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Fractional Pantograph Delay Equations Solving by the Meshless Methods 无网格法求解分数阶受电弓延迟方程
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3076
Shefaa M. N. Jasim, Ghada H. Ibraheem
This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial and boundary conditions. These two methods depend mainly on orthogonal polynomials, which are the method of the operational matrix of fractional derivative that depends on Bernstein polynomials and the operational matrix of the fractional derivative with Shifted Legendre polynomials. The basic procedure of this method is to convert the pantograph delay equation to a system of linear equations and by using, the operational matrices we get rid of the integration and differentiation operations, which makes solving the problem easier. The concept of Caputo has been used to describe fractional derivatives. Finally, some numerical examples are identified to show the utility and capability of the two proposed approaches. Mathematica®12 program has been relied upon in the calculations.
本文描述了求解具有初始和边界条件的分数阶受电弓延迟方程(FPDEs)的两种有效方法。这两种方法主要依赖于正交多项式,分别是依赖于Bernstein多项式的分数阶导数运算矩阵法和带移位勒让德多项式的分数阶导数运算矩阵法。该方法的基本步骤是将受电弓延迟方程转化为线性方程组,并利用运算矩阵来消除积分和微分运算,使问题的求解更加容易。卡普托的概念已被用来描述分数阶导数。最后,通过数值算例验证了两种方法的有效性和有效性。在计算中依赖于Mathematica®12程序。
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引用次数: 0
Simulation and Analysis the Attenuation Effect of Atmospheric Layers on a Laser Beam Within the Visible Range 可见光范围内大气层对激光束衰减效应的模拟与分析
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3093
Mohammed Kamal Saleh, Thair Abdulkareem, Khalil Al-Aish
Abstract: The power and the size of the final spot of the laser beam reaching the target are very important requirements in most of the laser applications and fields such as medical, military, and scientific, so studying laser propagation in the atmosphere is a very important topic. The propagation of the laser beam through the atmosphere is subject to several attenuation processes that deplete the power and expand the beam. Through the simulation results of the free electron laser within the visible region of the electromagnetic spectrum (400-700nm), it was found that the attenuation increases with decreasing wavelength. Laser propagation in the presence of rain and snow leads to a very large loss of power compared to propagation in normal weather conditions free of rain and snow. Atmosphere turbulence depends largely on changes in temperature, so the turbulence decreases with altitude from sea level, which makes laser work at high altitudes, such as the stratosphere, a good option with better results.  
摘要:在医学、军事和科学等激光应用和领域中,激光到达目标的功率和最终光斑的大小是非常重要的要求,因此研究激光在大气中的传播是一个非常重要的课题。激光束在大气中的传播受到几个衰减过程的影响,这些衰减过程会耗尽能量并使光束扩展。通过对电磁波谱可见区域(400 ~ 700nm)内自由电子激光器的仿真结果发现,衰减随波长的减小而增大。与在无雨雪的正常天气条件下传播相比,在雨雪天气下激光传播会导致非常大的功率损失。大气湍流很大程度上取决于温度的变化,因此湍流随海平面的高度而减少,这使得激光在高海拔地区工作,如平流层,是一个很好的选择,效果更好。
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引用次数: 0
Score for the Group SL(2,38) SL组总得分(2,38)
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3017
N. Jasim, Mohammed Ibrahem Lfta, Ahmad Issa
        The set of all (n×n) non-singular matrices over the field F. And this set forms a group under the operation of matrix multiplication. This group is called the general linear group of dimension  over the field F, denoted by . The determinant of these matrices is a homomorphism from  into F* and the kernel of this homomorphism was the special linear group and denoted by  Thus  is the subgroup of  which contains all matrices of determinant one.The rationally valued characters of the rational representations are written as a linear combination of the induced characters for the groups discussed in this paper. We find the Artin indicator for this group after studying the rationally valued characters of the rational representations and the induced characters.
域f上所有(n×n)非奇异矩阵的集合,这个集合在矩阵乘法运算下形成一个群。这个群称为域F上维数的一般线性群,表示为。这些矩阵的行列式是一个从到F*的同态,这个同态的核是一个特殊的线性群,记为:因此是它的子群包含所有行列式为1的矩阵。对于本文所讨论的群,理性表示的理性值字符被写成诱导字符的线性组合。通过对理性表征的理性价值特征和诱导特征的研究,找到了这一群体的Artin指标。
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引用次数: 0
Study of Telegraph Equation via He-Fractional Laplace Homotopy Perturbation Technique 用he -分数阶拉普拉斯同伦摄动技术研究电报方程
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3239
Ali Moazzam, Ayza Anjum, Nimra Saleem, Emad A. Kuffi
A new technique to study the telegraph equation, mostly familiar as damped wave equation is introduced in this study. This phenomenon is mostly rising in electromagnetic influences and production of electric signals.  The proposed technique called as He-Fractional Laplace technique with help of Homotopy perturbation is utilized to found the exact and nearly approximated results of differential model and numerical example of telegraph equation or damped wave equation in this article. The most unique term of this technique is that, there is no worry to find the next iteration by integration in recurrence relation. As fractional Laplace integral transformation has some limitations in non-linear terms, to get the result of nonlinear term in this differential mode, He polynomials via homotopy techniques of iteration is proposed to find the result of the computation assignment. The obtained result by this proposed technique directed that this technique is quite ease to apply and convergent rapidly to exact solutions. Numerous examples are described to determine the stability and accuracy of the proposed technique with the graphical explanation. 
本文介绍了一种研究电报方程的新方法,即人们所熟知的阻尼波动方程。这种现象主要是在电磁影响和电信号的产生中出现的。本文利用同伦摄动下的he -分数阶拉普拉斯技术,求出了电报方程或阻尼波动方程的微分模型和数值算例的精确近似结果。这种技术的独特之处在于,不用担心在递归关系中通过积分来寻找下一次迭代。由于分数阶拉普拉斯积分变换在非线性项上存在一定的局限性,为了在这种微分模式下得到非线性项的结果,提出了利用迭代同伦技术求He多项式的计算赋值结果。结果表明,该方法易于应用,且收敛速度快。描述了许多例子,以确定所提出的技术的稳定性和准确性与图形解释。
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引用次数: 1
Review: - Determination of vitamin E concentration in different samples -不同样品中维生素E浓度的测定
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3113
E. N. Mezaal, M. A. Mohammed, K. A. Sadiq
Vitamins are a type of essential and important nutrient in the human body. It also plays an essential role in the health and protection of the human body. They share physiological functions with many chemicals, and their deficiency or increase endangers human health. Therefore, it is required to evolve and use modern methods to estimate the concentration of vitamins, even if their concentration is very low, and these include the vitamin E group tocopherols, tocotrienols, isomers, esters, and derivatives. They disagree not in their ability as anti-cancer agents but rather in their physiological as well as chemical relations, unlike vitamin A and vitamin D. The richest source of vitamin E is vegetable oil. Vitamin E, classified as a vitamin, dissolves in fat. It is pointed out in different types of foods involving vegetable oils, meat, eggs, cereals, and poultry, in addition to fruits. Some of the vital signs and symptoms of a vitamin E deficiency include neurological defects such as dysfunction of the brain, nerves, spinal cord, and muscles; muscle pain and weakness; muscle deterioration, including cardiomyopathy or weak heart muscle; low birth weight; difficulty moving the eyes up and down; poor vision at night; loss or lack of sense of vibration; and a feeling of numbness or tingling.
维生素是人体必需的重要营养素。它对人体的健康和保护也起着至关重要的作用。它们与许多化学物质具有相同的生理功能,它们的缺乏或增加会危害人体健康。因此,需要发展和使用现代方法来估计维生素的浓度,即使它们的浓度很低,这些维生素包括维生素E族生育酚、生育三烯醇、异构体、酯和衍生物。与维生素A和维生素d不同,维生素E的最丰富来源是植物油,而不是它们作为抗癌剂的能力不同,而是它们的生理和化学关系不同。维生素E被归类为维生素,可溶于脂肪。它在不同类型的食物中被指出,包括植物油、肉、蛋、谷物和家禽,除了水果。维生素E缺乏的一些生命体征和症状包括神经系统缺陷,如大脑、神经、脊髓和肌肉功能障碍;肌肉疼痛无力;肌肉退化,包括心肌病或心肌衰弱;出生体重过低;上下移动眼睛有困难;夜间视力差;震动感:失去或缺乏震动感;以及麻木或刺痛的感觉。
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引用次数: 0
Synthesis of Manganese Dioxide Nanoparticles by Plant Extract Mediated and their Effect on Biofilm Formation 植物提取物介导二氧化锰纳米颗粒的合成及其对生物膜形成的影响
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3061
Sabeha Sabeha, Zainab J. Shanan
In the current work, Punica granatum L. peel, Artemisia herba-alba Asso., Matricaria chamomilla L., and Camellia sinensis extracts were used to prepare manganese dioxide (MnO2) nanoparticles utilizing a green method. Energy-dispersive X-ray (EDX) analysis, Fourier Transform Infrared Spectroscopy (FTIR) analysis, and Filed emission-scanning electron microscopy (FE-SEM) analysis were used to evaluate the produced MnO2 NPs. FE-SEM pictures demonstrated how agglomerated nanoparticles formed. According to FE-SEM calculations, the particle size ranged from 18.7-91.5 nm. FTIR spectra show that pure Mn-O is formed, while EDX results show that Mn and O are present. The ability to suppress biofilm growth in the produced MnO2 NPs was examined. The outcomes showed that both bacterial and fungal biofilms were effectively inhibited by the MnO2 NPs produced.
在目前的研究中,对石榴皮、青蒿进行了研究。利用绿色法制备二氧化锰纳米颗粒(MnO2)。利用能量色散x射线(EDX)分析、傅里叶变换红外光谱(FTIR)分析和场发射扫描电镜(FE-SEM)分析对制备的MnO2 NPs进行了评价。FE-SEM图片展示了凝聚的纳米颗粒是如何形成的。根据FE-SEM计算,颗粒尺寸在18.7 ~ 91.5 nm之间。FTIR光谱显示形成了纯的Mn-O, EDX结果显示存在Mn和O。研究了其抑制MnO2 NPs生物膜生长的能力。结果表明,MnO2 NPs对细菌和真菌生物膜均有抑制作用。
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引用次数: 0
Study the Effect of Manganese Ion Doping on the Size- Strain of SnO2 nanoparticles Using X-Ray Diffraction Data 利用x射线衍射数据研究锰离子掺杂对SnO2纳米颗粒尺寸应变的影响
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3052
Tagreed M. Al-Saadi, Zahraa A. Kamil
In this study, SnO2 nanoparticles were prepared from cost-low tin chloride (SnCl2.2H2O) and ethanol by adding ammonia solution by the sol-gel method, which is one of the lowest-cost and simplest techniques. The SnO2 nanoparticles were dried in a drying oven at a temperature of 70°C for 7 hours. After that, it burned in an oven at a temperature of 200°C for 24 hours. The structure, material, morphological, and optical properties of the synthesized SnO2 in nanoparticle sizes are studied utilizing X-ray diffraction. The Scherrer expression was used to compute nanoparticle sizes according to X-ray diffraction, and the results needed to be scrutinized more closely. The micro-strain indicates the broadening of diffraction peaks for nanoparticles that are not ideal crystals. The extra broadening of the diffraction peak may lead to a miscalculation of the nanoparticle size. We use the Williamson-Hall method to directly compute and discuss the particle size and micro-strain of SnO2 nanoparticles and compare them with results obtained using the Scherrer method. In conclusion, the straight line has been derived due to Williamson–Hall methods demonstrating the nanoparticles' uniformity.
本研究以低成本氯化锡(SnCl2.2H2O)和乙醇为原料,通过添加氨溶液,采用溶胶-凝胶法制备SnO2纳米颗粒,这是成本最低、最简单的工艺之一。将SnO2纳米颗粒在70℃的干燥箱中干燥7小时。之后,它在200°C的烤箱中燃烧24小时。利用x射线衍射研究了合成的纳米尺寸SnO2的结构、材料、形态和光学性质。Scherrer表达式用于根据x射线衍射计算纳米颗粒的大小,结果需要更仔细地检查。微应变表明非理想晶体的纳米颗粒衍射峰展宽。衍射峰的额外展宽可能导致纳米颗粒尺寸的错误计算。我们使用Williamson-Hall方法直接计算和讨论了SnO2纳米颗粒的粒径和微应变,并将其与Scherrer方法得到的结果进行了比较。综上所述,由于Williamson-Hall方法证明了纳米颗粒的均匀性,推导出了直线。
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引用次数: 0
Fully Fuzzy Visible Modules With Other Related Concepts 完全模糊可见模块与其他相关概念
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3092
Sajda Kadhum Mohammed, B. N. Shihab
In previous our research, the concepts of visible submodules and fully visible modules were introduced, and then these two concepts were fuzzified to fuzzy visible submodules and fully fuzzy. The main goal of this paper is to study the relationships between fully fuzzy visible modules and some types of fuzzy modules such as semiprime, prime, quasi, divisible, F-regular, quasi injective, and duo fuzzy modules, where under certain conditions it has been proven that each fully fuzzy visible module is fuzzy duo. In addition, there are many various properties and important results obtained through this research, which have been illustrated. Also, fuzzy Artinian modules and fuzzy fully stable modules have been introduced, and we study the relationships between these kinds of modules and fully fuzzy visible modules. Many other intersecting results we found.
在前人的研究中,首先引入了可见子模块和完全可见模块的概念,然后将这两个概念模糊化为模糊可见子模块和完全模糊。研究了半素数、素数、拟、可分、f正则、拟内射、偶等模糊模与全模糊可见模之间的关系,并在一定条件下证明了每个全模糊可见模都是模糊偶。此外,本研究还获得了许多不同的性质和重要的结果,并进行了说明。此外,还引入了模糊Artinian模和模糊全稳定模,并研究了这类模与全模糊可见模之间的关系。我们还发现了许多其他相互关联的结果。
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引用次数: 0
Applying Ensemble Classifier, K-Nearest Neighbor and Decision Tree for Predicting Oral Reading Rate Levels 应用集成分类器、k近邻和决策树预测口语阅读速度水平
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3102
Jwan Abdulkhaliq Mohammed
For many years, reading rate as word correct per minute (WCPM) has been investigated by many researchers as an indicator of learners’ level of oral reading speed, accuracy, and comprehension. The aim of the study is to predict the levels of WCPM using three machine learning algorithms which are Ensemble Classifier (EC), Decision Tree (DT), and K- Nearest Neighbor (KNN). The data of this study were collected from 100 Kurdish EFL students in the 2nd-year, English language department, at the University of Duhok in 2021. The outcomes showed that the ensemble classifier (EC) obtained the highest accuracy of testing results with a value of 94%. Also, EC recorded the highest precision, recall, and F1 scores with values of 0.92 for the three performance measures. The Receiver Operating Character curve (ROC curve) also got the highest results than other classification algorithms. Accordingly, it can be concluded that the ensemble classifier is the best and most accurate model for predicting reading rate (accuracy) WCPM.    
多年来,许多研究者将阅读率作为每分钟正确单词数(WCPM)作为学习者口语阅读速度、准确性和理解水平的指标进行了研究。该研究的目的是使用三种机器学习算法来预测WCPM的水平,这三种算法是集成分类器(EC)、决策树(DT)和K-最近邻(KNN)。本研究的数据是在2021年从杜胡克大学英语系二年级的100名库尔德语学生中收集的。结果表明,集成分类器(EC)的检测结果准确率最高,达到94%。此外,EC在三个绩效指标上的准确率、召回率和F1得分最高,为0.92。受试者工作特征曲线(Receiver Operating Character curve, ROC曲线)的分类效果也优于其他分类算法。综上所述,集成分类器是预测阅读率(准确率)WCPM的最佳和最准确的模型。
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引用次数: 0
Cr (III), Fe (III), Co (II) and Cu(II)Metal ions complexes with azo compound derived from 2-hydroxy quinolin synthesis, characterization, thermal study and antioxidant activity Cr (III)、Fe (III)、Co (II)和Cu(II)金属离子配合物与偶氮化合物衍生的2-羟基喹啉合成、表征、热研究和抗氧化活性
Pub Date : 2023-07-20 DOI: 10.30526/36.3.3068
Adhraa Ghazi Abdulrazzaq, A. A. Al-Hamdani
Azo-ligand-(HL)([4-((2-hydroxyquinolin-3-yl)diazenyl)-N-(5-methylisoxazol-3-yl)benzenesulfonamide] ) ,  (2- hydroxy quinolin  derivative),reacts with the next metal ions (Cr (III), Fe (III),Co (II) and Cu(II))  forming stable complexes with unique geometries such as(tetrahedral for bothCo (II) and  Cu (II), octahedral for both Cr (III) and Fe (III)). The creation of such complexes was detected by employing spectroscopic means involving ultraviolet-visible which proved the obtained geometries, Fourier transfer proved the involvement of coordinated water molecule in all complexes besides the pyrolysis (TGA & DSC) studies proved the coordination of water residues with metal ions inside the coordination sphere as well as chlorine atoms. Moreover element-micro-analysis and AAS that gave corresponding outcome with theoretically counting outcome.  Magnetic quantification scan also indicates the unique geometries of complexes. The degradation of reactive oxygen entities for the compounds were estimated toward (DPPH-radical then matched to the standard-natural antioxidant, Gallic acid. The incomes display good radical degradations-activities.The lower IC50 value, the higher antioxidant activity. Depending on this conception, the order of our compounds besides Azo-species-HL is as follows: (G_A<[Co(L)(H2O)Cl]> [Cr(L)(H2O)Cl]> [Fe(L)(H2O)2Cl2]> [Cu(L)(H2O)Cl]).
偶氮配体-(HL)([4-((2-羟基喹啉-3-基)二氮基)- n-(5-甲基异恶唑-3-基)苯磺酰胺]),(2-羟基喹啉衍生物),与下一个金属离子(Cr (III), Fe (III),Co (II)和Cu(II))反应形成具有独特几何形状的稳定配合物,例如(Co (II)和Cu(II)为四面体,Cr (III)和Fe (III)为八面体)。这种配合物的形成是通过紫外可见光谱手段来检测的,这证明了所得到的几何形状,傅里叶转移证明了所有配合物中都有配位水分子的参与,除了热解(TGA和DSC)研究证明了配位球内的水残留物与金属离子以及氯原子的配位。元素微量分析和原子吸收光谱法给出了与理论计数结果相对应的结果。磁定量扫描也表明了复合物的独特几何形状。估计化合物的活性氧实体对(dpph -自由基)的降解,然后与标准天然抗氧化剂没食子酸相匹配。收入表现出良好的自由基降解活性。IC50值越低,抗氧化活性越高。根据这一概念,除偶氮物种- hl外,化合物的顺序为:(G_A [Cr(L)(H2O)Cl]> [Fe(L)(H2O)2Cl2]> [Cu(L)(H2O)Cl])。
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引用次数: 0
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Ibn AL- Haitham Journal For Pure and Applied Sciences
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