Current Topics on Mathematics and Computer Science Vol. 6最新文献

Study on Vector Operations Transform into Matrix Operations 向量运算转化为矩阵运算的研究

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/3452F

F. Chang

引用次数: 0

Approximation of Common Fixed Points of Two Multivalued Nonexpansive Mappings in Cat (0) Spaces Cat(0)空间中两个多值非膨胀映射的公共不动点逼近

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/bpi/ctmcs/v6/3207f

Makbule Kaplan

引用次数: 0

Study on Proposed Resource Allocation Management for Cloud Computing Using Tabu Search Algorithm 基于禁忌搜索算法的云计算资源分配管理研究

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/11081D

Imran Alam, M. Pandey, S. Rautaray

引用次数: 1

An Algorithm for Generating N-Dimensional Rotation Matrix 一种生成n维旋转矩阵的算法

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/3301F

Ognyan Ivanov Zhelezov

引用次数: 1

Study on the Influence of Longitudinal Diffusion on the Transport of Dust Particles Emitted from a Fixed Source 纵向扩散对固定源发射尘粒输运影响的研究

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/3309F

Khaled S. Al-Mashrafi

{"title":"Study on the Influence of Longitudinal Diffusion on the Transport of Dust Particles Emitted from a Fixed Source","authors":"Khaled S. Al-Mashrafi","doi":"10.9734/BPI/CTMCS/V6/3309F","DOIUrl":"https://doi.org/10.9734/BPI/CTMCS/V6/3309F","url":null,"abstract":"The mathematical model for the diffusion of dust particles emitted from a fixed source in the presence of the longitudinal diffusion and absence of latitudinal and vertical diffusions, is investigated. The diffusion of dust particles in the atmosphere is governed by the atmospheric diffusion equation. In the previous paper [1], the general case of the time-dependent diffusion equation in the presence of a point source whose strength is dependent on time, was solved. The calculations showed that the diffusion parameters play an important role in the spread of the dust particles in the atmosphere. In the previous paper, we examined the model in the presence of vertical diffusion and absence of other diffusions to show that for small times, the dust spreads with a front that travels with the speed of the wind. In this study, we shall assume that the flow is a non-zero constant. In the current paper, the vertical and latitudinal diffusions are absent while the longitudinal diffusion is present. It is found that the solution depends on the source of time dependence. To study the nature of the solution, two special cases of the source are specified. In both cases, it is found that there is no discontinuity front, and the dust particles spread slowly into the direction of the wind.","PeriodicalId":364643,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 6","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122089290","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

Determination of Range of Outputs Precise of Digits Rounding in SPSS and MS Excel SPSS和MS Excel中数字舍入精度输出范围的确定

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/3347F

Zaher Saif

{"title":"Determination of Range of Outputs Precise of Digits Rounding in SPSS and MS Excel","authors":"Zaher Saif","doi":"10.9734/BPI/CTMCS/V6/3347F","DOIUrl":"https://doi.org/10.9734/BPI/CTMCS/V6/3347F","url":null,"abstract":"The concept of this research is calculates rounding and truncate in SPSS and round function in MS Excel for 10 random digits numbers and comparing the results in the two programs with the same digits numbers. Compare the rounding outputs in both programs in four decimal places. The statistical operations done by many specialist programs, by them can do these operations fluently and precisely. There are many functions in such programs can calculate in SAS, STAT and the analytical program SPSS. There is Microsoft Excel program that is calculate like these functions. The level of some programs may be different than others within these functions they are calculating. From these functions are Sum, Average, Maximum and Minimum. Round function is also from these functions that can measure it's accuracy through this research. In this research i chose ten digits numbers and I also chose three criteria under, equal and more than 5. According to that the rounding operations are done based on if wanted decimal place is less, equal or higher than 5. Rounding applied on ten digits using SPSS and MS Excel programs. The outputs findings are the same except that Microsoft Excel is truncating the last zeroes of the digit after the decimal point. Wherever the decimal place specified in the digit is want it will truncate after the decimal point. The SPSS is more precise than MS Excel based on the decimal place in the digit number wanted statistically and analytically.","PeriodicalId":364643,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 6","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124107093","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 Computational Approach for Evaluating the Transient Behaviour of M/M (a, b)/1 Bulk Service Queueing System with Working Vacation 带休假的M/M (A, b)/1批量服务排队系统暂态行为评估的计算方法

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/3211F

S. Shanthi, A. Subramanian, Gopal Sekar

{"title":"A Computational Approach for Evaluating the Transient Behaviour of M/M (a, b)/1 Bulk Service Queueing System with Working Vacation","authors":"S. Shanthi, A. Subramanian, Gopal Sekar","doi":"10.9734/BPI/CTMCS/V6/3211F","DOIUrl":"https://doi.org/10.9734/BPI/CTMCS/V6/3211F","url":null,"abstract":"A new computational technique is used to evaluate the Transient behaviour of Single Server Bulk Service Queueing System with Working Vacation with arrival rate (lambda) which follows a Poisson process and the service will be in bulk. In this model the server provides two types of services namely normal service and lower service. The normal service time follows an exponential distribution with parameter (mu)1. The lower service rate follows an exponential distribution with parameter (mu)2. The vacation time follows an exponential distribution with parameter (alpha). According to Neuts, the server begins service only when a minimum of ‘a’ customers in the waiting room and a maximum service capacity is ‘b’. An infinitesimal generator matrix is formed for all transitions. Time dependent solutions and Steady state solutions are acquired by using Cayley Hamilton theorem. Numerical studies have been done for Time dependent average number of customers in the queue, Transient probabilities of server in vacation and server busy for several values of t, (lambda), µ1, (mu)2, (alpha), a and b. In this model we have provided transient probability distribution of number of customers in the queue at time t and also time dependent system measures.","PeriodicalId":364643,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 6","volume":"169 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128725138","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

Study on Some Theorems of Random Coefficient Models with Laplace Marginals 带拉普拉斯边际的随机系数模型若干定理的研究

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/3423F

Bindu Krishnan

引用次数: 0

Study on Singularity Induced Interior Stokes Flows 奇点诱导内斯托克斯流动的研究

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/3305F

N. Akhtar, G. A. H. Chowdhury

引用次数: 0

Determination of a Special Case of Symmetric Matrices and Their Applications 对称矩阵的一种特殊情况的确定及其应用

Current Topics on Mathematics and Computer Science Vol. 6 Pub Date : 2021-07-21 DOI: 10.9734/BPI/CTMCS/V6/3302F

Ognyan Ivanov Zhelezov

引用次数: 0