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Annals of Pure and Applied Mathematics最新文献

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Comparison of the Methods of Image Slicing After Initial Image Processing Using the Statistical Confidence Limits Technique 基于统计置信限技术的初始图像处理后图像切片方法的比较
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v24n1a06838
A. M. Eesa, H. Talib
{"title":"Comparison of the Methods of Image Slicing After Initial Image Processing Using the Statistical Confidence Limits Technique","authors":"A. M. Eesa, H. Talib","doi":"10.22457/apam.v24n1a06838","DOIUrl":"https://doi.org/10.22457/apam.v24n1a06838","url":null,"abstract":"The use of image segmentation in image processing is of great importance in analyzing and extracting information from images, and one of the most important segmentation techniques is the threshold technique, which is considered one of the simplest techniques of image division in image processing. The statistical methods play an important role in the process of image segmentation. Statistical confidence in image processing, preliminary processing, as it removed noise from the images, and here the obscure noise was used. After that, the resulting images were cut, the initial processing process with the global Otsu threshold technology and a group of local techniques, namely Niblack, sauvola and local Bernsen, and the split image quality was measured by statistic measures namely Jaccard Similarity Coefficient and Maximum Signal to Noise Ratio (PSNR). as was the application of the methods mentioned on the images and the comparison between the methods of treatment in order to obtain the best results that appear in the image in which it appears and reduce noise.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"14 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":"116835489","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
Numerical Approximation of Surface Integrals Using Mixed Cubature Adaptive Scheme 基于混合文化自适应格式的曲面积分数值逼近
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v22n1a05678
Pritikanta Patra, Debasish Das, R. B. Dash
{"title":"Numerical Approximation of Surface Integrals Using Mixed Cubature Adaptive Scheme","authors":"Pritikanta Patra, Debasish Das, R. B. Dash","doi":"10.22457/apam.v22n1a05678","DOIUrl":"https://doi.org/10.22457/apam.v22n1a05678","url":null,"abstract":"This research described the development of a new mixed cubature rule for evaluation of surface integrals over rectangular domains. Taking the linear combination of Clenshaw-Curtis 5- point rule and Gauss-Legendre 3-point rule ( each rule is of same precision i.e. precision 5) in two dimensions the mixed cubature rule of higher precision was formed (i.e. precision 7). This method is iterative in nature and relies on the function values at uneven spaced points on the rectangle of integration. Also as supplement, an adaptive cubature algorithm is designed in order to reinforce our mixed cubature rule. With the illustration of numerical examples this mixed cubature rule is turned out to be more powerful when compared with the constituents standard cubature procedures both in adaptive and non-adaptive environment.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"5 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":"129743263","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
Split Feasibility Problem and Fixed Point Problem for Asymptotically Strictly Pseudo Nonspreading Mapping 渐近严格伪非扩展映射的分裂可行性问题和不动点问题
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n1a07873
Hemlata Bhar, Apurva Kumar Das
{"title":"Split Feasibility Problem and Fixed Point Problem for Asymptotically Strictly Pseudo Nonspreading Mapping","authors":"Hemlata Bhar, Apurva Kumar Das","doi":"10.22457/apam.v26n1a07873","DOIUrl":"https://doi.org/10.22457/apam.v26n1a07873","url":null,"abstract":"The purpose of this paper is to introduce an iterative algorithm for finding a common element of the solution set of split feasibility problem and the fixed point set of a asymptotically strictly pseudo nonspreading mapping in the Hilbert Space.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"70 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":"127304726","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
On the Diophantine Equation 7x-2y=z2 where x, y and z are Non-Negative Integers 关于丢芬图方程7x-2y=z2，其中x, y, z为非负整数
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v25n2a01862
S. Thongnak, W. Chuayjan, Theeradach Kaewon
{"title":"On the Diophantine Equation 7x-2y=z2 where x, y and z are Non-Negative Integers","authors":"S. Thongnak, W. Chuayjan, Theeradach Kaewon","doi":"10.22457/apam.v25n2a01862","DOIUrl":"https://doi.org/10.22457/apam.v25n2a01862","url":null,"abstract":"In this article, we prove all solutions of the exponential Diophantine equation 2 7 2 x y − = z where x y, and z are non-negative integers. The mathematical principles are applied to obtain the solutions such as factoring method modular arithmetic method and Catalan’s conjecture. The result reveals that there is only a trivial solution to the equation.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"60 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":"126565075","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
δ-Sombor Index and its Exponential for Certain Nanotubes 某些纳米管的δ-Sombor指数及其指数
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v23n1a06812
V. Kulli
{"title":"δ-Sombor Index and its Exponential for Certain Nanotubes","authors":"V. Kulli","doi":"10.22457/apam.v23n1a06812","DOIUrl":"https://doi.org/10.22457/apam.v23n1a06812","url":null,"abstract":"Gutman considered a class of novel topological invariants of which the Sombor index was introduced. In this study, we introduce the δ-Sombor index, δ-Sombor exponential of a molecular graph. Furthermore we compute the δ-Sombor index and its corresponding exponential for certain nanotubes.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"35 4 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":"121126223","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: 7
Certain Notions of Intuitionistic Fuzzy Graphs 直觉模糊图的某些概念
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v24n1a02834
Zahra Sadri Irani, H. Rashmanlou
{"title":"Certain Notions of Intuitionistic Fuzzy Graphs","authors":"Zahra Sadri Irani, H. Rashmanlou","doi":"10.22457/apam.v24n1a02834","DOIUrl":"https://doi.org/10.22457/apam.v24n1a02834","url":null,"abstract":"Fuzzy graph models enjoy the ubiquity of being in natural and human-made structures, namely dynamic process in physical, biological and social systems. As a result of inconsistent and indeterminate information inherent in real-life problems which are often uncertain, it is highly difficult for an expert to model those problems based on a fuzzy graph. Intuitionistic fuzzy graph (IFG) can deal with the uncertainty associated with the inconsistent and indeterminate information of any real-world problem, where fuzzy graphs may fail to reveal satisfactory results. Likewise, IFG has an important role in neural networks, computer network, and clustering. In the design of a network, it is important to analyze connections by the levels. In this paper, we describe d-regular, td-regular, m-highly irregular and m-highly totally irregular IFGs and prove the necessary and sufficient conditions which under this conditions the d-regular and td-regular IFGs are equivalent. Also, a comparative study between m-highly irregular IFG and m-highly totally irregular IFG are given.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"42 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":"125164852","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
The Diophantine Equations 2x + 11y = z 2 and 19x + 29y = z 2 are Insolvable in Positive Integers x, y, z 丢芬图方程2x + 11y = z2和19x + 29y = z2在正整数x, y, z中是不可解的
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v22n2a07799
N. Burshtein
{"title":"The Diophantine Equations 2x + 11y = z 2 and 19x + 29y = z 2 are Insolvable in Positive Integers x, y, z","authors":"N. Burshtein","doi":"10.22457/apam.v22n2a07799","DOIUrl":"https://doi.org/10.22457/apam.v22n2a07799","url":null,"abstract":"In this article, the author has investigated the equations 2x + 11y = z 2 and 19x + 29y = z 2 with positive integers x, y, z. It was established that both equations have no solutions.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"11 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":"131578232","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
An Integral Involving a Generalized Hypergeometric Function 一个涉及广义超几何函数的积分
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v25n2a05860
Naresh Dudi, U. Abubakar
{"title":"An Integral Involving a Generalized Hypergeometric Function","authors":"Naresh Dudi, U. Abubakar","doi":"10.22457/apam.v25n2a05860","DOIUrl":"https://doi.org/10.22457/apam.v25n2a05860","url":null,"abstract":"In 1961, MacRobert in his very popular, useful and interesting research paper obtained a new type of finite integrals and used the integrals to evaluate integral involving E-functions which he had developed and is a generalization of hypergeometric and generalized hypergeometric functions. The main objective of this short research paper is to find an exciting integral associated with a generalized hypergeometric function by using the integrals obtained by MacRobert. The beauty of our results is that they appear on the product of the ratios of gamma functions. It is clear that the integral associated with gamma functions, the results are very useful from the perspective of the point of view of applications. In terms of parameters, one can easily derive the known integrals due to Rathie and the integral given in Mathai and Saxena's book. It is no exaggeration to mention here that, for other integrals, the transformation and summation formulas involve generalized hypergeometric function.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"152 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":"116496309","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
On the Diophantine Equation px+(p+14)y=z2 where p,p+14 are Primes Suton Tadee 丢番图方程px+(p+14)y=z2，其中p,p+14是素数
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n2a09893
S. Tadee
{"title":"On the Diophantine Equation px+(p+14)y=z2 where p,p+14 are Primes Suton Tadee","authors":"S. Tadee","doi":"10.22457/apam.v26n2a09893","DOIUrl":"https://doi.org/10.22457/apam.v26n2a09893","url":null,"abstract":"In this paper, the Diophantine equation p x + (p+ 14)y =, where p p+14 are primes and x y z , , are non-negative integers, is investigated. Some conditions for nonexistence of the solutions of this equation are presented.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"202 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":"115173396","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
On the Exponential Diophantine Equation ( ) ( ) x y p p z + + + = 2 2 5 6 when p p, + 2 and 5 6 p+ are Primes 关于指数丢番图方程()()x y p p z + + = 2 2 5 6当p p， + 2和5 6 p+是素数
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v23n2a08827
S. Thongnak, T. Kaewong, W. Chuayjan
{"title":"On the Exponential Diophantine Equation ( ) ( ) x y p p z + + + = 2 2 5 6 when p p, + 2 and 5 6 p+ are Primes","authors":"S. Thongnak, T. Kaewong, W. Chuayjan","doi":"10.22457/apam.v23n2a08827","DOIUrl":"https://doi.org/10.22457/apam.v23n2a08827","url":null,"abstract":"In this work, we prove that the exponential Diophantine equation ( ) ( ) 2 2 5 6 x y p p z + + + = has no solution when p p, 2 + and 5 6 p + are primes, and x y z , , are non-negative integers.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"200 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":"133966633","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
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