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Applied Mathematics

Section Editor: Panos Pardalos

Panos M. Pardalos serves as Distinguished Professor of Industrial and Systems Engineering at the University of Florida. Additionally, he is the Director of the Center for Applied Optimization. Dr. Pardalos is a world leading expert in global and combinatorial optimization. His recent research interests include network design problems, optimization in telecommunications, e-commerce, data mining, biomedical applications, and massive computing.

He is also the Paul and Heidi Brown Preeminent Professor in Industrial & Systems Engineering, and is an affiliated faculty member of the Computer and Information Science Department, the Hellenic Studies Center, and the Biomedical Engineering Program

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  1. Content type: Research

    In this paper existence and uniqueness of twelfth degree spline is proved with application to quadrature. This formula is in the class of splines of degree 12 and continuity order ...

    Authors: P. O. Mohammed and F. K. Hamasalh

    Citation: SpringerPlus 2016 5:2096

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  2. Content type: Research

    Non-coaxial rotation has wide applications in engineering devices, e.g. in food processing such as mixer machines and stirrers with a two-axis kneader, in cooling turbine blades, jet engines, pumps and vacuum...

    Authors: Ahmad Qushairi Mohamad, Ilyas Khan, Zulkhibri Ismail and Sharidan Shafie

    Citation: SpringerPlus 2016 5:2090

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  3. Content type: Research

    The flow over a porous wedge, in the presence of viscous dissipation and Joule heating, has been investigated. The wedge is assumed to be saturated with nanofluid containing gyrotactic microorganisms. For the...

    Authors: Umar Khan, Naveed Ahmed and Syed Tauseef Mohyud-Din

    Citation: SpringerPlus 2016 5:2043

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  4. Content type: Research

    In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz di...

    Authors: Marija Miteva, Biljana Jolevska-Tuneska and Tatjana Atanasova-Pacemska

    Citation: SpringerPlus 2016 5:2042

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  5. Content type: Research

    This paper presents a genetic algorithm based hybrid approach for solving a fuzzy multi-objective assignment problem (FMOAP) by using an exponential membership function in which the coefficient of the objectiv...

    Authors: Jayesh M. Dhodiya and Anita Ravi Tailor

    Citation: SpringerPlus 2016 5:2028

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  6. Content type: Research

    The permutation transformation of tensors is introduced and its basic properties are discussed. The invariance under permutation transformations is studied for some important structure tensors such as symmetri...

    Authors: Yao-Tang Li, Zheng-Bo Li, Qi-Long Liu and Qiong Liu

    Citation: SpringerPlus 2016 5:2023

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  7. Content type: Research

    Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft normed rings by soft set theory. The notio...

    Authors: Vakkas Uluçay, Mehmet Şahin and Necati Olgun

    Citation: SpringerPlus 2016 5:1950

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  8. Content type: Research

    In this paper, we introduce fuzzy rank functions for groupoids, and we investigate their roles in the semigroup of binary systems by using the notions of right parallelisms and ...

    Authors: Hee Sik Kim, J. Neggers and Keum Sook So

    Citation: SpringerPlus 2016 5:1865

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  9. Content type: Research

    In this communication, we describe the Homotopy Perturbation Method with Laplace Transform (LT-HPM), which is used to solve the Lane–Emden type differential equations. It’s very difficult to solve numerically ...

    Authors: Rajnee Tripathi and Hradyesh Kumar Mishra

    Citation: SpringerPlus 2016 5:1859

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  10. Content type: Methodology

    The following paper evaluates a watermark algorithm designed for digital images by using a perceptive mask and a normalization process, thus preventing human eye detection, as well as ensuring its robustness a...

    Authors: Sandra L. Gomez Coronel, Boris Escalante Ramírez and Marco A. Acevedo Mosqueda

    Citation: SpringerPlus 2016 5:1830

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  11. Content type: Research

    In this paper, we have proposed some new upper bounds for the largest Z-eigenvalue of an irreducible weakly symmetric and nonnegative tensor, which improve the known upper bounds obtained in Chang et al. (Line...

    Authors: Jun He, Yan-Min Liu, Hua Ke, Jun-Kang Tian and Xiang Li

    Citation: SpringerPlus 2016 5:1727

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  12. Content type: Research

    This work presents an analytical solution of some nonlinear delay differential equations (DDEs) with variable delays. Such DDEs are difficult to treat numerically and cannot be solved by existing general purp...

    Authors: Brahim Benhammouda and Hector Vazquez-Leal

    Citation: SpringerPlus 2016 5:1723

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  13. Content type: Research

    We present in this paper the convergence properties of Jacobi spectral collocation method when used to approximate the solution of multidimensional nonlinear Volterra integral equation. The solution is suffic...

    Authors: Yunxia Wei, Yanping Chen, Xiulian Shi and Yuanyuan Zhang

    Citation: SpringerPlus 2016 5:1710

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  14. Content type: Research

    In this article a non-autonomous unified chaotic system with continuous periodic switch between the Chen and Lorenz systems is introduced. Dynamical behaviors of this system are investigated. We consider the i...

    Authors: Behnaz Koocheck Shooshtari, AbdolMohammad Forouzanfar and MohammadReza Molaei

    Citation: SpringerPlus 2016 5:1667

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  15. Content type: Research

    The global k-means algorithm is an incremental approach to clustering that dynamically adds one cluster center at a time through a deterministic global search procedure from suitable initial positions, and employ...

    Authors: Xiaoyan Wang and Yanping Bai

    Citation: SpringerPlus 2016 5:1665

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  16. Content type: Research

    A smoothed representation (based on natural exponential and logarithmic functions) for the canonical piecewise-linear model, is presented. The result is a completely differentiable formulation that exhibits in...

    Authors: Victor M. Jimenez-Fernandez, Maribel Jimenez-Fernandez, Hector Vazquez-Leal, Evodio Muñoz-Aguirre, Hector H. Cerecedo-Nuñez, Uriel A. Filobello-Niño and Francisco J. Castro-Gonzalez

    Citation: SpringerPlus 2016 5:1612

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  17. Content type: Research

    The aim of this paper is to study the individual and social benefits behind constructing stable R&D networks. We find that the equilibrium outcomes of a stable network are related to the number of competitors....

    Authors: Mohamad Alghamdi

    Citation: SpringerPlus 2016 5:1570

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  18. Content type: Research

    This paper is concerned with the modeling of engineering images by the fractal properties of 6-point binary interpolating scheme. Association between the fractal behavior of the limit curve/surface and the par...

    Authors: Ghulam Mustafa, Mehwish Bari and Saba Jamil

    Citation: SpringerPlus 2016 5:1493

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  19. Content type: Research

    In this study, a novel bio-inspired computing approach is developed to analyze the dynamics of nonlinear singular Thomas–Fermi equation (TFE) arising in potential and charge density models of an atom by exploi...

    Authors: Muhammad Asif Zahoor Raja, Aneela Zameer, Aziz Ullah Khan and Abdul Majid Wazwaz

    Citation: SpringerPlus 2016 5:1400

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