AIMS Mathematics最新文献_第8页

The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring 非酉交换环上自正交码和自对偶码的质量公式

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231242

A. Alahmadi, A. Alshuhail, P. Solé

引用次数: 0

Unbalanced signed graphs with eigenvalue properties 具有特征值性质的不平衡符号图

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231262

Rashad Ismail, S. Hameed, Uzma Ahmad, Khadija Majeed, M. Javaid

{"title":"Unbalanced signed graphs with eigenvalue properties","authors":"Rashad Ismail, S. Hameed, Uzma Ahmad, Khadija Majeed, M. Javaid","doi":"10.3934/math.20231262","DOIUrl":"https://doi.org/10.3934/math.20231262","url":null,"abstract":"For a signature function $ Psi:E({H}) longrightarrow {pm 1} $ with underlying graph $ H $, a signed graph (S.G) $ hat{H} = (H, Psi) $ is a graph in which edges are assigned the signs using the signature function $ Psi $. An S.G $ hat{H} $ is said to fulfill the symmetric eigenvalue property if for every eigenvalue $ hat{h}(hat{H}) $ of $ hat{H} $, $ -hat{h}(hat{H}) $ is also an eigenvalue of $ hat{H} $. A non singular S.G $ hat{H} $ is said to fulfill the property $ (mathcal{SR}) $ if for every eigenvalue $ hat{h}(hat{H}) $ of $ hat{H} $, its reciprocal is also an eigenvalue of $ hat{H} $ (with multiplicity as that of $ hat{h}(hat{H}) $). A non singular S.G $ hat{H} $ is said to fulfill the property $ (-mathcal{SR}) $ if for every eigenvalue $ hat{h}(hat{H}) $ of $ hat{H} $, its negative reciprocal is also an eigenvalue of $ hat{H} $ (with multiplicity as that of $ hat{h}(hat{H}) $). In this article, non bipartite unbalanced S.Gs $ hat{mathfrak{C}}^{(m, 1)}_{3} $ and $ hat{mathfrak{C}}^{(m, 2)}_{5} $, where $ m $ is even positive integer have been constructed and it has been shown that these graphs fulfill the symmetric eigenvalue property, the S.Gs $ hat{mathfrak{C}}^{(m, 1)}_{3} $ also fulfill the properties $ (-mathcal{SR}) $ and $ (mathcal{SR}) $, whereas the S.Gs $ hat{mathfrak{C}}^{(m, 2)}_{5} $ are close to fulfill the properties $ (-mathcal{SR}) $ and $ (mathcal{SR}) $.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The $ g $-extra $ H $-structure connectivity and $ g $-extra $ H $-substructure connectivity of hypercubes 超立方体的$ g $-extra $ H $-结构连通性和$ g $-extra $ H $-子结构连通性

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231267

Bo Zhu, Shumin Zhang, Huifen Ge, Chengfu Ye

引用次数: 0

Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models 二元q扩展Weibull morgenstern族及其部分子模型的相关系数公式

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231292

R. A. Attwa, T. Radwan, E. O. A. Zaid

引用次数: 0

Maps on $ C^ast $-algebras are skew Lie triple derivations or homomorphisms at one point C^ast $-代数上的映射是一点上的斜李三重导数或同态

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231305

Zhonghua Wang, Xiuhai Fei

引用次数: 0

Direct connection between Navier and spherical harmonic kernels in elasticity 弹性力学中Navier和球谐核的直接联系

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023158

D. Labropoulou, P. Vafeas, G. Dassios

{"title":"Direct connection between Navier and spherical harmonic kernels in elasticity","authors":"D. Labropoulou, P. Vafeas, G. Dassios","doi":"10.3934/math.2023158","DOIUrl":"https://doi.org/10.3934/math.2023158","url":null,"abstract":"Linear isotropic elasticity is an interesting branch of continuum mechanics, described by the fundamental laws of Hooke and Newton, which are combined in order to construct the governing generalized Navier equation of the displacement within any material. Implying time-independence and in the absence of external body forces, the latter is reduced to the corresponding form of a homogeneous second-order partial differential equation, whose solution is given via the Papkovich differential representation, which expresses the displacement field in terms of harmonic functions. On the other hand, spherical geometry provides the most widely used framework in real-life applications, concerning interior and exterior problems in elasticity. The present work aims to provide a little progress, by producing ready-to-use basic functions for linear isotropic elasticity in spherical coordinates. Hence, we calculate the Papkovich eigensolutions, generated by the spherical harmonic eigenfunctions, obtaining connections between Navier and spherical harmonic kernels. A set of useful results are provided at the end of the paper in the form of examples, regarding the evaluation of displacement field inside and outside a sphere.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70171122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Disaster decision-making with a mixing regret philosophy DDAS method in Fermatean fuzzy number fermatan模糊数中混合后悔哲学DDAS方法的灾难决策

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023192

A. Fahmi, Rehan Ahmed, M. Aslam, T. Abdeljawad, Aziz Khan

{"title":"Disaster decision-making with a mixing regret philosophy DDAS method in Fermatean fuzzy number","authors":"A. Fahmi, Rehan Ahmed, M. Aslam, T. Abdeljawad, Aziz Khan","doi":"10.3934/math.2023192","DOIUrl":"https://doi.org/10.3934/math.2023192","url":null,"abstract":"In this paper, the use of the Fermatean fuzzy number (FFN) in a significant research problem of disaster decision-making by defining operational laws and score function is demonstrated. Generally, decision control authorities need to brand suitable and sensible disaster decisions in the direct conceivable period as unfitting decisions may consequence in enormous financial dead and thoughtful communal costs. To certify that a disaster comeback can be made, professionally, we propose a new disaster decision-making (DDM) technique by the Fermatean fuzzy Schweizer-Sklar environment. First, the Fermatean fuzzy Schweizer-Sklar operators are employed by decision-makers to rapidly analyze their indefinite and vague assessment information on disaster choices. Then, the DDM technique based on the FFN is planned to identify highly devastating disaster choices and the best available choices. Finally, the proposed regret philosophy DDM technique is shown functional to choose the ideal retort explanation for a communal fitness disaster in Pakistan. The dominance and realism of the intended technique are further defensible through a relative study with additional DDM systems.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70171984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Simulation analysis, properties and applications on a new Burr XII model based on the Bell-X functionalities 基于Bell-X功能的新型Burr XII模型的仿真分析、性能及应用

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023352

A. Alanzi, Muhammad Imran, Muhammad Mohsin Tahir, C. Chesneau, Farrukh Jamal, Saima Shakoor, Waqas Sami

{"title":"Simulation analysis, properties and applications on a new Burr XII model based on the Bell-X functionalities","authors":"A. Alanzi, Muhammad Imran, Muhammad Mohsin Tahir, C. Chesneau, Farrukh Jamal, Saima Shakoor, Waqas Sami","doi":"10.3934/math.2023352","DOIUrl":"https://doi.org/10.3934/math.2023352","url":null,"abstract":"In this article, we make mathematical and practical contributions to the Bell-X family of absolutely continuous distributions. As a main member of this family, a special distribution extending the modeling perspectives of the famous Burr XII (BXII) distribution is discussed in detail. It is called the Bell-Burr XII (BBXII) distribution. It stands apart from the other extended BXII distributions because of its flexibility in terms of functional shapes. On the theoretical side, a linear representation of the probability density function and the ordinary and incomplete moments are among the key properties studied in depth. Some commonly used entropy measures, namely Rényi, Havrda and Charvat, Arimoto, and Tsallis entropy, are derived. On the practical (inferential) side, the associated parameters are estimated using seven different frequentist estimation methods, namely the methods of maximum likelihood estimation, percentile estimation, least squares estimation, weighted least squares estimation, Cramér von-Mises estimation, Anderson-Darling estimation, and right-tail Anderson-Darling estimation. A simulation study utilizing all these methods is offered to highlight their effectiveness. Subsequently, the BBXII model is successfully used in comparisons with other comparable models to analyze data on patients with acute bone cancer and arthritis pain. A group acceptance sampling plan for truncated life tests is also proposed when an item's lifetime follows a BBXII distribution. Convincing results are obtained.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70179632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Some new criteria for judging $ mathcal{H} $-tensors and their applications $ mathcal{H} $-张量的几个新判据及其应用

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023381

Wenbin Gong, Yaqiang Wang

引用次数: 0

Existence and compatibility of positive solutions for boundary value fractional differential equation with modified analytic kernel 修正解析核边值分数阶微分方程正解的存在性与相容性

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023390

A. Kalsoom, Sehar Afsheen, A. Azam, Faryad Ali

引用次数: 0