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Nonlinear differential equation stability is a very important feature of applied mathematics, as it has a wide variety of applications in both practical and physical life problems. The major object of the manuscript is to discuss and apply several techniques using modify the Krasovskii's method and the modify variable gradient method which are used to check the stability for some kinds of linear or nonlinear differential equations. Lyapunov function is constructed using the variable gradient method and Krasovskii’s method to estimate the stability of nonlinear systems. If the function of Lyapunov is positive, it implies that the nonlinear system is asymptotically stable. For the nonlinear systems, stability is still difficult even though
... Show MoreThis paper deals with load-deflection behavior the jointed plain concrete pavement system using steel dowel bars as a mechanism to transmit load across the expansion joints. Experimentally, four models of the jointed plain concrete pavement system were made, each model consists of two slabs of plain concrete that connected together across expansion by two dowel bars and the concrete slab were supported by the subgrade soil. Two variables were dealt with, the first is diameter of dowel bar (12, 16 and 20 mm) and the second is type of the subgrade soil, two types of soil were used which classified according to the (AASHTO): Type I (A-6) and type II (A-7-6). Experimental results showed that increasing dowel bar diameter from 12 mm to 20 mm
... Show MoreIn this work, new Schiff bases of quinazolinone derivatives (Q1-Q5) were synthesized from methyl anthranilate. The synthesis involved three steps. In the first step, methyl anthranilate was reacted with isothiocyanatobenzene, producing the thiourea derivative K1. The second step entailed reacting K1 with hydrazine hydrate, synthesizing 3-amino-2-(phenylamino) quinazolin-4(3H)-one (K2). The third step involved reaction of K2 with various aromatic aldehydes, yielding the Schiff bases derivatives Q1-Q5. The chemical structures of these compounds were identified by FT-IR,1H NMR and 13C NMR spectroscopy. The newly synthesized derivatives (Q1-Q5) were subjected to rigorous evaluation to assess their efficacy as corrosion inhibitors for ca
... Show MoreThe tongue is one of the important organs of vertebrates, as it plays an important role in the process of food intake, absorption and swallowing, It varies the morphological according to the organism, the habitat, and the nature of the food for it. The aim of the study is to reveal the histologist structure of the tongue of the guinea pig(Cavia porcellus), where we took three samples of adult males, and crosses the tongue similar to rodents, except for some differences in terms of the epithelial layers, mucosa, the muscular layer, the number of tongue layers and the spread of papillae on the tongue, which is, differences due to adaptation to the habitat and their diet.
تضمن البحث التعريف بالإمام البزازي، وحياته العلمية، ومشايخه، وتلامذته، ومؤلفاته، ووفاته، وأربعة مسائل مختارة من ترجيحاته في الحدود والجنايات، والإمام محمد بن محمد بن شهاب بن يوسف (ت827هـ)، يُكنَّى بالكَردَرِيِّ الحنفي الخوارزمي الشهير بالبزَّازي، ويُنسب إلى كَرْدَر، وقد عرض في كتابه كثيرًا من كتب الحنفية، وذكر الكثير من آراء علمائهم مع تعرضه لبعض آراء المذاهب الأخرى. ولم يعتمد على التعريفات اللغوية والاصط
... Show Moreتُعد دراسة أعلام الفكر العربي والإسلامي من أهم الدراسات التاريخية ولا يمكن للأمم المتحضرة أن تنسى علمائها ومفكريها لما لهم من دور كبير في حاضر الأمة ومستقبلها و تاريخنا الإسلامي يحفل بالعديد من العلماء ورجال المعرفة الذين ساعدوا على تقدم ورقي العرب والمسلمين على الأمم الأخرى0
للدراسات التاريخية أهميتها ولاسيما دراسة المؤلفات الذي يعطينا صورة كاملة عن تطور الواقع التاريخي للمرحلة التي عاصرها المؤلف وتكتب دراسة الشخصيات العلمية طابعاً خاصاً ومهم يدفعنا إلى التعريف بالمؤرخ ومنهجه في الكتاب والموارد التي استقى معلوماتهِ منها .
A la fin du XVIIIe siècle, les penseurs français dont Rousseau et Saint-Pierre, commencent à mettre en question la civilisation européenne. Dans leurs œuvres les plus importantes, ces deux auteurs parlent de la société européenne d'une façon très banale. Ils font, par contre, une invitation à la Solitude et l'isolement dans la nature afin d'éviter la corruption de l'âme par la société mondaine. Ces écrivains-penseurs croient que la société peut gâter l'humanité de l'individu. Ils suggèrent à travers les images innocentes de leurs principaux personnages vivant dans la campagne, un monde idéal où il n'y a que pureté et chasteté. Dans les deux œuvres que nous avons choisies (Paul et Virginie de Bernardin de
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