WSEAS Transactions on Mathematics最新文献_第2页

On Quantum Codes over Non Local Rings 关于非局部环上的量子密码

WSEAS Transactions on Mathematics Pub Date : 2024-01-02 DOI: 10.37394/23206.2024.23.3

Noureddine Essaidi, A. Tadmori, Ossama El Abouti

引用次数: 0

Decomposition of Complete Multigraph into Wheel Graphs for Cyclic Triple System 将完整多图分解为循环三重系统的轮状图

WSEAS Transactions on Mathematics Pub Date : 2023-12-28 DOI: 10.37394/23206.2023.22.104

Khaled Ahmad Matarneh, Mowafaq Omar Al-Qadri, A. Al-Husban, Raja'i Aldiabat, Shameseddin Alshorm

引用次数: 0

The Cauchy Problem for the General Telegraph Equation with Variable Coefficients under the Cauchy Conditions on a Curved Line in the Plane 在平面弯曲线上的考奇条件下有可变系数的一般电报方程的考奇问题

WSEAS Transactions on Mathematics Pub Date : 2023-12-20 DOI: 10.37394/23206.2023.22.103

F. Lomovtsev, Andrey Kukharev

{"title":"The Cauchy Problem for the General Telegraph Equation with Variable Coefficients under the Cauchy Conditions on a Curved Line in the Plane","authors":"F. Lomovtsev, Andrey Kukharev","doi":"10.37394/23206.2023.22.103","DOIUrl":"https://doi.org/10.37394/23206.2023.22.103","url":null,"abstract":"The Riemann method is used to prove the global correctness theorem to Cauchy problem for a general telegraph equation with variable coefficients under Cauchy conditions on a curved line in the plane. The global correctness theorem consists of an explicit Riemann formula for a unique and stable classical solution and a Hadamard correctness criterion for this Cauchy problem. From the formulation of the Cauchy problem, the definition of its classical solutions and the established smoothness criterion of the right-hand side of the equation, its correctness criterion is derived. These results are obtained by Lomovtsev’s new implicit characteristics method which uses only two differential characteristics equations and twelve inversion identities of six implicit mappings. If the righthand side of general telegraph equation depends only on one of two independent variables, then it is necessary and sufficient that it be continuous with respect to this variable. If the right-hand side of this equation depends on two variables and is continuous, then in its integral smoothness requirements it is necessary and sufficient the continuity in one and continuous differentiability in the other variable. The correctness criterion represents the necessary and sufficient smoothness requirements of the right-hand side of the equation and the Cauchy data. From the established global correctness theorem, the well-known Riemann formulas for classical solutions and correctness criteria to Cauchy problems for the general and model telegraph equations in the upper half-plane are derived. In the works of other authors, there is no necessary (minimally sufficient) smoothness on the right-hand sides of the hyperbolic equations of real Cauchy problems for the set of classical (twice continuously differentiable) solutions.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"24 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138994271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Horocyclic Circles and Tubes around Complex Hypersurfaces in a Complex Hyperbolic Space 复杂双曲空间中围绕复杂超曲面的环形圈和环形管

WSEAS Transactions on Mathematics Pub Date : 2023-12-07 DOI: 10.37394/23206.2023.22.102

Yusei Aoki, Toshiaki Adachi

引用次数: 0

A Quadratic Model based Conjugate Gradient Optimization Method 基于二次模型的共轭梯度优化方法

WSEAS Transactions on Mathematics Pub Date : 2023-12-06 DOI: 10.37394/23206.2023.22.101

Isam H. Halil, I. Moghrabi, A. A. Fawze, Basim A. Hassan, Hisham M. Khudhur

引用次数: 0

A New Study on Tri-Lindelöf Spaces 关于三林德罗夫空间的新研究

WSEAS Transactions on Mathematics Pub Date : 2023-11-30 DOI: 10.37394/23206.2023.22.100

H. Qoqazeh, Ali A. Atoom, Ali Jaradat, Eman Almuhur, Nabeela Abu-Alkishik

引用次数: 0

Varieties of Systems of DEF Generated by Isomorphic Transformations 同构变换生成的 DEF 系统的变体

WSEAS Transactions on Mathematics Pub Date : 2023-11-29 DOI: 10.37394/23206.2023.22.99

A. Beletsky, Dmytro Poltoratskyi

{"title":"Varieties of Systems of DEF Generated by Isomorphic Transformations","authors":"A. Beletsky, Dmytro Poltoratskyi","doi":"10.37394/23206.2023.22.99","DOIUrl":"https://doi.org/10.37394/23206.2023.22.99","url":null,"abstract":"Despite more than a century of origin and development, the theory of discrete exponential function (DEF) systems continues to attract the attention of mathematicians and application specialists in various fields of science and technology. One of the most successful applications of the DEF systems is the spectral processing of discrete signals based on fast Fourier transform (FFT) algorithms in the DEF bases. The construction of structural schemes of FFT algorithms is preceded, as a rule, by the factorization of the DEF matrices. The main problem encountered when factorizing DEF matrices is that the elements of such matrices are the degrees of phase multipliers, which are complex-valued quantities. In this connection, the computational complexity of factorization of DEF matrices may be too large, especially when the number of components of the matrix order decomposition is large. In this paper, we propose a relatively simple method of mutually unambiguous transition from complex-valued DEF matrices to matrices whose elements are natural numbers equal to the degree indices of phase multipliers in the canonical DEF matrices. Through this bijective transformation, the factorization of DEF matrices becomes significantly more manageable, streamlining the overall process of factorization.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139211684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Generalized almost Contractions on Extended Quasi-Cone B-Metric Spaces 扩展准锥B度量空间上的广义几乎收缩

WSEAS Transactions on Mathematics Pub Date : 2023-11-29 DOI: 10.37394/23206.2023.22.98

Silvana Liftaj, Eriola Sila, Zamir Selko

{"title":"Generalized almost Contractions on Extended Quasi-Cone B-Metric Spaces","authors":"Silvana Liftaj, Eriola Sila, Zamir Selko","doi":"10.37394/23206.2023.22.98","DOIUrl":"https://doi.org/10.37394/23206.2023.22.98","url":null,"abstract":"Fixed Point Theory is among the most valued research topics nowadays. Over the years, it has been developed in three directions: by generalizing the metric space, by establishing new contractive conditions, and by applying its results to various fields such as Differential Equations, Integral Equations, Economics, etc. In this paper, we define a new class of cone metric spaces called the class of extended quasi-cone b-metric spaces. Extended quasi-cone b-metric spaces generalize cone metric spaces and quasi-cone b-metric spaces. We have studied topological issues, such as the right and left topologies, right (left) Cauchy, and convergent sequences. Furthermore, there are determined generalized τ-almost contractions, which extend the almost contractions. The highlight of this study is the investigation of the existence and uniqueness of a fixed point for some types of generalized τ-almost contractions in extended quasi-cone b-metric space. We prove some corollaries and theorems for known contractions in extended quasi-cone b-metric spaces. Our results generalize some known theorems given in literature due to the new cone metric spaces and contractions. Concrete examples illustrate theoretical outcomes. In addition, we show an application of the main results to Integral Equations, which provides the applicative side of them.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"112 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139210479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Introduction to Tolerance Semigraph 容差半图简介

WSEAS Transactions on Mathematics Pub Date : 2023-11-29 DOI: 10.37394/23206.2023.22.96

Abdur Rohman, Surajit Kr. Nath

引用次数: 0

The Quenching Solutions of a Singular Parabolic Equation 奇异抛物方程的淬火解

WSEAS Transactions on Mathematics Pub Date : 2023-11-29 DOI: 10.37394/23206.2023.22.97

A. Bouzelmate, Fatima Sennouni, A. Gmira

引用次数: 0