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Efficient Approaches to Solving Quadratic Diophantine Equations and their Time Complexity 求解二次二叉方程的高效方法及其时间复杂性
Journal of Nepal Mathematical Society Pub Date : 2024-02-26 DOI: 10.3126/jnms.v6i2.63005
Bal Bahadur Tamang, Ajaya Singh
{"title":"Efficient Approaches to Solving Quadratic Diophantine Equations and their Time Complexity","authors":"Bal Bahadur Tamang, Ajaya Singh","doi":"10.3126/jnms.v6i2.63005","DOIUrl":"https://doi.org/10.3126/jnms.v6i2.63005","url":null,"abstract":"In this paper, we present an efficient approach to solving quadratic Diophantine equations and analyze their time complexity. We propose a deterministic polynomial-time algorithm that provides an upper bound on the elementary operations required to solve such equations. We also present a non-deterministic polynomial-time algorithm for the construction of quadratic non-resiude modulo d, which is a more efficient alternative to the deterministic approach.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"185 S498","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140428600","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 Solution of Fourth-order Initial Value Problems Using Novel Fourth-order Block Algorithm 使用新型四阶块算法数值求解四阶初值问题
Journal of Nepal Mathematical Society Pub Date : 2024-02-26 DOI: 10.3126/jnms.v6i2.63016
B. Akinnukawe, J. Kuboye, S. A. Okunuga
{"title":"Numerical Solution of Fourth-order Initial Value Problems Using Novel Fourth-order Block Algorithm","authors":"B. Akinnukawe, J. Kuboye, S. A. Okunuga","doi":"10.3126/jnms.v6i2.63016","DOIUrl":"https://doi.org/10.3126/jnms.v6i2.63016","url":null,"abstract":"In this paper, a one-step fourth-order block scheme for solving fourth order Initial Value Problems (IVPs) of Ordinary Differential Equations (ODE) is developed using interpolation and collocation techniques. The derived schemes contain two hybrid points which are chosen such that 0 < w1 < w2 < 1 where w1 and w2 are defined as hybrid points. The characteristics of the developed schemes are analyzed. The obtained schemes are applied in block form to solve some fourth-order IVPs and the numerical results show the accuracy and effectiveness of the block scheme compared with some existing methods.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"66 S20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140429667","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 Comprehensive Study of Fractional-Order Derivative and Their Interplay with Basic Functions 分阶导数及其与基本函数相互作用的综合研究
Journal of Nepal Mathematical Society Pub Date : 2024-02-26 DOI: 10.3126/jnms.v6i2.63023
H. Pandey, G. R. Phaijoo, Dil Bahadur Gurung
{"title":"A Comprehensive Study of Fractional-Order Derivative and Their Interplay with Basic Functions","authors":"H. Pandey, G. R. Phaijoo, Dil Bahadur Gurung","doi":"10.3126/jnms.v6i2.63023","DOIUrl":"https://doi.org/10.3126/jnms.v6i2.63023","url":null,"abstract":"Fractional calculus from the nineteenth century to date has gained considerable attention due to its versatile applications in various scientific and engineering domains. This work examines the complex relationship between fractional-order derivative and basic functions, unraveling the profound interplay between mathematics and simulation. In this study, we illustrate the Mittag-Leffler function, Grunwald-Letnikov’s, Riemann-Liouville’s, and Caputo’s fractional derivative and integral are presented with examples of basic functions and their graphical presentations. The purpose of this study is to examine the features of fractional derivatives from the perspective of researchers’ motivations and interests.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"23 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140429865","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 I-Convergence Difference Sequence Spaces Defined by Orlicz Function in 2−Normed Space 论2规范空间中奥利奇函数定义的I-收敛差序列空间
Journal of Nepal Mathematical Society Pub Date : 2024-02-26 DOI: 10.3126/jnms.v6i2.63029
J. L. Ghimire, Gobinda Adhikari, N. Pahari
{"title":"On I-Convergence Difference Sequence Spaces Defined by Orlicz Function in 2−Normed Space","authors":"J. L. Ghimire, Gobinda Adhikari, N. Pahari","doi":"10.3126/jnms.v6i2.63029","DOIUrl":"https://doi.org/10.3126/jnms.v6i2.63029","url":null,"abstract":"The difference sequence spaces of type I-convergent, I-null, bounded I-convergent, and bounded I-null in 2−normed space are introduced and studied using the Orlicz function. Investigations into the pertinent characteristics of these spaces led us to the establishment of some inclusion relations.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"12 24","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140430386","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 Topological Structure of Total Paranormed Double Sequence Space (ℓ 2 ((X, ||.||), γ, ¯ w¯), G) 论全解析双序列空间 (ℓ 2 ((X, ||.||), γ, ¯ w¯), G) 的拓扑结构
Journal of Nepal Mathematical Society Pub Date : 2024-02-26 DOI: 10.3126/jnms.v6i2.63026
Jagat Krishna Pokharel, N. Pahari, G. Paudel
{"title":"On Topological Structure of Total Paranormed Double Sequence Space (ℓ 2 ((X, ||.||), γ, ¯ w¯), G)","authors":"Jagat Krishna Pokharel, N. Pahari, G. Paudel","doi":"10.3126/jnms.v6i2.63026","DOIUrl":"https://doi.org/10.3126/jnms.v6i2.63026","url":null,"abstract":"The aim of this paper is to introduce and study a new class ℓ2 ((X, ||.||), γ̅, ω̅ ) of double sequences with their terms in a normed space X as a generalization of the familiar sequence space ℓ. Besides the investigation of the condition pertaining to the containment relations of the class ℓ2 ((X, ||.||), γ̅, ω̅ ) of same kind in terms of γ̅ and ω̅, our primary interest is to explore some of the preliminary results that characterize the linear topological structures of ℓ2 ((X, ||.||), γ̅, ω̅ ) when topologized it with suitable natural paranorm.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"151 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140428568","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
Blow up at Infinite Time of Solutions for a Plate Equation with Delay Term 带延迟项的板方程在无限时间内的爆炸解
Journal of Nepal Mathematical Society Pub Date : 2024-02-26 DOI: 10.3126/jnms.v6i2.63018
E. Pişkin, Hazal Yüksekkaya
{"title":"Blow up at Infinite Time of Solutions for a Plate Equation with Delay Term","authors":"E. Pişkin, Hazal Yüksekkaya","doi":"10.3126/jnms.v6i2.63018","DOIUrl":"https://doi.org/10.3126/jnms.v6i2.63018","url":null,"abstract":"In this article, we investigate the viscoelastic plate equation with both delay and source terms. Initially, we give the local-global existence results. Later, we establish the blow-up results at infinite time by utilizing the energy method when E (0) < 0 under suitable conditions. Delays effect generally seems in many practical problems for instance medicine, biological, chemical, physical, thermal, economic phenomena, electrical engineering systems and mechanical applications.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140431088","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
Mathematical Study of Effect of Temperature on Transmission Dynamics of Dengue Disease 温度对登革热传播动力学影响的数学研究
Journal of Nepal Mathematical Society Pub Date : 2023-08-22 DOI: 10.3126/jnms.v6i1.57476
J. Kafle, Prakash Bayalkoti, G. R. Phaijoo
{"title":"Mathematical Study of Effect of Temperature on Transmission Dynamics of Dengue Disease","authors":"J. Kafle, Prakash Bayalkoti, G. R. Phaijoo","doi":"10.3126/jnms.v6i1.57476","DOIUrl":"https://doi.org/10.3126/jnms.v6i1.57476","url":null,"abstract":"Dengue fever is found in tropical and subtropical regions around the world. It is a vector-borne disease that is transmitted by female aedes mosquitoes infected with one of four dengue viruses (DENV1- DENV4). SEIR compartmental model is used to examine the transmission of the disease in the present work. The model has four compartments for the human population, susceptible, exposed, infected, and recovered and also four compartments for the mosquito population immature, susceptible, exposed, and infected. The impact of temperature on the dynamics of dengue disease transmission is described by this model. The basic reproduction number of the model is computed by implementing the Next Generation Matrix Method. Sensitivity analysis is performed to establish the relative importance of the model parameters and mathematical results are shown graphically.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121473015","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
Dynamics of Almost Abelian Transcendental Semigroups 概阿贝尔超越半群的动力学
Journal of Nepal Mathematical Society Pub Date : 2023-08-22 DOI: 10.3126/jnms.v6i1.57415
Bishnu H Subedi
{"title":"Dynamics of Almost Abelian Transcendental Semigroups","authors":"Bishnu H Subedi","doi":"10.3126/jnms.v6i1.57415","DOIUrl":"https://doi.org/10.3126/jnms.v6i1.57415","url":null,"abstract":"In this article, we show that the escaping, Julia, and Fatou sets of an almost abelian transcendental semigroup of finite type coincide with escaping, Julia and Fatou sets of their respective cyclic subsemigroups","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129288952","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 Insight in the Beauty of the Fibonacci 斐波那契数列之美
Journal of Nepal Mathematical Society Pub Date : 2023-08-22 DOI: 10.3126/jnms.v6i1.57655
I. Adhikari, Parameshwari Kattel
{"title":"An Insight in the Beauty of the Fibonacci","authors":"I. Adhikari, Parameshwari Kattel","doi":"10.3126/jnms.v6i1.57655","DOIUrl":"https://doi.org/10.3126/jnms.v6i1.57655","url":null,"abstract":"Mathematics and architecture have strong logical interconnections. Ratios are good examples of their interconnectivity. Without mathematics, it is hard to believe the existence of science and arts. It is not an exaggeration to say that mathematics is everywhere. Nature is beautiful due to the proper ratios of various components in them and in relation to others. The Fibonacci sequence is one of nature’s numbering systems. It is abundant in nature. It has a close relationship with the golden ratio. Golden ratios and such Fibonacci numbers are found to be used in designing logos, magazine covers, plastic surgery, to name a few. These two are two fascinating topics for mathematicians, artists, natural scientists, and philosophers. This work presents a panoramic view of the Fibonacci numbers, and the Fibonacci sequences; their mathematical presentations, patterns, properties, and beauty.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129479868","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 Fundamental Research Tools in Mathematical Sciences 数学科学的一些基本研究工具
Journal of Nepal Mathematical Society Pub Date : 2023-08-22 DOI: 10.3126/jnms.v6i1.57434
S. Khadka, Santosh Ghimire, Durga Jang K.c.
{"title":"Some Fundamental Research Tools in Mathematical Sciences","authors":"S. Khadka, Santosh Ghimire, Durga Jang K.c.","doi":"10.3126/jnms.v6i1.57434","DOIUrl":"https://doi.org/10.3126/jnms.v6i1.57434","url":null,"abstract":"Research in mathematical sciences either builds up the insight or breaks the boundary of the literature of the pertaining mathematical research area. A mathematical research technique is an attentive, persistent and systematic approach based on the logical rules of inference and mathematical rules of inference to find something new. Mathematical modeling, construction of theorems with the proofs, design of algorithms, data with simulation could be considered as the fundamental tools in mathematical research. In this paper, we discuss some fundamental research tools which are useful to do research in mathematical sciences.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114808197","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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