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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Dalson Britto Figueiredo Filho, Enivaldo Carvalho da Rocha, José Alexandre da Silva Júnior, Ranulfo Paranhos, Mariana Batista da Silva, Bárbara Sofia Félix Duarte
This paper provides an intuitive introduction to cluster analysis. Our targeting audience are both scholars and students in Political Science. Methodologically, we use basic simulation to illustrate the underlying logic of cluster analysis and we replicate da…
Trevor M. O’Brien, Gareth E. Roberts
Though well-known for its simplicity and efficiency, Newton’s method applied to a complex polynomial can fail quite miserably, even on a relatively large open set of initial guesses. In this work, we present some analytic and numerical results for Newton’s me…
Nassar H. Abdel-All, Samah G. Mohamed, Mariam T. Al-Dossary
Kinematics of moving generalized curves in a n -dimensional Euclidean space is formulated in terms of intrinsic geometries. The evolution equations of the orthonormal frame and higher curvatures are obtained. The integrability conditions for the evolutions ar…
A. Wünsche
We discuss a new possible construction of the regular heptagon by rhombic bicompasses explained in the text as a new geometric mean of constructions in the spirit of classical constructions in connection with an unmarked ruler (straightedge). It avoids the di…
M. M. Khader, A. M. S. Mahdy, M. M. Shehata
In this paper, we propose and analyze some schemes of the integral collocation formulation based on Legendre polynomials. We implement these formulae to solve numerically Riccati, Logistic and delay differential equations with variable coefficients. The prope…
Jana Fialová, Ladislav Mišk, Oto Strauch
In this paper, we apply the Weyl's limit relation to calculate the limit , where γ q ( n ) is the van der Corput sequence in base q, g ( x , y , z), is the asymptotic distribution function of ( γ q ( n ), γ q ( n + 1 ), γ q ( n + 2 )), and F ( x , y , z) = ma…
Yuriy Kozachenko, Anna Slyvka-Tylyshchak
The influence of random factors should often be taken into account in solving problems of mathematical physics. The heat equation with random factors is a classical problem of the parabolic type of mathematical physics. In this paper, the heat equation with r…
Abdelhalim Bouchemella, Fatima Zahra Benmostefa
In this study, we focus on the class of BL-GARCH models, which is initially introduced by Storti & Vitale [1] in order to handle leverage effects and volatility clustering. First we illustrate some properties of BL-GARCH (1, 2) model, like the positivity, sta…
Qian Zhang
The location of the distribution facilities and the routing of the vehicles from these facilities are interdependent in many distribution systems. Such a concept recognizes the interdependence; attempts to integrate these two decisions have been limited. Mult…
Aliou Gueye Sow, Ibrahima Mbaye
In this paper, we present a method for solving coupled problem. This method is mainly based on the successive approximations method. The external force acting on the structure is replaced by λ = p (x 1 , H + u (x 1 , λ )) . Then we have a nonlinear equation o…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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