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A New Application to Coding Theory via Fibonacci and Lucas Numbers 斐波那契数与卢卡斯数在编码理论中的新应用
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/mathenot.559251
Sümeyra Uçar, N. Taş, N. Özgür
{"title":"A New Application to Coding Theory via Fibonacci and Lucas Numbers","authors":"Sümeyra Uçar, N. Taş, N. Özgür","doi":"10.36753/mathenot.559251","DOIUrl":"https://doi.org/10.36753/mathenot.559251","url":null,"abstract":"Coding/decoding algorithms are of great importance to help in improving information security since information security is a more significant problem in recent years. In this paper we introduce two new coding/decoding algorithms using Fibonacci Q-matrices and R-matrices. Our models are based on the blocked message matrices and the encryption of each message matrix with different keys. These new algorithms will not only increase the security of information but also has high correct ability.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133932358","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: 12
A New Type of Soft Covering Based Rough Sets Applied to Multicriteria Group Decision Making for Medical Diagnosis 基于软覆盖的新型粗糙集在医疗诊断多准则群决策中的应用
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/mathenot.559242
Z. Ergul, S. Yuksel
{"title":"A New Type of Soft Covering Based Rough Sets Applied to Multicriteria Group Decision Making for Medical Diagnosis","authors":"Z. Ergul, S. Yuksel","doi":"10.36753/mathenot.559242","DOIUrl":"https://doi.org/10.36753/mathenot.559242","url":null,"abstract":"In this work we define a new type of soft covering upper approximation operator and study its basic and topological properties. Comparing with other type of soft covering operation, our soft covering upper approximation is more accurate and have more properties. Based on the new type of soft covering upper approximation operator, we give a new kind of soft covering based rough sets. Also we present an example in medicine which determines the risk of prostate cancer. Our aim is to gain results more reasonable by using upper and lower approximations of a new kind of soft covering based rough sets and to help the doctor to determine that the patient needs biopsy or not.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125199464","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: 3
Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application 2锥Banach空间上满足隐关系的公共不动点定理及其应用
Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI: 10.36753/MATHENOT.559237
D. Dhamodharan, N. Taş, R. Krishnakumar
{"title":"Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application","authors":"D. Dhamodharan, N. Taş, R. Krishnakumar","doi":"10.36753/MATHENOT.559237","DOIUrl":"https://doi.org/10.36753/MATHENOT.559237","url":null,"abstract":"In this paper, we discuss the existence and uniqueness of common fixed-point theorems satisfying implicit relations on 2-cone Banach spaces. Modifying obtained new contractive conditions, we also give an application to the fixed-circle problem.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130128890","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: 4
Tychonoff Objects in the Topological Category of Cauchy Spaces 柯西空间拓扑范畴中的Tychonoff对象
Mathematical Sciences and Applications E-Notes Pub Date : 2018-10-31 DOI: 10.36753/MATHENOT.476787
Muammer Kula, Sumeyye Kula
{"title":"Tychonoff Objects in the Topological Category of Cauchy Spaces","authors":"Muammer Kula, Sumeyye Kula","doi":"10.36753/MATHENOT.476787","DOIUrl":"https://doi.org/10.36753/MATHENOT.476787","url":null,"abstract":"There are various forms of Tychonoff objects for an arbitrary set-based topological category. In this paper, any explicit characterization of each of the Tychonoff Objects is given in the topological category of Cauchy spaces. Moreover, we characterize each of them for the category of Cauchy spaces and investigate the relationships among the various Ti, i = 0, 1, 2, 3, 4, PreT2, and T2 (we will refer to it as the usual one) structures are examined in this category.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130840789","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
Some Fixed Point Results on Complex Valued Sb-Metric Spaces 复值sb -度量空间上的不动点结果
Mathematical Sciences and Applications E-Notes Pub Date : 2018-10-31 DOI: 10.36753/mathenot.476779
N. Taş, N. Özgür, Nabil Mlaiki
{"title":"Some Fixed Point Results on Complex Valued Sb-Metric Spaces","authors":"N. Taş, N. Özgür, Nabil Mlaiki","doi":"10.36753/mathenot.476779","DOIUrl":"https://doi.org/10.36753/mathenot.476779","url":null,"abstract":"More recently, the notion of a complex valued Sb-metric space has been introduced and studied. In this paper, we investigate some basic properties of this new space. We study some fixed point results on a complete complex valued Sb-metric space. A common fixed point theorem for two self-mappings on a complete complex valued Sb-metric space is also given.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134397411","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: 3
Two-Point Iterative Methods for Solving Quadratic Equations and its Applications 二次方程的两点迭代解法及其应用
Mathematical Sciences and Applications E-Notes Pub Date : 2018-10-31 DOI: 10.36753/MATHENOT.476799
K. Madhu
{"title":"Two-Point Iterative Methods for Solving Quadratic Equations and its Applications","authors":"K. Madhu","doi":"10.36753/MATHENOT.476799","DOIUrl":"https://doi.org/10.36753/MATHENOT.476799","url":null,"abstract":"Kung-Traub conjecture states that an iterative method without memory for locating the zero of a scalar equation could achieve convergence order 2d−1, where d is the total number of function evaluations, but proposed algorithm produces convergence order of r+2, where r is a positive integer with three function evaluations for solving quadratic equations, which is better than expected maximum convergence order. Therefore, we show that the conjecture fails for quadratic equations. Also, we extend proposed algorithm to solving systems which involving quadratic equations. We test our methods with some numerical experiments including application to one dimensional and two dimensional Bratu problems.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122388774","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: 1
Some Approximation Properties of Series with Nonlinear Fourier Basis 非线性傅里叶基级数的若干近似性质
Mathematical Sciences and Applications E-Notes Pub Date : 2018-10-31 DOI: 10.36753/mathenot.476784
H. Aslan, A. Guven
{"title":"Some Approximation Properties of Series with Nonlinear Fourier Basis","authors":"H. Aslan, A. Guven","doi":"10.36753/mathenot.476784","DOIUrl":"https://doi.org/10.36753/mathenot.476784","url":null,"abstract":"The order of approximation of generalized de la Vallee Poussin means of series with nonlinear Fourier basis was investigated in uniform and Holder norms.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125596126","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: 2
A General Formula for Determinants and Inverses of r-circulant Matrices with Third Order Recurrences 具有三阶递归的r-循环矩阵的行列式和逆的一般公式
Mathematical Sciences and Applications E-Notes Pub Date : 2016-09-23 DOI: 10.36753/mathenot.559232
Emrullah Kirklar, Fatih Yılmaz
{"title":"A General Formula for Determinants and Inverses of r-circulant Matrices with Third Order Recurrences","authors":"Emrullah Kirklar, Fatih Yılmaz","doi":"10.36753/mathenot.559232","DOIUrl":"https://doi.org/10.36753/mathenot.559232","url":null,"abstract":"This note provides formula for determinant and inverse of r-circulant matrices with general sequences of third order. In other words, the study combines many papers in the literature.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126372408","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: 3
An Application of Path Analysis in Gaugeing Stimulated Travel Demand 路径分析在刺激出行需求评估中的应用
Mathematical Sciences and Applications E-Notes Pub Date : 1900-01-01 DOI: 10.36753/mathenot.988711
E. İnce, I. Demir, M. Celik
{"title":"An Application of Path Analysis in Gaugeing Stimulated Travel Demand","authors":"E. İnce, I. Demir, M. Celik","doi":"10.36753/mathenot.988711","DOIUrl":"https://doi.org/10.36753/mathenot.988711","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124744929","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
A Finite Difference Approximation for Numerical Simulation of 2D Viscous Coupled Burgers Equations 二维粘性耦合Burgers方程数值模拟的有限差分近似
Mathematical Sciences and Applications E-Notes Pub Date : 1900-01-01 DOI: 10.36753/mathenot.981131
Murat Yağmurlu, Abdulnasır Gagi̇r
{"title":"A Finite Difference Approximation for Numerical Simulation of 2D Viscous Coupled Burgers Equations","authors":"Murat Yağmurlu, Abdulnasır Gagi̇r","doi":"10.36753/mathenot.981131","DOIUrl":"https://doi.org/10.36753/mathenot.981131","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123209248","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: 1
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