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Hollow Cylinder with Thermoelastic Modelling by Reduced Differential Transform 用简化微分变换建立热弹性空心圆柱模型
IF 0.3 Q4 Mathematics Pub Date : 2022-03-13 DOI: 10.22342/jims.28.1.1036.8-18
S. B. Pimpare, C. S. Sutar
The term thermal stresses are related to mechanics of materials. The thermal stress is formed due to any changes in temperature of a material. The large change in temperature concludes to higher the thermal stresses. Also, there is an effect of thermal expansion coefficient on thermal stresses. The thermal expansion coefficient is different for different materials. In the present paper, the design of a mathematical model concerning the thermal stresses in hollow cylinder subject to the heat conduction with initial and boundary conditions have developed. The basic aim of this work is related to calculations of thermal stresses and thermoelastic displacement in the hollow cylinder by using the reduced differential transform method. The analytical solution is satisfied with the aim of special cases for the copper material properties. The numerical results are illustrated graphically by using mathematical software SCILAB.
热应力一词与材料力学有关。热应力是由于材料温度的任何变化而形成的。温度的大变化导致热应力更高。此外,热膨胀系数对热应力也有影响。不同材料的热膨胀系数不同。本文建立了一个考虑初始和边界条件下热传导的空心圆柱体热应力的数学模型。这项工作的基本目的是使用简化微分变换方法计算空心圆柱体中的热应力和热弹性位移。该解析解满足了铜材料性能特殊情况的目的。利用数学软件SCILAB对数值结果进行了图解说明。
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引用次数: 2
A Dichotomous Behavior of Guttman-Kaiser Criterion from Equi-Correlated Normal Population 等相关正态总体Guttman-Kaiser准则的二分类行为
IF 0.3 Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22342/jims.28.3.1158.272-303
Y. Akama, Atina Husnaqilati
We consider a $p$-dimensional, centered normal population such that all variables have a positive variance and any correlation coefficient between different variables is a given nonnegative constant $rho<1$. Suppose that both the sample size $n$ and population dimension $p$ tend to infinity with $p/n to c>0$. We prove that the limiting spectral distributions of the sample covariance matrices and the sample correlation matrices are Marv{c}enko-Pastur distribution of index $c$ and scale parameter $1-rho$.By the limiting spectral distributions, we rigorously show the limiting behavior of widespread stopping rules Guttman-Kaiser criterion and cumulative-percentage-of-variation rule in PCA and EFA.As a result, we establish the following dichotomous behavior of Guttman-Kaiser criterion when both $n$ and $p$ are large, but $p/n$ is small: (1) the criterion retains a small number of variables for $rho>0$, as suggested by Kaiser, Humphreys, and Tucker [Kaiser, H. F. (1992). On Cliff's formula, the Kaiser-Guttman rule and the number of factors. emph{Percept. Mot. Ski.} 74]; and(2) the criterion retains $p/2$ variables for $rho=0$, as in a simulation study [Yeomans, K. A. and Golder, P. A. (1982). The Guttman-Kaiser criterion as a predictor of the number of common factors. emph{J. Royal Stat. Soc. Series D} 31(3)].
我们考虑一个$p$维、居中的正态总体,这样所有变量都有正方差,不同变量之间的任何相关系数都是给定的非负常数$rho0$。我们证明了样本协方差矩阵和样本相关矩阵的极限谱分布是指数$c$和尺度参数$1-rho$的Mar v{c} enko-Pastur分布。通过极限谱分布,我们严格地证明了PCA和EFA中广泛停止规则Guttman-Kaiser准则和累积变异百分比规则的极限行为。因此,当$n$和$p$都很大,但$p/n$很小时,我们建立了以下Guttman-Kaiser准则的二分类行为:(1)根据Kaiser, Humphreys和Tucker [Kaiser, H. F.(1992)]的建议,该准则保留了$rho>0$的少量变量。克里夫公式,凯撒-古特曼法则和因子数。emph{感知。不是。}[74];(2)标准保留$rho=0$的$p/2$变量,如模拟研究[Yeomans, K. a .和Golder, P. a .(1982)]。Guttman-Kaiser标准作为共同因素数量的预测因子。emph{皇家司法学院D系列}31(3)]。
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引用次数: 2
Gourava and Hyper-Gourava Indices of Some Cactus Chains 一些仙人掌链的葫芦娃和超葫芦娃指数
IF 0.3 Q4 Mathematics Pub Date : 2021-12-10 DOI: 10.22342/jims.27.3.989.249-261
B. B., Shruti Policepatil
The mathematical chemistry deals with applications of graph theory to study the physicochemical properties of molecules theoretically. A topological index of a graph is a numeric quantity obtained from the graph mathematically. A cactus graph is a connected graph in which no edges lie in more than one cycle. In this paper, we compute Gourava and hyper-Gourava indices of some cactus chains.
数学化学涉及图论在理论上研究分子物理化学性质的应用。图的拓扑指数是从数学上得到的一个数字量。仙人掌图是一个连通图,其中没有边位于一个以上的循环中。本文计算了一些仙人掌链的古拉瓦指数和超古拉瓦指数。
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引用次数: 0
Application of Jaccard Distance Measure for IVIF MCDM Problems Jaccard距离测度在IVIF MCDM中的应用
IF 0.3 Q4 Mathematics Pub Date : 2021-12-02 DOI: 10.22342/jims.27.3.1006.249-260
Anusha Vulimiri, Sireesha Veeramachaneni
This paper proposes an approach to solve Multiple Criteria Decision-making (MCDM) problems when the data given by expert is Interval-Valued Intuitionistic Fuzzy (IVIF) information. A decision-making model is constructed by using the distance measure: Normalized Jaccard distance measure. The robustness of the model is illustrated and validated through numerical example. Further, the problem of choosing best e-learning tool in higher education is considered as a case study.
提出了一种解决专家给出的数据为区间值直觉模糊(IVIF)信息时的多准则决策方法。利用距离测度构建决策模型:归一化Jaccard距离测度。通过数值算例验证了该模型的鲁棒性。在此基础上,对高等教育中网络学习工具的选择问题进行了实证研究。
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引用次数: 0
Connectivity Indices of Coprime Graph of Generalized Quarternion Group 广义四元群的素图连通性指标
IF 0.3 Q4 Mathematics Pub Date : 2021-12-02 DOI: 10.22342/jims.27.3.1043.285-296
S. Zahidah, D. Mahanani, Karine Lutfiah Oktaviana
Generalized quarternion group (Q_(4n)) is a group of order $4n$ that is generated by two elements x and y with the properties x^{2n}=y^4=e and xy=yx^{-1}. The coprime graph of Q_{4n}, denoted by Omega_{Q_{4n}}, is a graph with the vertices are elements of Q_{4n} and the edges are generated by two elements that have coprime order. The first result of this paper presented that Omega_{Q_{4n}} is a tripartite graph for n is odd and Omega_{Q_{4n}} is a star graph for n is even. The second one presented the connectivity indices of Omega_{Q_{4n}}. Connectivity indices of a graph is a research area in mathematics that popularly applied in chemistry. There are six indices that are presented in this paper, those are first Zagreb index, second Zagreb index, Wiener index, hyper-Wiener index, Harary index, and Szeged index.Generalized quaternion group (Q4n) is a group of order 4n that is generated by two elements x and y with the properties x 2n = y 4 = e and xy = yx−1 . The coprime graph of Q4n, denoted by ΩQ4n , is a graph with the vertices are elements of Q4n and the edges are formed by two elements that have coprime order. The first result of this paper presents that ΩQ4n is a tripartite graph for n is an odd prime and ΩQ4n is a star graph for n is a power of 2. The second one presents the connectivity indices of ΩQ4n . Connectivity indices of a graph is a research area in mathematics that popularly applied in chemistry. There are six indices that are presented in this paper, those are first Zagreb index, second Zagreb index, Wiener index, hyper-Wiener index, Harary index, and Szeged index.
广义四元群(Q_(4n))是一个阶$4n$的群,由两个元素x和y生成,其性质为x^{2n}=y^4=e和xy=yx^{-1}。Q_{4n}的同素图,用Omega_{Q_{4n}}表示,是一个顶点为Q_{4n}的元素,边由两个具有同素阶的元素生成的图。第一个结果证明了当n为奇数时,是一个三部图,当n为偶数时,是一个星图。第二张图为Omega_{Q_{4n}}的连通性指数。图的连通性指数是数学中的一个研究领域,在化学中得到了广泛的应用。本文提出了六个指数,分别是第一萨格勒布指数、第二萨格勒布指数、维纳指数、超维纳指数、哈里指数和塞格德指数。广义四元数群(Generalized quaternion group, Q4n)是由两个元素x和y生成的4n阶群,其性质为x 2n = y 4 = e和xy = yx−1。Q4n的素数图,记为ΩQ4n,是顶点为Q4n的元素,边由两个素数阶的元素构成的图。本文的第一个结果是,当n是奇素数时ΩQ4n是一个三部图,当n是2的幂时ΩQ4n是一个星图。第二张是ΩQ4n的连通性指标。图的连通性指数是数学中的一个研究领域,在化学中得到了广泛的应用。本文提出了六个指数,分别是第一萨格勒布指数、第二萨格勒布指数、维纳指数、超维纳指数、哈里指数和塞格德指数。
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引用次数: 4
Analysis of Forest Carrying Capacity on Eos histrio in North Sulawesi 北苏拉威西岛历史上森林承载力的分析
IF 0.3 Q4 Mathematics Pub Date : 2021-12-02 DOI: 10.22342/jims.27.3.1018.261-269
Nastitie Nastitie, G. Rachmaputri
The International Union for the Conservation of Nature and Natural Resource (IUCN) Red List found that there are currently over 8.000 critically endangered species and the number seems likely to rise in the future. One of the species included in the IUCN Red List is Eos histrio, also known as the Red-and-blue lory, a bird endemic to Indonesia that inhabits Nusa Utara Islands, North Sulawesi. It lives in a forest with tall trees as its natural habitat. According to the Central Bureau of Statistics (BPS), the forest area is decreasing every year and has caused the bird to lose their habitats and its population is declining. IUCN also reported that there are 8.230 – 21.400 Eos histrio in 1999, however in 2016, it was only around 5.500 – 14.000. Its population will be declining due to extensive deforestation and poor conservation. Using Pontryagin maximum principle, this study found that one of the methods to protect the Eos histrio population is by reducing deforestation in North Sulawesi by at least 10% where the population of the bird could increase within a year.
国际自然与自然资源保护联盟(IUCN)红色名录发现,目前有超过8000种极度濒危物种,这一数字似乎在未来还会上升。被列入世界自然保护联盟红色名录的物种之一是Eos历史鸟,也被称为红蓝荣耀,是印度尼西亚特有的鸟类,栖息在北苏拉威西岛的努沙乌塔拉群岛。它生活在森林里,高大的树木是它的自然栖息地。根据中央统计局(BPS)的数据,森林面积每年都在减少,导致这种鸟失去栖息地,其数量也在下降。世界自然保护联盟还报告说,1999年有8230 - 21400只狮子,但在2016年,这一数字仅为5500 - 14000只左右。由于大面积的森林砍伐和保护不力,其人口将会下降。利用庞特里亚金最大值原理,本研究发现,保护Eos历史鸟种群的方法之一是将北苏拉威西的森林砍伐减少至少10%,那里的鸟类种群可能在一年内增加。
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引用次数: 0
On Purely Hermitian R-complex Finsler Space with (α, β)-Metric 具有(α,β)-度量的纯HermitianR-复Finsler空间
IF 0.3 Q4 Mathematics Pub Date : 2021-07-24 DOI: 10.22342/JIMS.27.2.929.%P
K. Venkatesha, S. Narasimhamurthy, K. Chandru
In the present paper we established some interesting results on purely Hermitian R-complex Finsler space with (α, β)-metrics, Firstly we characterize the conditions for the (α, β)-metric F = p α2 + εβ2 to be a purely Hermitian. Then determined the fundamental metric tensor, its inverse and determinent of the above metric. Further obtained Chern-Finsler connection coefficients and analysed necessary conditions under which an purely Hermitian R-complex Finsler space with (α, β)-metric to be Berwald, Kahler and strongly Kahler also given some examples.
本文在具有(α,β)-度量的纯HermitianR-复Finsler空间上建立了一些有趣的结果。首先,我们刻画了(α,α)-度量F=pα2+εβ2为纯Hermitian的条件。然后确定了基本度量张量,它的逆和上述度量的确定性。进一步得到了Chern-Finsler连接系数,分析了(α,β)-度量为Berwald、Kahler和强Kahler的纯Hermitian R-复Finsler空间的必要条件,并给出了一些例子。
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引用次数: 0
Study of Properties of Several Kinds of Hyperideals in Ordered Ternary Semihypergroups 有序三元半超群中几类超理想性质的研究
IF 0.3 Q4 Mathematics Pub Date : 2021-07-22 DOI: 10.22342/JIMS.27.2.965.228-239
T. Changphas, B. Davvaz
A non-empty subset S together with an associative function f from S × S×S into the family of all non-empty subsets of S is called a ternary semihypergroup. In this paper, we consider a semihypergroup (S, f) besides a binary relation ≤, where ≤ is a partial order relation on S such that satisfies the monotone condition. This structure is called an ordered ternary semihypergroup. We introduce and investigate the notions of bi-hyperideal and quasi-hyperideal in ordered ternary semihyperroups. In particular, we prove that an ordered ternary semihypergroup is left and right simple if and only if it does not contain proper bi-hyperideals
一个非空子集S和一个从S×。在本文中,我们考虑除了二元关系≤之外的半超群(S,f),其中≤是S上满足单调条件的偏序关系。这种结构称为有序三元半超群。我们引入并研究了有序三元半超群中的双超理想和拟超理想的概念。特别地,我们证明了一个有序三元半超群是左右单的当且仅当它不包含适当的双超理想
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引用次数: 0
On Birkhoff Angles in Normed Spaces 赋范空间中的Birkhoff角
IF 0.3 Q4 Mathematics Pub Date : 2021-07-20 DOI: 10.22342/jims.27.3.1030.270-284
H. Gunawan, Muhamad Jamaludin, Mas Daffa Pratamadirdja
Associated to Birkhoff orthogonality, we study Birkhoff angles in a normed space and present some of their basic properties. We also discuss how to decide whether an angle is more acute or more obtuse than another. In addition, given two vectors $x$ and $y$ in a normed space, we study the formula for Birkhoff `cosine' of the angle from $x$ to $y$ from which we can, in principal, compute the angle. Some examples will be presented.
结合Birkhoff正交,研究了赋范空间中的Birkhoff角,给出了它们的一些基本性质。我们还讨论了如何确定一个角是否比另一个角更锐角或更钝角。此外,给定赋范空间中的两个向量x$和y$,我们研究了从x$到y$的角的Birkhoff余弦公式,从这个公式我们基本上可以计算出这个角。下面将给出一些例子。
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引用次数: 0
Intuitionistic Fuzzy Semi δ-Preopen Sets and Intuitionistic Fuzzy Semi δ-Precontinuity 直觉模糊半δ-预开集与直觉模糊半δ-预连续
IF 0.3 Q4 Mathematics Pub Date : 2021-07-16 DOI: 10.22342/JIMS.27.2.993.212-227
S. S. Thakur, Chandra Prakash Rathor, Jyoti Pandey Bajpai
The purpose of this paper is to introduce the concepts of fuzzy semi δ-preopen sets and fuzzy semi δ-precontinuous mappings in intuitionistic fuzzy topological spaces and obtain some of their properties and characterizations.
本文的目的是在直觉模糊拓扑空间中引入模糊半δ-预pen集和模糊半Δ-预连续映射的概念,并得到它们的一些性质和刻画。
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引用次数: 1
期刊
Journal of the Indonesian Mathematical Society
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