On Wavelet-Based Algorithm for Solving Parabolic Differential Equations

In this paper an algorithm based on wavelet method is used to solve Parabolic Partial Differential Equations. We proceed to the numerical experiments to obtain a general idea of the feasibility of introducing wavelet method

Boubaker Wavelets Functions: Properties and Applications

تم في هذا البحث تقديم شرح تفصيلي لدوال متعددة حدود بوبكر المتعامدة مع بعض الخواص ذات الاهمية، كذلك استنتاج تعريف متعددات حدود بوبكر الموجية في الفترة (1, 0] وذلك بالاستفادة  من بعض الخواص المهمة لمتعددة حدود بوبكر. تمتلك هذه الدوال الاساسية خاصية العيارية المتعامدة بالإضافة الى ضرورة تواجد المنطلق المرصوص. لهذه الدوال الموجية العديد من المزايا وقد استخدمت في المجال النظري بالإضافة الى المجال العملي وتم استخدامها مع متعددات الحدود المتعامدة لغرض طرح طريقة جديدة للتعامل مع العديد من المسائل في العلوم والهندسة ولذلك تعتبر طريقة استخدام الموجبات ذات اهمية كبيرة عند الاستفادة منها في المجالات ذات العلاقة. بالإضافة الى الاستفادة من موجبات بوبكر للحصول على خاصية جديدة  وهي مشتقات دالة بوبكر الموجية. استخدمت موجية بوبكر مع طريقة الترصيف للحصول على حل عددي تقريبي لمعادلات لان ايمدن من النوع الخطي المنفرد. تصف معادلات لان ايمدن العديد من الظواهر المهمة في علم الرياضيات والفيزياء السماوي مثل الانفجارات الحرارية الكونية وتكوين النجوم. وتعتبر احدى حالات مسائل القيمة الابتدائية المنفردة للمعادلات التفاضلية اللاخطية من الرتبة الثانية. تقوم هذه الطريقة المقترحة بتحويل معادلة لان ايمدن الى نظام من المعادلات التفاضلية الخطية والتي يمكن حلها بسهولة باستخدام الحاسبة. بناءً على هذا فقد ظهر تطابق الحل العددي مع الحل التحليلي بالرغم من استخدام عدد قليل من متعددات حدود بوبكر الموجية لغرض ايجاد هذا الحل. كذلك، تم في هذا البحث البرهنة على قيمه قيد الخطأ المستخرج من هذه الطريقة. وتضمن هذا البحث على ثلاث امثلة عددية من نوع معادلات لان ايمدن لتوضيح قابلية استخدام الطريقة المقترحة. تم توضيح النتائج الحقيقة مع النتائج التقريبية في شكل جداول ورسوم هندسية لغرض المقارنة.This paper is concerned with introducing an explicit expression for orthogonal Boubaker polynomial functions with some important properties. Taking advantage of the interesting properties of Boubaker polynomials, the definition of Boubaker wavelets on interval [0,1) is achieved. These basic functions are orthonormal and have compact support. Wavelets have many advantages and applications in the theoretical and applied fields, and they are applied with the orthogonal polynomials to propose a new method for treating several problems in sciences, and engineering that is wavelet method, which is computationally more attractive in the various fields. A novel property of Boubaker wavelet function derivative in terms of Boubaker wavelet themselves is also obtained. This Boubaker wavelet is utilized along with a collocation method to obtain an approximate numerical solution of singular linear type of Lane-Emden equations. Lane-Emden equations describe several important phenomena in mathematical science and astrophysics such as thermal explosions and stellar structure. It is one of the cases of singular initial value problem in the form of second order nonlinear ordinary differential equation. The suggested method converts Lane-Emden equation into a system of linear differential equations, which can be performed easily on computer. Consequently, the numerical solution concurs with the exact solution even with a small number of Boubaker wavelets used in estimation. An estimation of error bound for the present method is also proved in this work. Three examples of Lane-Emden type equations are included to demonstrate the applicability of the proposed method. The exact known solutions against the obtained approximate results are illustrated in figures for compariso

DNA Polymorphism of Gaucher Disease in Iraqi Patients

Gaucher disease is the autosomally recessively inherited deficiency of the lysosomal enzyme glucocerebrosidase. Increasing storage of glucocerebrosides leads to a multisystem disease, the prevalence of which is about 1 : 40,000 in central Europe and up to 1 : 2,000 in some other countries (e. g. Israel). The acute and chronic neuronopathic forms of the disease (formerly defined as Gaucher types 2 and 3) account for only 5 to 10% of all Gaucher patients in Central Europe and Germany and are thus less frequent than the nonneuronopathic disease (formerly defined as Gaucher type 1). Gaucher's disease is usually associated with splenoand hepatomegaly, fatigue, skeletal complications, and several corresponding hematological and laboratory abnormalities. In 5 to 10% of the patients there are also central nervous symptoms such as myoclonic seizures, oculomotoric apraxia and a slight mental retardation. Recent epidemiological data indicate that only 10 to 20% of all Gaucher patients are correctly diagnosed (and treated) in Germany. The diagnosis today can be done in all patients by noninvasive methods, i. e. determination of the glucocerebrosidase activity in peripheral leukocytes and of the genetic defect, in this research the PCR technique was used to analyze the mutation in glucocerebrosidases gene (G ---C). Key words: Gaucher disease (GD), lysosomal storage disorder (LSD),lysosomal enzyme glucocerebrosidase, PCR, Mutation

A comparison of fracture strength among different brands of translucent zirconia crown restorations

Objectives: As the development of translucent zirconia crown using CAD/CAM technology, the usage of full zirconia crown is gradually increased. The purpose of this study was to investigate the highest fracture strength of translucent zirconia full zirconia crowns among different brands of translucent zirconia. Methods: Maxillary 1stpremolar resin teeth were prepared the total circumferential axial reduction was about (1 mm), and axial taper of 6°. Three brands of translucent zirconia (Whitepeaks, Imes-icor and Dentaldirect) that was used in three groups, every group contain five full zirconia crowns using CAD/CAM system (CAD/CAM system 250i, Imes-icor, Germany). The samples seated on the resin die using. All specimens were tested with a universal testing machine. Single load-to-fracture was applied on the lingual aspect of the facial cusp at a rate of 1mm/min. The specimens were thoroughly evaluated for bulk fracture with fractography. Results: Statistically high significant difference (p < 0.00) was found between the groups. The fracture strength of the groups varied Whitepeaks crowns was (2737.5 ± 106) N, which was significantly higher than the two overall mean fracture strength measured for the Imes-icor crowns (3620 ± 40) N and Dental direct crowns (3830 ± 130) N, the Dental direct highest fracture strength than other groups. Conclusions. The fracture strength of Dental direct crowns is considerably higher than that of Whitepeaks crown, The fracture strength of all the groups made of monolithic high translucent Y-TZP is exceeded human maximum bite force, sufficient for clinical use for the majority of patients.

Synthesis, Spectral Identification, Antibacterial Evaluationand Theoretical Study of Co, Fe, Rh and Pd Complexes for 2-benzoylthiobenzimidazol

      تم تحضير سلسلة جديدة لمعقدات بعض الايونات الفلزيه من خلال تفاعل ليكاند 2-بنزويل ثايوبنزامايدزول مع أملاح الفلزات للكوبلت  (II) ، الحديد (III) والروديو(II) ، أما معقد البلاديوم (II) تم تحضيره من خلال مزج 2-بنزويل ثايوامايدزولكليكاند أساسي و البابريدينكليكاند ثانوي مع كلورد البلاديوم كملح الفلز في وسط من الأيثانول. تم تشخيص الأشكال لهذه المركبات بواسطة التحليل الدقيق للعناصر، طيف الاشعه فوق البنفسجيه ،تقنية طيف الاشعه تحت الحمراء، الحساسية المغناطيسية، التوصيلية المولارية وتقنية الامتصاص الذري اللهبي. من خلال النتائج التي تم الحصول عليها من التحاليل الطيفية  تم اقتراح الشكل الثماني السطوح لمعقدي  الحديد والروديوم والشكل المربع المستوي لمعقد البلاديوم  ورباعي السطوح لمعقد الكوبلت.اظهرت جميع المعقدات المحضرة استقرارا واضحا ويمكن تخزينها لعدة أشهر دون أي تغيير ملموس . تم أستخدام الطرق شبة التجريبية ZINDO/ 1)  ،ZINDO/S & PM3) لحساب حرارة التكوين ∆H˚f ، وطاقة الاتباط∆Eb ، والعزم ثنائي القطب لجميع المركبات كدراسة نظرية . أظهرت المعقدات نشاط بايولوجي ملحوظ تجاة البكتيريا المسببه للامراض عند أخنبارها على انواع مختارة من البكتيريا . أظهرت المركبات المحضرة نشاطأ مضادأ للبكتيريا متوسطأ وجيد جدا ضد السلالات البكتيرية  . مثلE-scherichia coli،Staphylococcus aureusوPseudomonas aeruginosa.A new novel series of metalcomplexes are prepared from reactions between 2-benzoylthio- benzimidazole (L) with metal salts of Co (II) , Fe(III) and Rh (III) , while Pd(II) complex was obtained by mixing ligandsof 2-benzoylthiobenzimidazole (L) as primary ligand and bipyridine (L/)as secondary ligand as well as palladium chloride as metal salt in an ethanoic medium. The geometry of these compounds were identified using C.H.N.microanalysis, Ultraviolet–visible, Fourier transforms infrared, magnetic susceptibility, molar conductivity and flame atomic absorption (A.A). From the dataobtained by these spectral analyses, the molecular structures for Rh and Fe complexes were proposed to be octahedral geometry. A square planar construction is proposed for Pd(II), while a Tetrahedral Geometry for Cobalt (II)complex. All of the complexes which were prepared displayedobviousconstancy and could be stored for months without showing any considerablealteration. Semi-empirical methods (ZINDO/1, ZINDO/S & PM3) were conducted to assess the heat of formation ∆H˚f, binding energy ∆Eb, and dipole moment for all compounds as theoretic study. The complexes expressnotable biological activities to pathogenic bacteria when inspected on certain bacteria. The synthesized compounds exhibited moderate toverygood antibacterial activity against bacterial strains, i.e., Escherichiacoli, Staphylococcus aureus & Pseudomonas aeruginosa

Smart e-trader: A prototype information management system for UAE stock markets

This paper presents a new online smart trading approach for investors in UAE stock markets. Smart trader is a web-based information management system that provides investors with real time stock market information and personalized stock recommendations. A study was conducted to assess the needs for such system in UAE markets and found a strong demand for it among investors. A new system architecture is also proposed, called smart e- trader, to accommodate investors\u27 new needs and preferences. A prototype system of smart trader has been implemented to evaluate the usefulness and effectiveness of the new approach. The findings of this research suggests that deploying a smart online stock trading applications in UAE markets would help investors make an informative investment decisions as well as assist them manage their stock trading transactions

¹⁴N overtone transition in double rotation solid-state NMR

Solid-state NMR transitions involving outer energy levels of the spin-1 14N nucleus are immune, to first order in perturbation theory, to the broadening caused by the nuclear quadrupole interaction. The corresponding overtone spectra, when acquired in conjunction with magic-angle sample spinning, result in lines, which are just a few kHz wide, permitting the direct detection of nitrogen compounds without the need for labeling. Despite the success of this technique, “overtone” resonances are still broadened due to indirect, second order effects arising from the large quadrupolar interaction. Here we demonstrate that another order of magnitude in spectral resolution may be gained by using double rotation. This brings the width of the 14N solid-state NMR lines much closer to the region commonly associated with high-resolution solid-state NMR spectroscopy of 15N and demonstrates the improvements in resolution that may be possible through the development of pulsed methodologies to suppress these second order effects

Computer Controlled System Using Bluetooth Technology

The implementation of monitoring, controlling, and archiving system withdata communication based on Bluetooth technology is described. Design andimplementation of a temperature sensing and power line frequency measurementsystem is presented. The application has been accomplished using Bluetooth USBdongle. One of the Bluetooth enabled PC acts as a server. The implementationprocess consisting of application architecture design, system requirement,software design, hardware design, establish Bluetooth connection, andvisualization of measurement data is described in detail. Experimental resultsshow that the designed system is more reliable and easy to use

Preparation of a Reinforced Polymeric Coating with Inorganic Nano Additives as UV-Stabilizers and Protect Oil Pipelines from Corrosion

In this research a nano polymeric coating has been prepared to be used for the protection of the external surface of oil pipelines (medium carbon steel (CK50)) from corrosion in salt water (3.6% NaCl) . This coating is reinforced by inorganic (nano and micro) additives to apply a high resistance against chemicals and salts. These oxides protect the epoxy resin from degradation by preventing the epoxy molecules and active functional groups from absorbing ultraviolet light in the range (290-315) nm strongly.This coating is also resistant to the high and low temperatures, humidity, scratch and water. This coating was prepared from the reaction of 2-[[4-[2-[4-(Oxiran-2-ylmethoxy) phenyl] propan-2-yl] phenoxy] methyl] oxirane (Diglycidyl Ether of Bisphenol A) and the hardener (EDA). The mixing ratio of the two parts was (4:1). Reinforced with inorganic (nano and micro) additives such as titanium dioxide (TiO2) and zinc oxide (ZnO) which have been used as an anticorrosion. These additives are non-toxic, thermally stable and have a high degree of the miscibility with epoxy. The weight percentages of the mixing are (0 and 10 % wt). The corrosion rate results show that using (nano and micro) coating give good results in increasing the corrosion resistance compared with the (non additives) epoxy.This coating was characterized using different spectroscopic methods (FT-IR, UV/Vis). Several tests were conducted , including differential scanning calorimetry (DSC), thermogravimetric analysis (TGA) , mechanical tests and evaluation of corrosion resistance was made by using static potential test