a result, different results are obtained for different use of materials and characteristics.The results are examined using validation test, which includes some performance indications. These indications are achieved by two paths : the first is the measurements of operating parameters that obtained by Comsol directly, while the latter is related to computations of efficiency that achieved programming the theoretical relations using MatLab. Actually, the measurements in the first path are documented to ensure the acceptable performance of the proposed designed modulator, whereas the computations of the second path are recorded to ensure the high performance efficiency of the proposed modulator design. In general, the achieved results were matching the state of art given in most advanced literatures, which ensure the validation of the proposed design and correct paths of performance description.The results showed that the proposed modulator design performed the modulation test with an efficiency percent of about 95%, when using LiNbO3 material in the modulator head, and this efficiency is decreases lightly when using other materials. Besides, the employed measurements and computations are nominating the use of LiNbO3 material rather than others to be used in such types of modulators due to its suitable optical features.Frequent practice tests showed that the behavior of the modulator was acceptable and it is enjoying the ability to be improved. The encouraging results gave the opportunity to suggest some developments for future work in order to strength the modulation results.

تحضير التراكيب النانوية للمركب Ba1 - xCaxTiO3 ودراسة الخواص الفيرواليكتريك == Synthesis and Characterization of Ferroelectric Ba1 - xCaxTiO3 Nanoparticles

Author name: عقيل عبد الرضا خضير عباس
Supervisor name: عماد خضير الشكرجي
General topic: Physics
Specific topic: Atomic Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: في هذه الدراسة تم تحضير المركب النانوي تيتانيت الباريوم كالسيوم Ba1 - xCaxTiO3 بقيم مختلفة لعامل التعويض (x) وهي 0, 0.25, 0.5, 0.75, 1. الطريقة المستخدمة في التحضير هي طريقة الهيدروثيرمال الكيميائية والتي تعتبر من الطرق المفضلة لتحضير تراكيب نانوية متبلورة وذات نقاوة عالية. درجة الحرارة المحددة للتحضير كانت 200 درجة مئوية والضغط كان 20 بار.الجسيمات النانوية المحضرة كان لها معدل حجم جسيمي يتراوح بين 20 الى 41 نانومتر. بعد ذلك تم كبس المساحيق بضغط قدره 127 MPa للحصول على اقراص بقطر 1 سنتيمتر. في المرحلة اللاحقة تم اجراء عملية التلبيد لهذه الاقراص بدرجة حرارة 900 درجة مئوية ولمدة اربع ساعات. معاملات التركيب البلوري والمجموعة الفراغية ومعاملات الشبيكة والحجم الجسيمي والحجم الحبيبي تم الحصول عليها من التحليلات التركيبية والشكلية مثل حيود الاشعة السينية والمجهر الالكتروني النافذ ومجهر التصوير الالكتروني. تم استعمال برامجيات خاصة مختلفة في تحليل النتائج مثل حيود الاشعة السينية والمجهر الالكتروني النافذ ومقارنتها مع النتائج الموجودة في قواعد البيانات العالمية مثل ICSD .اضهرت نتائج التحليلات اكتساب المادة طورا بلوريا متعدد باستثناء الشرط التعويضي x = 1 حيث وجد انه يميل لامتلاك طور منفرد. تم دراسة الخصائص الكهربائية المتمثلة بالقياسات العزلية الكهربائية للمركب Ba1 - xCaxTiO3 حيث تم اعتماد حالتين في هذه الدراسة, الاولى كانت تتضمن تغيير التردد وتثبيت درجة الحرارة, والثانية بتغيير درجة الحرارة مع تردد ثابت لغرض قياس ثابت العزل الكهربائي r)ɛ) ومعامل الخسارة (D) , وايضا تم قياس درجة حرارة كيوري (TC). لوحظ خلال البحث ارتفاع قياس درجة حرارة كيوري (TC) مع زيادة نسبة محتوى الكالسيوم Ca في المركب. وجد ايضا افضل قيمة لثابت العزل الكهربائي ودرجة حرارة كيوري هي عند الشرط التعويضي x = 0.25, لذلك توجد امكانية لهذه المادة للتطبيق في المتسعات وتطبيقات الانظمة الالكترونية عالية الفولتية | In this study, a nano - compound Ba1 - xCaxTiO3 (BCT) was synthesized with varying substitution x = 0.25, 0.5, 0.75, and 1. The method used for synthesis is the hydrothermal chemical process, which is preferable to produce ultrafine, pure, and crystalline nanostructures. The material was synthesized at 200 ℃ and was 20 bar pressure for 24 hours. Barium acetates, calcium acetates, and titanium tetrachloride were used as starting materials. The synthesized nanoparticles had a range of particle size (20 - 41 nm). The powder was pressed into a pellets at pressure 127 MPa to get a diameter 1 cm and thickness 2 mm. Then, these pellets were sintered at 900 ℃ for 4 hours. The parameters of the crystalline structure, space group, lattice constants, particle size and grain size were obtained from the structural and morphological, and topological analyses (i.e., XRD, TEM, and SEM). Special different software were used for analyzing, and specification of the structural and morphological results so as to make a comparison with international results and databases like ICSD. The nano powders produced has a polycrystalline structure, except at substitution (x=1), which possesses a single phase structure. Dielectric measurements for Ba1 - xCxTiO3 were achieved. Two conditions were considered in the study. The dependence of dielectric constant (ε_r) and dielectric loss (D), on temperature and frequency was measured at constant frequencies and temperatures respectively. The values of Curie temperature (TC) were determined from the dielectric measurements. It is found that the values of Curie temperature were shifted toward higher temperatures as a result of increasing the calcium ratio in the compound. The composition Ba0.75Ca0.25TiO3 (x = 0.25), reported the best results which are related to crystalline phase, morphology, dielectric constant and Curie temperature relatively, so it is recommended in capacitors and high voltage power electronic applications.

السلوك التلبيدي والخواص العزلية للمتراكب MgAl204 - Al == Sintering behavior and thermal insulating properties of (MgAl204 - Al) spinel composite

Author name: علي حسين صالح
Supervisor name: قاصد عبد الستار صالح الجنابي
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Spinel - Aluminum composites are drawing greater attention due to their low density, excellent physical, mechanical and refractory properties. This work aims to study the preparing one of the most current conventional technique and sintering behavior of Spinel - Al composite through characterization of the physical, mechanical properties as well as XRD and microstructure of the synthesis Spinel - Al composite specimens.Magnesia (MgO) and alumina (Al2O3) were used as starting materials to prepare stoichiometric magnesium aluminate spinel (MA) via single stage firing process (solid state reaction).Spinel (reinforced material) which prepared at sintering temperatures 12000C and 14000C for 2h soaking time was added in different weight percentage, i.e. 2,4,6,8 wt.% to the aluminum (matrix material) for synthesis Spinel - Al composites in a temperature range of 450 - 6500C via solid state reaction (SSR). The sintering parameters, XRD, microstructure, mechanical and thermal properties of the Spinel - Al composite products were investigated as well as the influence of each of the synthesized spinel contents and sintering temperature on sintering behavior of the composite products were also discussed. The results show that the better sintered density, water absorption, compressive strength, and thermal conductivity of the composite products obtained at low amount addition of spinel fired at 1200 and 14000C was 2wt.% and at 6500C.Also, studying of X - ray diffraction (XRD) for prepared spinel - aluminum composite specimens showed that the composites has many crystalline orientations (38.70, 44.970, 65.30 and 60.190), (390, 45.20, 65.620 and 60.330), (38.90, 45.150, 65.470, and 60.40) and (38.850, 45.260, 65.60 and 60.40) corresponding to (111), (200), (220) and (333) for 2,4,6,8wt% of spinel respectively.The studying of the morphology of spinel - aluminum composite specimens reveal that average grain size of reaches about 6.03, 6.17, 6.22, 6.3 (μm) for 2, 4, 6, 8 wt.% of MgAl2O4 fired at 12000C respectively, whereas their average grain size reaches about 7.18, 7.57, 7.9, 8.48 (μm) for the same spinel content fired at 14000C respectively.

تحضير ودراسة جسيمات الفضة النانوية وتاثيرها المضاد للبكتيريا == Preparing and Studying Nano Silver Particles and Their Anti Bacterial Effect

Author name: سماح صباح عبد الرزاق
Supervisor name: ثامر عبد الجبار جمعة
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The target of this research is to prepare nano silver particles by laser ablation in both deionized and magnetized water. The properties of nano silver particles and their bacterial effects with different parameters’ were studied. The magnetic water was laboratory preparing by square magnets with magnetic flux of 200 mT applied on the deionized water which pass through it 10ns Q.swiched Nd - YAG laser of wave length 1064nm with different energies and different laser pulses number were used with and without applied electric field. Optical properties for the nano silver colloidal by UV - Vis technique was investigate. The absorption for the silver spectrum was found lied at 420 - 430nm, i.e. involved visible region. The absorption peaks have different height due to different both the shape and concentration of nano silver in the colloidal.TEM technique was used for investigating both size and shape of nano silver particles. The nano silver particles have different shapes such spherical, spindles, etc…. depending upon two parameters is laser energy and laser pulses number. The effect of nano silver particles on bacteria growth of three types of bacteria (staph, ps., E.coli) were studied in details under effect of applied electric field of 3000V/m. There is no inhibition zone was obtained when used different silver colloidal except the colloidal prepared under 600mJ and 1000laser pulses, where this colloidal gives an effected property and ability to determine the bacteria growth type ps. In the range of inhibition of 25nm.The results of the TEM show that the shape of nanoparticles affecting the growth of bacteria was spherical and its size ranges between32 - 50nm.

محاكاة لمتحسس بايولوجي باستعمال الالياف البلورية الفوتونية == Simulation of Biosensor Using Photonic Crystal Fiber

Author name: زينة خليفه حمد الدليمي
Supervisor name: احمد كمال احمد
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: تشكل الياف القلب المجوف والقلب الصلد النوعين الرئيسين من الالياف البلوريه الفوتونيه, ان وجود ثقوب هوائيه في هذه الالياف يساعد على حجز الموجات الكهرومغناطيسيه داخل منطقه القلب كما يساعد في تغيير خصائص الانتشار في الالياف.ان امكانية ملئ هذه الالياف بالسوائل يساعد على تطوير خصائصها البصريه. في هذا البحث تمت دراسة نوعين من الالياف البلوريه الفوتونيه كعناصر تحسس في القياسات الاحيائيه.تم دراسة تاثير حقن الليف البصري بسوائل مختلفه نظريا باستخدام طريقة العناصر المحددة. نفذت عملية حقن الليف المجوف (ماخوذ من القلب 19 خليه) وليف مجوف(ماخوذ من القلب 7 خليه) بسوائل مختلفه ( الماء, الماء الثقيل, بينتانول , دم انسجة الكبد البشريه, دم انسجة القالون البشريه والدم لبشرة الجلد). حسبت خسارة الحبس نظريا باستخدام عدة اطوال موجيه لليف البلوري الفوتوني, وجد ان خسارة الحبس تتناقص تدريجيا للاطوال الموجيه الاصغر كلمزااد معامل انكسار الماده المحقونه. وحسبت قيمة التحسسيه نظريا بالاعتماد على تغير الفقدان في حجز الضوء للنمط الاساسي لليف المحقون بالسائل.وجد ان اعظم حساسيه كانت في مادة الدم لبشرة الجلد وتساوي 674.603 لكل معامل انكسار لنوع وافضل مجال كهربائي وجد لنفس الماده انه يساوي 671 لكل فولت على متر.بينما اعظم حساسيه في نوع وجد انها تساوي 147.201 لكل معامل انكسار لمادة القولون وافضل مجال كهربائي كان في هذه الماده ويساوي 366 لكل فولت على متر. تم اخذ الالياف البلوريه الفوتونيه مصمه باقطار مختلفه وايجاد توجيه الليزر باطوال موجيه تتراوح من (1600 - 600) نانومتر داخل الليف البصري البلوري باستخدام برنامج | Solid and hollow cores comprise two sorts of photonic crystal fibers (PCF). The presences of air holes in PCF serves to both confine electromagnetic waves within the core of the fiber and manipulate its propagation characteristics. the potential of filling the PCF with liquids may improve their optical characteristics. In this thesis, both sorts of PCF were investigated as sensing measurements of biological elements. The impact of liquid filling hollow core PCF was studied theoretically using finite element method. Infiltrated HC19 - 1550 (19 cells are taken from the core) and HC - 1550 (7 cells are taken from the core) PCFs with different liquids (water, heavy water, pentanol, colon tissue, liver tissue and epidermis human skin) were applied. Confinement loss was computed theoretically and found that the confinement loss decreased to shorter wavelengths with increased the refractive index of the liquids. Amplitude sensitivity was computed theoretically by deeming the change in confinement loss for the fundamental mode of liquid filled PCF. The maximum amplitude sensitivity was found to be 674.603 in epidermis blood and the best electric field was found to be 671 V/m in the same liquid for HC19 - 1550, while the maximum sensitivity in HC - 1550 is 147.201 for colon tissue with best electric field found to be 260 V/m also in the colon tissue. Photonic crystal fiber has been taken in different diameters and laser guided by wavelengths from (600 nm - 1600 nm) inside the optical crystal fiber using Comsol multiphysics program

استخدام طريقة للتبع نقطة الطاقة القصوى على اساس الحرارة للسطوح الكهروضوئية باستخدام برنامج PSPICE == Maximum Power Point Tracking approach based on Temperature for PV Surfaces using PSPICE program

Author name: حارث محمد سعيد حامد
Supervisor name: زينب منذر يونس كبة
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: This research study the effect of Photovoltaic surface temperature on Photovoltaic panel output characteristics. First, circuit simulator PSPICE was used to compose Photovoltaic panel model at 75 W, 4.8 A and 21 V. Then, study the behaviorof it under varying conditions (solar insolation, environmental temperature and PV panel surface temperature). ABM feature of PSPICE was used to include the above parameters in PV PSPICE model and produced temperature dependent voltage. The voltageconverted to current with galvanic insolation by element Gploy with gain 0.8. The model defined as hierarichal block in PSPICE library and could be called as individual source for any applications.After studying the effect of PV surface temperature on its (IV) curves specially the position of the maximum power point, this temperature was used to keep tracking of the optimal voltage for the PV panel at the MPP. Therefore DC - DC boost converter was used to achieve this purpose.Boost converter was raise a PV panel voltage from 17 V to 34 V for all variation of surface temperature from 300 K to 350 K at frequency 10 KHz and ΔVo = 5 V.

تاثير المسافة بين الاقطاب ومادة الهدف باستخدام الترذيذ المغناطيسي ذو التيار المستمر == The Effects of Electrodes Separation and Target Material by DC Discharge Magnetron Sputtering

Author name: بان فيصل رشيد
Supervisor name: خالد عباس يحيى
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: تتكون منظومة الترذيذ البلازمي من حجرة تفريغ اسطوانية مصنوعة من مادة (Bolosilicate) وتحتوي على قطبين دائرين من st. st. يحمل الكاثود, مادة الهدف وكذلك المغناطيس الثابت اما قطب الانود فيحمل النماذج الزجاجية التي سوف يتم طلاءها .في هذا البحث استخدمت مادتي الذهب والفضة كمادة لهدف. الهدف من هذه الدراسة, هو دراسة تاثير عوامل التشغيل مثل, المسافة بين القطبين ونوع مادة الهدف على خصائص اشكال سطح زجاجي مطلي بوجود المجال المغناطيسي والتي تمت دراستها باستخدام مجهر القوة الذرية (AFM). وايضا تم تحديد درجه حرارة الالكترون وكثافة الايونات والالكترونات واعلومات البلازما الاخرى بواسطة مجس لانكمور المنفرد عند ضغط ثابت (0.2 mbar).اظهرت نتائج هذه الدراسة بينت وجود زيادة خطية في كثافة الالكترونات والايونات وانخفاض اسي في درجة حرارة الالكترونات عند تغير المسافة بين القطبين ولخمسة قيم و(3,4,4.5,5 and 6)cm لمادتي الذهب والفضة وايضا تبين ان فولتيات التفريغ باستخدام الذهب كهدف هي اكبر منها في حالة الفضة. كذلك, وجد انه بزيادة المسافة بين القطبين فان درجة حرارة الالكترونات تقل لمادتي الذهب والفضة وكثافة الايون تزداد مسببة زيادة في قطر وارتفاع الحبيبة لتيار الترذيذ((I_d=30 mA باستخدام الذهب بينما يقل قطر الحبيبة ويزداد ارتفاعها باستخدام الفضة لتيار الترذيذ( (I_d=40 mA. من ناحيه اخرى, ان قيم درجة حرارة الالكترون باستخدام الفضة هي اكبر من القيم باستخدام الذهب وان علاقة قطر الحبيبة, وارتفاعها وخشونة السطح كدالة للمسافة بين القطبين هي ليست خطية. اصغر قيمة لمعدل قطر الحبيبة وارتفاعهاحصلنا عليه هو(90 nm) وnm)6) على التوالي لمادتي الذهب عند تبار الترذيذ ((I_d=30 mA و( . (d=4 cm وللفضة نفس قيمة قطر الحبيبة باستخدام الذهب عند(d=5 cm) لكن بارتفاع5.5 nm) ) عند (d=4 cm) ولتيار الترذيذ (I_d=40 mA). واصغر معدل ارتفاع للحبيبة لكل تيارات التفريغ 20,30,40,50 and 60 mA)) عند نفس المسافة بين القطبين (d=4 cm) باستخدام الفضة والذهب ولكل تيارات التفريغ ماعدا((〖 I〗_d=50 mA والذي يمثل اكبر معدل ارتفاع للحبيبة فيه باستخدام الذهب. واخيرا, ناتج عملية الترذيذ باستخدام الفضة اكبر مما عليه باستخدام الذهب. | In this work, a DC planner magnetron sputtering system used. Which consists of a cylindrical chamber, made from (Borosilicate). It contains two circular electrodes made from stainless steel. The cathode electrode is carried the target material and permanent magnet while a glass sample, which must coat, is placed on the anode electrode. In this works, gold and silver used as a target materials. The objective of this study is to examine the effects of operating parameters such as, electrodes separation, sputtering current, and type of target materials on the properties of glass surface coated under the influence of magnetic field. The surface morphology for the coated samples are studied by atomic force microscopy (AFM). Furthermore, electron temperature, ion and electron densities and other plasma parameters are determined by a cylindrical single Langmuir probe where the pressure up to(0.2 mbar). It is found that a linear increase in electron and ion densities and an exponential decrease in electron temperature with five values of electrodes separation (3,4,4.5,5 and 6) cm. That was observed for gold and silver target materials. Also, the discharge voltage using gold target is greater than that for silver target. Electron temperature decreased for gold and silver targets as the electrodes separation increased. The ion density increased which caused increasing in average grain diameter, height at sputtering current, Id=30 mA , when the target is gold. However, the average grain diameter is decreased and the height of grain increased at Id=40 mA using silver target. On the other hand, the values of electron temperature using silver target is greater than that for gold target. Also, the relation of average grain diameter, height and roughness surface as a function of electrodes separation are nonlinear. The minimum average values of grain diameter, height are (90 nm) and (6 nm) respectively for using gold at Id =30 mA and d=4 cm. For using silver at Id =40 mA the minimum average grain diameter is also (90 nm) at d=5 cm and height is (5.5 nm) at d=4 cm. For all discharge currents (20,30,40,50 3and 60 )mA , the minimum average grain height at the same electrodes separation d=4 cm for using silver and gold target except the value of Id=50 mA, whom a maximum average grain height is obtained. Finally, the sputtering yield for silver target is greater than that for gold target

تقييم السطح البيني لمنطقة الربط الكرافيت بالمعدن == Evaluation of the Intermediate Layer of Graphite Bonded Metal

Author name: مريم بديع عبود
Supervisor name: ثامر عبد الجبار جمعة
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: This work investigates the joining between graphite and stainless steel grade (410), by using active filler metal paste. Brazing technique was chosen because it is efficient, verstile, fast and economical.These new phases considered enhancement the bonding strength of the assembly.

تصنيف الاداء الموجه وغير الموجه لصور الاقمار الاصطناعية == Supervised and Unsupervised Classification Performance Satellite Images

Author name: حسن سالم عبد المجيد
Supervisor name: ليث عبد العزيز العاني
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: One of the main purposes of remote sensing satellite images is to interpret the observed data and classify features. Satellite image classification plays a major role in the extraction and interpretation of valuable information from massive satellite images.The primary purpose of this research is to classify multi - spectral Thematic Mapper satellite images using supervised classification. Unsupervised (RGB color model) and supervised classification (maximum likelihood method) is adopted to achieve the classification purpose. The classification accuracy depends upon the selection accuracy of the training area.PCA Transform is adopted and applied on the original bands to create the principal component images. The first three principle component image contains most the information in all the original bands. For this purpose the first three principle component images are chosen as RGB images to create a colored image.This colored image has been employed for determining and selecting the training areas which are very important for supervised classification after applying histogram equalization enhancement method on the colored image to make the selection of the training area more clarity and accuracy. After that the selection of the training areas is ready as an input for the supervised classification.Our results showed that the image with higher variance value doesn't represent a prerequisite in image clarity. The variance with mean value may reflect the quality of the image. The variance and means look like the torque in physics. So that we can see that the image with low variance and mean value near the middle of the dynamic range value has more quality than the image with high variance and mean value near the edge of the minimum or maximum value. Improve the selection of the training area (region of interest) visually plays an essential role in increasing the accuracy of supervised classification and this reflects on the calculation of the area for each class in the scene. In the present work, the overall accuracy increased from 68.5% to 98.9%after adopting the histogram equalization technique as an enhancement technique in improving the selecting the training area visually.Although a high classification accuracy with principal component image, but still the classification process with original bands is better because its values represent the real spectral reflectance. The result of classification accuracy with the original bands is enhanced from 68.5% to 97.08% and became very comparable with the result of classification accuracy with the principal component images 98.86% when the selection of the training area (region of interest) has been improved visually.In this thesis, the ENVI (Environment for Visualizin Images) software version 4.5 has been used to achieve the aim of this study.

تعديل سطوح التيتانيوم وسبيكة التيتانيوم باستخدام المواد الاحيائية السيراميكية بواسطة الرشرشة بالترددات الراديوية == Surface Modification of Titanium and Titanium Alloy Using Ceramic Biomaterials by RF Sputtering

Author name: دنيا عبد الصاحب هاشم حمدي
Supervisor name: ثامر عبد الجبار جمعة | ثائر لطيف مزعل
General topic: Physics
Specific topic: Atomic Physics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: The current in this thesis research deals with the plasma sputtering which was used to deposit single and triple layers ceramics on (cpTi) and ( Ti - 6Al - 4V) alloy. Also ,in this work the in vitro electrochemical tests , formation of HAp by biomimetic process on the coated layers by the immersion in Simulated Body Fluid(SBF) at PH equal to 7.4 and room temperature was done . The single layer TiO2and HAp , multi - layer consist of TiO2 and Al2O3 were deposited on cpTi and Ti - 6Al - 4Valloy, followed by the deposition of third layer of HAp. The deposition conditions in the RF sputtering system such as vacuum pressure, substrate temperature, power, gas type, gas flow and deposition time were fixed for the sputtering system where as the distance between the target and the substrate was varied (9 and 7 cm). Structural analysis was carried out , on the deposited layers(single and triple) using X - ray Diffraction (XRD), Scanning Electron Microscopy (SEM), Furrier Transformation Infra - Red (FTIR), Raman Spectroscopy and X - ray Photoelectron Spectroscopy (XPS). Elemental analysis for HAp deposited in the single and triple layer was done using Energy Dispersive X - ray Spectroscopy (EDS).To investigate the biocompatibility of coatings the formed layers, were immersed in (SBF) for one month. After one month the samples were taken and anlyezed using the same structural analysis techniques used before immersion. Electrochemical investigation was carried out on the deposited layers used Open Circuit Potential (OCP),Linear Sweep Voltage(LSV) and Electrochemical Impedance Spectroscopy(EIS) in SBF. The XRD structural results show that the formation of HAp which was dominated on the phase formation on the surface of the single and triple layers. Also another Calcium - Phosphorus compound phases are found such as Tri Calcium Phosphate(TCP), Octa Calcium Phosphate(OCP) and Calcium Phosphate(CP) along with small fractionIIof the Titanium phase belong the substrate .For TiO2 single layer, XRD pat reins shows the formation of the rutile TiO2which covered the substrate surface.Elemental analysis by using EDS for the single and triple layer deposited in cpTi and Ti - 6Al - 4Valloy shows the energy transitions belong to the dominated elements, Ca and P, which contained in the HAp layer that already showed by XRD. Surface analysis by XPS for immersed samples in SBF for one month show the bonding type and the compound that formed. The XPS results confirmed the SEM observation, the FTIR and Raman results. It was found from the XPS analysis that most of the compound covers the surface are belongs to the Ca - P companies to the carboxyl groups (C - O, C - H) and this was confirmed by the XRD investigation which show the domination of (HAp) in the highest intensity (211) reflection at 2θᵒ of 31.7 for the single and triple layer coating. The XRD results also show the disappearance of the other CaP compounds after one month of immersion in SBF like TCP and CP .The increase in the HAp concentration after immersion indicates the occurrence of the biomimetic process that increases the precipitation of Ca+ and P - from the SBF and the two roots combined together to form CaP compound that increases the HAp concentration. The electrochemical parameters predicted from corrosion test show the improvement in the corrosion resistance of both cpTi and Ti - 6Al - 4Valloy after coated by shifting the OCP toward the nobel direction which was the same behaviour for the corrosion potential Ecorr, and decreases in the corrosion current Icorr and the corrosion rate CR comparing to the uncoated specimens. The (EIS) measurements conformed the improvement in the corrosion parameters result of from OCP and LSV by the very low capacitance for the coated specimens compared to that for the uncoated one which means that the single layer and triple layer protect the surface by increasing the equivalent circuit impedance block

تحضير النشاط الاشعاعي وتقيم مخاطره الاشعاعية لبيئة مصفى الدورة والمناطق المحيطة به

Author name: جعفر جليل سلطان الطائي
Supervisor name: ندى فاضل توفيق
General topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The objectives of the present study were to measure the level of the radioactivity Al - Dora refinery and surrounding area. The study includes : The first. the radon gas concentration in soil samples from Al - Dora refinery and dust samples from surrounding area by using "sealed can technique" and CR - 39 track detector to registration alpha tracks emitted from radon gas in (soil and dust) samples. The second. Detect of the radionuclides and measure the specific activities in soil and water samples using gamma ray spectroscopy system with HPGe detector. The measured soil, water and dust samples were taken from (40) samples, 27 soil samples (surface, 15 and 30cm depth), 8 water samples and 5 dust samples. The detecting of naturally occurring radionuclides (226Ra belong to 238U series, 228Ac belong to 232Th series and one natural radionuclide 40K) in the (soil and water). And estimate the radium equivalent (Raeq), absorbed dose rate in air (ADRA), hazard index (Hex, Hin) and annual effective dose equivalent (AEDE) in soil samples of Al - Dora refinery and surrounding area.The radon concentration in surface soil samples ranged from (290.709 to 394.534 Bq/m3 with an average 365.925 Bq/m3). The radon concentration in soil at the depth 15 cm was ranged from (294.862 to 346.775 with an average 324.164 Bq/m3) and at the depth 30 cm was ranged from (228.633 to 288.414with an average 254.947 Bq/m3). The surface exhalation rate in surface soil samples ranged were ranged from (0.601, to 0.816 with average 0.757Bq·m−2.h−1), in soil samples at the depth 15 cm ranged from (0.61 to 0.717 with average 0.671 Bq·m−2·h−1) and in soil samples at the depth 30 cm ranged from (0.47 to 0.597 with average 0.527 Bq·m−2·h−1). The mass exhalation rate in surface soil samples were ranged from (0.469 to 0.639 with average 0.59 Bq·kg−1·h−1), in soil samples from depth 15 cm ranged from (0.457 to 0.559 with average 0.523 Bq·kg−1·h−1) and in soil samples at the depth 30 cm ranged from (0.368 to 0.465 with average 0.411 Bq·kg−1·h−1).The specific activities for radionuclides (226Ra, ٢28Ac) in surface soil samples were ranged (from 11.725, 15.41 to 59.08, 36.17 Bq/kg respectively) with an average (33.621 and 22.375 Bq/kg respectively) and the specific activity of 40K radionuclide ranged (from 328 to 424.9 with average ٣٦٣.٤٥ Bq/kg). At 15 cm depth ranged (from 18.047, 14.613 to 39.71, 21.673 Bq/kg respectively) with an average (30.527 and 19.66Bq/kg respectively), the specific activity of 40K radionuclide ranged (from 201.3 to 391.3 with average٣٢٦.٧٣ Bq/kg). At 30 cm depth ranged from 17.94, 12.89, to 45.766, 23 Bq/kg respectively) with an average (30.393 and 18.124 Bq/kg respectively), the specific activity of 40K radionuclide ranged (from 231.4 to 351.3 with average ٣١٠.٩٤Bq/kg).For water samples ranged (from 1.60, 1.025 to 8.805, 13.52Bq/kg respectively) with an average (5.031 and 2.925 Bq/kg respectively), the specific activity of 40K radionuclide ranged (from 11.462 to 18.58 with average ١٥.٧٧٨Bq/L).The average values of Raeq, Hin, Hex, ADRA, and the annual effective indoor and outdoor doses in soil and water samples were, in surface (93.70 Bq/kg, 0.309, 0.226, 39.755 nGy/h, 0.198 mSv/y, 0.049 mSv/y), in 15cm depth (83.582 Bq/kg, 0.34, 0.2٥2, 44.34 nGy/h, 0.227 mSv/y, 0.055 mSv/y), in 30 cm depth (80.253 Bq/kg, 0.299, 0.217, 38.051 nGy/h, 0.189 mSv/y, 0.047 mSv/y), and in water (10.428 Bq/kg, 0.042, 0.028, 4.788 nGy/h, 0.024 mSv/y, 0.006 mSv/y).

تحضير مادة طلاء من فررايت الليثيوم - النيكل بالتعويض المتكافئ == Preparation of Painting Material from Li - Ni Ferrite with Isovalent Substitution

Author name: صادق هاني لفتة مخلص السراجي
Supervisor name: عماد خضير عباس | علي مطشر موسى
General topic: Physics
Specific topic: Physics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: حضر فيرايت الليثيوم - نيكل النانوي ذو التركيب Li0.5 - 0.5xNixFe2. - 0.5xO4 بطريقة الهايدروحرارية وبمجموعتين من كلوريدات المعادن وكبريتات الحديدوز وهيدروكسيد الصوديوم. كل مجموعة تتصمن تغيير x بالقبم 0.1 و0.3 وحتى 1.0. المجموعة واحد بدون Fe2+ والمجموعة اثنين مع اضافة Fe2+ . النسبة Fe3+/ Fe2+ ابقيت ثابتة بمقدار 1.7، درجة حرارة التحضير كانت 155oC والدالة الحامضية مساوية لقيمة 11. كل التراكيب حضرت باستثناء المركب عند x=0 بدون اضافة Fe2+ والتي لم يتمكن من تحضيرها بهذه الطريقة تحت الظروف التجريبية المستخدمة. اظهرت النماذج سيادة طور سبنل فيررات بعد x=0.3 للمجموعة واحد وطور نقي عند x=0.3 باستخدام Fe2+ . ثابت الشبيكة للمجموعة اثنين اقل مما للمجموعة واحد. الحجم البلوري يصل لادنى قيمة عند x=0.5 للمجموعة واحد وتقريبا اعظم ما يمكن للمجموعة اثنين عند x=0. قمم اطياف تحت الحمراء لرباعي السطوح تزاح نحو الترددات الاعلى مع زيادة تركيز Ni2+. اشكال الجسيمات كانت : قضبان (غالبا للهمتايت) بمعدل قطر 40nm، وكروية(اصلها مكعبات فيرايت نانوية) بحجم حوالي 20nm. حلقات M - H امتلكت شكل الحرف S مماثلة للتي للسوبربارامغناطيسية. عموما فالنماذج المحضرة تمتلك اقل قاهرية (coercivity)، واعلى تمغنط اشباع (saturation magnetization) من الادبيات المنشورة. كلا المجموعتين امتلكت اعلى تاثرية عند x=0.5. وقد فسرت هذه النتائج على اساس التركيب وتوزيع الايونات الموجبة والتفاعل بينها وحجم الجسيمات. الامتصاص الرنيني للاشعة المايكروية باستخدام اختبار FMR اظهر ان القيمة الاعظم للتاثرية الخيالية χ″ هي عند x=0.5 للمجموعة وقيم عليا عند x=0.7 وx=0.9، واكبر عرض خط حوالي 950G عند x=0.7 . المجموعة الثانية اظهرت اعظم امتصاص(χ″) وعرض خط عندx=0.9 . بعدها تم الخلط مع ايبوكسي النوفالاك بنسبة وزنية 39.7 %. اختبار دائرة القصر - لقياس الرنين المغناطيسي بانعدام المجال قد اظهرت امتصاص للاشعة المايكروية لترددات اكبر من 19GHz. تفسير ان نماذج المجموعة اثنين تمتلك امتصاص اكبر من المجموعة واحد اعتمد على الموصلية التنقلية hopping وعلى تغير المعلمات المغناطيسية ( MsوHc). طريقة خط النفاذ باستخدام VNA في الحزمة - X والحزمة - Ku اظهرت ان خسائر العودة او الانعكاسRL تكون اقل ما يمكن عند x=0.3 للمجموعة واحد في الحزمة - X بينما ذلك عند x=0.3 وx=0.5 للمجموعة اثنين. اضافة Fe2+ يقلل القيمة الدنيا بعامل اكبر من 1.5. خسائر الادراج IL في الحزمة - X تتراوح بين - 4.5dB الى - 7dB . ان RL وIL في الحزمة - Ku تمتلك سلوك متشابه ولكن قيمها اقل. ان RL تصبح اقل ما يمكن عند x=0.5 وبقيمة - 18dB بينما كانت حوالي - 12dB باضافة Fe2+ . ومعدل قيمة IL في حزمة - Ku هي - 6dB. يلخص تاثير السمك بتحسين قيم RL وIL ولكن مع ازاحة القمم الدنــيا الى تــردد اقـل. ســمك بـمقدار 2mm يمـتلك RL< - 27dB وIL< - 19dB. | Nano Li - Ni ferrite samples having the structure Li0.5 - 0.5xNixFe2. - 0.5xO4 were prepared by hydrothermal method in two sets from metal chlorides, ferrous sulfate and NaOH. Each set implicated varying x through 0, 0.1, 0.3 to 1.0. The samples were without and with adding Fe2+. The ratio of Fe3+/ Fe2+ was kept at 1.7. The preparation temperature was 155 °C and pH was equal to 11. All composition was prepared except that for x=0 without Fe2+ which cannot be prepared under used experimental conditions. Samples showed dominant spinel ferrite phase beyond x=0.3 for set one and pure phase at x=0.3 with Fe2+ addition. Lattice constant of set two is slightly lower than set one and both are slightly lower than theoretical values. The crystallite size gets minimum at x=0.5 for set one and roughly maximum at x=0 for set two. Fourier Transformation Infrared (FTIR) spectrums tetrahedral showed peak shift to higher frequency with increasing Ni2+ concentration. Particles shapes were : rods (often hematite) average diameter 40 nm, spherical (nanocube ferrite in origin) sizing around 20nm. Hysteresis Loops have S - shape like to superparamagnetic one. Generally the prepared samples have lower coercivety Hc, higher saturation magnetization Ms compared to these in literatures. Both sets give maximum susceptibility at x=0.5. These results are explained based on composition, cations distribution, cation interactions and particle size. Resonance microwave absorption by using Ferromagnetic Resonance (FMR) test showed that the maximum imaginary susceptibility χ″ is at x=0.5 for set one besides high values of 0.7 and 0.9, with largest linewidth of about 950 G at x=0.7. Set two showed max absorption (χ″) and linewidth at x=0.9. Powders were then mixed with Novalac epoxy by 39.7 %wt. Shortcut - FMR test with no field showed that high absorption to microwave field for frequencies larger than 19 GHz. The explanation of that set two samples have larger absorption than set one is based on hopping conductivity and magnetic parameters (Ms and Hc) variation. Transmission line method by using vector network analyzer in X - band and Ku - band showed that return (reflection) loss RL got minimum at x=0.3 in for set one in X - band whereas that happen at x=0.3 and x=0.5 for set two. Adding Fe2+ lowered the minimum by a factor of more than 1.5. The insertion losses IL in X - band ranging from - 4.5 to - 7 dB. RL and IL in Ku - band have same behavior but their values are lower. RL got minimum at x=0.5 with value of about near to - 18dB whereas it was around - 12dB by adding Fe2+. Average IL in Ku - band - 6dB. Thickness effect is abstracted by enhancing RL and IL but shifting the minimum of peaks to lower frequency. 2mm thick has RL< - 27dB and IL< - 19dB.

الحالات الكمية المتشاكهة المشوهة وبعض تطبيقاتها == q - Deformed Quantum Coherent States and Some of Their Applications

Author name: احمد شاكر محمود ياس
Supervisor name: محمد عبد الزهرة حبيب
General topic: Physics
Specific topic: Physics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: The concept of q - deformation has found many important applications in a variety of fields in physics, such as quantum optics, atomic physics, solid state physics, nuclear physics and cosmology. This has motivated its extension to many well - established other concepts such as coherent states well - known in quantum optics. On the other hand, the interpretation of the physical meaning of the q - deformation remains an outstanding problem.The present work is an attempt to apply the concept of q - deformed coherent states to solve this interpretation problem. The q - deformed 1 - D quantum harmonic oscillator is used as a model for the application of the methodology of using q - deformed coherent states to solve this problem. This is achieved by first deriving the classical Liouville equation for the q - deformed 1 - D classical harmonic oscillator in the undeformed and deformed oscillator phase spaces. Then, this equation is solved by using the method of characteristics which gives the classical probability distribution function for this oscillator in phase space. The behavior of this function is then investigated by using a computer visualization method based on a computer program constructed in Mathematica® language.On the quantum level, the Heisenberg equation of motion for the density operator corresponding to this 1 - D quantum harmonic oscillator is expressed in the present work in terms of the standard quasiprobability distribution functions, again in the deformed and undeformed phase spaces. This helps to derive the quantum Liouville equations for this q - deformed oscillator in these phase spaces. The classical limits of these resulting Liouville equations are then approached by extending a standard procedure based on the non - deformed coherent states to the q - deformed case. In addition to the application of the standard q - deformed coherent states, a novel approach based on q - deformed coherent states due to Arik and Coon is also employed in this investigation.The results of detailed mathematical derivations in this process of approaching the classical limit reveal that this limit is statistical in nature. This is similar to the case of the ordinary undeformed oscillator which has been proved previously.They also reveal, together with the complementary computer visualizations, more information about the physical meaning of the q - deformation. This includes the observations that the q - deformed 1 - D oscillator can be interpreted as a nonlinear oscillator where the nonlinearity parameter depends on . Also, the behavior of the classical limits of the quantum Liouville equations for this oscillator is observed to show whorl shapes that can be contrasted with their classical analogs.This whorl shape behavior can be considered as a phenomenon connected with q - deformation in general; the anharmonic oscillator being a special case.Some connection with phase space having a non - commutative geometry, resulting from q - deformation, also finds evidence in some of the results presented in this thesis.

معالجة رقمية وتحليلية للاثار الناتجة من التشعيع بالمصدر النيوتروني 241Am - 9Be على بعض كواشف الاثار النووي للحالة الصلبة == Digital Processing and Analysis for the Tracks Produced From the Irradiation with Neutrons Source 241Am - 9Be on Some of Solid State Nuclear Track Detectors

Author name: مصطفى يوسف رجب
Supervisor name: حسين علي الجبوري
General topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Image processing technique was used in a lot of studies and research and it concluded , including a number of mathematical relations . In this study , two programs were used , the first one; MATLAB program and second Image - J program . These programs were used to tracks analysis of α - particles on the nuclear track detectors type CR - 39 and CN - 85 . Where irradiated detectors by thermal neutrons from (241Am - 9Be) source with activity 12Ci and neutron flux 105 n.cm - 2.s - 1 . Which obtained on incident α - particles for detectors through 10B(n, α)7Li interaction after covered it with boric acid H3Bo3 pellets . The irradiation times - TD for both detectors were 4h , 8h , 16h and 24h .Through the analyze irradiated detectors of using MATLAB outputs for found the following relationships : a)The irradiation time - TD has behavior linear relationships with following nuclear track parameters, Total track number - NT, Maximum track number - MRD (with depended on track diameter - DT at range of radiation response region 2.5μm - 4μm and 2.5μm - 5μm for CR - 39 and CN - 85 detector respectively) and Maximum track number - MD (without depending on track diameter - DT). b) The irradiation time - TD has behavior exponential relationship with maximum track number - MRA (with depended on track area - AT ) at range of radiation response region 7μm2 - 24μm2 and 9μm2 - 35μm2 for both CR - 39 and CN - 85 detector respectively. c) The irradiation time - TD has behavior a logarithmic relationship with maximum track number - MA (without depending on track area - AT).While through the analyze of outputs Image - J program for irradiated detectors found the irradiation time - TD has behavior linear relationships with following nuclear track detector parameters : a) Total track number - NT. b) Maximum track number - MRA (with depended on track area - AT ) at range of radiation response region 12 μm2 - 24μm2 and 5 μm2 - 27μm2 for both CR - 39 and CN - 85 detector respectively. c) Maximum track number - MA (without depending on track area - AT)This study show that MATLAB program was more analytical and accuracy from Image - J program , through the logarithmic behavior for both detectors between irradiation time - TD with the maximum track number - MA (without depending on track area - AT). There is the possibility of future use image analysis of MATLAB program in the other nuclear track parameters analysis , including ; etched velocity - Vt, , track diameter - Dt , critical angle of nuclear track - θt , nuclear track depth - Dp .The image analyze technique for nuclear track detector which obtained from this study especially with regard to track diameter - TD can be take into account for classification of α - particle emitters , In addition to introduce this technique in preparation of nano - filters and nono - membrane in nanotechnology fields

تحضير ودراسة المركبات SnxBa4Ca2Cux+4Oy وYnBa5Cun+5Oy == Preparation and Characterization of the SnxBa4Ca2Cux+4Oy and YnBa5Cun+5Oy Compounds

Author name: رؤى فخري هادي
Supervisor name: عماد خضير الشكرجي
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The present study includes the preparation of SnxBa4Ca2Cux+4Oy and YnBa5Cun+5Oy compounds with (x = 3, 4, 5, 6, 7) and (n=3, 5, 7) by solid state reaction (SSR) method. The study was to conclude the superconductor behavior of both compounds. The prepared samples were analyzed by Meissner effect primary, and the excess oxygen content was measured by using Iodomertric titration method. The samples characterized by XRD patterns with computer program that was used to determine the value of lattice constant, Scanning Electron Microscope (SEM), Energy dispersive X - ray spectroscopy (EDS) to study the grain morphology and also resistivity measurement was performed by Van der Pauw method to conclude the nature of behavior.The resistivity measurement results of Sn - Ba - Ca - Cu - O system showed that the semiconducting behavior, increases with decreasing the temperature toward low temperature, the lowest and the highest normal resistivity were found at x=6 and at x=4, respectively. The system Y - Ba - Cu - O showed a superconductor behavior with high transition temperature, the Tc at n=3 of about (113.6 K), the sample prepared with n=5 has Tc=113 K, meanwhile the sample prepared with n=7 has Tc=105 K.The x - ray analyses for SnxBa4Ca2Cux+4Oy samples showed that the tetragonal structure, and the c - parameter increased by increasing the value of (x) until reach to maximum value at x=5 then return back decreasing at x=6 and 7. The x - ray diffraction analysis of the compound YnBa5Cun+5Oy has orthorhombic phase and when Y - atom concentration and the number of CuO2 layer increased tend to increase b and c - axis.The Scanning Electron Microscopy (SEM) results showed that the appearance of nanostructure in Sn6Ba4Ca2Cu10O22 and Sn7Ba4Ca2Cu11O24 samples in the range (100 - 300 nm), whereas the other samples of Sn - familywas a microstructure. On the other hand, the Y - 358 had large grains randomly comparable with Y - 5 5 10, Y - 7 5 12 addition to absent the interfaces distances from Y - 358. The results of EDS showed that the agreement of the peaks appeared with the theoretical values.

تحضير وتوصيف المادة الكهروحرارية ZnxBi2 - xTe3 == Preparation and Characterization of ZnxBi2 - xTe3 Thermoelectric Material

Author name: منال عبد الواحد عبود
Supervisor name: عماد خضير عباس | علي مطشر موسى
General topic: Physics
Specific topic: Physics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: In this project we constructed a DC sputtering system for thepreparation of BiR2RTeR3R (Bismuth Telluride) thin films. BiR2RTeR3R and itsZnRxRBiR2 - xRTeR3R alloys which were prepared in this work by solid solutionas bulk samples and by D.C. sputter as thin film samples. Bothsamples are characterized by X - ray Diffraction Pattern (XRD) and byGrazing Incident Small Angle X - ray Scattering (GISAXS) for thinfilms that have small thickness less than 100 nm. Thin films sampleswere prepared under different deposition conditions (differentdeposition time, different pressure, different voltages and differentelectrodes distance). (XRD) and (GISAXS) results showed that theprepared BiR2RTeR3 Rwas polycrystalline and has high direction at (015)plane in 2????=27.37 ͦ while its alloys at (0015) in 2????=45.12 ͦ and theintensity of the peak increase by increasing Zn amount indicateincrease this plane density. For thin films the (XRD) results show thatthin film prepared under deposition conditions of (0.06 mbar, 900volt, 1 hour, 100 mA and 1cm electrodes spacing distance) areamorphous at thickness less than 200 nanometer and polycrystalline ifthe thickness increases more than 250 nm. A shift in planes presenceis due to the creation of (ZnTe) compound and increase in grain size.Atomic Force Microscopy (AFM) was used to estimate the average grain size of thin film prepared, results showed different average grain sizes depending on the system type and system parameters, also depending on the target composition. DC sputtering system showed lesser average diameter and high roughness that indicates DC sputtering system is suitable for long time deposition high efficiency TE thin film. To investigate the structure of samples Scan Electron Microscopy (SEM) was used and High Resolution Transmission Electron Microscopy (HRTEM) to evaluate the nano inclusion of solid solution.Thickness of some sample was examined by SEM technique where thicknesses of 23 nm, 46 nm and others are estimated. HRTEM Techniques are used to identify the shape of the low dimensions structure produced in the project. It is found that there are particles size with diameter rang about (66 - 107 nm) having uncontrolled shapes and size which were discovered in samples besides nano inclusions of Zn and ZnTe phase.Thermoelectric properties (Seebeck, power factor, conductivity and figure of merit) of all samples (bulk, thin films) were tested .The results show that the maximum Seebeck coefficient for Bi2Te3 as a bulk is (67.02 μV/K) at T=373 ͦ K while adding Zn enhance this value to (123.96 μV/K) at 363 for Zn0.1Bi1.9Te3 and (224.6 μV/K) for Zn0.2Bi1.8Te3 at 348 K and (189.6 μV/K) for Zn0.3Bi1.7Te3 at348 K. on other hand the thin films prepared have larger thermoelectric properties i.e. high seebeck coefficient, high power factor, high electrical conductivity and high figure of merit for all four alloys.

تصنيع وتوصيف مفتاح بلازما الومضة الكاذبة ذو القدرة العالية == Construction and Characterization of Pseudospark High Power Plasma Switch

Author name: بسمة حسين حمد الشمري
Supervisor name: احمد كمال احمد | كمال حسين لطيف
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:

محاكاة عامل تراكم الجرعة لاشعة كاما متضمنا تاثير اشعة الفناء للالمنيوم، والحديد والرصاص == Simulation of Dose Buildup Factor of Gamma Ray Including Annihilation Radiation for Aluminum, Iron and Lead

Author name: مروة صباح مهدي
Supervisor name: لؤي ادور جورج | ليث عبد العزيز العاني
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: A computer program based on Monte Carlo method had been designed and written in visual basic computer language and utilized for simulating the classic problem of gamma ray beam incident on finite plane slabs of absorbing materials. The source geometry adopted in this program is plane normal source.Dose buildup factor of gamma photons in the absence and presence pair production effect have been calculated in the energy range (4 - 10) MeV for aluminum, iron, and lead up to 5 mean free path thickness.Some of physical parameters has been studied and the simulation results indicates the following remarks : • Gamma ray buildup factor increases with the increase of the thickness for the three shielding materials, this increase in dose buildup factor is due to the increase of scattering with the small angles and with the increase of the thickness of the material.• Dose buildup factor for low atomic number material (Al, Z=13) is higher than that for medium (Fe, Z=26) and heavy (Pb, Z=82) material for the same photon energy (10MeV). A rapid decrease of the buildup factor values with the increase of Z is seen. This dependence is in a good agreement with the fact that the proportion of the cross section for Compton effect decreases with increasing atomic number, therefore the Compton effect plays a more significant role in lighter materials which have lower atomic number (Z).• Dose buildup factor is inversely proportional with the increase of energy within the studied enrgy range (4 - 10)MeV. This behavior can be explained that the cross section for Compton scattering within the studied energy range is decreased with increase ofenergy and this means that the probability of scattering is decreased and it is finally reflected on the buildup calculation, since the scattering plays an important role in determination of buildup factor.The rate of increase in the value of dose buildup factor in lead (Z = 82) higher than iron (Z = 26), and the last is more than that for aluminium (Z = 13). This is due to the effect of pair production interaction which is directly proportional with the square of atomic number.Dose buildup factor in the presence of pair production is higher than dose buildup factor in the absence of pair production effect. The deviation between the values of dose buildup factor in the presence and absence pair production is increased when the energy is increased within the studied energy; this mainly due to the increase of cross section for pair production values within the studied energy range.

دراسة الخصائص النووية التركبية والانتقالات الكهرومغناطيسية لانوية Kr ، Xe ، Nd ، Ge الزوجية - الزوجية باستخدام نموذج البوزونات المتفاعلة == Study of Nuclear Structure Properties and Electromagnetic Transitions for even - even Kr , Xe , Nd , Ge Nuclei in the Framework of Interacting Boson Model

Author name: عبد القادر سعد عبد القادر
Supervisor name: سعد ناجي عبود
General topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: لقد تم في هذا البحث دراسة التركيب النووي والانتقالات الكهرومغناطيسية لبعض النظائر (الزوجية - الزوجية ) Nd , Xe , Kr وGe باستخدام النموذج الجماعي ( نموذج البوزونات المتفاعلة الثاني IBM - 2 ) . تم الحصول على نتائج لمستويات الطاقة، والانتقالات الكهربائية B(E2) , الانتقالات المغناطيسية B(M1) , ونسبة الخلط (E2/M1) ، وعزم رباعي القطب الكهربائي ، وعزم ثنائي القطب المغناطيسي ، والانتقالات احادية القطب . ولقد تم مقارنة النتائج مع القيم العملية المتوفرة وقد وجد انها متقاربة ومقبولة . ان نظائر ال Kr (Z=36 ) تقع في المنطقة الانتقالية القريبة من التحديد الاهتزازي. ولقد تم حساب مستويات الطاقة B(E2) ، B(M1) ، (E2/M1) وX(E0/E2) لبعض الانتقالات المختارة باستخدام نموذج البوزونات المتفاعلة الثاني (IBM - 2) وان جميع النتائج قد قورنت مع القيم العملية. لقد كان لمعاملات ماجيرونا اثرا كبيرا في حساب مستويات الطاقة , , , التي حددت انها تمتلك صفات تناظر مختلطة . لقد تم مقارنة نتائج نظائر Xe التي تم الحصول عليها من نموذج IBM - 2 مع التوقعات النظرية لتماثل النقطة الحرجةE(5) . وتبين ان 128Xe هو ليس نظير يقع ضمن E(5) كما اقترح مسبقا . لذا فان نسبة الطاقة لنظير ال Xe128 ( ) تقع بين E(5) وحدود - softγ . وبذلك فحسب هذه النسبة فان 128Xe يجب ان يقع بين E(5) وO(6). غالبا ما يكون اختبار 130Xe مناسب لنظائر Xe ، والذي يظهر خصائص E(5) بافضل حالته. كذلك فان مستويات الطاقة تعزز وجود هذا النظير ضمن E(5) . اما بالنسبة لنظائر 132Xe و134Xe فانها تظهر صفات مشابهة للمحدد الاهتزازي SU(5) . ان مستويات التناظر المختلطة قد تم التعريف عليها من نظائر Xe وهذا قد مكننا من تعقب تحرير فونون واحد لحالة في سلسلة النظائر ( الزوجية - الزوجية ) للزنون من الاهتزازات القريبة من N=82 الى نواة - softγ باتجاه منتصف القشرة . لقد درسنا الخصائص النووية لنظائرNd (A=144 - 154) في IBM - 2 وتم الحصول على نتائج جيدة مقارنة بالقيم العملية . 144 - 150Nd يقع في المنطقة الانتقالية ( الاهتزازي - الدوراني ) SU(5)→SU(3) .بينما نظائر 152 - 154Nd فانها تقع ضمن التحديد الدوراني (SU(3)) . ان X(5) سوف ياخذ مكان او حيز عندما يستمر بحركته بين تناظر U(5) الى تناظر ال SU(3) ويظهر ذلك بصورة واضحة ما بين مستويات الطاقة وقوى الانتقال رباعي القطب E2 . لقد وجد حديثا ان سلسلة نظائر Nd تشير الى الانتقالات الطورية كما ان نظير Nd150 يعرضا الخواص المتوقعة ل X(5) . على العموم فان هناك عدة دراسات مفصلة بحاجة للحصول على تلك المؤشرات . وبالنهاية نستنتج بان بعض نظائر Nd تكتشف خواص X(5) . ان , هي حالات تناظر مختلطة لنظائر Nd ان نموذج البوزونات المتفاعلة IBM - 2 كان ناجحا بوصفه للخواص التجميعية للنواة . وفي هذا البحث قد تم الاهتمام بالتطبيقات النظامية والمتضمنة اشكال البوزونات المختلطة.ان النظائر الجرمانيوم ( الزوجية - الزوجية ) لها اهتمام خاص بسبب وجودها ضمن مجموعتين من الحزم ذات الخواص المعقدة للنواة الخفيفة . ان نموذج البوزونات المتفاعلة IBM - 2 مع التركيبات المختلطة يجهز توصيف جيد لكلا الحالات المبينة بالمستوى الارضي وللبروتونات الموجودة بالمستوى المتهيج عبر غلاف القشرة Z =28 المغلق . لقد تم دراسة نظائر الجرمانيوم وتبين انه يتدرج مابين وسط قشرة البروتون والقشرة المزدوجة القريبة من المغلقة عند ال 82Ge . ولقد وجد ان نظائر الجرمانيوم عند التشكيل Nπ=2 تاخذ الشكل الاهتزازي وعند التشكيل Nπ= 4 تاخذ الشكل الدوراني ( ويزداد التشوه) . وفي هذا العمل استخدمت طرق حديثة جدا لتعيين الشحنات الفعلية (effective charge) للبوزونات وذلك باستخدام القيم العملية للانتقال رباعي القطب (0_1^+ 2_1^+ B(E2; وكذلك استخدمت طرق جديدة لحساب المعاملات الجيرو مغناطيسية للبوزونات gυ ، gπ وذلك بمعايرتها الى القيم العملية لـ B(M1) وδ (E2/M1) . | Nuclear structure Properties and electromagnetic transitions of some even - even Kr, Xe, Nd and Ge isotopes have been studied in this work, by using the collective Interacting Boson Model - 2 (IBM - 2). The Interacting Boson Model (IBM - 2) has been very successful in describing the collective properties of nuclei. This work concerns a systematic applications of the model, involving configuration mixing of bosons.There have been extensive IBM studies of low - lying positive parity bands, which are based on the ground state and the quadrupole degree of freedom. The results for energy levels, B(E2), B(M1), mixing ratios , quadrupole and magnetic dipole moments and monopole transitions, were compared with some previous experimental and theoretical values. It was found that an acceptable degree of agreement between the predictions of the IBM - 2 and the experiment can be achieved. The Kr isotope (Z = 36) lies in the transitional region closer to the vibrational range of nuclei. Energy , levels B(E2), B(M1) and the mixing ratios δ(E2/M1) and X(E0/E2) for selected transitions in this isotope were calculated in the framework of the interacting boson model (IBM - 2). All results were compared with experimental data. Some experimental X(E0/E2) ratios were calculated from available experimental data. Majorana parameters were found to have a great effect on the calculated energy levels of the , , and states which indicates they have mixed symmetry properties. The results of IBM - 2 for Xe isotopes were compared with the theoretical predictions assuming a critical point symmetry E(5) which leads to conclude that 128Xe is not an E(5) isotope as previously suggested. In this case of the 128Xe the observable is intermediate between the value for E(5) and gamma soft limit . The ratio suggests that 128Xe should lie between E(5) and O(6). Similar test using 130Xe as a most likely candidate amongst the Xe isotopes, conclusively demonstrate a how well E(5) is realized in the best case. The energy ratio confirmed that this isotope an E(5) critical point symmetry. The 132Xe and 134Xe show vibrational - like character (SU(5) limit). Mixed symmetry states are also studied. It is found that some of the mixed symmetry states with moderate high spins change very fast with respect to the Majorana interaction. Under certain conditions, they become the yrast state or yrare state. These states are difficult to decay and become very stable. This study suggests that a possible new mode of isomers may exist due to the special nature in their proton and neutron degrees of freedom for these isotopes. The mixed - symmetry states or at least a fragment of it have been identified in Xe isotopes. This enables us to trace the evolution of the one - phonon states in the even - even xenon isotopic chain from the vibrators near N = 82 to the γ - soft nuclei towards mid - shell. We have studied the nuclear properties of Neodymium isotopes with (A =144 - 154) in IBM - 2. A good agreement results with the experimental data. 144 - 150Nd lie in the transitional region (virational - rotational limit SU(5)→SU(3)). For the 152 - 154Nd isotopes the energy ratio are well described by the rotational limit SU(3). The X(5) symmetry would take place when moving continuously from the pure U(5) symmetry to the SU(3) symmetry and it implies a definite relations among the level energies and among the E2 transition strengths. It was recently shown that a signature of phase transition is observed in the chain of Nd isotopes, 150Nd display the predicted features of the X(5) symmetry and mark therefore the critical point. However, more detailed studies and experiments are needed to get ideas about this signature. At the end, we have concluded that some of Nd isotopes display X(5) symmetry features. The and are mixed symmetry states in Nd isotopes. The even - even isotopes of germanium are of special interest because of the coexistence of two sets of bands, of very different character, in the lighter nuclei. The IBM - 2 with configuration mixing provides a good description, both of states built on the normal ground state and of those associated with a proton pair excitation across the Z =28 closed - shell gap. Ge isotopes are studied, ranging from the middle of the neutron shell to very near the doubly closed shell at 82Ge. Same Hamiltonian is used for all the nuclei studied, with parameters which are constant or smoothly varying

تخمين معاملات زيوغ العدسه المغناطيسية باستخدام الحل التحليلي لمعاده المسار القريب من المحور == Magnetic Lens Aberration Coefficients Estimation by Using the Analytical Solution for the Paraxial Ray Equation

Author name: رشا يوسف حمد
Supervisor name: عدي علي حسين | خالد عباس يحيى
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: اجريت دراسة نظريه باستخدام الصيغه التحليلية لمعادله المسار شبه المحوري للالكترون وذلك لتحديد افضل الخواص البصريه للعدسة المغناطيسية. تم دراسهة معاملات الزيوغ كمعاملات الزيوغ الكروية, اللونيه, التشويه القطري واللولبي. اعتمد في هذا البحث انموذج الشكل الناقوسي لكلاسر لتمثيل توزيع المجال المحوري للعدسة المغناطيسية. وقد اخذ بنظر الاعتبار حالتين للزخم الابتدائي في الحسابات بوجوده او عدم وجوده في الحالتين. ان الوصول الى امثل النتائج قد انجز من خلال تغير بعض المعاملات المؤثرة مثل نصف العرض عند نصف الحد الاقصى(a= 2.01, 2.02, 2.03 and 2.04 mm), والحد الاعلى لكثافة الفيض المغناطيسي (Bm= 0.001, 0.002, 0.003 and 0.004 Tesla) وزاوية انبعاث الالكترون (0.2, 0.4, 0.5 and 0.6 rad= θ).من خلال النتائج تبين ان افضل قيم a تساوي 2.04 mm في حاله وجود او عدم وجود الزخم الابتدائي في الحسابات. وقد وجد ايضا ان كل من قيم الزيغ الكروي, اللوني والتشويه اللولبي يقل بزيادة a, بينما اقل قيم للزيغ الكروي والتشويه القطري في الحاله الاولى عندBm يساوي 0.004 Tesla.ووجد ايضا ان افضل الزوايا للالكترون (θ = 0.2 rad) وهي تتناسب طرديا مع معاملات الزيغ اللوني والتشويه اللولبي.ومن جهة اخرى تبين ان الزيغ الكروي والتشويه القطري له قيم سالبه وهذه المعاملات ممكن استخدامها كمصحح في المنظومات البصرية. | A theoretical investigation is carried out by using an analytical expression for paraxial trajectory of an electron in a magnetic lens to estimate the optimum properties of the magnetic lens. The aberration coefficients of the magnetic lens are studied, such as the spherical, chromatic, radial distortion and spiral distortion aberration coefficients. The Glaser's bell - shaped model is adopted to represent the axial field distribution of magnetic lens. The initial momentum of the electrons is taken into account, where the calculations are made for two cases : when the electrons have zero and non - zero initial momentum values . The optimization role is achieved by changes some of the effective parameters at the range of the half - width at half maximum (a = 2.01, 2.02, 2.03 and 2.04 mm), the maximum magnetic flux density (Bm = 0.001, 0.002, 0.003 and 0.004 Tesla) and the electron emission angle (θ = 0.2, 0.4, 0.5 and 0.6 rad). In the present results the optimum values for both cases of the initial momentum is found at the half - width at half maximum equal to 2.04 mm, and the values of the spherical, chromatic and spiral distortion aberration coefficients decreased as the half - width at half maximum (a) increased, while the minimum values of the spherical and radial distortion aberration coefficients are found at Bm = 0.004 Tesla in the first case. However the best angle is found at θ = 0.2 rad which is directly proportional which chromatic and spiral distortion aberration coefficients. On the other hand the calculations appeared that the negative values for both spherical and radial distortion aberration coefficients are estimated and these coefficients can be used as corrector in the optical systems.

محاكاة حاسوبية لجهاز صوتي بصري لنظام فوتوني == COMPUTER SIMULATION OF AN ACOUSTO - OPTICAL DEVICE FOR PHOTONIC SYSTEM

Author name: مروة كمال مصطفى
Supervisor name: اياد عبد العزيز العاني | احمد كمال احمد
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Acousto - optics science deals with the interaction between sound and light waves. Acousto - optic waves are most important in transferring signals through the communication systems, since modulating signals takes a great advantages in the field of communication engineering, bio - medical, laser beam deflection and laser intensity modulation.The aim of this work is to simulate the fundamentals of an Acousto - Optic Modulator. The simulation procedure is based on theoretical and computational relationships describing acousto - optic properties for three selected materials which are “Glass, Germanium, and Tellurium - Oxide”. Two computer programs have been written using “MATLAB” software, the first used to verify the normalized intensity of the diffracted orders versus peak phase delay using partial differential equation, while the second program is used to study the normalized intensity of the electric field versus time wave propagation and electro - magnetic wave propagation in x, y and z directions, using Finite Difference Time Domain. The results for Glass and Tellurium - Oxide materials shows that the periodic exchange of the normalized intensity between the zero and first orders becomes smaller as the interaction length D increase, this indicate that the higher orders may appear very clear in these materials. The results for the Glass material show that the normalized intensity of the electric field increases with increasing electromagnetic wave propagation in x, y and z directions.

ضغط الصوت باستخدام الكسوريات == Fractal Audio Compression

Author name: وسام فوزي جاسم محمد
Supervisor name: لؤي ادور جورج | ليث عبد العزيز العاني
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: لقد استحدثت طرق ضغط عديدة باستخدام تقنيات مختلفة الغرض منها تحقيق نسب ضغط عالية مع المحافظة على جودة الصوت المضغوط, مع الاخذ بنظر الاعتبار انجاز الضغط باقل وقت ممكن.طريقة الضغط الكسوري هي احدى هذه الطرق التي يرافقها ضياع بالبيانات وتعتبر من طرق الضغط الحديثة وتعتمد على عملية ايجاد مجاميع محددة وصغيرة من المعادلات الرياضية التي تصف الاشارة . بارسال معاملات هذه المعادلات الى محلل الشفرة يمكن اعادة تشكيل الاشارة الاصلية.بايجاز ضغط الصوت الكسوري يعتمد على مبدا نظام التكرار المجزئPIFS) ). ضغط الصوت الكسوري يستغل ال(Affine redundancy) والتي تتواجد في الصوت, هذه ال (redundancy) ترتبط بالتشابه الذاتي للصوت.بكلمة اخرى ضغط الصوت الكسوري يقوم بايجادالا نماط المتشابهة والتي تتواجد بقياسات مختلفة(different scales) واماكن مختلفة(different places) في الصوت, وبعد ذللك يقوم بحذف اكثر ما يمكن من ال(redundancy).هذا البحث يهدف الى محاولة التحقق من امكانية تطبيق الضغط الكسوري في عملية ضغط الصوت. النظام المعتمد يتكون من مرحلتين : المرحلة الاولى مرحلة التشفير(Encoding Unit) والثانية مرحلة فك التشفير ) .(Decoding Unitفي مرحلة التشفير يجزا الصوت الاصلي الى نوعين من الكتل, كتل تدعى كتل المجال المقابل ((Range Pool وهي كتل غير متداخلة, وكتل تدعى كتل المجال (Domain Pool) والتي من الممكن ان تكون متداخلة. ومن ثم يتم تقطيع الصوت باستخدام طريقة التقطيع المتساوي للكتل الى كتل متساوية الحجم. بعد ذلك يتم ايجاد افضل كتل في المجال لكل كتلة في المجال المقابل وذلك بتطبيق احد انواع التحويلات وتدعى((Affine Transformation .تنتهي مرحلة التشفير بخزن تفاصيل (معاملات )هذه التحويلات لكل كتلة من كتل المجال المقابل .ان عملية ايجاد الكتل المتشابهة تتطلب عمليات حسابية معقدة تستغرق وقت طويل وهذا ما يؤخذ على طريقة الضغط الكسوري كنقطة ضعف.ان البرامجيات التي تم بناؤها لهذا الغرض تم اختبارها باستخدام خمسة نماذج لبيانات صوتية. لقد تم تنفيذ النظام المعتمد باستخدام فيجوال بيسك6.0 كلغة برمجة, تم استخدام معدل الخطا التربيعي((MSE ونسبة الاشارة الى التشويش((PSNR كمعاملات حساب دقة النتائج المستخلصة من التقنية الكلية في النظام المعتمد.و كانت بعض النتائج المستخلصة من البحث هي بالنسبة للعينة الاولى في حالة حجم الكتلة تساوي (60 ) فان نسبة الضغط (15.51 : 1), اما العينة الثانية في حالة حجم الكتلة تساوي (40) فان نسبة الضغط (11.51 : 1), وفي حالة حجم كتلة صغيرة كما في العينة الثالثة والتي تساوي (20) فان قيمة ال(PSNR) جيدة وتساوي (35.76 dB), وكذالك للعينة الاولى في حالة حجم الكتلة تساوي (10) فان قيمة ال(PSNR) تساوي (45.63 dB). | Fractal audio compression is based on the concept of a partitioned iterated function system (PIFS). Fractal audio compression exploits the affine redundancy that is commonly present in audio; this redundancy is related to the similarity of an audio with itself. In other words, fractal audio compression finds similar patterns that exist in different scales and different places in audio, and then eliminates as much redundancy as possible. In this work the possibility of implementing fractal audio compression is investigated. The implemented system consists of two major units; the first is the Encoding unit and the second is the Decoding unit. Encoding is done by partitioning the range pool (which is the original audio) into non - overlapping blocks, called range blocks, and partitioning the domain pool (which is the result of the original audio after down sampling) into overlapped blocks with the same size of range blocks called domain blocks. A fixed size - partitioning scheme is used to partition the domain pool and the range pool. After generating the range and domain pools, for every range block, the best - matching domain block in the domain pool is searched for by performing a set of affine transformations on them. Thus the encoding is completed by saving the optimal affine parameters for every range block. The Decoding process can be done by repeatedly applying the affine transformation on an initially blank audio and its subsequent reconstructed audio, until it completely reconstruct an approximate wave to the original audio. The time required to compress an audio file is affected by the size of each block being extracted from the proceed audio file; this means smaller block size implies longer time required to compress the corresponding audio file.The implemented system was tested using five wave samples of data. The proposed work was implemented by using Visual Basic (6.0) as a programming language, the fidelity measure MSE and PSNR were used to check the results of the whole implemented technique. The best results obtained from the implemented system were for the test (sample - 1) in case were block size equal to (60) the compression ratio is (15.51 : 1), also for test (sample - 2) were block size equal to (40) the compression ratio is (11.03 : 1), and for small block size as in test (sample - 3) were the block size is (20) the value of the PSNR is good that its equal to (35.76 dB), also for test sample - 1 when the block size is (10) the PSNR value (45.63 dB).

معالجة رياضية لدراسة تغير التركيب المسامي مع ظروف التشكيل للمواد المسامية == Mathematical Manipulation to Study the Changes of Porous Structure with the Formation Conditions of Porous Materials

Author name: سديم عباس فاضل القصاب
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: تم تطوير نموذج مجسم يصف عملية االتكثيف خلال عملية الحرق الزجاجي (التزجيج) لمادة تحتوي على محتويات صلبة. هذا النموذج تم تطويرة من نموذج سابق للباحث Scherer والذي وضع نموذج يصف عملية التكثيف خلال عملية الحرق لمادة لا تحتوي على محتويات صلبة.النموذج المطور استخدم لمحاكاة معدل التكثيف خلال عملية الحرق لمواد سيراميكية غير متجانسة تتكون من خليط من بعض الاطيان العراقية والتي تم تحضيرها من بحث سابق. النموذج المطور تم استخدامة لدراسة تاثير عدة عوامل على عملية التكثيف خلال عملية الحرق وهي درجة حرارة الحرق، زمن الحرق والنسبة بين حجم المواد الصلبة الى حجم السائل الزجاجي، كما استخدم النموذج المطور في تقدير قيم اللزوجة الفعالة للسائل الزجاجي المتكون خلال عملية الحرق. كذلك تم تطبيق نموذجان اخران للمواد غير المتجانسة هما نموذج الكرة المركبة ونموذج المكون الذاتي وجرى استخدامهما لدراسة تاثير درجة حرارة الحرق وزمن الحرق على عملية االتكثيف لغرض مقارنة النتائج من هذين النموذجين مع نتائج النموذج المطور. كذلك تم استخدام النموذج المطور لدراسة تاثيرتوزيع حجوم المسامات على عملية التكثيف وذلك بفرض توزيع كاوس لحجوم المسامات واعادة صياغة المعادلات للموديل المطور لجعلها تعتمد على الانحراف المعياري لتوزيع حجوم المسامات. العوامل الفيزيائية مثل اللزوجة تم حسابها من خلال عملية المطابقة (fitting ( للنتائج العملية لعملية الحرق للنماذج. تم تصميم برامج حاسوبية بلغة ( (FORTRAN 90لدراسة تاثير درجة حرارة الحرق على عملية االتكثيف باستخدام النموذج المطور، نموذج الكرة المركبة ونموذج المكون الذاتي. هذة البرامج تم تحويرها فيما بعد لمحاكاة عملية االتكثيف كدالة لزمن الحرق. كذلك برنامج اخر تم تصميمة لدراسة تاثيرتوزيع حجوم المسامات على عملية التكثيف خلال عملية الحرق باستخدام النموذج المطور. النتائج من برنامج الموديل المطور تحقق افضل مقاربة للنتائج العملية تليها النتائج من برنامج موديل الكرة المركبة. النتائج من برنامج تاثيردرجة حرارة الحرق تشير عموما" الى زيادة معدل االتكثيف مع زيادة درجة حرارة الحرق، رغم ذلك، عندما تكون نسبة المواد الصلبة عالية نسبيا" فاءن اللزوجة تزداد عند الدرجات الحرارية العالية (حوالي 1400سo ) يعزى ذلك الى عملية نمو بلوري محتملة، وعلية يؤدي ذلك الى نقصان معدل االتكثيف. النتائج من برنامج تاثير زمن الحرق تشيرالى ان النموذج المطوريتنبا بزيادة شبة لوغارتمية للكثافة النسبية مع الزمن، بينما يتنبا النموذجان الاخران ( نموذج الكرة المركبة ونموذج المكون الذاتي) بزيادة اسية للكثافة النسبية مع الزمن. النتائج من البحوث السابقة تتفق مع توقع النموذج المطور. النتائج من برنامج تاثيرتوزيع حجوم المسامات على عملية التكثيف تدل على ان هذا العامل لة تاثير قوي عندما يكون التوزيع عريضا" فقط على المراحل النهائية لعملية التكثيف لان المسامات الكبيرة غلقها بطىء نسبيا". | A mathematical model describing the densification process during viscous sintering process of a material contains solid inclusions is developed (modified) from a Scherer model which describes the rate of densification during sintering for a free solid inclusions material. The modified model is used to simulate the rate of densification during sintering process for ceramic heterogeneous materials consist from mixtures of some Iraqi clays that had been prepared in a previous work. In addition the modified model is used to study the effect of several factors on densification during sintering process and used in predicting the effective viscosity of the viscous phase that formed during sintering. The factors are the sintering temperature, sintering time, and the ratio of solid inclusions volume to viscous phase volume.Another two heterogeneous models which are the composite sphere and the self consistent models are also applied and used to study the effect of sintering temperature and sintering time on densification during sintering for comparison with the present developed model.The modified model is also used to study the effect of pore size distribution on densification process by assuming a Gaussian distribution for the pore sizes and reformulating the equations of the modified model to make them depend on the standard deviation of pore size distribution.The physical parameters like viscosity are computed from the fitting process of the practical data of the samples.Computer programs in FORTRAN 90 language are designed to study the effect of sintering temperature on densification process using the developed model, the composite sphere and the self consistent models. These programs are modified to simulate the densification process versus time duration of the sintering process. Another program is designed to study the effect of pore size distribution on sintering process using the developed model. The results from the developed (modified) Scherer model are better fit the practical data, then the composite sphere model. The results from the program of the effect of sintering temperature indicates in general that the rate of densification is increased with increasing sintering temperature, this is due to the decrease in the viscosity with temperature increasing. However, when the ratio of the solid inclusions is high the viscosity is increased at relatively high sintering temperatures (about 1400oC) this increase in viscosity may be due to induced crystallization processes, accordingly the rate of densification is decreased at these circumstances.The results from the program of the effect of sintering time indicate that the modified model predicts that the increase in density is semi logarithmic with time, while the other two models predict an exponential increase with time. The results from the program of the effect of pore size distribution indicate that this parameter has a strong effect if the distribution is broad only in the last stages of densification because the largest pores are relatively slow to close

دراسة تاثير المحاليل الالكتروليتيه على خواص العزليه الكهربائية للبورسلين المشكل من مواد محليه == A STUDY OF THE EFFECT OF ELECTROLYTE SOLUTION ON THE PROPERTIES OF ELECTRICAL INSULATOR PORCELAIN FORMED USING LOCAL MATERIAL

Author name: عتاب فاضل حسين
Supervisor name: فاضل عبد رسن | ازهار جواد داوود
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: يهدف البحث الى دراسه تاثير المحلول الالكتروليتي ونسب تركيزه على الخواص الكهربائية والفيزيائية لجسم البورسليني الذي تم تحضيره باستخدام مواد محليه عراقيه. تم تشكيل الجسم بور سليني من كاؤلين دويخله،رمل زجاج ارضمه، فلدسبار وبنسب وزنيه (45 %, 30% , 25%) على التوالي. ولقد اجريت معامله كيميائية لكل من الكاؤلين والسليكا بهدف تنقيتها من الشوائب التي يمكن ان تذوب بحامض الهيدروكلوريك حيث تمت دراسة التغيرات الحاصلة من خلال تحاليل . IR قسمت الدراسة الى سبعه مجاميع محضره من هذه المواد طبقا لنسب المضافة من المحلول الالكتروليتي المحضر من (NaCO3+NaSiO3) وبنسبه (2 : 1) ان نسب اضافات المحلول الالكتروليتي هي 0.7%,1%) ,0.5% 0.2% , 0.1%) حيث ثبت نوع ونسبه الماده المعدنه في تشكيل الجسم البورسليني وهي او كسيد الزنكZnO وبنسبه (.(2% تم تشكيل مكبوسات من هذه الخلطات وبعد التجفيف تم حرقها لدرجات حرارة مختلفة1350oC) (1250, 1300 اجريت القياسات العزليه الكهربائية (ثابت العزل ومعامل الفقدان العزلي) وكذلك التوصليه الحرارية وقابليه الانضغاط. ان النتائج المتحققة لنماذج المحروقه بدرجه 1350oC ا بد ت نمط من ثبوت قيم العزليه الكهربائيه عند حدود معينه من تراكيز المحلول الالكتروليتي المضاف لمكونات الجسم البورسليني ضمن مدى((0.2 - 0.1% , في حين هنالك تغير في قيم التوصليه الحراريه ضمن مدى (0.2 - 0.5%) من تركيز المحلول الالكتروليتي. وان قابليه الانضغاط تكون عاليه عند حدود (0.5%) من تركيز المحلول الالكتروليتي لنفس المكونات،وبالتالي يتطلب اعتماد مفاضلة في الخواص وحدودها لاختيار افضل تركيز المحلول الالكتروليتي بما يوفر توافق نتائج الخواص العملية مع الخواص الصناعية القياسية المتحققة على منتجات محضره من مواد بلدان اخرى ومعتمدة لديهم ، لقد تم اعتبار ان افضل تركيز يتوافق مع الخواص العزليه الكهربائية وكذلك التوصليه الحرارية والميكانيكية هو (0.2%) كما اشاره اليه النتائج. | This study was carried out to prepare a porcelain samples, which can be used as an electrical insulator. The raw materials used for the preparation are kaolin Duakhla, Arudhma Sand glass and Potash feldspar with weight percentage (45%, 30%, 25%) respectively. A chemical treatment was performed on kaolin Duakhla, Arudhma Sand glass to remove all the impurities. The effect of the washing by HCl acid (chemical treatment) was examined by IR Tech. The study divided into seven groups. Relating to the concentration of electrolyte solution which is consisting of (NaCO3 & NaSiO3) as a ratio (2 : 1), and for fixed percentage of mineralizer (2%ZnO). The concentrations of electrolyte which were added to these groups are (1%, 0.7%, 0.5%, 0.2%, and 0.1%). Samples of each group have been prepared, and then each sample was pressed, then after that these samples are dried and sintered for different temperatures (1250, 1300, 1350 oC). Dielectric measurement (Dielectric Constant& Dielectric loss index) were carried out for these pressed samples, also Physical properties “Thermal conductivity” and mechanical properties “Compression strength” were measured for these samples. The results of these measurements for samples sintered at 1350oC are found to have a stable change at the range (0.1 - 0.2%) of concentration of electrolyte solution. While there is a change in the results of thermal conductivity in the concentration range (0.2 - 0.5%) of electrolyte solution. And the values of compression strength is found to be high at 0.5% concentration of electrolyte solution. Therefore we should select the best concentration of electrolyte solution, to get the optimum properties which would agree with practical results and the standard properties for the attentive in other countries of the world. Then, can regarde the (0.2%) concentration of electrolyte solution is the optimum value that can be used in the industry of the electrical insulators

دراسة النشاط الاشعاعي الطبيعي للمخلفات النفطية == A study of the natural radioactivity of thepetroleum waste

Author name: عصام محمد رشيد درويش
Supervisor name: ندى فاضل توفيق | كريم خلف محمد
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The aim of this study is to detect the radioactivity of radionuclides and measure the specific activities and the uranium concentration in (30) samples of crude oil and oil waste were brought from three oil locations Dora refinery, Bijie refinery, and north field of al - Rumaila. The measurements in this study were done by using two techniques : 1 - Gamma rays spectroscopy system was used to measure the specific activity for radionuclides. This system is consist of high purity of germanium detector (HPGe) with personal computer as multi channel analyzer (MCA) that computerized to plot the radioactive spectrum and compute the specific activities of the radionuclides. There are seven radionuclides are detected : (Bi - 214, Ra - 226, TI - 208, Bi - 212, Pb - 212, K - 40, and Cs - 137), these radionuclides included; two radionuclides (Bi - 214,Ra - 226) belong to the U - 238 series, three radionuclides (TI - 208, Bi - 212, Pb - 212) belong to Th - 232series, one natural radionuclide (K - 40), and one artificial radionuclide (Cs - 137).For Dora refinery samples, the averages of specific activities of (Bi - 214, Ra - 226) were (7.79, 16.08) Bq/kg respectively, the averages of specific activities of (TI - 208, Bi - 212, Pb - 212) were (7.95,4.05,5.75) Bq/kg , the average of specific activities of (Cs - 137) was (0.64) Bq/kg , the average of specific activities of (K - 40) was (99.3) Bq/kg. For Bijie refinery samples, the average of specific activities of (Bi - 214)was (0.39) Bq/kg, the averages specific activities of (Bi - 212, Pb - 212)were (0.02,0.01) Bq/kg, the average of specific activities of (K - 40) was(2.28) Bq/kg , and three radionuclides (Ra - 226, TI - 208, and Cs - 137) werenot appeared in Bijie samples.2 - solid state nuclear track detectors technique (SSNTDs), the uraniumconcentration determined by using CR - 39 track detector and fissionfragment track technique, the nuclear reaction used as source of uraniumfission fragment is U - 235 (n - f) obtained by the bombardment of U - 235with thermal neutrons emitted from (Am - Be) neutron source with flux(5000 n/cm2.s) for seven days, the concentration were calculated bycomparison with the standard samples.The uranium concentration in Dora refinery samples were rangedbetween (0.95 - 3.34) ppm with average (2.03) ppm for solid samples and(1.25) ppm for liquid samples.The uranium concentration in Bijie refinery samples were ranged from(0.42 - 1.46) ppm with average (0.55) ppm in the solid samples and (1.24) ppm in the liquid samples.The uranium concentration in the north field of al - Rumaila samples were ranged between (1.78 - 6.35) ppm with average (3.37) ppm.From above results, we concluded that the maximum of uranium concentration was found in the north field of al - Rumaila in Basrah governorate, these results are agreement with the permissible limit from IAEA. The maximum of external equivalent dose rate from NORM in oil waste was found in the north field of al - Rumaila was (0.30) mSv/y less than the permissible limit from IAEA which is (1) mSv/y for the public.

حسابات عن الخواص البصريه لعدسه رباعيه الاقطاب كهروسكونيه ثلاثيه == COMPUTATIONS ON THE OPTICAL PROPERTIES OF A TRIPLET ELECTROSTATIC QUADRUPOLE LENS

Author name: اسراء لطيف محمد العميري
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: استعانه بطريقة المصفوفات الانتقاليه والحاسوب الشخصي فقد اجري بحث حاسوبي عن خواص نموذج مستطيلي يمثل المجال المحوري لعدسه ثلاثية كهروسكونيه رباعية الاقطاب، ان مسار حزمة الجسيمات المشحونه الماره خلال المجالات المستطيلية قد تم ايجاده بحل معادلة مسار الحركه بالاحداثيات الكارتيزيه اذ كتب برنامج حاسوبي لهذا الغرض. لقد حسبت الخواص البصريه للعدسة الثلاثية الكهروسكونيه بالاستعانه بمسار الحزمه على امتداد محور العدسه. وكتبت برامج حاسوبيه بفورتران ٧٧ لايجاد مختلف الخواص البصريه. وتم تركيز الحسابات على ايجاد الابعاد البؤرية ومعاملات الزيوغ الكروية في كلا المستويين الافقي والعمودي للمسار على امتداد المحور البصري. وقد اظهرت النتائج ان اختيار المعلمات الهندسية والتشغيلية يعتمد على وظيفة العدسه الثلاثية الكهروسكونية الرباعية الاقطاب في منظومة بصريه الكترونيه او ايونيه معينة.

دراسة الخواص الحراريه للاغشيه الرقيقه الذكيه نوع نيكل - تيتانيوم == Study of Thermal Properties of NiTi Thin Film Shape Memory Alloy

Author name: هديل ثامر خضير
Supervisor name: عماد خضير الشكرجي
General topic: Physics
Specific topic: Physics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: سبائك ذاكرة الشكل (SMA) shape memory alloyاو ما يسمى بالمواد الذكيه هي نوع من السبائك المعدنيه التي تعاني تحولات طور من الاوستنايت الى المارتنسايت عند تعرضها الى حراره او اجهاد كافي للتحول ولها القدره على الرجوع الى نفس حالة الشبيكه قبل التحول عند زوال المؤثر .لقد تم التركيز في هذه الدراسه على الخواص الحراريه كمحاوله لفهم التصرف الذي يحدث في الغشاء الرقيق والذي يتمثل بكسر شريحة الفلم عند تسليط قيمه معينه من الفولطيه والتيار وعند قيمه معينه من حرارة الاساس . وقد اخترنا دراسة غشاء NiTi لان له دور مهم في التطبيقات الطبيه والصناعيه .لقد تم حساب التوصيل الحراري والسعه الحراريه لغشاء NiTi نظـريا وكذلك تم حساب التوصيل الحراري والسعه الحراريه للزجاج المستخدم كاساس للغشاء عمليا وبعدها تمت مقارنة نتاءج هذه الحسابات للغشاء والزجاج وتفسير سبب الكسر في شريحة الغشاء والذي تبين انه يحدث في الزجاج نتيجة للفرق الكبير في الخواص الحراريه بين الغشاء والزجاج وهذا بسبب عدم تحمل الزجاج للطاقه الحراريه العاليه الناتجه خلال عملية تحول الطور بين الاوستنايت والمارتنسايت في الغشاء الرقيق والتي تسلط على الشريحة الزجاجيه للغشاء. | Shape memory alloys (SMA) or intelligent material, which are also called smart material, are a group of metallic alloys that undergo phase transformation from Austenite to Martensite when heated or subjected to appropriate stresses. After cooling or removing the stress, they have the ability to remember their previous structure and return to it.The concern of this study is on the thermal properties of NiTi thin film and its substrate as an attempt to understand the behavior occurring in the thin film slide represented by breaking it at certain values of voltage, current and substrate temperature (Ts). We have selected NiTi alloy because of its important medical and industrial applications. Thermal conductivity and heat capacity of NiTi thin film have been calculated theoretically and the thermal conductivity and heat capacity of glass substrate are measured experimentally. The cause of breaking in the thin film slide is the result of large difference in the thermal properties represented by thermal conductivity and heat capacity between the NiTi thin film and glass substrate. This is because the glass can not bear the high amount of heating energy resulting during the phase transformation process between Austenite and Martensite which exerts on the thin film slide

دراسة التحولات الطورية والنقاط الحرجة في منطقة العناصر الارضية النادرة ضمن اطار نموذج البوزونات المتفاعلة IBM - 1 == STUDY OF PHASE TRANSITIONS AND CRITICAL POINTS IN THE REARE EARTH REGION IN THE FRAMEWORK OF INTERACTING BOSOM MODEL (IBM - 1

Author name: فؤاد عطية مجيد العجيلي
General topic: Physics
Specific topic: Physics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: A systematic study of isotope chains in the rare - earth region is presented. For the chains 144, , , and 150, energy levels, E2 transition rates, and two - neutron separation energies (SNd15460−Sm16014662−Gd16214864−Dy16666−2n) are described by using the most general (up to two - body terms) IBM - 1 Hamiltonian. For each isotope chain a general fit is performed in such a way that all parameters but one are kept fixed to describe the whole chain.In this region, nuclei evolve from spherical to deformed shapes and a method based on catastrophe theory, in combination with a coherent state analysis to generate the IBM - 1 energy surfaces, is used to identify critical phase transition points.The approach used to fix the Hamiltonian parameters leads to a very good global agreement with the recent available experimental data corresponding to excitation energies, B(E2)’s and S2n values. In particular, an excellent agreement with the measured S2n values is obtained, which is considered a key observable to locate phase transitional regions. The analysis presented here is consistent with previous CQF studies in the same region. As a result we find that 148Nd and 150Sm are the best candidates to be critical, but we should remark that 150Nd and 152Sm are not far away from it.

حسابات الامثليه لمنظومة حرف الحزمة الالكترونية == A COMPUTATIONAL OPTIMIZATION OF AN ELECTRON BEAM DEFLECTING SYSTEM

Author name: عدي علي حسين العبيدي
General topic: Physics
Specific topic: Physics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: تم استخدام التقريبين التحليلي والتركيبي لطريقة الامثلية في الدراسة الحالية لايجاد التصميم الامثل للحارفات المغناطيسية والكهروسكونية التي تعطي اقل زيغ كروي ولوني. استخدم التقريب التركيبي في حسابات الحارفة المغناطيسية وتم استخدام ملف الانحراف ذو النير الراكب (saddle yoke deflection coil) مصدرا للمجال المغناطيسي، عدة نماذج لتوزيع المجال المحوري استخدمت في الحسابات وكذلك تم استخدام انموذج جديد تم اقتراحه في الدراسة الحالية. فكرة العدسة الشيئية المتحركة اعتمدت في حسابات مجال الانحراف، زيوغ الانحراف خفظت لكل انموذج لتوزيع المجال بتغيير شكل ملف الانحراف، حيث غير الطول والزاوية. باستخدام امثل توزيع للمجال المحوري لكل حالة تم ايجاد تصميم قطع القطب التي تعطي توزيعات المجال هذه باستخدام طريقة اعادة البناء.في حسابات الحارفة الكهروسكونية، كل من التقريبين التحليلي والتركيبي استخدما لايجاد التصميم الامثل الذي يعطي اقل زيغ. تم اولا، استخدام التقريب التحليلي لدراسة بعض تصاميم الحارفات الكهروسكونية والتي تتكون من صفيحتين متوازيتين؛ الوصول للامثلية تم بتغيير الشكل الهندسي للحارفة عن طريق تغيير ابعاد الصفائح المتوازية. ثانيا، التقريب التركيبي استخدم لايجاد اقل قيم للزيغ باستخدام توزيع جديد اقترح في الدراسة الحالية للحارفات الكهروسكونية تحت البحث. شكل الحارفة تم ايجاده باستخدام طريقة اعادة البناء.اخيرا، الحارفات المغناطيسية والكهروسكونية جمعـت وركبت لتعطي عامود كامل لانظمة الانحراف ورسمت مقاطع مستعرضة لمسارات الحزم.

الحلول العددية للمعادلات التفاضلية باستخدام طريقة التفاضلات التربيعية المعتمدة على دوال السبلاي G == Numerical Solutions of Differential Equations Via G - Spline Based Differential Quadrature Method

Author name: مصطفى اكرم سعيد
Supervisor name: اسامة حميد محمد | فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: This thesis have two main objectives, namely : 1 - The first objective is to study the mathematical background of the differential quadrature method and its application to solve boundary value problems of the fourth order ordinary differential equations.2 - The second objective is first about function approximation by G - spline interpolation method. Secondly the numerical solution of two applications relating the vibration of a uniform beam problem which are represented by a boundary value problem of the fourth order ordinary differential equation and the vibration of a square thin plate given by a boundary value problem of the forth order partial differential equation, by using G - spline based differential quadrature method have been obtained

حول الحلول العددية لبعض المعادلات التفاضلية الاعتيادية الصدفية == On Numerical Solutions of Some Stochastic Ordinary Differential Equations

Author name: عادل سفيان حسين
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف الرئيس لهذه الرسالة هو دراسة بعض الطرق العددية لحل المعادلات التفاضلية الصدفية (Stochastic Differential Equations) حلا عدديا. لقد تم عرض المفاهيم الاساسية لفهم ودراسة الطرق العددية المقترحة.بسبب صعوبة ايجاد الحلول التحليلية لكثير من المعادلات التفاضلية الصدفية، تم استخدام طريقتي اويلر ميرما وميلستين العدديتين. ولقد تم تنفيذ بعض المحاكات العددية لعدد من الامثلة الاختيارية. وقدمت الملاحظات الاستنتاجية الضرورية لذلك.لقد تم كذلك دراسة وتقديم الخطا المطلق، خطا التقارب القوي، خطا التقارب الضعيف بالاضافة الى الاستقرارية الخطية لطريقتي اويلر ميرما وميلستين مدعمة باختبارات عددية.عرضت مع المناقشة المقارنة لانواع مختلفة من التقاربات والخطا العددية للطريقتين (اويلر - ميرما وميلستين) ولبعض الامثلة الاختيارية واخيرا لقد قدمت ونوقشت بعض الاستنتاجات والمقارنات لانواع معينة من الدراسة. مع عرض البرامج الحاسوبية مبرمجة ضمن لغة Matlab Software مع الشروحات الكافية لفهما. | The aim of this thesis is studying some numerical methods for solving Stochastic Differential Equation. The mathematical preliminary required to understand these numerical methods is proposed. Since many stochastic differential equations do not have explicit solution, Euler - Maruyama and Milstein numerical methods are used. The numerical simulation for different selected examples are implemented. The necessary concluding remarks are provided. The absolute error, the strong convergence error, the weak convergence error and the linear stability for Euler - Maruyama and Milstein's schemes are discussed and supported by numerical test problems. The comparison different type of convergence and error between Euler - Maruyama and Milstein's for some test problems are presented. Some conclusions and comparison in some sense have been presented with discussions. The programs coded in Matlab software are also given with useful discussion

توليد المتغيرات العشوائية لتخمين معلات توزيع لوجستك باستخدام محاكاة منت كارلو == Generating Random Variates for Estimating the Parameters of Logistic Distribution by Monte Carlo Simulation

Author name: زهراء امروي علي حيدر الحجار
Supervisor name: اكرم محمد العبود
General topic: Mathematics
Specific topic: Statistics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this work, we consider the Logistic distribution of two parameters for its importance in statistics. Mathematical and statistical properties of Logistic distribution are considered, moments and higher moments are illustrated to the distribution parameters, namely, moments methods, maximum likelihood method, modified moments method, least squares method are discussed theoretically and assessed practically by utilizing two procedures of Monte Carlo simulation for generating random variates from the Logistic distribution. Properties of the estimators, such as Bias, variance, skewness, kurtosis and mean square error measurement are tabulated.

طريقة التربيعات الصغرى لايجاد المساحات الماصة لدوال المستوي التربيعية == Least Square Method for Finding Absorbing Areas of Planar Quadratic Maps

Author name: مهند نافع جعفر
Supervisor name: زينب عبد النبي سلمان
General topic: Mathematics
Specific topic: Dynamic Systems
Degree: Master
Language: English
University location: Baghdad
Key words:
  • المساحات الماصة
  • منحنيات الحرجة
  • معادلات التربيعية.
First pages:
Abstract: First objective : introduce the mathematical background of the main notions and proposition on the theory of the dynamical system. Specifically we shall foucus our study on planar nonivertiable continuously differentiable maps T : 22. Definitionof critical curves and some different types of noninvertible maps related to their critical curves and some properties of critical curves are presented.Second objective : we have studied some properties of such kind of maps in particular absorbing areas, invariant areas of such maps. Also, we give proposed algorithm to approximate the equations of the critical curves LCi which cause find an approximated absorbing and invariant areas such as least square method. Third objective : give some illustrative examples that use the proposed algorithm to find an approximated absorbing.

مسالة تصميم نظام سيطرة دينامي غير خطي وتطبيقات للمسائل الفوضـــوية == NONLINEAR DYNAMIC CONTROL SYSTEMS DESIGN PROBLEM AND APPLICATIONS TO CHAOS

Author name: زينب رياض شاكر عبد العظيم الياسري
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Applied Mathematics
Degree: Master
Language: English
University location: Baghdad
Key words:
  • Non - linear control system
  • Chaotic dynamic system
  • Numerical solution of dynamic system
First pages:
Abstract: لقد برزت المعادلات التفاضلية غير الخطية في دراسة انظمة السيطرة غير الخطية وانظمة الفوضى الديناميه وغيرها بشكل فعال ومهم.تعتبر دراسة السلوك الفوضوي من المواضيع المهمة والاساسية في نظرية الانظمة الديناميه وتصميمها. لقد تم في هذه الرسالة تطوير وعرض مشروع عمل جديد لبعض انظمة السيطرة غير الخطية وتصميمها, مستندين على قاعده رياضيه مدعومة بالبراهين الضرورية اللازمة ومرفق معها الخوارزميات العددية الضرورية.لقد تم كذلك عرض بامانه قدر الاستطاعة بعض الاستنتاجات والملاحظات المهمه والضرورية.وكذلك تم عرض بعض التطبيقات المهمه والمرتبطة بالسلوك الفوضوي لبعض الانظمة غير الخطية مثل نظام لورنز Lorenz system) ( غير الخطي الفوضوي , نظام جويس) Chua's system (غير الخطي الفوضوي ودراستهما ومحاولة السيطرة على سلوكهما من خلال تصميم مسيطر خطي او غير خطي ومحاولة عرض نتائج المحاكات العددية المعتمدة على الخوارزميات المسنده على القاعدة الرياضية وعرضها بشكل جداول ومخططات ورسوم. | Non - linear differential equations appear prominently in the study of dynamical control systems, chaotic dynamical systems etc. Chaotic behavior study is very important in the nonlinear dynamical system theory and design.In this thesis, a new scheme and procedure for nonlinear dynamical control system design are proposed and developed. The proposed scheme is based on some suggested theorems. The proofs of the presented Theorems as well as their computational algorithm have been developed and presented. The concluding and necessary remarks have also been discussed. Some real life applications of chaotic dynamic system like nonlinear chaotic Lorenz system and nonlinear chaotic Chua's system have been considered and their non - linear controller have also been designed and developed to overcome the problem of undesirable chaos in these systems.The numerical solutions of chaotic Lorenz and Chua’s system before and after controlling their behaviors are simulated and shown in graphs and tables

القيود الصريحة للمتراجحات التكاملية التفاضلية اللاخطية == Integro - Differential Inequalities

Author name: اسماء خلدون عبد اللطيف
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Integral Equations
Degree: Master
Language: English
University location: Baghdad
Key words:
  • المتراجحات التكاملية
  • المتراجحات التفاضلية
  • الماراجحات التكاملية التفاضلية
First pages:
Abstract: The main purpose of this work can be classified into four objectives. These are summarized as follows : The first objective, is to classify the one - dimensional integral inequalities.The second objective, is to find explicit bounds for the unknown function that appeared in special types of the one - dimensional Volterra linear and non - linear integral inequalities.The third objective, is to classify the ordinary integro - differential inequalities.The fourth objective, is to give explicit bounds for the unknown function that appeared in special types of the ordinary Volterra first order and second order linear and non - linear integro - differential inequalities.

حول قابلية السيطرة الاحتمالية لانظمة سيطرة غير خطية ماغيرة العشوائية == On Controllability Probabilities of Stochastic non - linear Control Systems

Author name: محمد عاشور شنيور داود
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The main aim of this thesis is focused on studying some non - linear uncertain stochastic dynamical system.The necessary background for stochastic process, stochastic integral for Brownian motion and fractional Brownian motion, stochastic dynamical system driven by Brownian motion and fractional Brownian motion are studied and discussed supported by useful comments and examples.Some class of non - linear stochastic ordinary control system driven by Brownian motion as well as fractional Brownian motion have been considered and discussed. ItoˆA necessary theorem of solvability and controllability of some class of non - linear dynamical control system driven by Brownian motion are discussed and proved using Banach fixed point theorem and supported by useful concluding remark and illustration.ItoˆA theorem of solvability and controllability of some class of non - linear dynamical system driven by fractional Brownian motion are also stated and proved supported by illustration.

حلول المعادلات التفاضلية متغيرة العشوائية الخطية التباطؤية الاعتيادية == Solution of Stochastic Linear Ordinary Delay Differential Equations

Author name: حسنى احمد جاسم
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Differential Equations
Degree: Master
Language: English
University location: Baghdad
Key words:
  • معادلات تفاضلية متغيرة العشوائية
  • السيرورة العشوائية
  • معادلات تفاضلية تباطؤية
  • طريقة اويلر
First pages:
Abstract: لهذه الاطروحة ثلاثة اهداف رئيسية. الهدف الاول هو اعطاء دراسة شاملة لموضوع التفاضل والتكامل متغير العشوائية، حيث تتضمن الدراسة التعاريف الاساسية والمفاهيم الاساسية المتعلقة بهذا الموضوع متضمنة برهان بعض النتائج، ومن بين هذه النتائج برهان متباينة هولدر للتوقع، نظرية ومبرهنة وجود ووحدانية حلول المعدلات التفاضلية متغيرة العشوائية وطريقة اويلر العددية لحل المعادلات التفاضلية متغيرة العشوائية. الهدف الثاني هو لدراسة الطرق التحليلية والعددية لحل المعادلات التفاضلية متغيرة العشوائية. بينما كان الهدف الثالث هو تطوير طرق الحل المتبعة للمعادلات التفاضلية متغيرة العشوائية وذلك لحل المعادلات التفاضلية متغيرة العشوائية التباطؤية. | This thesis have three main objectives. The first objective is to give a study of stochastic calculus, including the basic definitions and fundamental concepts related to this topic including the proof of some results, and among such results is the proof of Hölder's inequality of expectation, the existence and uniqueness theorem of stochastic differential equations and the Euler's method for solving stochastic differential equations. The second objective is to study the analytical and numerical methods for solving stochastic differential equations. The third objective is to modify the methods of solution to solve delay stochastic differential equations

الصياغة التغايرية لبعض الانظمة التفاضلية ذات التباطؤ المتغير == Variational Formulations of Some Variable Delay Differential Systems

Author name: سارة علاء الدين عبد القادر
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Applied Mathematics
Degree: Master
Language: English
University location: Baghdad
Key words:
  • الصياغة التغايرية
  • المعادلات التفاضلية التباطؤية الاعتيادية
  • المعادلات التفاضلية التباطؤية الجزئية
  • طريقة رتز المباشرة
First pages:
Abstract: The main theme of this work is to introduce the general form and fundamental concepts in ordinary and partial delay - differential equations with variable delays and then to find the variational formulation of delay - differential equations with variable delays in both cases, ordinary and partial and to provide the rules of minimizing the obtained functional in the subject of calculus of variation. Finally, to minimize the variational formulation using the direct - Ritz method and finding the approximate solution of delay - differential quations with variable delays.

قابلية الاستقرارية لنظام سيطرة غير خطي متغير العشوائية مع الزمن بوساطة مسيطر استرجاعي لمخرجات النظام == Stabilization of Nonlinear Stochastic Control System via Output - Feedback Control

Author name: ايناس عاجل جاسم محمد الركابي
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Stochastic differential equations are one of the most useful areas of the theory of stochastic processes and its applications in mathematics.Some nonlinear (Itô) 1 dynamic stochastic control system driven by Brownian motion 2 based on dynamic observer have been considered.Output feedback (observer - based) robust and optimal control law which guarantees global (local) asymptotic stable in probability for the nonlinear stochastic dynamic system are discuss and developed. The necessary theorems regarding the globalty asymptotic stable in the probability of the equilibrium point at the origin of the closed loop stochastic system have been developed and proved. The Lyapunov function approach of stochastic dynamic system has been adapted to justify our proofs.The inverse optimal stabilization in probability with suitable performance index has also discussed and developed. The necessary mathematical requirements have also been provided. Concluding remarks, future work, computational algorithm based on the theoretical results and illustrations have been presented.

طرق متسلسلة تشيبتشيف لحل بعض المسائل الخطية == Chebyshev Series Methods for Solving Some Linear Problems

Author name: نور نبيل محمود القيسي
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Applied Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The main purpose of this work may be divided into the following aspects : 1.Study the Chebyshev polynomials of the first and second kinds defined on the intervals [0,1] and [ - 1,1] and modify some of their properties.2.Use two methods to solve the linear ordinary differential equations with nonconstant coefficients, namely, Chebyshev - matrix method and Chebyshev series method.3.Devote Chebyshev series method to solve system of linear Fredholm integral equations and integro - differential equations

قابلية الاستقرارية في نظام سيطرة غير خطي متغير العشوائية باستعمال الامثلية المعكوسة == Stochastic Nonlinear Control Stablizability Based on Invers Optimality

Author name: نورا علي عزيز
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The main aim of this work is focused on studying the global asymptotic stability in the probability for some class of closed - loop control system of Itotype in the presence of system uncertainty.Some nonlinear continuous - time Ito - dynamic stochastic system deriven by unbounded stochastic noise input have been considered, where the equilibrium point of the stochastic system is preserved even in the presence of noise .The global asymptotic stability in probability has been developed by using stabilization controller and Lyapunov stochastic approach.The stochastic Lyapunov function is computed to guarantee the global asymptotic stability in probability. Some resulte of estimation of exponential stability is also discussed.The necessary theorem for finding the controller design and stability Lyapunov stochastic function have been stated and proved which are supported by some concluding remarks and illustrations.

حول امثلية انظمة السيطرة المتابعة التصادفية اللاخطية == On Optimality of Stochastic Non - Linear Tracking Control System

Author name: مریم یاقو یوسف رمو
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The tracking problem for differential stochastic equations in the presentof stochastic uncertainty of white noise, and control input have beenconsidered.In this work, our consideration have been focused on the case whereboth original dynamic state stochastic system and the desired stochasticdynamic system, are driven by white noise stochastic process.The main aim of this work is to make the behavior of the originaldynamic system following the behavior of the desired one for arbitrarycontroller, using tracking control system approach.The tracking and stabilizing controller that guarantee the optimumtracking error system between the original system and the desired one havebeen derived and developed.The necessary theorems for optimum tracking have been stated andproved supported with some concluding remarks. The controller can also beendivided into robust one and optimal one.The optimum controller can be obtained as a solution of some lineardeterministic differential Riccati equation, while the robust one can be obtained so that some controllability properties are ensured.The Riccati equation associated with linear stochastic optimal controller and tracking one, have also been desired and discussed.Finally some illustration ranking for time varying system and for law order differential system to larger one, have been illustrated, with details and corresponding Riccati equation for justification of the present work.

دوال السبلاين G - لتقريب حلول المعادلات التفاضلية الاعتيادية باستخدام طرائق متعددة الخطوات == G - Spline Interpolation for Approximating the Solution of the Ordinary Differential Equations Using Linear Multistep Methods

Author name: زهراء جواد كاظم السوداني
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The main objectives of this thesis, is oriented toward function approximation using special type of spline functions, which is called the “G - spline “including the details of the subject.The second objective consider the 1st order ordinary differential equations of the form : . ]b,a[x),y,x(F)x(y∈=′y(a)=. 0yWhere the study concern the approximate solution of the above differential equation using linear multistep methods based on G - spline interpolation and then a generalization to this approach have been extended to solve Boundary value problems of the second order ordinary differential equations.

خوارزميات محورة لحل مسائل البرمجة الخطية

Author name: ياسمين معين محمد الاسدي
Supervisor name: علاء الدين نوري احمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this work, we studied the Path - FollowingAlgorithm, which is one of the family algorithms, calledInterior - Point Algorithms.We are discussed two modifications, the firstone concerned with the path solution, while the secondone is concerned with the feasibility solution. Thesetwo modifications are combined in a new manner, toconstruct a hybrid method. The same test problem hadbeen run for all the algorithms, as well as, number oftested problems had been implemented for comparison.From this comparision we have shown that ourmodifications give better results in the number of iterationsand the accuracy of the results.

نظريات وجود الحلول لمسائل القيم الحدودية للمعادلات التفاضلية الاعتيادية الدفعية == Existence Theorems of the Solutions for the Boundary Value Problems of the Impulsive Ordinary Differential Equations

Author name: نور شوقي كامل محمد
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The main theme of this work can be divided into three categories, which can be summarized as follows : First, we give some definitions of impulsive differential equations with or without delays with some illustrative examples and some real life applications.Second, we give the explicit forms of the solutions of the boundary value problems (periodic and nonperiodic) which consist of the first order linear ordinary differential equations with non - constant coefficients together with finite impulsive conditions and boundary condition (periodic and nonperiodic).Third, we transform the boundary value problems (periodic and nonperiodic) which consists of the first order nonlinear ordinary differential equations together with finite impulsive conditions and boundary condition (periodic and nonperiodic) into equivalent integral equations. Also the existence of the solutions for the above periodic boundary value problemsare discussed.

طريقة توسيع تيلر لحل المعادلات التكاملية والتكاملية التفاضلية اللاخطية == Taylor Expansion Method for Solving the Non - Linear Integral and Integro - Differential Equations

Author name: هدى عبـد الرزاق محمـد الجنابي
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Integral Equations
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The main purpose of this work is to study Volterra - Fredholm integral and integro - differential equations.This study include the classification of Volterra - Fredholm integral and integro - differential equations.Also, some theorems for the existence and uniqueness of the solution for linear Volterra - Freadholm integral and integro - differential equations are presented.Moreover, Taylor expansion method for solving special types of nonlinear Volterra - Freadholm integral and integro - differential equations with some illustrate examples are discussed.

حول كمال الفضاءات المترية الضبابية == About the Completeness of Fuzzy Metric Spaces

Author name: اماني التفات كاظم
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: لهذه الاطروحة هدفين رئيسيين، وهما : الهدف الاول هو لدراسة المجموعات الضبابية (Fuzzy Sets) بالاضافة الى بعض الخواص الجبرية لهذه المجموعات وبعض النتائج النظرية المهمة.الهدف الثاني هو لدراسة الفضاءات المترية - D (D - Metric Spaces) والفضاءات المترية الضبابية - M (M - Fuzzy Metric Spaces) واعطاء بعضا من النتائج المهمة في هذين الفضائين. كما ويتضمن هدف الاطروحة دراسة كمال الفضاءات المترية الضبابية (Completeness of Fuzzy Metric Spaces) باستخدام الدوال المترية الضبابية - M. | The objective of this work may be oriented toward two objectives.The first objective is to study fuzzy set theory, as well as some of its basic algebraic properties and theoretical results. The second objective is to study D - metric spaces and M - fuzzy metric spaces, and some of their properties. Also, this objective includes the study of complete fuzzy metric spaces using M - fuzzy distance function. In addition, some additional results are presented and proved in this work.

حلول المعادلات التفاضلية الكسرية الحدودية == Solutions of Fractional Boundary Value Problems

Author name: سيماء عبد الستار محمد الفياض
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: في هذه الرسالة، قمنا بتقديم اسلوب مطور لحل المعادلات التفاضلية الحدودية ذات الرتب الكسرية (Fractional order boundary value problems). حيث اعتمدنا في هذا الاسلوب على تطبيق مؤثر رايسز - فيلر(Riesz - Feller operator) والحصول على الصيغة المطورة لمعادلة الفروقات المنتهية المناظرة للمعادلة التفاضلية الحدودية الكسرية.كما وان من اهداف هذا العمل هو دراسة مبرهنة وجود ووحدانية حلول المعادلات التفاضلية الحدودية الكسرية، وتقديم برهان لهتين المبرهنتين بالاعتماد على مبرهنة شاودر للنقطة الصامدة (Schauder fixed point theorem) للمؤثر التكاملي الكسري (Fractional integral operator). | In this thesis, we introduce a modified approach for solving fractional order boundary value problems. This approach is given by applying the Riesz - Feller operator to obtain a modified finite difference equation, which is symmetric to the equation of fractional boundary value problems.Also, the main objective of this work is to study the existence and uniqueness theorem of solutions of the fractional boundary value problems, and to present their proof depending on Schauder fixed point theorem for fractional order integral operator

حول تحويلات لابلاس المتعددة الابعاد == On the Multi - Dimensional Laplace Transforms

Author name: وسن عجيل حمود
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف من هذا العمل هو دراسة تحويلات لابلاس المتعددة الابعاد مع تطبيقاتها. هذه الدراسة شملت المحاور التالية : - 1 - تبني تحويلات لابلاس ذات البعد الواحد للدوال التي تعتمد على متغير مستقل واحد فقط مع بعض الخواص المهمة. اضافة الى ذلك بعض التطبيقات الرياضياتية لتحويلات لابلاس ذات البعد الواحد قدمت .2 - توسيع دراسة تحويلات لابلاس ذات البعد الواحد الى تحويلات لابلاس المتعددة الابعاد. اضافة الى ذلك قمنا باعطاء بعض الخواص المهمة الموسعة لتحويلات لابلاس المتعددة الابعاد.3 - استعمال تحويلات لابلاس المتعددة الابعاد لحل انواع خاصة من المعادلات التفاضلية الجزئية, المعادلات التكاملية المتعددة الابعاد والمعادلات التكاملية - التفاضلية المتعددة الابعاد. | The aim of this work is to study the multi - dimensional Laplace transforms and their applications. This study includes the following aspects : - 1 - Devote the one - dimensional Laplace transforms for functions of only one independent variable with some of their important properties. Also some mathematical applications for the one - dimensional Laplace transforms are presented.2 - Extend the study of the one - dimensional Laplace transforms to the multi - dimensional Laplace transforms. Also some generalized important properties of the multi - dimensional Laplace transforms are obtaind.3 - Use the multi - dimensional Laplace transforms to solve special types of the partial differential equations, the multi - dimensional integral equations and the multi - dimensional integro - differential equations

تكاملات مونت كارلو وتقنيات تخفيض التباين للتكاملات المتعدد الابعاد

Author name: اكرم عباس جاسم الصباغ
Supervisor name: اكرم محمد العبود
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this work, we consider two Monte Carlo methods for evaluating the ndimensional integrals for bounded integrand. Statistical properties of these methods are illustrated and unified. The supported number of trials to estimate the integrals, confidence interval and the efficiency for each method were derived theoretically and assessed practically. Variance Reduction for Monte Carlo methods is discussed theoretically and explained by algorithms where four techniques are considers, namely, the Importance Sampling, the Correlated Sampling, the Partition of the region, and the Biased Estimator.The computer programs are illustrated in appendices by the run is made by using MathCAD 2001i.

تخمين معلمات توزيع ويبل مع تطبيق باستخدام محاكاة مونت كارلو == Estimation of Parameters for Weibull Distribution with Application by Using Monte Carlo Simulation

Author name: سلام عادل احمد
Supervisor name: اكرم محمد العبود
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: تطرقنا في هذه الرسالة الى توزيع ويبل ذو المعلمتين لاهميته في مجالات الاحصاء وتطبيقاته من حيث استعراض لخواص التوزيع الرياضية والاحصائية والعزوم والعزوم العليا. ثم تطرقنا الى التخمين وخواصه ومناقشة اربعة طرق لتخمين معالم التوزيع وهي : طريقة الترجيح الاعظم, طريقة العزوم, طريقة العزوم المعدلة وطريقة المربعات الصغرى. نوقشت هذه الطرق نظريا وطبقت عمليا باستخدام ستة اساليب من محاكاة مونت كارلو لتوليد المتغيرات العشوائية من توزيع ويبل. اوجدت كفاءة بعض هذه الاساليب نظريا وقورنت عمليا. تمت المقارنة بين الطرائق الاربعة التخمينية باستخدام مقياس معدل مربعات الخطا. | In this work, we consider the Weibull distribution of two parameters for its importance in statistics and its applications. Mathematical and statistical properties of Weibull distribution are considered, moments and higher moments are illustrated and unified. Four methods of estimation to the distribution parameters namely (Maximum likelihood Method, Moments Method, Modified Moments Method, Least Square Method) are discussed theoretically and assessed practically by utilizing six procedures of Monte - Carlo simulation for generating random variates from the distribution. Efficiency of some procedures are found theoretically and compared practically. Comparisons are made among four methods of estimation by considering the mean square error measurement.

حلول المعادلات التفاضلية الاعتيادية المتجانسة من الرتب الكسرية ذات المعاملات المتغيرة == Solutions of Ordinary Homogenous Fractional Order Differential Equations with Variable Coefficients

Author name: ضمياء سالم
Supervisor name: علاء الدين نوري احمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: في هذا العمل تم دراسة حلول المعادلات التفاضلية الاعتيادية المتجانسة من الرتب الكسرية (والتي قيمها مابين الصفر والواحد) ذات المعاملات المتغيرة.لقد تم استنباط وجود هذه الحلول من خلال عرض نظرية استخدم فيها طريقة Power Series للحالات الاعتيادية(ordinary point) والمفردة(singular point) من المعادلات التفاضلية الاعتيادية من الرتب الكسرية ذات المعاملات المتغيرة وقد تم عرض مثال لكل نوع | In this work the solutions of ordinary homogenous fractional order (with values between zero and one) differential equations with variable coefficients are investigated. Also the existence of the solution is by presenting theorems, using the method of Power Series for ordinary and singular type of fractional order differential equations with variable coefficients. Example has been presented for each case

اساليب النمذجة الخطية في ادارة شبكة المشاريع == Linear Programming Techniques for Network Project Management

Author name: ايلاف محمد عبد
Supervisor name: علاء الدين نوري احمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this work, Linear Programming Problems have been implemented to build four linear models for projects management. An Interior - Point Method has been implemented to solve such linear models, instead of using the usual techniques "Simplex Method", by implementing the "what's Best 9.0 " software, and obtaining the critical path in minimum completion time, minimum crashing cost and optimal total ( direct & indirect ) costs for a simple real project. Then we are verified the results obtained by implementing " Project 2000 " software to construct the project network and obtain the same critical path.Finally, the Programming Evaluation Review Technique (PERT) has been used, to find the probabilities of completing the project.

مسالة هيرميت بيركهوف ذات الرتب الكسريه وتطبيقاتها لدوال السبلاين - G == HB - Problem with Fractional and It's Application to G - Spline Function

Author name: حسام عدي عبد الرسول
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
Key words:
  • التحليلات العددية
  • طرق النظرية التقريبة
  • الجبر الخطي
First pages:
Abstract: الهدف الرئيسي من هذه الرسالة ، هو اولا لدراسة التفاضل الكسري (Fractional Calculus) وطرق حساب المشتقات ذات الرتب الكسرية لبعض الــدوال وثانيا لدراســة دوال اندراج السبلاين - G وطريقة حساب هـذه الدوال باسـتخدام اسلوب جديـد وذلك لتكـوين مشكلـة هيرميت بيركهـوف (Heremite - Birkhoff problem) وذلك باستخدام مشتقات ذات رتب كســــــرية بدلا من مشتقات ذات رتب صحيحة | The objective of this thesis is to study first the theory of fractional calculus and some of well known methods for evaluating derivatives of fractional orders for certain functions.The second objective is to study the G - spline interpolation functions and its construction using a new approach in formulating the Heremite - Birkhoff problem using fractional derivatives instead of integer order derivatives

نظام تجفير معدل بالاعتماد على تطوير نظام الـ NTRU == Cryptosystem approach using modified NTRU

Author name: اياد حازم ابـراهيم
Supervisor name: عبد المنعم صالح رحمة ابو طبيخ | اكرم محمد العبود
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: يعتبر نظام التشفير NTRU نظام تشفيرحديث قدم عام 1998 ويمتاز هذا المفتاح بسرعة عالية مقارنة بالانظمة المعروفة RSA , ECC .من اهم مزايا هذا النظام سرعته العالية في توليد المفاتيح مقارنة بانظمة التشفيرالاخرى. وتاتي امنية نظام الـ NTRU من تداخل النظام المختلط المتعدد الحدود مع المستقبل لمعامل النقصان للعددين النسبيين p and q .تم في هذه الاطروحة مقترح نظام الـ NTRU كمفتاح جديد قصير بشكل معقول تتولد رموزه بسهولة وسرعة عالية كما لا يحتاج الى متطلبات ذاكرة كبيرة وهذه المزايا جعلته قابل للاستخدام في انظمة الاتصالات المتنقلة وقنوات البث الاذاعي لقلة احتياجاته من مكونات واجهزة .يستعمل نظام الـ NTRU نظام مختلط يعتمد على الجبر المتعدد الحدود ومبدا المجاميع المعتمد على نظرية الاحتمالات .اضافت الاطروحة نظام محور لنظام الـ NTRU اعتمدت مصفوفات الاعداد كاساس واظهرت كونها اعلى سرعة وكفاءة من نظام التشفير الاعتيادي .كما اضافت هذه الاطروحة وصف اسلوب وبرنامج البصمة الرقمي باستخدام الـ NTRU مع تحسين في تشفير الوثائق موثقة بخوارزميات وامثلة .تم فحص وتحليل الاداء باستخدام حاسبة شخصية ذات المواصفات التالية ( السرعة 1.7 dual cores ، الذاكرة 512 MB ،نظام الويندوزXP - SP2 ،وباستعمال لغة (Visual Basic ) لتطوير البرامج | The NTRU [Number theory research unit] cryptosystem is a relatively new public key cryptographic algorithm that was first introduced in 1998, and that key runs are much faster than conventional public key algorithms such as RSA, ECC. The main advantage of this cryptosystem is its high speed generation keys, which is often the most important part of public key cryptography.The security of NTRU cryptosystem comes from the interaction of the polynomial mixing system with the independence of reduction modulo two relatively prime integers' p and q. This thesis introduces the concepts behind NTRU as a new public key cryptosystem. NTRU features are reasonably short, easily created keys, high speed, and low memory requirement. These features make it favourable in mobile communication systems, broadcast and satellite channels for its low cost hardware needs. NTRU encryption and decryption use a mixing system suggested by polynomial algebra combined with a clustering principle based on elementary probability theory. Also an approach variant of the NTRU public key cryptosystem called Matrix NTRU cryptosystem is proposed and has been shown to be much faster and have higher efficiency than the classical NTRU cryptosystem.The thesis describes the NTRU Signature Scheme with enhanced document encoding, signature, verification, with provision of documented algorithms and examples.The test and performance analysis performed using a PC with the following specification (processor 1.7 dual cores,memory 512 MB with windows XP - SP2 operating system), and all programs are developed in Visual Basic

حلول المعادلات التفاضلية الكسرية باستخدام دوال السبلاين - G == Solutions of Fractional Differential Equations Using G - Spline Interpolation Functions

Author name: محمد صالح مهدي
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف الرئيس لهذه الاطروحة هو دراسة الحلول العددية للمعادلات التفاضلية الاعتديادية الكسرية (ordinary fractional differential equations) باستخدام دوال السبلاين - G (G - spline functions) للاستكمال. طبق اسلوبين في الطرائق العددية، الاسلوب الاول هو باستخدام طرائق متعددة الخطوات الصريحة(explicit linear multistep methods) والتي يمكن استخدامها وبسهولة لحل المعادلات التفاضلية الخطية وغير الخطية بينما الاسلوب الثاني هو اسلوب محسن وهو استخدام طرائق متعددة الخطوات الضمنية (implicit linear multistep methods) لحل معادلات تفاضلية كسرية اعتيادية وغير خطية والتي من الصعب حلها بالطرق الاعتيادية. وقد تم ذلك باقتراح اسلوب جديد الا وهو باستخدام قاعدة السلسلة(the chain rule) للمشتقات الكسرية. | The main objective of this work is to study the numerical solution of fractional ordinary differential equations using G - spline interpolation functions. Two numerical approaches are used, the first approach utilize the explicit linear multistep methods which can be applied easily for linear and nonlinear problems while the second approach is a modified approach by using the implicit linear multistep methods for solving nonlinear fractional ordinary differential equations which has so many difficulties in their solution. This is done by suggesting a new criterion by using the chain rule derivatives of fractional order.

حلول المعادلات التفاضلية التباطؤية ذات الرتب الكسرية == Solutions of Fractional Order Delay Differential Equations

Author name: فجر عدنان عبد الخالق
Supervisor name: علاء الدين نوري احمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
Key words:
  • Fractional differential equations
  • Delay differential equations
  • Numerical solution of differential equations
  • The existence and uniqueness theorem
First pages:
Abstract: في هذا العمل تمت دراسة المعادلات التفاضلية التباطؤية ذات الرتب الكسرية (FOBDDE’s) حيث تم اثبات نظرية الوجود والوحدانية لحل هذا النوع من المعادلات التفاضلية باستخدام طريقة التقريبات المتتابعة.وكذلك تم عرض اسلوب حل المعادلات التفاضلية التباطؤية ذات الرتب الكسرية (FOBDDE’s) تحليليا (Analytically) باستخدام تحويلات لابلاس (Laplace Transformation) وعدديا (Numerically)باستخدام طرائق متعددة الخطوات (linear multi - steps methods) وطرائق ذات الخطوة الواحدة (general - one step methods) وتمت مقارنة نتائج هذه الطرق مع قيم الحل المضبوطة (Exact solutions values). | The Fractional Order Bounded Delay Differential Equations (FOBDDE’s) has been studied in this work. The Existence and Uniqueness theorems of such type of differential equation have been proved, by using the successive approximation techniques. Also, the analytic solution of (FOBDDE’s) are presented, using Laplace Transformation, and the numerical solutions are discussed, using general one - step methods and linear multi - step methods. The comparison, among these methods and the exact solutions are presented.

الشروط الضرورية للامثلية لمسائل التغاير ذوات الرتب الكسرية المستمرة وغير المستمرة

Author name: علي خالد عطية
Supervisor name: علاء الدين نوري احمد | اكرم محمد العبود
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this thesis, some properties and basic definitions of fractional integral and derivatives of Riemann - Liouvill are presented , to construct the optimality conditions of mixed order unconstrained and constrained variational problems with continuous and discontinuous functional, on fixed and moving boundaries ,based on the classical product rule for Riemann - Liouvill , Several tested example are presented to demonstrate the implementation of the optimality necessary conditions.

الشروط الضرورية للامثلية في مسائل التغاير ذوات الرتب الكسرية == Optimality Necessary Conditions For Fractional order Variational Problems

Author name: نادية جاسم اسمير
Supervisor name: علاء الدين نوري احمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: تعد المشتقة ذات الرتب الكسرية فكرة جيدة من الناحيتين النظرية والتطبيقية. وتعد دراسة حسبان مسائل التغاير المتضمنة مشتقات ذات رتب كسرية (fractional variational problems) من المواضيع الحديثة.في هذا العمل، تم عرض بعض الخواص والتعاريف الاساسية للمشتقات والتكاملات ذات الرتب الكسرية لريمان لوفيل (Riemann Liouville). كما تم استنباط الشروط الضرورية لامثلية انواع مختلفة من المسائل التغاير ذات الرتب الكسرية التي تتضمن مشتقات ذات رتب كسرية ومتغيرات معتمدة (dependent variables) لمتغير مستقل (independent variable) واحد فقط على طول حدود ثابتة ومتحركة. كما تم عرض بعض الامثلة توضح تحقيق امثلية الشروط الضرورية. | Fractional (or non - integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject. In this work, some properties and basic definitions of fractional integral and derivatives of Riemann - Liouvill are presented. The optimality necessary conditions for fractional variational problems are constructed for different types of fractional problems of calculus of variations having one and different multi fractional order derivatives (FOD) on one and different multi - dependent variables with one independent variable, along fixed and moving boundaries. Several examples are presented to demonstrate the implementation of the optimality necessary conditions

الطرق العددية المطورة لحل المعادلات التكامليه الموسعة المتعددة الابعاد == MODIFIED NUMERICAL METHODS FOR SOLVING THE MULTI - DIMENSIONAL INTEGRAL EQUATIONS

Author name: يسر سهيل علي
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف الاول هو تصنيف ودراسة المعادلات التكاملية الموسعة ذات البعد الواحد والتي تحتوي على n من المؤثرات التكاملية ذات البعد الواحد. هذه الدراسة تتضمن وجود ووحدانية الحل لانواع خاصة من هذه المعادلات التكاملية وحل هذه المعادلات باستخدام بعض الطرق من الطرق التربيعية والتي هي قاعدة شبه المنحرف وقاعدة شبه المنحرف مع التصحيح وقاعدة سمسون. الهدف الثاني هو تصنيف ودراسة المعادلات التكاملية الموسعة المتعددة الابعاد والتي تحتوي على n من المؤثرات التكاملية المتعددة الابعاد. هذه الدراسة شملت حل هذه المعادلات باستخدام بعض الطرق من الطرق التربيعية والتي هي قاعدة شبه المنحرف وقاعدة شبه المنحرف مع التصحيح وقاعدة سمسون. | The first objective is to classify and study the generalized one - dimensional integral equations that contain n one - dimensional integral operators. This study includes the existence of a unique solution for special types of these integral equations and their solutions by using some quadrature methods, namely the trapezoidal rule, the modified trapezoidal rule and Simpson's rule.The second objective is to classify and study the generalized multi - dimensional integral equations that contain n multi - dimensional integral operators. This study includes their solutions by using some quadrature methods, namely the trapezoidal rule, the modified trapezoidal rule and Simpson's rule.

طريقة مهجنه لحل المعادلات التفاضلية الضبابية من الرتبة الثانية == A Hybrid Approach for Solving Fuzzy Differential Equation of Second Order

Author name: بسمه عبد الهادي نعمة
Supervisor name: علاء الدين نوري احمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this thesis, a hybrid approach is presented by combining fuzzy Laplace transformation method and fuzzy variational iteration methods which is employed to obtain approximate solutions of linear and nonlinear fuzzy differential equations with fuzzy initial and boundary values. Then our approach is implemented in which two approaches have been constructed according to the formula of the Lagrange multiplier obtaining the lower, upper and center solutions. The experimental results which are obtained shows every high accuracy in comparison with the exact results with less number of iterations other numerical or approximate method.

الحلول العددية للمعادلات التكاملية - الجبرية == Numerical Solutions of Integral - Algebraic Equations

Author name: صفاء حسن رسول
Supervisor name: اسامة حميد محمد
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this thesis two approximate methods are implemented in order to find the approximate solutions of the linear system of Volterra integral - algebraic equations which are so - called Hat basis functions and Sample - and - Hold functions.Both methods will transform the linear system of Volterra integral - algebraic equations to a linear lower triangular system of algebraic equations using the operational matrices of integration associated with the Hat basis functions and Sample - and - Hold functions.Convergence theorem and tested examples are given in order to check the validity and efficiency of the proposed methods

حل عددي لمعادلة برجر فيشر باستخدام اسلوب مويجات هار == NUMERICAL SOLUTION VIA HAAR WAVELET APPROACH FOR BURGER'S FISHER EQUATION

Author name: نوار حازم محمد
Supervisor name: علي حسن ناصر الفياض
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: في هذه الرسالة، تم تطبيق طريقة مويجات هار بكفاءة في ايجاد الحل العددي لمعادلة برغر فيشر. اظهرت هذه الطريقة تقاربا سريعا بالنسبة الى الطرائق الاخرى. وتشير الامثلة التوضيحية الى ان استخدام طريقة المويجات تزود بطريقة قوية لايجاد الحلول العددية لمعادلة برغر فيشر. اظهرت المقارنة بين النتائج العددية والحل التام والحلول التي تم الحصول عليها باستخدام بعض الطرق التقليدية مثل طريقة التكرار التبايني (VIM), ان الطريقة المقترحة تعطي نتائج دقيقة الى حد ما لحل مسالة برجر فيشر | In this thesis, Haar wavelet method is implemented efficiently in finding the numerical solution of Burger's Fisher equation. This method shows rather rapid convergence than other existing methods. Illustrative examples are implemented to show the efficiency and the powerful of Haar wavelet approach. The comparison among the numerical results and the exact solution, and the solutions obtained by using some traditional methods such as variational iteration method (VIM) shows that the suggested scheme is fairly accurate and viable for solving Burger's Fisher problem.

الحلول العددية للمعادلات التفاضلية الخطية ذات الرتبة الكسرية المتغيرة باستخدام متعددات حدود بيرنشتاين == The Numerical Solution of Linear Variable Order Fractional Differential Equations Using Bernstein Polynomials

Author name: الشيماء عبد الفتاح عمر
Supervisor name: اسامه حميد محمد
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The main theme of this thesis is oriented about three objects : The first objective is to study the basic concepts of fractional calculus and variable - order fractional differential equations.The second objective is about solving numerically the variable - order fractional differential equations using operational matrices of Bernstein polynomials.The proposed approach will transform the variable - order fractional differential equations into the product of some matrices which can be considered as a linear system of algebraic equations, after solving the resulting system the numerical solution can be obtained.The third objective is to find the numerical solution of multiterm variable - order fractional differential equations using operational matrices of Bernstein polynomials, also the proposed method will transform the multiterm variable - order fractional differential equations into the product of matrices in other words into a system of linear algebraic equations, and the numerical solution will be reached after solving the resulting system.

تصميم وتنفيذ نظام شبكه لاسلكيه لضغظ وفك ضغط الصوره == Design and Implementation Image Compress and Decompress Wireless Network System

Author name: نور سلامة شحده
Supervisor name: علي عبد الحافظ ابراهيم
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف من هذه الرساله هو تصميم وتنفيذ نظام شبكه لاسلكيه يتكون من حاسوب شخصي رئيسي وحاسوبان ثانويان يتصلون مع بعضهم بواسطة جهاز التوجيه حيث يقوم الحاسوب الرئيسي بالسيطره والتحكم ببقية الحواسيب الاخرى للشبكه. جميع حواسيب الشبكه تتصل مع بعضها بواسطة (TCP\IP) المتحكم بالحاسوب الرئيسي للشبكه يقوم باختيار الصوره المطلوبه ويقوم بارسالها لبقية الحواسيب بحيث تقوم واحده بضغط الصور الغير ملونه والحاسوب الاخر يقوم بضغط الصور الملونه باستخدام الطرائق التاليه : تحليل المكونات الرئيسيه ، وتحليل القيمة المفرده، والطريقه الهجينه (منفصلة تحويل جيب التمام ومنفصلة تحويل المويجات) والشبكة العصبية ذي الانتشار الخلفي. حيث تتم المقارنه بين طرائق الضغط هذه تتم بالاعتماد على بعض المقاييس كنسبة الضغط ومقدار الخطا بين الصوره الاصليه والصوره المغضوطه لتوضيح دقة الصوره وبالاعتماد على الوقت المستغرق في عملية الضغط . واعطت الطريقه الهجينه افضل النتائج لان جودة الصوره المضغوطه التي تعطيها عاليه ولها نسبة ضغط عاليه وتستغرق عملية الضغط وقت قصير | The goal of this thesis is to design and implementation image compress and decompress wireless network system. The proposal wireless network system consisting of one central Personal Computer (PC) and two Personal Computers (PCs) that communicate with each other through router device. The central PC takes the responsibility of monitoring and controlling the PCs of the network. All network PCs communicate with each other by Transmission Control Protocol / Internet Protocol (TCP/IP) protocol suit. In the central PC, the network administrator selected the required image and send it to the other PCs which one of it will compress the grayscale image and other will compress the color image using the following methods : Principle Component Analysis (PCA), Singular Value Decomposition (SVD), Hybrid (Discrete Cosine Transform (DCT) & Discrete Wavelet Transform (DWT)) and Backpropagation Neural Network (BPNN). A comparison between these image compression methods is made based on some of the well - known fidelity measurements such as Compression Ratio (CR) and Mean Square Error (MSE) which have been used to assess the quality of the reconstructed image also based on the computation time of running compression process. The hybrid (DCT & DWT) method yields better results since the resulted reconstructed image has a good quality because of a lower MSE and it gives a higher CR also it takes short time for running the compression process

طريقة الاتجاه التكراري المتناوب المطورة لحل المعادلات التفاضلية الجزئية مع تطبيق على الجروح المزمنة لمرضى السكر

Author name: میلاد جمیل حمو
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Alternating Direction Implicit method (ADI) was first suggested by Peaceman and Rachford in the mid - 50s of the last century for solving systems of algebraic equations in two dimension of spaces[peaceman and rachford,1955], which results from the finite difference discretization method for solving PDEs; [Peaceman and Rachford,1955]. From iterative method’s perspective, the ADI method may be considered as a special relaxation method, where a big system is simplified into a number of smaller sub - systems, such that each of them may be solved efficiently and the solution of the whole system is then obtained from the solutions of the sub - systems in an iterative method approach, [Al - Saif and Al - Kanani,2011].The main theme of this thesis may be directed toward three objective : The first objective is to explain and clarify, in details, the alternative direction iteration method in a simple way for each type of differential equations, which is produced by rearranging the Crank - Nicholson formulation and discuss the stability, convergent and consistency of the solution using normal time steps. we preposed a new alternative direction iteration method depending on another time step, a new formula derived to give alternative direction iteration method more accurate.The second objective is to derive and study the system associated with the infected equations of patients with diabetes then the effect of oxygen in the treatment of infected wounds, the obtained system of related equations was of the first dimension, also the alternative direction iteration method could be genarlized to solve the equations of the second dimension. Then we went to re - model the part of this system of equations of the second dimension as a prelude to solve. Finally, the third objective is devoted to solve a system of equations that re - modeled by using the discussed alternative direction iteration method the results that are obtaind to find out how the stability of the system output and the accuracy of the results affect on the stages of treatment.

حول تراص الفضاءات المترية الضبابية المخروطية == About the Compactness of Fuzzy Cone Metric Spaces

Author name: عامر عبد الكريم عبد الله
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The generalization of metric spaces from ordinary sets to fuzzy set theory and then to the so called cone metric spaces is a promising topics of theoretical mathematics.Therefore, this thesis has two objectives. The first objective is to study cone metric spaces and then constructing the so called fuzzy cone metric spaces using a new direction which is based on fuzzy point. The second objective is to study the compactness of fuzzy sets in fuzzy cone metric spaces and then give the relationship among different types of compactness, such as compact fuzzy sets, pre - compact fuzzy sets, sequentially compact fuzzy sets, countable compact fuzzy sets and locally compact fuzzy set.

حلــول المعادلات التفاضليــة ذات الشروط الابتدائية - الحدوديــة الضبابيــة == Solution of Fuzzy Initial - Boundary Ordinary Differential Equations

Author name: عمار جعـفـر محيسـن الساعدي
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: ان احد اهداف دراسة موضوع نظرية المجموعات الضبابية هو لتطوير اساليب صياغة وحل المسائل التي تكون على درجة كبيرة من التعقيد او تلك التي تكون ذات تعريف غير دقيق وذلك لكي تكون مقبولة عند التعامل معها بالطرق التحليلية المالوفة. ولذلك يمكن اعتبار الضبابية على انها نوع من انواع اللادقة التي تواجهنا عند ايجاد الصياغة الرياضية لمسالة عملية والتي يكون فيها نوع من الغموض. هذا النوع من المجموعات استحدث من قبل العالم زاده في عام 1965 كاسلوب لمعالجة هذا الغموض او اللادقة في النماذج الرياضية. لهذه الاطروحة ثلاثة اهداف. الهدف الاول هو دراسة المجموعات الضبابية وبرهنة بعض النتائج المشهوره التي اما ان تكون غير مبرهنه سابقا او البراهين التي تفتقر الى التفاصيل. الهدف الثاني هو دراسة وبرهنة الوجود والوحدانية للمعادلات التفاضلية الضبابية باستخدام مبرهنة ضبابية النقطة الصامدة لشاودر. الهدف الثالث هو اعطاء مقدمة جديدة لموضوع في المعادلات التفاضلية الضبابية الابتدائية والحدودية والتي لم تتم مناقشتها مسبقا بالاضافة الى استعراض عدد من طرائق الحل. | One of the aims of study the fuzzy set theory is to develop the methodology of the formulations and the solutions of problems that are too complicated or ill - defined to be acceptable to analysis by conventioal techniques. Therefore, fuzziness could be considered as a type of imprecision that steams from a grouping of elements into classes that do not have exact defined boundaries. Such classes, introduced by Zadeh L. A., in 1965 as a tool used to describe the ambiguity, vagueness and ambivalence in the mathematical models. This thesis have three objectives. The first objective is to study fuzzy sets theory and presenting the proof of some well known results in this theory which are either not proof previously or the proofs are not given in details. The second objective is to study and proof the existence and uniqueness theorem of fuzzy differential equations using Schauder fuzzy fixed point theorem. The third objective is to give an initial introduction of the subject of Boundary Value Problems of Fuzzy Differential Equations which had not been introduced previously, as well as, some methods of solution of such type of problems

الحل العددي لدالة توزيع كاما التجميعية مع توليد متغيرات عشوائيه باستخدام طرائق محاكاة مونت كارلو == Numerical Evaluation to the Gamma Cummulative Distribution Function With Random Varietes Generating By Using Monte - Carlo Simulation

Author name: هدى مهدي احمد العبيدي
Supervisor name: اكرم محمد العبود
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: في هذه اﻹطروحه تطرقنا الى توزيع كاما لاهميته في مجالات اﻹحصاء التطبيقي.وتضمنت استعراض وتوحيد لخواص التوزيع الرياضيه واﻹحصائيه والعزوم والعزوم العليا وتم مناقشة طريقتين لتخمين معلمات التوزيع نظريا واختبرت عمليا. اقترحت طريقه جديده لتقريب دالة التوزيع التجميعية وقورنت نتائجها مع نتائج اربعة طرق معروفه للتقريب واظهرت المقارنه قوة الطريقه المقترحه.واخيرا تطرقنا الى خمس اساليب لتوليد متغيرات عشوائيه حيث قورنت كفاءة هذه الطرق نظريا وعمليا باستخدام محاكاة مونت كارلو. | In this thesis the gamma distribution is considered for the reason of it’s appearance in many statistical fields of applications. Some mathematical and statistical properties of the distribution are collected and unified. Moments and higher moments are illustrated and two methods of estimation for the distribution parameters are discussed theoretically and assessed practically. A new proposed method of approximation to the cumulative distribution function is derived and it showed practically a high performance in comparison with four well known methods of approximation.Finally five procedure for generating random variates from gamma distribution are discussed and their efficiencies are compared theoretically and practically by Monte - Carlo simulation.

الحلول العددية للمعادلات التفاضلية الضبابية باستخدام طريقة الخطوات الخطية المتعددة == The Numerical Solution of Fuzzy Differential Equations Using Linear Multistep Methods

Author name: استبرق محمد خليل عبد الخالق العاني
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
Language: English
University location: Baghdad
Key words:
  • المجموعات الضبابية
  • المعادلات التفاضلية الضبابية
  • وجود ووحدانية حلول المعادلات التفاضلية الضبابية
  • الحلول العددية للمعادلات الفاضلية الضبابية
First pages:
Abstract: الهدف الرئيسي للاطروحة يتمركز حول ثلاث محاور. المحور الاول، هو دراسة المبرهنات الضبابية مع الخواص الاساسية المتعلقة بالمعادلات التفاضلية الضبابية.المحور الثاني، هو لدراسة وبرهنة مبرهنات الوجودية والوحدانية لحلول المعادلات التاضلية الضبابية باستخدام منطلقين، المنطلق الاول باستخدام مبرهنة برور (Brower fixed point theorem) والمنطلق الثاني هو باستخدام مبرهنة شاولدر (Schauder fixed point theorem) اضافة الى ذلك فان المحور الثاني يتضمن ايضا دراسة الحلول التحليلية والحلول العددية للمعادلات التفاضلبة الضبابية.اما المحور الثالث، فهو لدراسة احد التطبيقات الحياتية وهو قياس كمية اضمحلال الاوكسجين المذابة في الماء وكذلك حسابه عدديا ومقارنته بالحلول التحليلية | The main theme of this thesis is oriented toward three objectives.The first objective is a study to fuzzy set theory with some basic properties related to differential equations.The second objective is a study and proves of the existence and uniqueness theorem of fuzzy differential equations using two approaches, the first is by Brower fixed point theorem and the other by Schauder fixed point theorem. Furthermore, the analytical and numerical solutions of some namely fuzzy differentials equations are given.The third objective is to study the real life application, which is modeling and solution of the decay of the biochemical oxygen demand in water using fuzzy set theory, as well as, the numerical solution and compared with the exact solution

حول حلول معادلات ليبانوف == About The Solutions of Lyapunov Equations

Author name: عماد عباس كوفي الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: الغرض الرئيسي من هذا العمل يمكن تقسيمةالى ثلاثه اقساماولا دراسة وجود ووحدانية الحل لانواع خاصة من معادلات المؤثرات الخطية والتي هي معادلة ليبانوف.ثانيا دراسة ومناقشة المدى لشبة اشتقاق * جوردن.ثالثا قدمت الدراسة لطبيعية حل نوع لمعادلة لبيانوفو التي هي معادلة "stein". | The main purpose of this work can be divided in to three aspects.First, a study of the existence and uniqueness of the solution for special types of linear operator equations, namely the Lyapunov equation.Second, a discussion of the range for the quaii - Jordan* - derivation.Third, some special types of Lyapunov equation, namely stein equation

امكانية وجود حل وقابلية السيطرة لمسالة سيطـرة شبـه خطيـة ذات قيمـة ابتداية بواسطة اسلوب شبه الزمرة == Solvability and Controllability of Semilinear Initial Value Control Problem Via Semigroup Approach

Author name: مناف عدنان صالح
Supervisor name: راضي علي زبون الساعدي | احلام جميل خليل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The aim of this thesis is to prove the existence and uniqueness of the mild solutions of semilinear initial value control problems in a suitable Banach spaces as well as their controllability. Some theorems regarding controllability, local and global existence as well as uniqueness of the mild solution in infinite dimensional spaces have been developed in suitable Banach space using the Schauder fixed point theorem and the semigroup theory (compact semigroup). By using the Banach contraction principle and the semigroup theory (analytic semigroup) in infinite dimensional spaces, have been discussed and developed in suitable Banach spaces the local existence and uniqueness of the mild solution to the semilinear initial value control problem. Some illustrations and practical scopes of the problems have been discussed and present.

دراسة كفاءة طرق التقدير لمعلمات توزيع القيمة المتطرفة باستخدام معاينة مونت كارلو == Study of Efficient Estimation Methods for theparameters of Extreme Value Distribution byUtilizing Monte Carlo Sampling

Author name: فادي عادل ابراهيم يونان شعبو
Supervisor name: اكرم محمد العبود | زينب عبد النبي سلمان
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: In this thesis, we consider the extreme value distn. of two parameters for the reason of its appearance in many statistical fields of applications. Mathematical and statistical properties of the distn. such as moments andhigher moments are collected and unified and the properties of reliability and hazard functions of the distn.are illustrated.The chi - square goodness - of - fit is used to test whether the generated samples from the standardized extreme value distn. by Monte Carlo simulation are acceptable for use.These samples are used to estimate the distn.parameters by four methods of estimation, namely moments method, maximum likelihood method, order statistic method and least squares method.These methods are discussed theoretically and assessed practically in estimating the reliability and hazard functions. The properties of the estimator, reliability and hazard functions, such as bias, variance, skewness, kurtosis, and mean square error are tabled.The computer programs are listed in three appendices and the run is made by using "MathCAD 14".

حـول دراسة الحل التقريبي لمسالة السيطرة الخطية - التربيعية المثلى ذات البعد اللانهائي بواسطـة اسلـوب شبـه الزمـرة == On the Approximate Solution of Infinite Dimensional Linear - Quadratic Optimal Control Problem Via Semigroup Approach

Author name: علـــي عبد الكاظـم رحيمة الزبيدي
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: ينصب الهدف الرئيسـي لهـذه الاطروحـــة علــــــى فهــم وتطويــــر بعـــض الاساليـب التقريبية لمسالــة السيطـرة الخطيــة - التربيعية المثلـــــى(linear quadratic optimal problem) ذات البعد اللانهائي والمؤثرات التفاضلية الجزئية (Partial Differential operators) . كــذلك قدمـت المبادئ الرياضيــة الضـروريـة للمسالـة المطــروحة مدعومة بتعليقات رياضيــــة مهمة. وفي عملنا هــذا تم تناول التقريب المنتهي (finite approximation) لمسالـة السيطـرة الخطيــة - التربيعية المثلــى ذات البعد اللانهائي. كما وقد تم تطوير خوارزمية حسابية معتمدة على بعض نظريات التحليل الدالي من اجل حل المسالة قيد الدراسة , اضافة الى تقديم ومناقشـة بعض الملاحظات الاستنتاجيــة الضرورية التي تدعهما الامثـــلة الرامية الى توضيح هذه الخوارزمية. كما وتمت دراســة تقارب الحلول المثلى لمسالة السيطرة الناجمة عن هــذه الخوارزميـــة . واضافة الـــى ذلك تم برهنــة وتطوير بعض المستنتجات والحقائق الرياضيـــة (lemmas and mathematical facts) المفيدة التي يراد منها دعـــم هذا الاسلوب المقترح. وقد تم اختبار اسلوبين تقريبين مختلفين لتقريـــــب مسالـة السيطـرة الخطيــة - التربيعية المثلـــــى الممثلـــــة بمعادلــــة الانتشار - التوصيل الحـراري (convection - diffusion equation) احادية البعــد , اضافة الى دراسة المقارنة بينهما وعرض النتائج فــي الاشكال الرياضية. كما وقدمت ودرسـت نقاط القوة والضعف (advantages and drawbacks) لهذا الاسلوب المقترح من خلال دراســة مسالة الانتشار - التوصيل الحراري وتنفيذها خطوة - خطوة عبر استخدام الخوارزميـــة الحسابية المقتـــرحة. | The main focus of this thesis is to understand and develop some approximation techniques for infinite dimensional linear quadratic optimal control problem, where the governed equations is a partial differential equations. The necessary mathematical background principal of the problem have been presented and supported by useful mathematical comments.In this work, the finite approximation of infinite dimensional linear - quadratic optimal control problem has been considered. A computational algorithm based on some functional analysis theorems to solve such a problem has been developed . Essential concluding remarks supported by examples to clarify the proposed algorithm is also presented and discussed. The convergence of optimal control resulted from the presented algorithm have been studied.Some lemmas and useful mathematical facts have been proved and developed to supported the proposed approach.Two different approximation schemes to approximate a linear quadratic optimal control problem governed by one dimensional convection - diffusion equation defined in equation (3.1), have been tested and illustrated step by step using the this proposed schemes. The comparison between the two schemes have also been studied and the numerical results are shown in Figures. The advantages and disadvantages of the proposed approach have been presented and studied, using convection - diffusion problem.

حول حلول المتراجحات التكاملية == ON THE SOLUTIONS OF THE INTEGRAL INEQUALITIES

Author name: سرى علي العزاوي
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:

تقريب الدوال باستخدام دوال السبلاين - G وتعميمها الى فضاءات ثنائية الابعاد == Functions Approximation Using G - Spline and its Generalization to Two - Dimensional Spac

Author name: اسامة حميد محمد
Supervisor name: فاضل صبحي فاضل | اكرم محمد العبود
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: يعد موضوع " نظرية التقريب " احد اهم المواضيع في الرياضيات التطبيقية لما له من دور كبير في شتى اصناف العلوم. وكحالة خاصة من هذا الموضوع هناك نوع من الدوال تسمى دوال السبلاين، حيث اثبتت هذه الدوال كفائتها في العديد من فروع الرياضيات منها التحليل العددي، المعالجات العددية للمعادلات التفاضلية الاعتيادية والجزئية بالاضافة الى المعادلات التكاملية والاحصاء، الخ.الهدف الرئيسي للاطروحة يدور حول محورين مهمين وهما : 1 - تقريب الدوال باستخدام نوع خاص من دوال السبلاين والذي يدعى "سبلاين - G" وقد تم دراسة هذا الموضوع بالتفصيل بالاضافة الى برهنة نتيجة وبعض القضايا المساعدة من اجل تحقيق خاصية الكمال.2 - تقريب السطوح باستخدام دوال " السبلاين - G " (تعميم صيغة الـ "سبلاين - G" الى فضاءات ثنائية الابعاد). حيث تضمن ذكر نص وبرهان نظرية الوجود والوحدانية لهذه الصيغة بالاضافة الى نص وبرهان نظرية تثبت بان هذه الصيغة هي الصيغة المثلى. | The first objectives of this thesis, is oriented towards function approximation using special type of spline, which is called the "G - spline" including the details of the subject and the proof of some lemmas and corollary for completeness.The second objective of this work is the generalization of G - spline functions for two - dimensional spaces including the statement and proof of the existence and uniqueness theorems as well as the statement and proof of the optimality of two - dimensional G - spline functions.

دراسة تحليلية وطرق تقريبية لحل المعادلات التفاضلية الجزئية ذات الرتب الكسرية == Analytical Study and Approximated Methods for Solving Fractional Order Partial Differential Equations

Author name: شذى احمد عزيز
Supervisor name: عمر محمد عبد المجيد الفاعور
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
Language: English
University location: Baghdad
First pages:
Abstract: الاهتمام الاساسي في هذه الاطروحة ينصب على تاسيس خلفية نظرية لتعريف ريمان - ليوفيل (Riemann - Liouville) للاشتقاق والتكامل الكسري لدالة لاكثر من متغير وكذلك حل نوع معين من المعادلات التفاضلية الجزئية ذات الرتب الكسرية باستخدام بعض الطرق التقريبية، حيث تم استخدام نظرية النقطة الثابتة (Banach fixed point theorem)لبرهان وجود ووحدانية الحل لهذا النوع من المعادلات. تم استخدام طريقتين من طرق البواقي الموزون (weighted residual method) وهما طريقة التجميع (collecation) وطريقة كاليركن (Galerkin) لمعالجة هذه المعادلات بصورة تقريبية، حيث تم استحداث صيغة جديدة للتقريب باستخدام متعددة الحدود ثنائية الابعاد (two dimensional polynomial approximation) وتم استخدامها لتقريب الدالة المجهولة. كذلك تم برهان قضية مقترحة (proposition) لايجاد شكل عام للمشتقة الكسرية لهذا التقريب. وقد تم استخدام هذا الشكل العام لانشاء طريقة جديدة بسيطة كفوءة والتي تم تسميتها طريقة التقريب بمتعددة الحدود ((polynomial approximation method. اضافة الى ذلك فقد تم مناقشة تقارب واستقرارية الطرق التقريبية الثلاثة. وفي النهاية تم كتابة برنامج لكل واحدة من هذه الطرق باستخدام MatLab (v. 6.5). | This thesis is concerned basically with establishing theoretical background for the Riemann - Liouville definition of fractional differentiation and integration of the function of several variables and solving certain type of fractional partial differential equations using some approximated methods. Banach fixed point theorem has been used to prove the existence and uniqueness of a solution to this type of equations. Two weighted residual methods (collocation and Galerkin) have been used to treat these equations approximately, where a new formulation for the two dimensional polynomial approximation has been established and used to approximate the unknown function. Also, a proposition has been proved to find a general result for the fractional derivative of this approximation. This general result has been used to construct new simple, but efficient, method called polynomial approximation method. Moreover, the convergence and stability of all the three approximated methods have been investigated. Finally, a program for each one of these methods, has been written with the aid of MatLab (v. 6.5) in order to take the whole benefit of these techniques.

حول استقرارية المعادلات التفاضلية الضبابية == About the Stability of Fuzzy Differential Equations

Author name: حسن صديق عبد اللطيف الوتاري
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: ان دراسة استقرارية المعادلات التفاضلية الضبابية هو احد اهم المواضيع في نظريات المجموعات الضبابية, ذلك لانه يقوم بدراسة سلوك حل النظام الضبابي بدون الحاجة الى القيام بحل تفصيلي له, ويكون الحل موجه بطريقتين رئيسيتين : 1 - الطريقة الاولى تختص في البحث عن متعددات الحدود الذاتية والتي تكون على الاغلب مع الانظمة التفاضلية الضبابية الخطية.2 - اما الطريقة الثانية فهي لدراسة استقرارية الانظمة التفاضلية الضبابية باستخدام دالة ليبانوف واحيانا ما يعرف بالطريقة المباشرة لليبانوف لدراسة مدى استقرارية النظام.لهذا فان الهدف الاساسي لهذه الاطروحة هو لاستخدام دالة ليبانوف (الطريقة المباشرة لليبانوف) لدراسة استقرارية نظام المعادلات التفاضلية الضبابية بدون الحاجة الى حل النظام تفصيليا, اضافة الى دراسة بعض البراهين وكذلك النتائج التي تساير استقرلرية الانظمة الضبابية | Stability of fuzzy differential equations is one of the most important tasks in fuzzy set theory, since studying the behavior of the solution of the fuzzy differential system without solving the system explicitly fall into two categories : (i) Theorems dealing with characteristic polynomials associated with linear or almost linear system.(ii) The second method of Liapanov or sometimes is called the direct method of Liapanov.Therefore; the main objective of this thesis is to use the second approach (direct method of Liapanov) to study the stability of system of fuzzy differential equations without solving the system explicitly and studying and prove some additional results indulging fuzzy stability

تخمين قيمي لحلول انواع خاصه من المعادلات التفاضلية التباطؤية == MAGNITUDE ESTIMATION OF SOLUTIONS FOR SPECIAL TYPES OF DELAY DIFFERENTIAL EQUATIONS

Author name: انتصار سويدان علي العيساوي
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف الاول : هو دراسة المعادلات التغاضليه الاعتيادية ذات الازاحات الزواية المنحرفة.الهدف الثاني : هو تخمين قيم الحلول لانواع خاصة من المعادلات التفاضلية الخطية واللاخطية ذات الازاحات الزواية المنحرفة حتى نتمكن من حلها باي طريقه مناسبة.الهدف الثالث : هو تبني دراسة وجود حل وحيد مقيد لانواع خاصة من المعادلات التفاضلية الجزئية ذات الازاحات الزواية المنحرفة.الهدف الرابع : هو تخمين قيم الحلول لانواع خاصة من المعادلات التفاضلية الجزئية ذات الازاحات الزواية المنحرفة من ذوات الرتبة الاولى والثانية

مسيطر عصبي غير خطي لحزمه من الانظمة الديناميكية اللا خطية غير المحددة == Nero - Controller of a Class of Uncertain Nonlinear Dynamical Control System

Author name: علياء حسين ناصر الجنابي
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Dynamic Systems
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: لقد اصبحت انظمة السيطرة في يومنا هذا جزء مهم ومكمل لحياتنا حيث انها تدخل في معظم الاشياء ابتدا من الاجهزة المنزلية الكهربائية الصناعية الى صناعة الطائرات والمركبات الفضائية . تشترك انظمة السيطرة الاوتوماتيكية بصفات موحدة رغم الاختلافات في الاشكال لكي تجعل من النظام قيد الدراسة يتصرف بسلوك مقبول . يعتبر نظام السيطرة الغير الخطي من اهم التطبيقات الشبكية العصبية الاصطناعية (Artificial Neural Network) (Neuro - Controller) في هذه الرسالة لقد تم تطوير مسيطر عصبي غير خطي يعتمد على نظام الشبكية العصبي يهدف الى التعويض والتصحيح والموازنة في بعض انظمة السيطرة الديناميكية غير الخطية.يضمن مشروع العمل الى الاستقرارية ,تقليص الخطا ,فلترة النتائج,(Neural Network Weights)لقد تم اشتقاق وتنظيم وتدريب اوزان الشبكة العصبية المستعملة بالاعتماد على اسلوبية دالة ليابانوف. (Lyapunov Function approach) لتحقق من فاعلية عملنا نفذنا على الحاسبة الالكترونية بعض انظمة السيطرة الدينامية غير الخطية وكانت النتائج جيدة بما فية الكفاية لتعويض والسيطرة (Uncertain nonlinear function) على الجزء غير الخطي غير المحدد في نظام السيطرة غير المحدد . واخيرا لقد تم عرض بعض المفاهيم الرياضية الضرورية والاستنتاجات المهمة والعمل المستقبلي مدعوم باشكال ورسومات لاكمال طرح وافي للعمل. | Today automatic control systems have become an integrated part of our life. They appear in every things from simple electronic household products to air planes and spacecrafts. Automatic control systems can take highly different shapes but common to them all, is their function to manipulate a system so that it behaves in a desired fashion. Control of nonlinear systems is a major application area for neural networks. The control design problem will be approached in two ways : direct design methods and indirect design methods, and the network must be trained as the controller according to some kind of relevant criterion. In this thesis, nonlinear neuro - controller using neural network based actuator compensation scheme for nonlinear dynamical control system is presented. The scheme that leads to stability, target following, tracking error and filtered error is proved . The tuning of artificial neural network weights for controller are derived and adjusted based on Lypanove function approach. The verification of this scheme has been implemented using first order, 2 - dymensional, nonlinear dynamical Pendulum problem and 1st order 3 - dymensional nonlinear dynamical control system. The simulation can effectively compensate for the uncertain nonlinearity in the nonlinear uncertain dynamical control system. Necessary mathematical concepts, comments, concluding remarks, future works, figures and graphers, have also been presented

مخمن دينامي غير خطي لطائفة من انظمة السيطرة الدينامية غير الخطية == NONLINEAR DYNAMIC OBSERVER FOR A CLASS OF NONLINEAR DYNAMIC CONTROL SYSTEMS

Author name: فاطمة صاحب كاظم الطائي
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Dynamic Systems
Degree: Master
Language: English
University location: Baghdad
Key words:
  • Control systems
  • Observer
  • Differential equations
  • Numerical solution of dynamic system
First pages:
Abstract: في هذه الاطروحه المتواضعة, لقد تم عرض وتطوير مشروع عمل جديد لبعض انظمة السيطرة غير الخطية وتصميمها, مستندين على قاعدة رياضية مدعومة بالبراهين الضرورية اللازمة ومرفق معها الخوارزميات العددية الضرورية.لقد تم كذلك عرض بامانه قدر الاستطاعة بعض الاستنتاجات والملاحظات المهمة والضرورية ومدعومة ببعض الامثلة | In this thesis, a new scheme and procedure for nonlinear dynamical control system design are proposed and developed. The proposed scheme is based on some suggested theorems. The proofs of the presented Theorems as well as their computational algorithm have been developed and presented. The concluding and necessary remarks have also been discussed.Some illustrations have also been implemented.

مبرهنة وجود ووحدانية حلول بعض المعادلات الضبابية ذات الرتب الكسرية == Existence and Uniqueness Theorem of Some Fuzzy Fractional Order Differential

Author name: رسل نجم عبد الله الحسيني
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: ينقاد الهدف اللرئيسي لهذه الرسالة الى هدفين رئيسيين.الهدف الاول سن ودراسة نوع جديد من المعادلات التفاضلية والتي سوف تسمى بالمعادلات التفاضلية الاعتيادية الضبابية الكسرية. هذا النوع من المعادلات هو الربط بين نظريتين مختلفتين في الرياضيات وهي تظرية المجموعة الضبابية (Fuzzy Set Theory) ونظرية الحساب الكسري(Fractional Calculus) حيث تتضمن الدراسة امثلة توضيحية، وطرق نظرية وعددية للحل. الهدف الثاني هو صياغة وبرهان نظرية وجود ووحدانية حلول المعادلات الضبابية ذات الرتب الكسرية باستخدام نظرية سادوفسكي للنقطة الصامدة (Sadovislii's fixed point ). | The main objective of thesis is oriented toward two objectives. The first objective is to introduce and study new type of differential equations, which are the so called fuzzy fractional order differential equations. This type of equations is the collection between two different theories in mathematics which are fuzzy set theory and theory of fractional calculus, where the study include some illustrative examples and theoretical aspects. The second objective is the statement and proof of the existence and uniqueness theorem of fuzzy fractional order differential equations using Sadoviskii’s fixed point theorem

حول المعادلات التكامليه ذات الابعاد المتعددة == On the Multi - Dimensional Integral Equations

Author name: لمى لؤي عبد اللطيف النعيمي
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Integral Equations
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف الرئيسي من هذا العمل هو تعميم دراسة المعادلات التكاملية ذات البعد الواحد الى دراسه المعادلات التكاملية ذات الابعاد المتعددة. هذه الدراسة شملت تصنيف المعادلات التكاملية والمعادلات التكاملية التفاضلية ذات الابعاد المتعددة.كما قمنا باعطاء بعض النظريات الموسعة لوجود ووحدانية الحلول للمعادلات التكاملية ذات الابعاد المتعددة. بالاضافة الى ذلك قمنا بتعميم بعض الطرق لحل المعادلات التكاملية ذات الابعاد المتعددة. | The main aim of this work is to generalize the study of the one - dimensional integral equations to include the multi - dimensional integral equations. This study includes the classification of the multi - dimensional integral and integro - differential equations.Also, some extended theorems for the existence and uniqueness of solution for the multi - dimensional integral equations are given.Moreover, some generalized methods are used to solve the multi - dimensional integral equations, with some illustrative examples.

حول مسائل القيم الحدودية الدورية للمعادلات التكاملية التفاضلية الاعتيادية

Author name: نور قاسم امين الموسوي
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Integral Equations
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف الرئيسي من هذا العمل مصنف الى اربع محاور والتي يمكن تلخيصها كالاتي : الهدف الاول : دراسة مبرهنات وجود ووحدانية الحلول لمسائل القيم الحدودية الدورية للمعادلات التفاضلية الاعتيادية .الهدف الثاني : تبني مبرهنات الوجود للحلول الحرجة لمسائل القيم الحدودية الدورية السابقة .الهدف الثالث : اعطاء مبرهنات وجود ووحدانية الحلول لمسائل القيم الحدودية الدورية للمعادلات التكاملية التفاضلية الخطية واللاخطية الاعتيادية . كذلك اعطاء مبرهنات الوجود للحلول الحرجة لمسائل القيم الحدودية الدورية للمعادلات التكاملية التفاضلية .الهدف الرابع : حل مسائل القيم الحدودية الدورية للمعادلات التكاملية التفاضلية باستخدام طرق المفكوك | The main aim of this work is classified into four objects, these are summarized as follows : The first objective is to study the theory of existence and the uniqueness of the solutions for the periodic boundary value problems of the differential equations.The second objective is to devote the existence theorems of the extremal solutions of the above periodic boundary value problems.The third objective is to give the existence and the uniqueness theorems of the solutions for the periodic boundary value problems of the linear and nonlinear ordinary integro - differential equations. Also, the existence theorems of the extremal solutions for the above periodic boundary value problems is introduced.The fourth objective is to solve the periodic boundary value problems for ordinary integro - differential equations by using the expansion methods.The numerical solutions of chaotic Lorenz and Chua’s system before and after controlling their behaviors are simulated and shown in graphs and tables.

اسلوب مطور لاشتقاق بعض طرائق رانك كوتا == A Novel Approach for Deriving Some Runge - Kutta Methods

Author name: ارشد ادهم احمد
Supervisor name: فاضل صبحي فاضل | اكرم محمد العبود
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The objective of this thesis studying and deriving with some modification as a new approach of Runge - Kutta method including explicit, semi - explicit and implicit methods as well as studying stability of convergence of these methods.Also, one of most important themes of the thesis is to introduce variable step size and variable order methods using an extrapolation method which has the utility of controlling the local truncation error to be less than a prespecified tolerance error

الاحصائيات المرتبة لبيانات المراقبة من الصنف الثاني والموزعة اسيا والمتاثرة بوجود المتغيرات التفسيرية == ORDER STATISTICS FOR TYPE II CENSORED EXPONENTIALLY DISTRIBUTED DATA IN ACCORDENCE OF EXPLANATORY VARIABLES

Author name: رشا عبد الحسين علي النعيمي
Supervisor name: اكرم محمد العبود
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: في هذه الاطروحة، تطرقنا لنماذج الانحدار لبيانات البقاء المراقبة من الصنف الثاني في حالة كون التوزيع الاساسي هو التوزيع الاسي او غاما حيث ان تاثير المتغيرات التفسيرية على المعدلات معطاة بالنموذج : طرق ثلاث من التخمين قد اعتمدت لتخمين معالم الانحدار وهي طريقة الامكان الاعظم (ML)، طريقة المربعات الصغرى الموزونة WLS))، وطريقة المربعات الصغرى الموزونة المقترحة SWLS)). هذه الطرق قد اختبرت نظريا وفحصت عمليا باستخدام محاكاة مونت كارلو في حالة وجود متغير تفسيري واحد.خواص العزوم والعزوم العليا مثل التحيز، التباين، الالتواء، والتفلطح قد جدولت وقورنت.واخيرا اقترحنا مخمن متحيز مخفض جديد لمخمن الامكان الاعظم (ML) واظهر اداء اكثر كفاءة بالنسبة للمخمنات الاخرى. | In this thesis, we consider a regression models for survival censored data of type II in which the underling distributions are exponential or gamma where the effect of the regressor variables on the means is multiplication given by the model Three methods of estimation for the regression coefficients are considered, namely maximum likelihood (ML), weighted least squares (WLS), and suggest weighted least squares (SWLS). These methods are discussed theoretically and examined practically by Monte Carlo simulation for the case of a single explanatory variable.Moments and higher moments properties of the estimators, such as, bias, variance, skewness, and kurtosis are examined, illustrated and compared.Finally, a new bias reduction estimator to the ML estimator is proposed and shows a higher performance with respect to the other estimators.

طرق الفروقات المنتهية لحل بعض المعادلات التفاضلية الكسورية == SOME FINITE DIFFERENCE METHODS FOR SOLVING Fractional Differential Equations

Author name: ليلان صدقي محمد غريب
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: الهدف الرئيسي من هذا العمل هو دراسة الحلول العددية لانواع خاصة من المعادلات التفاضلية باستخدام طرق الفروقات المنتهية مع استقراريتها. هذه الدراسة شملت المحاور التالية : 1. طرح بعض التعاريف للمشتقات الكسورية الاعتيادية مع تعميمها للمشتقات الكسورية الجزئية.2. دراسة وجود الحلول والحلول المتطرفة لانواع خاصة من المعادلات التفاضلية الكسورية الاعتيادية.3. استعمال طرق الفروقات المنتهية الصريحة والضمنية مع استقراريتها لحل انواع خاصة من المعادلات التفاضلية الكسورية الاعتيادية والجزئية ذات الجهة الواحدة وذات الجهتين. | The main purpose of this work is to study the numerical solutions for special types of the fractional differential equations via the finite difference methods with their stability. This study includes the following aspects : 1. Give some definitions of the fractional order ordinary derivatives with their generalization for the partial ones.2. Study the existence of the solutions and extermal solutions for special types of the fractional order ordinary differential equations.3. Use the explicit and the implicit finite difference methods with a study of their stability to solve special types of the one - sided and two - sided fractional order ordinary and partial differential equations.

حـل المعادلات التفاضـلية الاعتيادية ذات الرتـب الكسـرية والمعاملات الثابتـة باستخـدام تحـويل لابـلاس == Laplace Transform Method for Solving Ordinary Fractional Order Differential Equations with Constant Coefficients

Author name: فـرح انـور فـرجـو
Supervisor name: علاء الدين نوري احمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: حسبان التفاضل والتكامل ذات الرتب الكسرية هو احد فروع الرياضيات التحليلية التي تمكن امكانية اعتماد عدد حقيقي كرتبة للمعادلات التفاضلية. وان هناك عدة انواع مختلفة من المشتقات الكسرية مثل ريمان - لوفيل (Riemann - Liouville) وكبوتو (Caputo) وهادمرد (Hadamard) وغيرها قد طورت.لقد قمنا بهذا البحث بتطوير تطبيقات تحويل لابلاس (Laplace Transform) لاستنباط حل للمعادلات التفاضلية الخطية المتجانسة والغير متجانسة التي تحتوي على رتب كسرية متعددة والتي تتضمن المشتقات ذات الرتب الكسرية لريمان - لوفيل (Riemann - Liouville) ذات المعاملات الثابتة بدلالة دوال خاصة تسمى دالة متيج لفلر Mittag - Leffler Function، وباستخدام تحويل لابلاس لهكذا دوال ومشتقاتها.وقد تم حل عدة امثلة خلال هذا البحث لتوضيح صيغ الحلول التي تم استنباطها | Fractional Calculus is a branch of mathematical analysis that satisfies the possibility of considering the power of the differential operator as a real number. Several different families of fractional derivatives (such as, Riemann - Liouville, Caputo, Hadamard and others) are developed.In this work, we are investigate the applications of the Laplace transform to construct the solution of homogenous and nonhomogene ous linear differential equations having multi - arbitrary fractional order derivatives involving the Riemann - Liouville fractional derivatives with constant coefficients in terms of special function called “Mittage - Leffler Function” by using Laplace transform formula for such special function andtheir derivatives.Several examples are solved to demonstrate our constructed solutions formulas

تحضير والدراسة التركيبيه والفعالية البايولوجية لمعقدات بعض العناصر الانتقالية لعض مشتقات ثلاثي الثايوكاربانيت الجديدة == Synthesis,Structural ,AndAnti bacterial Activity Studiesof SomeTransitionMetal Complexesof New SomeTrithiocarbonateDerivatives

Author name: هدى قاسم جبر
Supervisor name: محاسن فيصل الياس | اياد حمزة جاسم
General topic: Chemistry
Specific topic: Chemistry
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: The new ligands have been prepared in this work (potassium 2 - carbomethoxy amino 5 - 5trithiocarbonate 1,3,4 - thiadiazole ) (LI) was prepared from 2 - carbomethoxy amino - 5 - mercapto 1,3,4 - thiadiazole with CS2 in alkali media , while the second ligand was prepared from 2 - N(4 - N,N - dimethylamino benzyliden) - 5 - mercapto 1,3,4 - thiadiazole with CS2 and in alkali media to obtain potassium 2 - N( 4 - N,N - dimethylaminobenzyliden )4 - trithiocarbonate 1,3,4 - thiadiazole ( LII).The products were isolated and characterized by appropriate physical measurement , vibrational and electronic spectroscopy .The new ligands have been used to prepare a number of new complexes with the selected metal ions Cd(II), Cu(II) , Ni(II) , Co(II) , Fe(III) , and Mn(II) . These complexes were studied and characterized using FT,IR, UV - Vis. spectra, molar conductivity, magnetic susceptibility , melting point , and atomic absorption measurement. We concluded that the [Cu2L2Cl2(H2O)2]. 3C2H5OH, [Ni L2 Cl2].2H2O, [Fe2L2(OH) 2 Cl4] .4H2O and [Mn L2 (H2O)2] . 2H2O have octahedral geometry while [Cd L2]. 3C2H5OH and [Co L H2O Cl ].3H2O have tetrahedral geometry for the complexes of LI. While octahedral geometry for the complexes of LII for the [Cu L2 (H2O)4 Cl2].2H2O , [Mn L2 (H2O) (OAc)].3 H2O [Ni L2 (H2O)2 Cl2].C2H5OH , [Fe2 L4 (OH) 2].5H2O and [Co2L2(H2O)4Cl2]. 2.5 C2H5OH ,But [Cd L2]. 4C2H5OH have tetrahedral geometryDifferent bonding and structural behavior were revealed through the study of the coordination chemistry of the metal complexes of the new ligands.The nature of bonding between the metal ion and the donor atom of the ligands were demonstrated through the calculated Racah parameter and the other ligand field parameters,which were calculated using the suitable Tanaba - sugano diagram.The antibacterial activity for the ligands and their metal complexes were studied against two selected microorganisms pseudomonas earuginsa and staphylococcus aureus using ( 10mM ) and ( 5mM ) concentration in nutrient agar medium . The results were showed a great enhancement of activity of some complexes relative to that of their respective ligands , these were attributed to the synergetic effect between the metal ion and the ligand , in addition to the differencein the structural varieties

تناسق معقدات بعض ايونات العناصر الانتقالية في المنصهر الايووي بدرجة حرارة الغرفة لمزيج املاح كلوريد الكوليه / حامض الترتريك == Coordination of some transition metal ion complexes in choline chloride/tartaric acid room temperature ionic liquid

Author name: فرح عواد احمد
Supervisor name: هادي محمد علي عبود
General topic: Chemistry
Specific topic: Chemistry
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: Some transition metal chlorides, CrCl3.6H2O, FeCl3.4H2O, CoCl2.6H2O, NiCl2.6H2O and CuCl2.2H2O were investigated spectroscopically in the newly prepared choline chloride/ tartaric acid ionic liquid at room temperature. They were found to be soluble as their solubilities were determined by measuring the dissolved metal in ionic liquid by atomic absorption.The UV - Visible measurements of the transition metal cations of Cr3+, Fe3+, Co2+, Ni2+ and Cu2+ showed a complex formation with the above ionic liquid solvent giving an octahedral geometry shape for (Cr3+) and tetrahedral for the (Fe3+, Co2+, Ni2+ and Cu2+). The solutions were found to be conductive. It was difficult to obtain the result by the infrared measurements because of the viscose nature of this solvent; therefore the complexes are the same as the ionic liquid in measurements.The resultant solutions were also investigated by substitution of solvent ligands by oxalic acid and EDTA salt. The added ligands showed an increase in the absorption energies indicating the occurrence of substitution reaction and weak coordination of the ionic liquid to their metal.Jorgenson rule was used to assist the suggestion of the type of ligands coordinated to transition metal cations. The nature of the bonding between the metal ions and the donor ligands was demonstrated through the Jorgenson rule and calculation of Racah parameters was obtained from appropriate dn Tanabe - Sugano diagrams together with the qualitative assistance of Orgel diagrams.

تحضير ، تشخيص ودراسة الخواص البلورية السائلة لمركبات جديدة تحتوي على حلقة 1،2،4 اوكسادايازول == Synthesis, Characterization and study of Liquid Crystalline Properties For compound Containing 1,2,4 - Oxadiazole ring

Author name: زينب حسن فليح
Supervisor name: نسرين رحيم جبر
General topic: Chemistry
Specific topic: Chemistry
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: This study is concerned with the synthesis and characterization of two new series 3 - (4 - pentoxyphenyl) - 5 - (4΄ - substituted phenyl) - 1,2,4 - oxadiazole and 3 - (4 - pentoxy benzoyloxyphenyl) - 5 - (4΄ - alkoxy benzoyloxy phenyl) - 1,2,4 - oxadiazole of fifteen new compounds.The first series 3 - (4 - pentoxyphenyl) - 5 - (4΄ - substituted phenyl) - 1,2,4 - oxadiazole of ten compounds with the structural formula(6)a - jThis was prepared as following : at first by reaction of p - hydroxy benzaldehyde (1) with hydroxyl amine hydrochloride to give p - hydroxy benzaldoxime (2) which then dehydrated by acetic anhydride to give p - hydroxy benzonitrile (3). Alkylation of compound (3) give p - pentoxy benzonitrile (4) and this compound react with hydroxyl amine hydrochloride to give 4 - petoxy benzamidoxime (5) which finally react with p - substituted benzoyl chloride to give 3 - (4 - pentoxyphenyl) - 5 - (4΄ - substituted phenyl) - 1,2,4 - oxadiazole (6)a - j.VINNOC5H11OXX= CnH2n+1 (n=1 - 5) ,F,Cl , Br,I and NO2The second series 3 - (4 - pentoxy benzoyloxyphenyl) - 5 - (4΄ - alkoxy benzoyloxyphenyl) - 1,2,4 - oxadiazole includes five compounds, , with the structural formula ONNOOCOC5H11OCOOCnH2n+1(11)a - en = 1 - 5This was prepared as following : p - hydroxy benzonitrile (3) react with p - pentoxy benzoyl chloride to give of p - pentoxy benzoyloxy benzonitrile (7) this compound reacted with hydroxylamine hydrochloride to give p - pentoxy benzoyloxy benzamidoxime (8) than finally reacted with p - alkoxy benzoyloxy benzoyl chloride to give 3 - (4 - pentoxy benzoyloxyphenyl) - 5 - (4΄ - alkoxy benzoyloxyphenyl) - 1,2,4 - oxadiazole (11)a - e.All the synthesized compounds were characterized by FTIR spectroscopy.The compounds 3 - (4 - pentoxy phenyl) - 5 - (4΄ - butoxy phenyl) - 1,2,4 - oxadiazole,3 - (4 - pentoxy phenyl) - 5 - (4΄ - chlorophenyl) - 1,2,4 - oxadiazole , 3 - (4 - pentoxy benzoyloxy phenyl) - 5 - (4΄butoxy benzoyloxy phenyl) - 1,2,4 - oxadiazole and 3,5 - (4,4 - pentoxy benzoyloxy phenyl) - 1,2,4 - oxadiazole were also characterized by 1HNMR.The liquid crystalline behaviors of the two series have been examined by means of hot - stage polarizing microscopy for the determination of phase transition temperatures and the type of mesophases. Microscopic observations of first series compounds at liquid crystalline transition temperature displayed a nematic mesophase of typical nematic droplets are observed on cooling from the isotropic liquid for compounds 3 - (4 - pentoxy phenyl) - 5 - (4΄ - propoxy phenyl) - 1,2,4 - oxadiazole (6)c, 3 - (4 - pentoxy phenyl) - 5 - (4΄ - butoxy phenyl) - 1,2,4 - oxadiazole (6)d and 3 - (4 - pentoxy phenyl) - 5 - (4΄ - pentoxy phenyl) - 1,2,4 - oxadiazole(6)e , while compounds 3 - (4 - pentoxy phenyl) - 5 - (4΄ - methoxy phenyl) - 1,2,4 - oxadiazole (6)a and 3 - (4 - pentoxy phenyl) - 5 - (4΄ - ethoxy phenyl) - 1,2,4 - oxadiazole (6)b did not show any liquid crystalline properties. Compounds 3 - (4 - pentoxy phenyl) - 5 - (4΄ - floro phenyl) - 1,2,4 - oxadiazole (6)f and 3 - (4 - pentoxy phenyl) - 5 - (4΄ - iodo phenyl) - 1,2,4 - oxadiazole (6)i also did not show any mesomorphic properties, while compounds 3 - (4 - pentoxy phenyl) - 5 - (4΄ - chloro phenyl) - 1,2,4 - oxadiazole (6)g and 3 - (4 - pentoxy phenyl) - 5 - (4΄ - bromo phenyl) - 1,2,4 - oxadiazole (6)h show a nematic droplets mesophase. Compound 3 - (4 - pentoxy phenyl) - 5 - (4΄ - nitro phenyl) - 1,2,4 - oxadiazole (6)j shows monotropic smectic A and nematic phases.Liquid crystalline properties of compounds 3 - (4 - pentoxy benzoyloxy phenyl) - 5 - (4΄ - alkoxy benzoyloxyphenyl) - 1,2,

تحضير ودراسة الفعالية البايلوجية لبعض مشتقات الاحماض الامينية وحامض الباربيتيورك عن طريق قواعد شيف == Synthesis and biological activity of Some amino acid and Barbituric acid derivatives via Schiff's bases

Author name: احمد عباس نعمان المالكي
General topic: Chemistry
Specific topic: Chemistry
Degree: Master
Language: English
University location: Baghdad
First pages:

دراسة بعض الخصائص الفيزيائية لمحاليل بعض الفيتامينات في اوساط مائية وحامضية بدرجات حرارية مختلفة من (293.15 - 308.15) كلفن == Study of Some Physical Properties for Vitamins Solutions in Aqueous and Acidic Media Over Temerature Range(293.15 - 308.15)

Author name: سرى رياض حمـــودي
General topic: Chemistry
Specific topic: Chemistry
Degree: Master
Language: English
University location: Baghdad
First pages:
Abstract: يتناول موضوع هذه الرسالة دراسة التداخلات الفيزيائية بين جزيئات المذيب والمذاب باستخدام الفيتامينات الاتية : اسكوربك اسد (Ascorbic Acid) وبانتوثينك اسد(Pantothenic Acid) والفولك اسد(Folic Acid) والثايمين ( Thiamine) والبيرودكسان (Pyridoxine) بوصفها مواد مذابة كل على انفراد في الماء وفي محلول حامض الهيدروكلوريك ( تركيزه 0.1 مول / لتر). جرى في هذه الدراسة تعين الحجم المولالي الجزئي من قياسات دقيقة للكثافة باستخدام جهاز رقمي لتعين الكثافة (Anton Paar (DMA 60/602). قيست اللزوجة الديناميكية لمحاليل الفيتامينات المستخدمة في هذا البحث على مدى التراكيز من - (0.1 - 0.05) اسكوربك اسد,بانتوثينك اسد, الثايمين,البايروداكسان اما بالنسبة الى الفولك اسد (0.01 - 0.005 مول / لتر) بسبب اذابتهما المحدودة في اربع درجات حرارية امتدت من 293.15K الى 308.15K .واستخدمت المعلومات المستحصلة للتحقق من انطباق معادلة جونز ودول على النظام وجرى تفسير السلوك اللزوجي في ضوء مساهمات مكونات اللزوجة المختلفة. نوقش التداخل الجزيئي بين الفيتامينات والمذيب مع الترتيبات الجزئية للمذيب في ضوء القياسات العلمية للدراسة ومن خلال قيم معامل (B ) لمعادلة جونز ودول اذ وجد ان ترتيب معامل (B) لهذه الفيتامينات على النحو الاتي : Ascorbic Acid ≈ Thiamine > Pyridoxine > Pantothenic Acid >Folic Acidكما غطت الدراسة حسابات نظرية للحجم المولالي الجزئي (Фv) وحجم فاندرفال (Vw) وحجم التدفق المؤثر (Vh).ونوقشت النتائج العلمية والنظرية. كما جرى ربط هذه النتائج مع بعضها والاستنتاج بان قيم الحجم المولالي الجزئي وحجم التدفق المؤثر والمعامل (B ) تعتبر كلها مؤشرا لقياس التداخل الجزيئي.
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