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BINARY SEMI-LOCALLY CLOSED SETS IN BINARY TOPOLOGICAL SPACES 二元拓扑空间中的二元半局部闭集
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.1-a11
SASTHA SHYAMALA MALINI, OCHANAN NETHAJI, RAJENDRAN PREMKUMAR
In this paper, we introduce new weaker forms of locally closed sets called binary semi-locally closed, binary locally semi-closed sets, and binary generalized locally semi-closed sets and study their relations with the existing ones. We also try to establish the conditions under which these weaker forms coincide with one another. Further it is established that in a particular space, all the weaker forms of binary locally closed sets coincide with P(X,Y), the power set of (X,Y).
本文引入了新的弱形式的局部闭集,即二元半局部闭集、二元局部半闭集和二元广义局部半闭集,并研究了它们与已有的局部闭集的关系。我们还要设法创造条件,使这些较弱的形式能够相互配合。进一步证明了在特定空间中,二元局部闭集的所有弱形式都与(X,Y)的幂集P(X,Y)重合。
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引用次数: 0
NUMERICAL RESOLUTION OF NON-LINEAR EQUATIONS 非线性方程的数值解析
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-a14
ABDELKADER BENALI
In this study, we have employed the highly significant hyperbolic tangent (tanh) method to conduct an in-depth analysis of nonlinear coupled KdV systems of partial differential equations. In comparison to existing sophisticated approaches, this proposed method yields more comprehensive exact solutions for traveling waves without requiring excessive additional effort. We have successfully applied this method to two examples drawn from the literature of nonlinear partial differential equation systems.
在本研究中,我们采用高度显著双曲正切(tanh)方法对偏微分方程的非线性耦合KdV系统进行了深入的分析。与现有的复杂方法相比,该方法无需额外的努力就能得到更全面的行波精确解。我们已经成功地将该方法应用于非线性偏微分方程组的两个例子。
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引用次数: 0
EXPONENTIAL TYPE INEQUALITIES AND ALMOST COMPLETE CONVERGENCE OF THE OPERATOR ESTIMATOR OF FIRST-ORDER AUTOREGRESSIVE IN HILBERT SPACE GENERATED BY WOD ERROR 由wood误差产生的Hilbert空间一阶自回归算子估计的指数型不等式和几乎完全收敛
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-a08
MALIKA HAMMAD, ZOUAOUIA BOULENOIR, SAMIR BENAISSA
In this paper, we establish a new concentration inequality and almost complete convergence of the value of the process of autoregressive Hilbertian of order one (ARH (1)), which directly stems from works of Serge Guillas, Denis Bosq, that is defined by X_t= ρ(X_(t- 1)) +ζ_t; t∈ Z where the random variables are all Hilbertian, ρ is a linear operator on a space of separable Hilbert and ζ_t which constitute a widely orthant dependent error (WOD, in short) after recalling some results on the finite-dimensional model of this type, we introduce the mathematical and statistical tools which will be used afterwards. Then we build an estimator of the operator and we establish its asymptotic properties.
本文建立了一个新的集中不等式和一阶自回归Hilbertian (ARH(1))过程值的几乎完全收敛性,它直接源于Serge Guillas, Denis Bosq的工作,定义为X_t= ρ(X_(t- 1)) +ζ_t;t∈Z,其中随机变量都是Hilbertian, ρ是Hilbert和ζ_t可分离空间上的线性算子,它们构成了广泛的正交相关误差(WOD,简而言之)。在回顾了这种类型的有限维模型的一些结果后,我们介绍了后面将使用的数学和统计工具。然后构造了算子的估计量,并建立了算子的渐近性质。
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引用次数: 0
ASSESSMENTS ON THE FRICTION AND WEAR BEHAVIOR OF SOME POLYMERIC MATERIALS USED IN SLIDING CONTACTS 一些用于滑动触点的聚合物材料的摩擦和磨损行为的评估
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-c02
IVONA CAMELIA PETRE, ELENA VALENTINA STOIAN, MARIA CRISTIANA ENESCU, CARMEN OTILIA RUSANESCU
The effects of friction on polymeric materials are quite difficult to explain due to the micro and macroscopic interactions of the friction coupling surfaces, which slide over each other. The friction and wear behavior of surfaces in sliding motion can be considered important design criteria. By adding different concentrations of reinforcing agent to the base material, the tribological performance of surfaces in sliding motion can be obtained. The experimental study was carried out on a pin-on-disc type tribological stand under dry friction conditions. The friction and wear behavior was analyzed for two base materials (PTFE and PA66) and the same glass fiber reinforced materials (PTFE + 25% fiber-glass and PA66+GF30). The tests were carried out at different sliding speeds and loading forces, v1=0.20 m/s, v2=0.50 m/s, v3=0.75 m/s and loading forces, Fn1=1.0 N, Fn2=2.5 N, Fn3=5.0 N over a friction length of 5000 mm. Research has shown that the coefficient of friction decreases with increasing loading force. Tests have shown that a high value of the friction coefficient does not mean a high wear rate, the wear rate values are between 10-12 and 10-15 m2/N. TheL(1) presences of the reinforcing agent in the base material have a significant importance on the friction and wear behavior under the action of operating factors (load, sliding speed).
摩擦对聚合物材料的影响是很难解释的,因为摩擦耦合表面的微观和宏观相互作用,它们相互滑动。表面在滑动运动中的摩擦和磨损行为可以被认为是重要的设计准则。通过在基材中添加不同浓度的增强剂,可以获得滑动运动表面的摩擦学性能。在干摩擦条件下对销盘式摩擦架进行了试验研究。分析了两种基材(PTFE和PA66)和同一种玻璃纤维增强材料(PTFE + 25%玻璃纤维和PA66+GF30)的摩擦磨损性能。在不同的滑动速度和加载力(v1=0.20 m/s, v2=0.50 m/s, v3=0.75 m/s)和加载力(Fn1=1.0 N, Fn2=2.5 N, Fn3=5.0 N)下进行试验,摩擦长度为5000 mm。研究表明,摩擦系数随加载力的增大而减小。试验表明,摩擦系数高并不意味着磨损率高,磨损率值在10-12 ~ 10-15 m2/N之间。(1)增强剂在基材中的存在对操作因素(载荷、滑动速度)作用下的摩擦磨损性能有显著影响。
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引用次数: 0
ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES 关于(p,q)-NARAYANA n维递归
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-a12
BAHAR KULOĞLU, ENGİN ÖZKAN
In this study, a different perspective was brought to Narayana sequences and one-, two-, three- and n-dimensional recurrence relations of these sequences were created. Then, some identities ranging from one to n-dimensions of these recurrences were created.
本文从不同的角度对Narayana序列进行了研究,建立了Narayana序列的一维、二维、三维和n维递归关系。然后,创建了这些递归式的1到n维的恒等式。
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引用次数: 0
CHARACTERIZATION OF A GRECO-ROMAN STUCCO MASK (REG. NO. 229) PRESERVED AT THE NATIONAL MUSEUM OF EGYPTIAN CIVILIZATION, CAIRO, EGYPT 希腊罗马灰泥面具的特征。不。保存在埃及开罗的埃及文明国家博物馆
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-b01
ABDULLAH M.A. KAMEL, MONA F. ALI, MOHAMMED S.A. KHEDR, HUSSEIN H. MAREY MAHMOUD
The Greco-Roman stucco masks are of great historical, artistic and religious importance. According to the restoration-conservation strategies, the detailed mineral characterization of artifacts is an important step that facilitates the selection of appropriate restoration procedures. Different characterization techniques such as USB digital microscope, scanning electron microscopy–energy dispersive X-ray analysis, X-ray diffraction analysis (XRD), thermal analysis (DTA/DTG), Fourier transform infrared and micro-Raman spectroscopies were used. The results indicated that gypsum is the main component of the stucco mask. As well, calcite was found as an impurity or an addition together with halite and anhydrite as deterioration products. The iron nail corrosion was the reason for a notable discoloration to the stucco mask. FTIR analysis confirms that animal glue is the adhesive material used for the reassembly of the mask. The used pigments for painting the mask are hematite for red-orange color, mixture of hematite and magnetite for brown color and mixture of gypsum and hematite for the white brown color.
希腊罗马时期的灰泥面具具有重要的历史、艺术和宗教意义。根据修复保护策略,文物的详细矿物特征是促进选择适当修复程序的重要步骤。采用了不同的表征技术,如USB数码显微镜、扫描电子显微镜-能量色散x射线分析、x射线衍射分析(XRD)、热分析(DTA/DTG)、傅里叶变换红外和微拉曼光谱。结果表明,石膏是灰泥面膜的主要成分。方解石作为杂质或添加剂与盐石、硬石膏一起变质。铁钉腐蚀是造成灰泥面具明显变色的原因。FTIR分析证实,动物胶是用于口罩重组的粘合材料。绘制面具所用的颜料为赤橘色的赤铁矿、棕色的赤铁矿和磁铁矿的混合物、白棕色的石膏和赤铁矿的混合物。
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引用次数: 0
ANALYTICAL SOLUTIONS OF TIME FRACTIONAL NEGATIVE ORDER KdV-CALOGERO-BOGOYAVLENSKII-SCHIFF EQUATION 时间分数阶负阶kdv - calogero - bogoyavlenski - schiff方程的解析解
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-a15
ALI KURT, ABDULSAMET BEKTAS
In this work, we obtain the exact solutions of negative-order forms for KDV-Calogero-Bogoyavlenskii-Schiff equation (nKdV-nCBS) with conformable fractional derivative by using method. Chain rule and wave transform are used for transforming nonlinear fractional partial differential equation into nonlinear integer order ordinary differential equation. By this way, we don’t need any normalization or reduction formulas which have complex calculation procedures. Moroever 3D graphical simulations are presented to show the geometrical behaviour of derived solutions.
本文利用方法得到了具有可调分数阶导数的KDV-Calogero-Bogoyavlenskii-Schiff方程(nKdV-nCBS)负阶形式的精确解。利用链式法则和波动变换将非线性分数阶偏微分方程转化为非线性整数阶常微分方程。通过这种方式,我们不需要任何具有复杂计算过程的归一化或约简公式。此外,还提出了三维图形模拟来显示导出解的几何特性。
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引用次数: 0
WEARABLE GAIT DEVICE FOR LONG-TERM MONITORING 用于长期监测的可穿戴步态装置
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-c01
ION CACIULA, GIORGIAN MARIUS IONITA, HENRI GEORGE COANDA, DINU COLTUC, NICOLETA ANGELESCU, FELIX ALBU, DANIELA HAGIESCU
This study describes a low-cost and easy to deploy gait monitoring system that uses an ESP32 microcontroller and an ICM-20948 module. The ESP32 microcontroller collects data from the ICM-20948 module and these data are used to train a convolutional neural network (CNN) to classify gait patterns into two categories: normal and pathological. The results show that the system can achieve a high accuracy for binary gait classification, being able to correctly classify 97.05% of the normal gait samples and 84.54% of the pathological gait samples. The power consumption of the devive was measured using a calibrated and dual-acquisition digital multimeter. The estimated operating time was around 12 hours, with a battery capacity of 1800 mAh LiPo type. Therefore, it could be used to track the gait of patients with neurological disorders or to assess the effectiveness of gait rehabilitation treatments.
本研究描述了一种使用ESP32微控制器和ICM-20948模块的低成本、易于部署的步态监测系统。ESP32微控制器从ICM-20948模块收集数据,这些数据用于训练卷积神经网络(CNN)将步态模式分为两类:正常和病理。结果表明,该系统对正常步态样本的正确率为97.05%,对病理步态样本的正确率为84.54%,能够达到较高的步态二值分类准确率。采用校准后的双采集数字万用表测量器件的功耗。预计工作时间约为12小时,电池容量为1800毫安时的LiPo型。因此,它可以用于跟踪神经系统疾病患者的步态或评估步态康复治疗的有效性。
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引用次数: 0
ON TWO NEW IDENTITIES CONCERNING THE Q-INTEGERS AND SEVERAL DIVISIBILITY PROPERTIES FOR THESE INTEGERS 关于q -整数的两个新恒等式及其若干可整除性质
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-a13
AHMET IPEK
In this paper, we first prove two new identities concerning the q-integers and then for these integers we derive several divisibility properties based on these identities and on properties of the q-integers
本文首先证明了关于q-整数的两个新的恒等式,然后根据这些恒等式和q-整数的性质,给出了这些整数的几个可整除性质
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引用次数: 0
NEW TECHNIQUE TO ACCELERATE THE CONVERGENCE OF THE SOLUTIONS OF FRACTIONAL ORDER BRATU-TYPE DIFFERENTIAL EQUATIONS 加速分数阶bratu型微分方程解收敛的新技术
Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-a04
ALI KHALOUTA
There are many common combination methods for solving fractional differential equations. In this work, we propose a new technique called Adomian decomposition transform method (ADTM) in order to provide a new approximate series solution of fractional order Bratu-type differential equations. The fractional order derivative is described in the Caputo sense. The ADTM is a combination of two powerful methods, the Jafari transform method and Adomian decomposition method. For accelerating the convergence of ADTM when used for these equations, we replace the nonlinear terms by their Taylor expansion. To demonstrate the efficiency and validity of the proposed method, four numerical examples are presented and we compare our obtained results with the analytical results. Finally, the numerical results obtained are represented graphically using MATLAB software.
求解分数阶微分方程有许多常用的组合方法。在这项工作中,我们提出了一种新的技术,称为Adomian分解变换法(ADTM),以提供分数阶bratu型微分方程的一种新的近似级数解。分数阶导数是在卡普托意义上描述的。ADTM结合了两种强大的方法:Jafari变换法和Adomian分解法。为了加速ADTM对这些方程的收敛,我们用非线性项的泰勒展开式代替了非线性项。为了证明该方法的有效性和有效性,给出了四个数值算例,并将所得结果与解析结果进行了比较。最后,用MATLAB软件对数值结果进行了图形化表示。
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引用次数: 0
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Journal of Science and Arts
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