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Statistical Hybridization of Normal and Weibull Distributions with its Properties and Applications 正态分布和威布尔分布的统计杂交及其性质和应用
Journal of Applied and Computational Mathematics Pub Date : 2018-09-01 DOI: 10.4172/2168-9679.1000424
Oyetunde Aa
{"title":"Statistical Hybridization of Normal and Weibull Distributions with its Properties and Applications","authors":"Oyetunde Aa","doi":"10.4172/2168-9679.1000424","DOIUrl":"https://doi.org/10.4172/2168-9679.1000424","url":null,"abstract":"The normal distribution is one of the most popular probability distributions with applications to real life data. In this research paper, an extension of this distribution together with Weibull distribution called the Weimal distribution which is believed to provide greater flexibility to model scenarios involving skewed data was proposed. The probability density function and cumulative distribution function of the new distribution can be represented as a linear combination of exponential normal density functions. Analytical expressions for some mathematical quantities comprising of moments, moment generating function, characteristic function and order statistics were presented. The estimation of the proposed distribution’s parameters was undertaken using the method of maximum likelihood estimation. Two data sets were used for illustration and performance evaluation of the proposed model. The results of the comparative analysis to other baseline models show that the proposed distribution would be more appropriate when dealing with skewed data.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"39 1","pages":"62-68"},"PeriodicalIF":0.0,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81597537","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
Optimization and Gimbal Lock Control via Shifted Decomposition of Rotations 基于旋转位移分解的优化与万向节锁定控制
Journal of Applied and Computational Mathematics Pub Date : 2018-08-09 DOI: 10.4172/2168-9679.1000410
D. Brezov
{"title":"Optimization and Gimbal Lock Control via Shifted Decomposition of Rotations","authors":"D. Brezov","doi":"10.4172/2168-9679.1000410","DOIUrl":"https://doi.org/10.4172/2168-9679.1000410","url":null,"abstract":"The present paper studies the effects of introducing a fourth rotation in the generalized Euler factorization. As a first immediate consequence, it is shown to weaken the well-known Davenport orthogonally condition on the decomposition axes, thus allowing much more freedom in the geometry of attitude control mechanisms. Furthermore, the additional parameter is used for avoiding gimbal lock singularities and optimization purposes. Some of these features have been pointed out by other authors and partially studied in the case of two axes. This text, however, provides exact closed form solutions based on recent results on the generalized Euler decomposition problem. The examples considered below clearly illustrate that the approach of four factor sequences can be significantly more efficient than standard Euler type decompositions. Finally, dynamical effects, such as the inertial anisotropy, are being modelled via introducing weight coefficients in the cost function.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"45 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83071538","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
Stabilizing Control for Nonlinear Switched Systems in Two Dimensions with a Geometric Approach 二维非线性切换系统的几何镇定控制
Journal of Applied and Computational Mathematics Pub Date : 2018-03-19 DOI: 10.4172/2168-9679.1000396
F. Omri
{"title":"Stabilizing Control for Nonlinear Switched Systems in Two Dimensions with a Geometric Approach","authors":"F. Omri","doi":"10.4172/2168-9679.1000396","DOIUrl":"https://doi.org/10.4172/2168-9679.1000396","url":null,"abstract":"The purpose of this paper is to give a sufficient condition for the existence and stability of a hybrid limit cycle for the stabilizing control of a class of switched dynamical systems in . This is then illustrated on a Induction Heating Appliance.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"41 1","pages":"1-3"},"PeriodicalIF":0.0,"publicationDate":"2018-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81780025","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 Mathematical Model for an Acceleration of a Rotating Object about a Fixed Axis 绕固定轴旋转物体加速度的数学模型
Journal of Applied and Computational Mathematics Pub Date : 2018-03-06 DOI: 10.4172/2168-9679.1000394
R. Usubamatov, D. Abdykerimova, Z. Dotalieva
{"title":"A Mathematical Model for an Acceleration of a Rotating Object about a Fixed Axis","authors":"R. Usubamatov, D. Abdykerimova, Z. Dotalieva","doi":"10.4172/2168-9679.1000394","DOIUrl":"https://doi.org/10.4172/2168-9679.1000394","url":null,"abstract":"Kinematics of a rotating object about a fixed axis is well described in science of classical mechanics. All fundamental publications and textbooks contain a mathematical model for an acceleration of a rotating object about a fixed axis that is used for computing of forces acting on an object. Practice of usage for computing an acceleration a rotating object did not show some claims to the known equation. Nevertheless, the detailed analysis of the mathematical model for kinematics of a rotation of an object with acceleration demonstrates its incorrectness. The value of the actual acceleration of the rotating object is less than computed by the known equation. This is reason that running mechanisms are operating without fails because the value of acting forces is bigger than actual one. It means, the component of mechanisms is stronger and heavier than necessary. This paper addresses an acceleration analysis of a rotating object about a fixed axis and presents the mathematical model for computing an acceleration that can be used in engineering.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"6 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2018-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80163600","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
Great Matrix Equations 伟大的矩阵方程
Journal of Applied and Computational Mathematics Pub Date : 2018-01-30 DOI: 10.4172/2168-9679.1000384
Jumaboyevich Kn, Yuldashevich Aq, Ugli Iob
{"title":"Great Matrix Equations","authors":"Jumaboyevich Kn, Yuldashevich Aq, Ugli Iob","doi":"10.4172/2168-9679.1000384","DOIUrl":"https://doi.org/10.4172/2168-9679.1000384","url":null,"abstract":"This paper is devoted to some identities of matrix and determinants. In this article, matrices inequalities are widely used. Matrices are non-optimistic. The matrix's determinants have been proven. In addition to the left module and the right module descriptions in this article. In general, this article is devoted to matrix approximation.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"20 1","pages":"1-3"},"PeriodicalIF":0.0,"publicationDate":"2018-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79062376","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
Modeling and Periodicity Analysis of Sunspot Time Series 1700-2015 太阳黑子时间序列1700-2015的建模与周期分析
Journal of Applied and Computational Mathematics Pub Date : 2018-01-24 DOI: 10.4172/2168-9679.1000385
A. Byt, Hamdi Ms
{"title":"Modeling and Periodicity Analysis of Sunspot Time Series 1700-2015","authors":"A. Byt, Hamdi Ms","doi":"10.4172/2168-9679.1000385","DOIUrl":"https://doi.org/10.4172/2168-9679.1000385","url":null,"abstract":"This paper deals with the modeling of sunspot time series 1700-2015. Different models are fitted from four different classes of mathematical and stochastic models in order to describe this series. A special attention is made for the periodicity analysis of this series through these models as well as their main properties.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"59 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2018-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88892005","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 Algorithm for Solving Indefinite Quadratic Programming Problems 求解不定二次规划问题的一种算法
Journal of Applied and Computational Mathematics Pub Date : 2018-01-24 DOI: 10.4172/2168-9679.1000380
S. Amael
{"title":"An Algorithm for Solving Indefinite Quadratic Programming Problems","authors":"S. Amael","doi":"10.4172/2168-9679.1000380","DOIUrl":"https://doi.org/10.4172/2168-9679.1000380","url":null,"abstract":"In this paper, we give in section (1) compact description of the algorithm for solving general quadratic programming problems (that is, obtaining a local minimum of a quadratic function subject to inequality constraints) is presented. In section (2), we give practical application of the algorithm, we also discuss the computation work and performing by the algorithm and try to achieve efficiency and stability as possible as we can. In section (3), we show how to update the QR-factors of , when the tableau is complementary ,we give updating to the LDLT-Factors of . In section (4) we are not going to describe a fully detailed method of obtaining an initial feasible point, since linear programming literature is full of such techniques.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"27 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2018-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84975978","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
High Order Mimetic Finite Difference Operators Satisfying a Gauss Divergence Theorem 满足高斯散度定理的高阶模拟有限差分算子
Journal of Applied and Computational Mathematics Pub Date : 2018-01-22 DOI: 10.4172/2168-9679.1000387
Johnny Corbino, J. Castillo
{"title":"High Order Mimetic Finite Difference Operators Satisfying a Gauss Divergence Theorem","authors":"Johnny Corbino, J. Castillo","doi":"10.4172/2168-9679.1000387","DOIUrl":"https://doi.org/10.4172/2168-9679.1000387","url":null,"abstract":"High order mimetic finite difference operators that satisfy a discrete extended Gauss Divergence theorem are presented. These operators have the same order of accuracy in the interior as well as the boundary, no free parameters and optimal bandwidth. They are constructed on staggered grids, using weighted inner products with a diagonal norm. We present several examples to demonstrate that mimetic finite difference schemes using these operators produce excellent results.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2018-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83668424","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
Segmentation Model for Noisy and Intensity Inhomogeneity Images via Logarithmic Density Function 基于对数密度函数的噪声和强度非均匀性图像分割模型
Journal of Applied and Computational Mathematics Pub Date : 2018-01-18 DOI: 10.4172/2168-9679.1000388
Ali S, Dayyan B
{"title":"Segmentation Model for Noisy and Intensity Inhomogeneity Images via Logarithmic Density Function","authors":"Ali S, Dayyan B","doi":"10.4172/2168-9679.1000388","DOIUrl":"https://doi.org/10.4172/2168-9679.1000388","url":null,"abstract":"This manuscript is devoted to the study of a new image segmentation model for noisy and intensity inhomogeneity images based on logarithmic density function. Local image information is necessary for inhomogeneous images but at the same time, it is defective for noisy images as a consequence local information misguide the motion of active contour. However, the logarithmic function in our new proposed model is capable to capture minute details in images, while ignoring the noise in it which makes it robust in such kinds of images. Comparing with local Chan-Vese Model our new proposed model gives better performance treating noisy and intensity inhomogeneity images. Finally, experiments on some noisy and intensity inhomogeneity images show the robustness of our new proposed model.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"24 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2018-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81619495","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
Hosoya Polynomial and Topological Indices of the Jahangir Graph J7,m Jahangir图的Hosoya多项式和拓扑指标[j]，m
Journal of Applied and Computational Mathematics Pub Date : 2018-01-03 DOI: 10.4172/21689679.1000389
Nizami Ar, T. Farman
{"title":"Hosoya Polynomial and Topological Indices of the Jahangir Graph J7,m","authors":"Nizami Ar, T. Farman","doi":"10.4172/21689679.1000389","DOIUrl":"https://doi.org/10.4172/21689679.1000389","url":null,"abstract":"The Hosoya polynomial of a graph was introduced by H. Hosoya in 1988, and the most interesting application of the Hosoya polynomial is that almost all distance-based graph invariants, which are used to predict physical, chemical and pharmacological properties of organic molecules, can be recovered from the Hosoya polynomial. In this article we not only give the general form of the Hosoya polynomial of the Jahangir graph J7,m, m ≥ 3, but also give the general forms of the topological indices, Wiener, hyper Wiener, Harary, and Tratch Stankevitch-Zefirov.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"46 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2018-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77576245","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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