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Mathematics, Volume 9, Issue 5

2021 March-1 - 128 articles

Cover Story: Pantograph-type equations are used in biology, astrophysics, electrodynamics, number theory, graph theory, stochastic games, theory of neural networks, etc. The analogy principle allows one to construct exact solutions for nonlinear pantograph-type PDEs using solutions of simpler PDEs. Exact solutions of such PDEs are described for the first time. View this paper.
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Articles (128)

  • Article
  • Open Access
6 Citations
4,077 Views
15 Pages

Bayesian Analysis of Population Health Data

  • Dorota Młynarczyk,
  • Carmen Armero,
  • Virgilio Gómez-Rubio and
  • Pedro Puig

9 March 2021

The analysis of population-wide datasets can provide insight on the health status of large populations so that public health officials can make data-driven decisions. The analysis of such datasets often requires highly parameterized models with diffe...

  • Article
  • Open Access
1 Citations
2,992 Views
16 Pages

A Topological View of Reed–Solomon Codes

  • Alberto Besana and
  • Cristina Martínez

9 March 2021

We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve. This approach allowed us to study some algebraic representations of R...

  • Article
  • Open Access
2 Citations
3,474 Views
21 Pages

RiskLogitboost Regression for Rare Events in Binary Response: An Econometric Approach

  • Jessica Pesantez-Narvaez,
  • Montserrat Guillen and
  • Manuela Alcañiz

9 March 2021

A boosting-based machine learning algorithm is presented to model a binary response with large imbalance, i.e., a rare event. The new method (i) reduces the prediction error of the rare class, and (ii) approximates an econometric model that allows in...

  • Article
  • Open Access
2 Citations
2,600 Views
21 Pages

9 March 2021

This paper examines the added value of a digital tool that constitutes a new model to introduce students to multiplication. Drawing on the theory of semiotic mediation, the semiotic potential of this new model is analysed with respect to the same tas...

  • Article
  • Open Access
2,599 Views
16 Pages

Random Sampling Many-Dimensional Sets Arising in Control

  • Pavel Shcherbakov,
  • Mingyue Ding and
  • Ming Yuchi

9 March 2021

Various Monte Carlo techniques for random point generation over sets of interest are widely used in many areas of computational mathematics, optimization, data processing, etc. Whereas for regularly shaped sets such sampling is immediate to arrange,...

  • Article
  • Open Access
2,532 Views
27 Pages

Analysis and Correction of the Attack against the LPN-Problem Based Authentication Protocols

  • Siniša Tomović,
  • Milica Knežević and
  • Miodrag J. Mihaljević

8 March 2021

This paper reconsiders a powerful man-in-the-middle attack against Random-HB# and HB# authentication protocols, two prominent representatives of the HB family of protocols, which are built based on the Learning Parity in Noise (LPN) problem. A recent...

  • Article
  • Open Access
34 Citations
4,768 Views
18 Pages

Numerical Modeling of the Spread of Cough Saliva Droplets in a Calm Confined Space

  • Sergio A. Chillón,
  • Ainara Ugarte-Anero,
  • Iñigo Aramendia,
  • Unai Fernandez-Gamiz and
  • Ekaitz Zulueta

8 March 2021

The coronavirus disease 2019 (COVID-19) outbreak has altered the lives of everyone on a global scale due to its high transmission rate. In the current work, the droplet dispersion and evaporation originated by a cough at different velocities is studi...

  • Article
  • Open Access
8 Citations
2,418 Views
23 Pages

On the Computation of Some Interval Reliability Indicators for Semi-Markov Systems

  • Guglielmo D’Amico,
  • Raimondo Manca,
  • Filippo Petroni and
  • Dharmaraja Selvamuthu

8 March 2021

In this paper, we computed general interval indicators of availability and reliability for systems modelled by time non-homogeneous semi-Markov chains. First, we considered duration-dependent extensions of the Interval Reliability and then, we determ...

  • Article
  • Open Access
33 Citations
4,361 Views
20 Pages

8 March 2021

The design of switched reluctance motor (SRM) is considered a complex problem to be solved using conventional design techniques. This is due to the large number of design parameters that should be considered during the design process. Therefore, opti...

  • Article
  • Open Access
54 Citations
4,207 Views
22 Pages

7 March 2021

Nanoplates have been extensively utilized in the recent years for applications in nanoengineering as sensors and actuators. Due to their operative nanoscale, the mechanical behavior of such structures might also be influenced by inter-atomic material...

  • Article
  • Open Access
27 Citations
3,381 Views
13 Pages

7 March 2021

The production–inventory system is a problem of multivariable input and multivariant output in mathematics. Selecting the best system control parameters is a crucial managerial decision to achieve and dynamically maintain an optimal performance in te...

  • Article
  • Open Access
4 Citations
3,093 Views
24 Pages

7 March 2021

Recently, the differential evolution (DE) algorithm has been widely used to solve many practical problems. However, DE may suffer from stagnation problems in the iteration process. Thus, we propose an enhancing differential evolution with a rank-up s...

  • Article
  • Open Access
36 Citations
4,405 Views
14 Pages

7 March 2021

This paper proposes a feature selection method that is effective in distinguishing colorectal cancer patients from normal individuals using K-means clustering and the modified harmony search algorithm. As the genetic cause of colorectal cancer origin...

  • Article
  • Open Access
18 Citations
3,229 Views
19 Pages

Unpredictable Oscillations for Hopfield-Type Neural Networks with Delayed and Advanced Arguments

  • Marat Akhmet,
  • Duygu Aruğaslan Çinçin,
  • Madina Tleubergenova and
  • Zakhira Nugayeva

7 March 2021

This is the first time that the method for the investigation of unpredictable solutions of differential equations has been extended to unpredictable oscillations of neural networks with a generalized piecewise constant argument, which is delayed and...

  • Article
  • Open Access
8 Citations
3,607 Views
16 Pages

7 March 2021

In this paper, we elaborate on theoretical and methodological considerations for designing a sequence of tasks for introducing middle and high school students to functions and their graphs. In particular, we present didactical activities with an arti...

  • Article
  • Open Access
10 Citations
4,599 Views
16 Pages

6 March 2021

A new proposal to generate pseudorandom numbers with Gaussian distribution is presented. The generator is a generalization to the extended field GF(2n) of the one using cyclic rotations of linear feedback shift registers (LFSRs) originally defined in...

  • Article
  • Open Access
4 Citations
5,828 Views
30 Pages

6 March 2021

Despite almost half a century of research into students’ difficulties with solving linear equations, these difficulties persist in everyday mathematics classes around the world. Furthermore, the difficulties reported decades ago are the same ones tha...

  • Article
  • Open Access
3 Citations
3,357 Views
23 Pages

Assessing the Impact of Attendance Modality on the Learning Performance of a Course on Machines and Mechanisms Theory

  • David Valiente,
  • Héctor Campello-Vicente,
  • Emilio Velasco-Sánchez,
  • Fernando Rodríguez-Mas and
  • Nuria Campillo-Davo

6 March 2021

University education approaches related to the field of science, technology, engineering and mathematics (STEM), have generally particularized on teaching activity and learning programs which are commonly understood as reoriented lessons that fuse th...

  • Article
  • Open Access
18 Citations
4,007 Views
16 Pages

Analysis of a k-Stage Bulk Service Queuing System with Accessible Batches for Service

  • Achyutha Krishnamoorthy,
  • Anu Nuthan Joshua and
  • Vladimir Vishnevsky

6 March 2021

In most of the service systems considered so far in queuing theory, no fresh customer is admitted to a batch undergoing service when the number in the batch is less than a threshold. However, a few researchers considered the case of customers accessi...

  • Article
  • Open Access
8 Citations
3,815 Views
16 Pages

Parallel One-Step Control of Parametrised Boolean Networks

  • Luboš Brim,
  • Samuel Pastva,
  • David Šafránek and
  • Eva Šmijáková

6 March 2021

Boolean network (BN) is a simple model widely used to study complex dynamic behaviour of biological systems. Nonetheless, it might be difficult to gather enough data to precisely capture the behavior of a biological system into a set of Boolean funct...

  • Article
  • Open Access
2,017 Views
18 Pages

6 March 2021

We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result. Th...

  • Article
  • Open Access
3 Citations
3,515 Views
19 Pages

6 March 2021

This paper addresses the problem of modeling credit risk for multi-product and global loan portfolios. The authors presented an improved version of the Basel Committee’s one-factor model for capital requirements calculation. They examined whether lat...

  • Article
  • Open Access
7 Citations
2,738 Views
14 Pages

Global Dynamics of a Discrete-Time MERS-Cov Model

  • Mahmoud H. DarAssi,
  • Mohammad A. Safi and
  • Morad Ahmad

6 March 2021

In this paper, we have investigated the global dynamics of a discrete-time middle east respiratory syndrome (MERS-Cov) model. The proposed discrete model was analyzed and the threshold conditions for the global attractivity of the disease-free equili...

  • Article
  • Open Access
9 Citations
5,088 Views
17 Pages

6 March 2021

The main aim of the present study is to analyze the differences that may exist when students address the resolution of verbal problems in their mother tongue and in the language of instruction when these are different. We understand that knowing the...

  • Article
  • Open Access
7 Citations
2,408 Views
15 Pages

Identifying Non-Sublattice Equivalence Classes Induced by an Attribute Reduction in FCA

  • Roberto G. Aragón,
  • Jesús Medina and
  • Eloísa Ramírez-Poussa

6 March 2021

The detection of redundant or irrelevant variables (attributes) in datasets becomes essential in different frameworks, such as in Formal Concept Analysis (FCA). However, removing such variables can have some impact on the concept lattice, which is cl...

  • Article
  • Open Access
6 Citations
5,591 Views
17 Pages

On the Discretization of Continuous Probability Distributions Using a Probabilistic Rounding Mechanism

  • Chénangnon Frédéric Tovissodé,
  • Sèwanou Hermann Honfo,
  • Jonas Têlé Doumatè and
  • Romain Glèlè Kakaï

6 March 2021

Most existing flexible count distributions allow only approximate inference when used in a regression context. This work proposes a new framework to provide an exact and flexible alternative for modeling and simulating count data with various types o...

  • Article
  • Open Access
18 Citations
6,435 Views
15 Pages

Simplified Mathematical Modelling of Uncertainty: Cost-Effectiveness of COVID-19 Vaccines in Spain

  • Julio Emilio Marco-Franco,
  • Pedro Pita-Barros,
  • Silvia González-de-Julián,
  • Iryna Sabat and
  • David Vivas-Consuelo

6 March 2021

When exceptional situations, such as the COVID-19 pandemic, arise and reliable data is not available at decision-making times, estimation using mathematical models can provide a reasonable reckoning for health planning. We present a simplified model...

  • Article
  • Open Access
14 Citations
3,098 Views
19 Pages

An Optimal Derivative Free Family of Chebyshev–Halley’s Method for Multiple Zeros

  • Ramandeep Behl,
  • Sonia Bhalla,
  • Ángel Alberto Magreñán and
  • Alejandro Moysi

5 March 2021

In this manuscript, we introduce the higher-order optimal derivative-free family of Chebyshev–Halley’s iterative technique to solve the nonlinear equation having the multiple roots. The designed scheme makes use of the weight function and one paramet...

  • Article
  • Open Access
10 Citations
2,491 Views
20 Pages

Regression Methods Based on Nearest Neighbors with Adaptive Distance Metrics Applied to a Polymerization Process

  • Silvia Curteanu,
  • Florin Leon,
  • Andra-Maria Mircea-Vicoveanu and
  • Doina Logofătu

5 March 2021

Empirical models based on sampled data can be useful for complex chemical engineering processes such as the free radical polymerization of methyl methacrylate achieved in a batch bulk process. In this case, the goal is to predict the monomer conversi...

  • Article
  • Open Access
2 Citations
2,101 Views
13 Pages

5 March 2021

The problem of randomized maximum entropy estimation for the probability density function of random model parameters with real data and measurement noises was formulated. This estimation procedure maximizes an information entropy functional on a set...

  • Article
  • Open Access
10 Citations
2,559 Views
14 Pages

On the Similarity and Dependence of Time Series

  • Vilém Novák and
  • Soheyla Mirshahi

5 March 2021

In this paper, we undertake the problem of evaluating interrelation among time series. Interrelation is measured using a similarity index. In this paper, we suggest a new one based on the known fuzzy transform (F-transform), which has been proven to...

  • Article
  • Open Access
5 Citations
2,013 Views
18 Pages

5 March 2021

Under a couple of canonical and mixed canonical-noncanonical conditions, we investigate the oscillation and asymptotic behavior of solutions to a class of third-order nonlinear neutral dynamic equations with mixed deviating arguments on time scales....

  • Article
  • Open Access
30 Citations
4,273 Views
21 Pages

5 March 2021

Accurate and reliable dam inflow prediction models are essential for effective reservoir operation and management. This study presents a data-driven model that couples a long short-term memory (LSTM) network with robust input predictor selection, inp...

  • Article
  • Open Access
11 Citations
2,917 Views
14 Pages

5 March 2021

Let n be a fixed natural number. Menger algebras of rank n, which was introduced by Menger, K., can be regarded as the suitable generalization of arbitrary semigroups. Based on this knowledge, an interesting question arises: what a generalization of...

  • Article
  • Open Access
25 Citations
3,278 Views
20 Pages

Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation Point

  • Nurul Amira Zainal,
  • Roslinda Nazar,
  • Kohilavani Naganthran and
  • Ioan Pop

5 March 2021

There has been significant interest in exploring a stagnation point flow due to its numerous potential uses in engineering applications such as cooling of nuclear reactors. Hence, this study proposed a numerical analysis on the unsteady magnetohydrod...

  • Article
  • Open Access
19 Citations
3,414 Views
13 Pages

5 March 2021

In this paper, we compare three methods for deriving a priority vector in the theoretical framework of pairwise comparisons—the Geometric Mean Method (GMM), Eigenvalue Method (EVM) and Best–Worst Method (BWM)—with respect to two features: sensitivity...

  • Article
  • Open Access
23 Citations
5,921 Views
18 Pages

Blockchain Technology for Winning Consumer Loyalty: Social Norm Analysis Using Structural Equation Modeling

  • María de los Ángeles Pérez-Sánchez,
  • Zhuowei Tian,
  • Almudena Barrientos-Báez,
  • José Gómez-Galán and
  • Hanliang Li

4 March 2021

Remarkable changes have taken in social operation mode and consumers’ behavior mode because of the foot ban during the pandemic spread of COVID-19. Digital technologies such as Blockchain have shown potential in gaining competitive advantages for ent...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,833 Views
15 Pages

4 March 2021

Multiresolution representations of data are known to be powerful tools in data analysis and processing, and they are particularly interesting for data compression. In order to obtain a proper definition of the edges, a good option is to use nonlinear...

  • Feature Paper
  • Article
  • Open Access
9 Citations
3,025 Views
13 Pages

Application of the Oriented Fuzzy Numbers in Credit Risk Assessment

  • Aleksandra Wójcicka-Wójtowicz and
  • Krzysztof Piasecki

4 March 2021

Over the years, banks have faced many difficulties, related mainly to lax credit standards for borrowers and counterparties. The goal of credit risk management is to maintain the volume of credit risk at acceptable level as it is a vital feature in r...

  • Article
  • Open Access
2 Citations
2,823 Views
25 Pages

4 March 2021

Finding new valuable sampling points and making these points better distributed in the design space is the key to determining the approximate effect of Kriging. To this end, a high-precision Kriging modeling method based on hybrid sampling criteria (...

  • Article
  • Open Access
46 Citations
3,102 Views
18 Pages

4 March 2021

In this paper, we examine the influence of hybrid nanoparticles on flow and heat transfer over a permeable non-isothermal shrinking surface and we also consider the radiation and the magnetohydrodynamic (MHD) effects. A hybrid nanofluid consists of c...

  • Article
  • Open Access
1 Citations
1,796 Views
19 Pages

Riccati PDEs That Imply Curvature-Flatness

  • Iulia Hirica,
  • Constantin Udriste,
  • Gabriel Pripoae and
  • Ionel Tevy

4 March 2021

In this paper the following three goals are addressed. The first goal is to study some strong partial differential equations (PDEs) that imply curvature-flatness, in the cases of both symmetric and non-symmetric connection. Although the curvature-fla...

  • Article
  • Open Access
11 Citations
2,494 Views
15 Pages

4 March 2021

The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers. Moreover, we construct one type of symmetric mat...

  • Article
  • Open Access
4 Citations
2,325 Views
14 Pages

Some Fixed Point Results of Weak-Fuzzy Graphical Contraction Mappings with Application to Integral Equations

  • Shamoona Jabeen,
  • Zhiming Zheng,
  • Mutti-Ur Rehman,
  • Wei Wei and
  • Jehad Alzabut

4 March 2021

The present paper aims to introduce the concept of weak-fuzzy contraction mappings in the graph structure within the context of fuzzy cone metric spaces. We prove some fixed point results endowed with a graph using weak-fuzzy contractions. By relaxin...

  • Article
  • Open Access
8 Citations
4,178 Views
22 Pages

4 March 2021

This article uses the projected gradient method (PG) for a non-negative matrix factorization problem (NMF), where one or both matrix factors must have orthonormal columns or rows. We penalize the orthonormality constraints and apply the PG method via...

  • Article
  • Open Access
9 Citations
2,508 Views
36 Pages

4 March 2021

In the last years, the distribution network operators (DNOs) assumed transition strategies of the electric distribution networks (EDNs) towards the active areas of the microgrids where, regardless of the operating regimes, flexibility, economic effic...

  • Article
  • Open Access
11 Citations
4,299 Views
20 Pages

4 March 2021

This paper introduces a two-stage method based on bio-inspired algorithms for the design optimization of a class of general Stewart platforms. The first stage performs a mono-objective optimization in order to reach, with sufficient dexterity, a regu...

  • Article
  • Open Access
18 Citations
6,270 Views
36 Pages

4 March 2021

Asymptotic unbiasedness and L2-consistency are established, under mild conditions, for the estimates of the Kullback–Leibler divergence between two probability measures in Rd, absolutely continuous with respect to (w.r.t.) the Lebesgue measure....

  • Communication
  • Open Access
7 Citations
2,751 Views
13 Pages

4 March 2021

The harmony search (HS) algorithm is an evolutionary computation technique, which was inspired by music improvisation. So far, it has been applied to various scientific and engineering optimization problems including project scheduling, structural de...

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Mathematics - ISSN 2227-7390