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Geometric and Physical Properties of Curvature Tensors -A Review 曲率张量的几何和物理性质综述
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2731
Ganesh Prasad Pokhariyal
Bernard Riemann was the first to define curvature tensor. Most of the curvature tensors are defined with the help of Riemann curvaturetensor, Ricci tensor and metric tensor.It has been observed that different combinations of Ricci tensor and metric tensor in the defined tensors lead to some of the different geometrical and physical properties.M.S.C. 2010:53C25, 53C43.
黎曼是第一个定义曲率张量的人。大多数曲率张量是借助黎曼曲率张量、里奇张量和度规张量来定义的。已经观察到,在定义的张量中,里奇张量和度规张量的不同组合会导致一些不同的几何和物理性质。现年53岁的2010:53C25 c43。
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引用次数: 0
Some Fixed Point Theorems for ????-Admissible Mappings in BipolarMetric Spaces ????的不动点定理-双极化空间中的可容许映射
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2735
Manoj Kumar, Vinit Mor, Pankaj .
In the present paper, some new contractions are introduced and fixed point theorems for such contractions are proved in bipolar metric spaces. Some examples are also presented to illustrate the main results.
本文在双极度量空间中引入了一些新的压缩,并证明了这些压缩的不动点定理。文中还举例说明了本文的主要结论。
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引用次数: 0
Performance Analysis of Different Machine Learning Algorithms on Credit Card Fraud Detection 不同机器学习算法在信用卡欺诈检测中的性能分析
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2739
Amanpreet Kaur, Vansh Sachdeva, Abhijot Singh, Ayush Jaiswal, Niyati Aggrawal, Archana Purwar
Machine learning (ML) is a logical investigation of various algorithms and factual models that PCs utilize to carry out particular operations that are not clearly programmed. This paper aims to statistically analyze different machine learning algorithms, and compare and contrast their performance for credit card fraud detection. Algorithms used are Artificial Neural Networks(ANN), Sample Vector Machine (SVM), and Kth Nearest Neighbour (KNN), Decision Tree, Logistic Regression and Random Forest. All these above mentioned algorithms are compared on basis of performance measures. It is deduced that the random forest algorithm is the best algorithm.
机器学习(ML)是对各种算法和事实模型的逻辑研究,pc利用这些算法和模型来执行未明确编程的特定操作。本文旨在统计分析不同的机器学习算法,并比较和对比它们在信用卡欺诈检测中的性能。使用的算法有人工神经网络(ANN)、样本向量机(SVM)、第k近邻(KNN)、决策树、逻辑回归和随机森林。在性能指标的基础上对上述算法进行了比较。推导出随机森林算法是最佳算法。
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引用次数: 0
Analysing Machine Learning based Approaches for Detecting Late Blight Disease in Potato Crop 基于机器学习的马铃薯晚疫病检测方法分析
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2738
Shikha Choudhary, Bhawna Saxena
Agriculture is a significant contributor in the world economy. With the drastic change in the geographical conditions, the occurrence of extreme events like floods, droughts, heat waves, etc. are increasing, thereby harming crop yield. Additionally, crop yield is adversely impacted by crop diseases causing significant losses towards food production. Protecting against losses incurred by crop diseases can aid in improving food security as well as strengthening the economy. Traditional methods of crop disease detection are time and labor-intensive, whereas the use of machine learning (ML) based methods fastens up the process,thereby helping implement corrective actions at an early stage. Multiple ML algorithms find application in the field of crop disease detection. Nevertheless, there exists a need to investigate the accuracies of different ML algorithm with regardto disease detection for a specific crop and disease combination. The performance of three ML algorithms, namely Random Forest, Linear Discriminant Analysis, and k-Nearest Neighbors with respect to late blight disease in potatoeswas investigated in this work.
农业是世界经济的重要贡献者。随着地理条件的急剧变化,洪水、干旱、热浪等极端事件的发生越来越多,从而损害了作物产量。此外,作物病害对作物产量产生不利影响,对粮食生产造成重大损失。防止作物病害造成的损失有助于改善粮食安全并加强经济。传统的作物病害检测方法耗时耗力,而使用基于机器学习(ML)的方法加快了这一过程,从而有助于在早期阶段实施纠正措施。多种机器学习算法在作物病害检测领域得到了应用。然而,有必要研究不同ML算法在特定作物和疾病组合的疾病检测方面的准确性。本文研究了随机森林、线性判别分析和k近邻三种机器学习算法在马铃薯晚疫病方面的性能。
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引用次数: 0
Rough Set Model based on Union Neighborhood 基于联合邻域的粗糙集模型
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2732
Priti Madan, Alka Tripathi
The rough set idea was presented asan approach to deal with the ambiguity or uncertainty of the data in information systems. The neighborhood (nbd) system is an essential tool for reducing the boundary area and increasing the accuracy of the measurement. The main focus of the present paperis to introduce the new type of union nbds (briefly, ????ʝ-nbds) and to establish their properties. These ????ʝ-nbds are applied to obtain the concept of ????ʝ-lower approximation and ????ʝ-upper approximation, and ????ʝ-accuracy measure. Their properties are proposed. Finally, a medical application to demonstrate the significance of ????ʝ-nbds is presented
提出了粗糙集思想作为处理信息系统中数据的模糊性或不确定性的一种方法。邻域(nbd)系统是减小边界面积、提高测量精度的重要工具。本文主要介绍了一类新的并集nbd(简写为???? -nbd),并建立了它们的性质。这些? ?应用j -nbd得到????的概念下近似和????上近似,和????ʝ准确性的措施。提出了它们的性质。最后以医疗应用????的意义进行论证给出了[-nbds]
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引用次数: 0
Numerical Solution of Natural Convection Nanofluid Flow over aNon-Isothermal Vertical Plate 纳米流体在非等温垂直板上自然对流流动的数值解
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2734
Mahendra Pratap Pal, Lokendra Kumar
The natural convection nanofluidflow over a non-isothermal vertical plate is studied numerically. The effects of Brownian motion and thermophoresis parameters are incorporated into models used for nanofluids. The non-linear partial differential equations and boundary conditions are transformed into a set of nonlinear ordinally differential equations using the similarity transformations. The resulting system of equations are solved numerically by using shooting techniques. This solution depends on the Prandtl number (Pr), Buoyancy ratio (Nr), Brownian-motion (Nb), thermophoresis parameter (Nt), Lewis number (Le), and power-law exponent (λ). For different values of λ, Le and Pr, the influence of reduced Nusselt number with Nr, Nb and Nt is represented by correlation formulas and compared with previously published results and found to be in better agreement.
对纳米流体在非等温垂直板上的自然对流流动进行了数值研究。布朗运动和热泳参数的影响被纳入模型用于纳米流体。利用相似变换将非线性偏微分方程和边界条件转化为一组非线性常微分方程。利用射击技术对所得方程组进行了数值求解。该解取决于普朗特数(Pr)、浮力比(Nr)、布朗运动(Nb)、热泳参数(Nt)、刘易斯数(Le)和幂律指数(λ)。对于λ、Le和Pr的不同值,用相关公式表示了Nusselt数对Nr、Nb和Nt的影响,并与先前发表的结果进行了比较,发现两者更吻合。
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引用次数: 0
Analysis of volume fraction of Casson Nanofluid flow over a flat moving plate with thermal radiation and nonuniform heat source/sink 卡森纳米流体在热辐射非均匀热源/吸热平板上流动的体积分数分析
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2736
Jagadish V Tawade, Mahadev M Biradar, Dakshayini N, Manjunatha B
We provide numerary analysis of Casson nanofluids flowing through porous materials on stretched magnetic surfaces. The behavior of non-Newtonian liquids is described by the Casson liquid model. Similarity transformations are used to create nonlinear partial differential equations and are solved using numerical methods. Nusselt Number,Skin Friction Coefficient, Temperature, Velocity results are collected. Graphs are used to show the effects of physical factors on the flow and heat transfer properties of nanofluids. These include the Kasson parameter, the porosity parameter, the magnetic parameter, the radiation parameter, and the Prandtl number. Results show that the temperature profile increases while the velocity field decreases with increasing Casson nanofluidic parameters. A decrease in the thickness of the pulse boundary layer and an increase in the thickness of the thermal boundary layer can be seen with increasing magnetic parameters alone.
我们提供了卡森纳米流体在拉伸磁性表面上流过多孔材料的数值分析。用卡森液体模型描述了非牛顿液体的行为。相似变换用于建立非线性偏微分方程,并使用数值方法求解。收集努塞尔数、表面摩擦系数、温度、速度等结果。图形显示了物理因素对纳米流体流动和传热性能的影响。这些参数包括卡松参数、孔隙度参数、磁性参数、辐射参数和普朗特数。结果表明:随着卡森纳米流体参数的增大,温度分布增大,速度场减小;随着磁参数的增加,脉冲边界层的厚度减小,热边界层的厚度增大。
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引用次数: 0
Numerical Solution of Two-Dimensional Fractional Order Diffusion Equation by using Elzaki Transform with Residual Power Series Method 用残差幂级数法Elzaki变换数值解二维分数阶扩散方程
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2733
Geeta Arora, Rajendra Pant
The Elzaki transform with RPS method is an efficient and reliable approach for solution of non-integer order linear as well as non-linear differential equations. The major endeavourof current work is to find the solution of two dimensional non-integer order diffusion equation by Elzaki transform with RPS method. Firstly, Elzaki is applied on this equation. Secondly, inverse Elzaki is taken on this equation for finding the expressionof solution. Thirdly, assumed approximate solution is substituted on this equation. Then unidentified coefficient functions are obtained by using residual function is equal to zero as well as combining its initial circumstances. At last, coefficient functions are substituted in power series form for finding finite approximate logical solutions. The judgment between exact solution and approximate analytic solutions with different number of terms of this equation are determined and compared for reliability. This method reduces the size of computational works of solution of non-integer order non-linear diffusion equation
采用RPS法的Elzaki变换是求解非整数阶线性和非线性微分方程的一种有效、可靠的方法。本文的主要工作是利用Elzaki变换和RPS方法求解二维非整数阶扩散方程。首先,将Elzaki应用于该方程。其次,对该方程进行Elzaki逆求解表达式。第三,代入假定近似解。然后利用残差函数等于零并结合其初始情况,得到了未识别系数函数。最后,将系数函数代入幂级数形式,求出有限近似逻辑解。确定了该方程的精确解与不同项数的近似解析解的判定,并对其可靠性进行了比较。该方法减少了求解非整数阶非线性扩散方程的计算量
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引用次数: 0
Analytical Approach to Fractional Order Newell-Whitehead-Segel Equations by Sumudu transform Iterative Method 分数阶newwell - whitehead - segel方程的Sumudu变换迭代分析方法
Pub Date : 2023-08-30 DOI: 10.61294/jiaps2023.2737
R.K. Bairwa, Priyanka ., Sanjeev Tyagi
The present paper aims to solve the linear and nonlinear time-fractional Newell-Whitehead-Segel equations using the Sumudu transformiterative method. The time-fractional derivatives areconsidered in the Caputo sense.In addition, the approximate analytical solutions derived in series form are graphically represented in this investigation, and the solution graphs show that the approximate solution is closely related to the exact solution
本文旨在用Sumudu变换迭代法求解线性和非线性时分式newwell - whitehead - segel方程。时间分数阶导数是在卡普托意义上考虑的。此外,本文还用图形表示了以级数形式导出的近似解析解,解图表明近似解与精确解密切相关
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引用次数: 0
On *gs- Homeomorphism in Topological Spaces 拓扑空间中的*g -同胚
Pub Date : 2017-07-02 DOI: 10.22147/JUSPS-A/290705
S. Agarwal, C. K. Goel, Manoj K. Garg
In chapter 7 the author studies with the important concept gsΛhomeomorphisms by using gsΛ-open sets. It is weaker than homeomorphisms.The notion of homeomorphisms plays a dominant role in topology and so many authors introduced varies types of homeomorphisms in topological spaces. In 1995, Maki, Devi and Balachandran introduced the concepts of semigeneralized homeomorphisms and generalized semi-homeomorphisms and studied some semi topological properties. Devi and Balachandran introduced a generalization of α-homeomorphism in 2001. gsΛ*-homeomorphism in topological spaces is also introduced and the group structure of the set of all gsΛ*-homeomorphisms are also investigated the group structure of the set of all gsΛ*-homeomorphisms.
在第七章中,作者利用gsΛ-open集合对重要概念gsΛhomeomorphisms进行了研究。它比同胚弱。同胚的概念在拓扑学中占有主导地位,因此许多作者在拓扑空间中引入了各种类型的同胚。1995年,Maki、Devi和Balachandran引入了半广义同胚和广义半同胚的概念,并研究了半拓扑性质。Devi和Balachandran在2001年引入了α-同胚的推广。引入了拓扑空间中的GsΛ *-同胚,研究了所有gsΛ*-同胚集合的群结构以及所有gsΛ*-同胚集合的群结构。
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引用次数: 1
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Journal of International Academy Of Physical Sciences
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