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Mathematical and Computational Applications, Volume 24, Issue 4

2019 December - 19 articles

Cover Story: The markers are used in computer vision as a pattern easily detected by a computer. Two examples of markers built with a set of points optimized to resist more noise in the point positions are shown. Further, the used set of points has a quadrilateral as its convex hull. In the optimized markers, this convex hull forms a regular square, allowing to remove the interior write square. This kind of optimized markers can be recognized with a noise of at least 10% of the length of the convex hull of a square shape, and at farther distances because they are bigger than the non-optimized ones. View this paper.
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Articles (19)

  • Article
  • Open Access
1 Citations
2,722 Views
19 Pages

17 December 2019

The paper deals with the dynamical behavior of a discrete-time ratio-dependent predator–prey system. The predator dependence is one of the main concerns of the system. The stability analysis of this 2-dimensional map was carried out analyticall...

  • Article
  • Open Access
8 Citations
2,967 Views
34 Pages

13 December 2019

Graphs play a pivotal role in structuring real-world scenarios such as network security and expert systems. Numerous extensions of graph theoretical conceptions have been established for modeling uncertainty in graphical network situations. The Pytha...

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,504 Views
18 Pages

10 December 2019

In this paper, we study the meshless local Petrov–Galerkin (MLPG) method based on the moving least squares (MLS) approximation for finding a numerical solution to the Stefan free boundary problem. Approximation of this problem, due to the movin...

  • Article
  • Open Access
8 Citations
2,933 Views
21 Pages

Hypergraphs Based on Pythagorean Fuzzy Soft Model

  • Gulfam Shahzadi and
  • Muhammad Akram

23 November 2019

A Pythagorean fuzzy soft set (PFSS) model is an extension of an intuitionistic fuzzy soft set (IFSS) model to deal with vague knowledge according to different parameters. The PFSS model is a more powerful tool for expressing uncertain information whe...

  • Article
  • Open Access
5 Citations
7,817 Views
31 Pages

Factors for Marketing Innovation in Portuguese Firms CIS 2014

  • Patrícia Monteiro,
  • Aldina Correia and
  • Vítor Braga

Globalization, radical and frequent changes as well as the increasing importance of applying knowledge through the efficient implementation of innovation is critical under the current circumstances. Innovation has been the source of businesses compet...

(This article belongs to the Special Issue Numerical and Symbolic Computation: Developments and Applications)
  • Article
  • Open Access
1 Citations
3,015 Views
20 Pages

Magnetoencephalography (MEG) aims at reconstructing the unknown neuroelectric activity in the brain from non-invasive measurements of the magnetic field induced by neural sources. The solution of this ill-posed, ill-conditioned inverse problem is usu...

  • Feature Paper
  • Article
  • Open Access
3,092 Views
13 Pages

Optimizing the Maximal Perturbation in Point Sets while Preserving the Order Type

  • Luis Gerardo de la Fraga and
  • Heriberto Cruz Hernández

Recently a new kind of fiducial marker based on order type (OT) has been proposed. Using OT one can unequivocally identify a set of points through its triples of point orientation, and therefore, there is no need to use metric information. These prop...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2019)
  • Article
  • Open Access
3 Citations
2,792 Views
12 Pages

Differential eigenvalue problems arise in many fields of Mathematics and Physics, often arriving, as auxiliary problems, when solving partial differential equations. In this work, we present a method for eigenvalues computation following the Tau meth...

(This article belongs to the Special Issue Numerical and Symbolic Computation: Developments and Applications)
  • Correction
  • Open Access
1 Citations
2,221 Views
2 Pages
  • Feature Paper
  • Article
  • Open Access
1 Citations
3,733 Views
25 Pages

Discussed is the implementation of a continuation technique for the analysis of nonlinear structural problems, which is capable of accounting for geometric and dissipative requirements. The strategy can be applied for solving quasi-static problems, w...

(This article belongs to the Special Issue Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications)
  • Article
  • Open Access
4 Citations
3,781 Views
14 Pages

Privacy-Preserved Approximate Classification Based on Homomorphic Encryption

  • Xiaodong Xiao,
  • Ting Wu,
  • Yuanfang Chen and
  • Xingyue Fan

Privacy is a crucial issue for outsourcing computation, which means that clients utilize cloud infrastructure to perform online prediction without disclosing sensitive information. Homomorphic encryption (HE) is one of the promising cryptographic too...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
11 Citations
2,975 Views
14 Pages

A New Approach to Non-Singular Plane Cracks Theory in Gradient Elasticity

  • Sergey A. Lurie,
  • Dmitriy B. Volkov-Bogorodsky and
  • Valery V. Vasiliev

A non-local solution is obtained here in the theory of cracks, which depends on the scale parameter in the non-local theory of elasticity. The gradient solution is constructed as a regular solution of the inhomogeneous Helmholtz equation, where the f...

(This article belongs to the Special Issue Related Problems of Continuum Mechanics)
  • Article
  • Open Access
3 Citations
3,174 Views
10 Pages

Solving Nonholonomic Systems with the Tau Method

  • Alexandra Gavina,
  • José M. A. Matos and
  • Paulo B. Vasconcelos

A numerical procedure based on the spectral Tau method to solve nonholonomic systems is provided. Nonholonomic systems are characterized as systems with constraints imposed on the motion. The dynamics is described by a system of differential equation...

(This article belongs to the Special Issue Numerical and Symbolic Computation: Developments and Applications)
  • Article
  • Open Access
10 Citations
3,865 Views
15 Pages

This paper considers three dynamic systems composed of a mathematical pendulum suspended on a sliding body subjected to harmonic excitation. A comparative dynamic analysis of the studied parametric mutations of the rigid pendulum with inertial suspen...

(This article belongs to the Special Issue Computational Methods in Interdisciplinary Applications of Nonlinear Dynamics)
  • Article
  • Open Access
1 Citations
2,965 Views
14 Pages

The Invariant Two-Parameter Function of Algebras ψ

  • José María Escobar,
  • Juan Núñez-Valdés and
  • Pedro Pérez-Fernández

At present, the research on invariant functions for algebras is very extended since Hrivnák and Novotný defined in 2007 the invariant functions ψ and φ as a tool to study the Inönü–Wigner contractions...

(This article belongs to the Special Issue Numerical and Symbolic Computation: Developments and Applications)
  • Article
  • Open Access
2 Citations
5,750 Views
17 Pages

It is not possible to achieve the objectives and skills of a program in economics, at the secondary and undergraduate levels, without resorting to graphic illustrations. In this way, the use of educational software has been increasingly recognized as...

(This article belongs to the Special Issue Numerical and Symbolic Computation: Developments and Applications)
  • Feature Paper
  • Article
  • Open Access
5 Citations
2,999 Views
15 Pages

We study a variational problem for hypersurfaces in the Euclidean space with an anisotropic surface energy. An anisotropic surface energy is the integral of an energy density that depends on the surface normal over the considered hypersurface, which...

(This article belongs to the Special Issue Related Problems of Continuum Mechanics)
  • Article
  • Open Access
5 Citations
3,480 Views
16 Pages

Light Robust Goal Programming

  • Emmanuel Kwasi Mensah and
  • Matteo Rocca

28 September 2019

Robust goal programming (RGP) is an emerging field of research in decision-making problems with multiple conflicting objectives and uncertain parameters. RGP combines robust optimization (RO) with variants of goal programming techniques to achieve st...

  • Article
  • Open Access
6 Citations
8,395 Views
14 Pages

28 September 2019

Resistance spot welding is a process commonly used for joining a stack of two or three metal sheets at desired spots. Such welds are accomplished by holding the metallic workpieces together by applying pressure through the tips of a pair of electrode...

(This article belongs to the Special Issue Advanced Mathematics and Computational Applications in Control Systems Engineering)
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Math. Comput. Appl. - ISSN 2297-8747