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Global Journal of Pure and Applied Mathematics最新文献

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Bayesian Shift Point Estimation of Burr Type III Distribution under General Entropy Loss Function 广义熵损失函数下毛刺III型分布的贝叶斯移位点估计
Pub Date : 2022-06-30 DOI: 10.37622/gjpam/18.2.2022.465-477
U. Srivastava, H. Kumar
This paper considers a mean shift with an unknown shift point in a process Burr type III sequence and estimates the unknown shift point (change point) by the method of Bayesian Estimation Procedure. Pre-shift and post-shift means are estimated concurrently with the change point. When the underlying process overestimate or underestimate the mean shift in process we use asymmetric Loss function as General entropy Loss Function in order to estimate the mean shift. A Simulation Study is done by using R software.
本文研究了一类过程Burrⅲ型序列中具有未知移位点的均值移位,并利用贝叶斯估计方法对未知移位点(变化点)进行了估计。位移前均值和位移后均值与变化点同时估计。当基础过程高估或低估过程中的平均位移时,我们使用非对称损失函数作为一般熵损失函数来估计平均位移。利用R软件进行了仿真研究。
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引用次数: 0
I-SOFT – The Best Method for Finding the Best IBFS to Transportation Problems I-SOFT -寻找运输问题最佳IBFS的最佳方法
Pub Date : 2022-06-30 DOI: 10.37622/gjpam/18.1.2022.377-391
R. Murugesan
In this paper, we have improved the performance of the existing SOFTMIN method for finding best initial basic feasible solution (IBFS) to transportation problems (TPs) by imposing two changes / conditions on it. The “Improved SOFTMIN” method is simply called as I-SOFT method. The performance of the I-SOFT over SOFTMIN has been tested on a set of 21 identified and acknowledged “challenging” and “more challenging” TPs. Experimental results validate that the performance of I-SOFT is much better than that of by SOFTMIN. Besides, at present-day the I-SOFT method has been identified and long-established as the best method to find the best IBFS to TPs. This is factual because at present-day no method has been proposed and proved as the best method to find the optimal solution directly to any given TP. 2010
在本文中,我们通过对现有的SOFTMIN方法施加两个变化/条件来改进其寻找运输问题(tp)的最佳初始基本可行解(IBFS)的性能。“改进的SOFTMIN”方法简称为I-SOFT方法。I-SOFT在SOFTMIN上的性能已经在一组21个确定并承认的“具有挑战性”和“更具挑战性”的tp上进行了测试。实验结果表明,I-SOFT算法的性能明显优于SOFTMIN算法。此外,目前,I-SOFT方法已被确定并长期确立为寻找最佳IBFS到tp的最佳方法。这是事实,因为目前还没有任何方法被提出并证明是直接找到任何给定TP的最优解的最佳方法。2010
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引用次数: 0
Generators of the Augmentation Ideal in a Group Ring R[G] 群环R中增广理想的产生器[G]
Pub Date : 2022-03-30 DOI: 10.37622/gjpam/18.1.2022.63-70
H. Singh, D. Mishra, R. N. Das
This research paper provides an important information about the special type of ideal, that is augmentation ideal. We use the concept of augmentation ideal in algebraic structure group ring R [ G ]. Let us suppose that there be a homomorphism f such that,        : here homomorphism f is known as augmentation map. But the kernel of f this means ker f is termed as augmentation ideal. Thus it is ovious that it is a special type of ideal. This paper also describes the properties of augmentation ideal as it is a left as well as a right ideal in R [ G ]. This ideal is generated by the difference of group elements G . When we use identity element of group G then it will be generated by ( g – e ), but group G is based on multiplication operation so the given augmentation ideal is generated by ( g – 1 g ). Since, group ring algebraic structure R [ G ] is a ring so it must have ideals. But here we have discussed upon augmentation ideal of R [ G ] which is other then its normal ideals. We have also proved some theorems as well as lemmas are based on the concept of augmentation ideal and generators of the augmentation
本文提供了一个关于理想的特殊类型——增强理想的重要信息。在代数结构群环R中引入增广理想的概念[G]。让我们假设有一个同态f,:这里同态f被称为增强地图。但是f的核。这意味着f被称为增广理想。因此,它显然是一种特殊类型的理想。本文还描述了增广理想在R [G]中既是左理想又是右理想的性质。这个理想是由群元素G的差异产生的。当我们使用G群的单位元时,它将由(G - e)生成,但是G群是基于乘法运算的,所以给定的增广理想是由(G - 1g)生成的。因为群环代数结构R [G]是环,所以它一定有理想。但这里我们讨论的是R [G]的增广理想,它不同于它的正常理想。我们还证明了一些定理和引理是基于增广理想的概念和增广的生成
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引用次数: 0
Mathematical Modeling of Rubella Disease Dynamics with Vertical Transmission 垂直传播的风疹病动力学数学模型
Pub Date : 2022-03-30 DOI: 10.37622/gjpam/18.1.2022.392-400
K. Jain, Anuradha Bhattacharjee
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引用次数: 0
On Star Coloring of Kronecker Product of Graphs 图的Kronecker积的星形着色
Pub Date : 2022-02-28 DOI: 10.37622/gjpam/18.1.2022.273-282
P. Hemalatha, S. N. Subhathra
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引用次数: 0
A Numerical Study of Modified Burgers’ Equation in Charged Dusty Plasmas 带电尘埃等离子体中修正Burgers方程的数值研究
Pub Date : 2022-02-28 DOI: 10.37622/gjpam/18.1.2022.155-169
H. Deka, J. Sarma
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引用次数: 1
Fixed Point Type Theorems for Pentagonal Cone Metric space 五边形锥度量空间的不动点型定理
Pub Date : 2022-02-28 DOI: 10.37622/gjpam/18.1.2022.297-305
Neetu Sharma
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引用次数: 0
Common fixed point theorems for four self-mappings satisfying (CLRST) property via A -class functions in fuzzy metric space 模糊度量空间中A类函数的四个满足性质的自映射的公共不动点定理
Pub Date : 2021-12-30 DOI: 10.37622/gjpam/17.2.2021.319-322
K. Wadhwa, Arvind Gupta
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引用次数: 0
Introduction on Revised Fuzzy Modular Spaces 修正模糊模空间简介
Pub Date : 2021-12-30 DOI: 10.37622/gjpam/17.2.2021.303-317
A. Muraliraj, R. Thangathamizh
The concept of Revised fuzzy modular metric space is firstly introduced in this paper. Afterwards, a Hausdorff topology induced by a β-homogeneous Revised fuzzy modular metric is defined and some related topological properties are also examined. And then, several theorems on μ-completeness of the Revised fuzzy modular metric space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to Revised fuzzy modular metric spaces.
本文首先引入修正模糊模度量空间的概念。然后,定义了由β齐次修正模糊模度量引起的Hausdorff拓扑,并检验了一些相关的拓扑性质。然后,给出了修正模糊模度量空间μ完备性的几个定理。最后,将著名的贝尔定理和一致极限定理推广到修正模糊模度量空间。
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引用次数: 1
Why do we use only multiplicative group in the formation of group ring R[G]? 为什么在群环R[G]的形成中只使用乘法群?
Pub Date : 2021-08-30 DOI: 10.37622/gjpam/17.2.2021.209-213
H. Singh, D. Mishra
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引用次数: 0
期刊
Global Journal of Pure and Applied Mathematics
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