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Dynamic Contraflow with Orientation Dependent Transit Times Allowing Intermediate Storage 允许中间存储的与方向相关的传输时间的动态对流
The Nepali Mathematical Sciences Report Pub Date : 2021-12-31 DOI: 10.3126/nmsr.v38i2.42700
D. Khanal, Urmila Pyakurel, S. Dempe
{"title":"Dynamic Contraflow with Orientation Dependent Transit Times Allowing Intermediate Storage","authors":"D. Khanal, Urmila Pyakurel, S. Dempe","doi":"10.3126/nmsr.v38i2.42700","DOIUrl":"https://doi.org/10.3126/nmsr.v38i2.42700","url":null,"abstract":"Contraflow is one of the best and widely accepted techniques in evacuation planning problems, where the reversal of arcs is made to increase the amount and decrease the time of ow transmission. At the time of evacuation, if the flow value leaving the source node exceeds the bottleneck capacity of the network, then the storage of excess flow at comparatively safer intermediate nodes can be a milestone to save the life of evacuees. In this paper, we introduce the maximum dynamic contraflow problem in a general network and earliest arrival contraflow problem in two-terminal series-parallel network with asymmetric transit times on anti-parallel arcs. We present polynomial time solution strategies with orientation dependent transit times by allowing the storage of flow at intermediate nodes.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"48 58","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114058288","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
Mathematical Study of Two-Dimensional Temperature Variation in Tumor Embedded Breast Tissue 乳腺肿瘤浸润组织二维温度变化的数学研究
The Nepali Mathematical Sciences Report Pub Date : 2021-06-30 DOI: 10.3126/nmsr.v38i1.38894
S. Shrestha, Gokul Kc, D. B. Gurung
{"title":"Mathematical Study of Two-Dimensional Temperature Variation in Tumor Embedded Breast Tissue","authors":"S. Shrestha, Gokul Kc, D. B. Gurung","doi":"10.3126/nmsr.v38i1.38894","DOIUrl":"https://doi.org/10.3126/nmsr.v38i1.38894","url":null,"abstract":"The human body is made by 100 trillion cells. The uncontrolled and abnormal growth of cells causes tumors. Due to the presence of tumor, the skin surface temperature of body provides abnormal behavior than normal. Most of the breast tumor develops in lobules and milk ducts of glandular layer. In this study, tumor is assumed in glandular layer. The study of this work is focused to find the temperature distribution in tumor embedded female breast tissue with different tumor location and different tumor size. For this, the finite element method is used to solve two-dimensional Pennes bio heat equation. The results show that the skin surface temperature of breast is higher with nearest tumor from areola. The temperature variation in breast tissue with tumors located at symmetrical position about the central line of the breast are identical.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"134 2-3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133529030","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 Topological Indices of Double Square Snake Graphs 双方蛇图的若干拓扑指标
The Nepali Mathematical Sciences Report Pub Date : 2021-06-30 DOI: 10.3126/nmsr.v38i1.38872
Pushpalatha Mahalank, B. K. Majhi, I. N. Cangul
{"title":"Some Topological Indices of Double Square Snake Graphs","authors":"Pushpalatha Mahalank, B. K. Majhi, I. N. Cangul","doi":"10.3126/nmsr.v38i1.38872","DOIUrl":"https://doi.org/10.3126/nmsr.v38i1.38872","url":null,"abstract":" In many areas of science, lattice structures are very useful phenomenons. In network sciences, in chemistry and in social sciences, we face them in the solution of many daily life problems. Several large lattice structures can also be thought as graphs and in that way, are useful in the study of large networks. A very recently defined and studied class of such networks are snake graphs which has close relations with number theory due to the use of continued fractions. Following the works on square snake graphs, in this work, we study some non-Zagreb type topological graph indices of some interesting lattice structures called as double square snake graphs. We first obtain the vertex and edge partitions of these graphs and calculate their indices by means of these partitions.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116680669","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
Indexed Absolute Cesaro Summability for Infinite Series 无穷级数的索引绝对Cesaro可和性
The Nepali Mathematical Sciences Report Pub Date : 2021-06-30 DOI: 10.3126/nmsr.v38i1.38901
S. Sonker, A. Munjal, L. Mishra
{"title":"Indexed Absolute Cesaro Summability for Infinite Series","authors":"S. Sonker, A. Munjal, L. Mishra","doi":"10.3126/nmsr.v38i1.38901","DOIUrl":"https://doi.org/10.3126/nmsr.v38i1.38901","url":null,"abstract":"Available with fulltext.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125813679","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
L2 Solution of Linearized Cutoff Boltzmann Equation with Boundary Condition 具有边界条件的线性化截止Boltzmann方程的L2解
The Nepali Mathematical Sciences Report Pub Date : 2021-06-30 DOI: 10.3126/nmsr.v38i1.38777
Cong He, Jingchun Chen, Houzhang Fang, Huan He
{"title":"L2 Solution of Linearized Cutoff Boltzmann Equation with Boundary Condition","authors":"Cong He, Jingchun Chen, Houzhang Fang, Huan He","doi":"10.3126/nmsr.v38i1.38777","DOIUrl":"https://doi.org/10.3126/nmsr.v38i1.38777","url":null,"abstract":"Available with fulltext.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"124 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132273933","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 Pillai-Chowla Method for an Error Term in The Mean Square of δK(n) δK(n)均方误差项的Pillai-Chowla法
The Nepali Mathematical Sciences Report Pub Date : 2021-06-30 DOI: 10.3126/nmsr.v38i1.38910
Tadaaki Igawa, T. Minamide, Miyu Nakano
{"title":"The Pillai-Chowla Method for an Error Term in The Mean Square of δK(n)","authors":"Tadaaki Igawa, T. Minamide, Miyu Nakano","doi":"10.3126/nmsr.v38i1.38910","DOIUrl":"https://doi.org/10.3126/nmsr.v38i1.38910","url":null,"abstract":"Available with fulltext.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"243 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127691622","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
Approximating the Sum of Infinite Series of Non Negative Terms with reference to Integral Test 用积分检验逼近非负项无穷级数的和
The Nepali Mathematical Sciences Report Pub Date : 2020-12-31 DOI: 10.3126/NMSR.V37I1-2.34092
D. Paudyal
{"title":"Approximating the Sum of Infinite Series of Non Negative Terms with reference to Integral Test","authors":"D. Paudyal","doi":"10.3126/NMSR.V37I1-2.34092","DOIUrl":"https://doi.org/10.3126/NMSR.V37I1-2.34092","url":null,"abstract":"This paper describes a method of obtaining approximate sum of infinite series of positive terms by using integrals under its historical background. It has shown the application of improper integrals to determine whether the given innate series is convergent or divergent. Here, the limits of the integrals and the series usually extend to infinity though they may be slowly convergent. We have also established a relation to approximate the sum of infinite series of positive terms with a suitable example.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"221 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130642023","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
Optimal Methods for Finding Simple and Multiple Roots of Nonlinear Equations and their Basins of Attraction 求非线性方程单根和多重根及其吸引域的最优方法
The Nepali Mathematical Sciences Report Pub Date : 2020-12-31 DOI: 10.3126/NMSR.V37I1-2.34065
P. Chand
{"title":"Optimal Methods for Finding Simple and Multiple Roots of Nonlinear Equations and their Basins of Attraction","authors":"P. Chand","doi":"10.3126/NMSR.V37I1-2.34065","DOIUrl":"https://doi.org/10.3126/NMSR.V37I1-2.34065","url":null,"abstract":"In this paper, using the variant of Frontini-Sormani method, some higher order methods for finding the roots (simple and multiple) of nonlinear equations are proposed. In particular, we have constructed an optimal fourth order method and a family of sixth order method for finding a simple root. Further, an optimal fourth order method for finding a multiple root of a nonlinear equation is also proposed. We have used different weight functions to a cubically convergent For ntini-Sormani method for the construction of these methods. The proposed methods are tested on numerical examples and compare the results with some existing methods. Further, we have presented the basins of attraction of these methods to understand their dynamics visually.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126110817","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
Absolute Summability for N-Tupled Triangle Matrices on Sequence Space 序列空间上n元三角矩阵的绝对可和性
The Nepali Mathematical Sciences Report Pub Date : 2020-12-31 DOI: 10.3126/NMSR.V37I1-2.34070
A. Munjal
{"title":"Absolute Summability for N-Tupled Triangle Matrices on Sequence Space","authors":"A. Munjal","doi":"10.3126/NMSR.V37I1-2.34070","DOIUrl":"https://doi.org/10.3126/NMSR.V37I1-2.34070","url":null,"abstract":"Available with fulltext. \u0000 ","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122696446","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 Comparison of Classical Holomorphic Dynamics and Holomorphic Semigroup Dynamics-II 经典全纯动力学与全纯半群动力学的比较——ⅱ
The Nepali Mathematical Sciences Report Pub Date : 2020-12-31 DOI: 10.3126/NMSR.V37I1-2.34098
Bishnu H Subedi, A. Singh
{"title":"A Comparison of Classical Holomorphic Dynamics and Holomorphic Semigroup Dynamics-II","authors":"Bishnu H Subedi, A. Singh","doi":"10.3126/NMSR.V37I1-2.34098","DOIUrl":"https://doi.org/10.3126/NMSR.V37I1-2.34098","url":null,"abstract":"In this paper, we prove that the escaping set of a transcendental semi group is S-forward invari-ant. We also prove that if a holomorphic semi group is a belian, then the Fatou, Julia, and escaping sets are S-completely invariant. We also investigate certain cases and conditions that the holomorphic semi group dynamics exhibits the similar dynamical behavior just like a classical holomorphic dynamics. Frequently, we also examine certain amount of connections and contrasts between classical holomorphic dynamics and holomorphic semi group dynamics.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123419015","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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