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Mathematics, Volume 9, Issue 7

2021 April-1 - 96 articles

Cover Story: Precisely 200 years ago, on 16 May 1821, the outstanding Russian mathematician, Pafnuty Lvovich Chebyshev, was born. Since their discovery, the classical orthogonal Chebyshev–Hermite polynomials have found applications in many fields. Chebyshev (1890) and Edgeworth (1905) conceived the idea of expanding a distribution function, the basis of asymptotic statistics. Random-sized samples have been studied. View this paper.
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Articles (96)

  • Article
  • Open Access
22 Citations
4,182 Views
16 Pages

Artificial Neural Network, Quantile and Semi-Log Regression Modelling of Mass Appraisal in Housing

  • Jose Torres-Pruñonosa,
  • Pablo García-Estévez and
  • Camilo Prado-Román

6 April 2021

We used a large sample of 188,652 properties, which represented 4.88% of the total housing stock in Catalonia from 1994 to 2013, to make a comparison between different real estate valuation methods based on artificial neural networks (ANNs), quantile...

  • Article
  • Open Access
14 Citations
3,411 Views
17 Pages

Automatic Tempered Posterior Distributions for Bayesian Inversion Problems

  • Luca Martino,
  • Fernando Llorente,
  • Ernesto Curbelo,
  • Javier López-Santiago and
  • Joaquín Míguez

6 April 2021

We propose a novel adaptive importance sampling scheme for Bayesian inversion problems where the inference of the variables of interest and the power of the data noise are carried out using distinct (but interacting) methods. More specifically, we co...

  • Article
  • Open Access
3 Citations
3,000 Views
10 Pages

6 April 2021

A class of bivariate infinite series solutions of the elliptic and hyperbolic Kepler equations is described, adding to the handful of 1-D series that have been found throughout the centuries. This result is based on an iterative procedure for the ana...

  • Article
  • Open Access
4 Citations
2,658 Views
24 Pages

A General Framework for Mixed and Incomplete Data Clustering Based on Swarm Intelligence Algorithms

  • Yenny Villuendas-Rey,
  • Eley Barroso-Cubas,
  • Oscar Camacho-Nieto and
  • Cornelio Yáñez-Márquez

6 April 2021

Swarm intelligence has appeared as an active field for solving numerous machine-learning tasks. In this paper, we address the problem of clustering data with missing values, where the patterns are described by mixed (or hybrid) features. We introduce...

  • Article
  • Open Access
12 Citations
3,068 Views
19 Pages

6 April 2021

This paper investigates a supply chain consisting of a single risk-neutral supplier and a single risk-averse retailer with the call option contract and a service requirement, where the retailer’s objective is to maximize the Conditional Value-at-Risk...

  • Article
  • Open Access
45 Citations
13,123 Views
20 Pages

An Exhaustive Power Comparison of Normality Tests

  • Jurgita Arnastauskaitė,
  • Tomas Ruzgas and
  • Mindaugas Bražėnas

6 April 2021

A goodness-of-fit test is a frequently used modern statistics tool. However, it is still unclear what the most reliable approach is to check assumptions about data set normality. A particular data set (especially with a small number of observations)...

  • Article
  • Open Access
3 Citations
3,876 Views
17 Pages

An Application of p-Fibonacci Error-Correcting Codes to Cryptography

  • Emanuele Bellini,
  • Chiara Marcolla and
  • Nadir Murru

6 April 2021

In addition to their usefulness in proving one’s identity electronically, identification protocols based on zero-knowledge proofs allow designing secure cryptographic signature schemes by means of the Fiat–Shamir transform or other similar constructs...

  • Article
  • Open Access
7 Citations
3,611 Views
15 Pages

6 April 2021

Fractional calculus-based differential equations were found by previous studies to be promising tools in simulating local-scale anomalous diffusion for pollutants transport in natural geological media (geomedia), but efficient models are still needed...

  • Article
  • Open Access
5 Citations
3,624 Views
27 Pages

6 April 2021

Healthcare professionals (HCPs) often suffer high levels of depression, stress, anxiety and burnout. Our main study aimswereto estimate the prevalences of poor self-perceived health, life dissatisfaction, chronic disease and unhealthy habits among HC...

  • Article
  • Open Access
7 Citations
2,909 Views
14 Pages

5 April 2021

A tropical ball is a ball defined by the tropical metric over the tropical projective torus. In this paper we show several properties of tropical balls over the tropical projective torus and also over the space of phylogenetic trees with a given set...

  • Article
  • Open Access
4 Citations
2,296 Views
9 Pages

5 April 2021

Our purpose is to study a space Π of centered m-planes in n-projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space Π are set in the generalized fiberings. Fields of...

  • Article
  • Open Access
56 Citations
7,557 Views
20 Pages

Mexican Axolotl Optimization: A Novel Bioinspired Heuristic

  • Yenny Villuendas-Rey,
  • José L. Velázquez-Rodríguez,
  • Mariana Dayanara Alanis-Tamez,
  • Marco-Antonio Moreno-Ibarra and
  • Cornelio Yáñez-Márquez

3 April 2021

When facing certain problems in science, engineering or technology, it is not enough to find a solution, but it is essential to seek and find the best possible solution through optimization. In many cases the exact optimization procedures are not app...

  • Article
  • Open Access
3,006 Views
17 Pages

The Markovian Pattern of Social Deprivation for Mexicans with Diabetes

  • José Carlos Ramírez,
  • Francisco Ortiz-Arango and
  • Leovardo Mata

3 April 2021

This paper aims to determine the Markovian pattern of the factors influencing social deprivation in Mexicans with Type 2 diabetes mellitus (DM2). To this end, we develop a methodology to meet the theoretical and practical considerations involved in a...

  • Article
  • Open Access
5 Citations
3,544 Views
19 Pages

Extended Fuzzy Sets and Their Applications

  • Bahram Farhadinia and
  • Francisco Chiclana

2 April 2021

This contribution deals with introducing the innovative concept of extended fuzzy set (E-FS), in which the S-norm function of membership and non-membership grades is less than or equal to one. The proposed concept not only encompasses the concept of...

  • Article
  • Open Access
44 Citations
12,074 Views
17 Pages

2 April 2021

Genomic profiles of cancer patients such as gene expression have become a major source to predict responses to drugs in the era of personalized medicine. As large-scale drug screening data with cancer cell lines are available, a number of computation...

  • Article
  • Open Access
10 Citations
3,598 Views
15 Pages

Combining Classification and User-Based Collaborative Filtering for Matching Footwear Size

  • Aleix Alcacer,
  • Irene Epifanio,
  • Jorge Valero and
  • Alfredo Ballester

2 April 2021

Size mismatch is a serious problem in online footwear purchase because size mismatch implies an almost sure return. Not only foot measurements are important in selecting a size, but also user preference. This is the reason we propose several methodol...

  • Article
  • Open Access
6 Citations
3,348 Views
16 Pages

Identification of Inertial Parameters for Position and Force Control of Surgical Assistance Robots

  • Pau Zamora-Ortiz,
  • Javier Carral-Alvaro,
  • Ángel Valera,
  • José L. Pulloquinga,
  • Rafael J. Escarabajal and
  • Vicente Mata

2 April 2021

Surgeries or rehabilitation exercises are hazardous tasks for a mechanical system, as the device has to interact with parts of the human body without the hands-on experience that the surgeon or physiotherapist acquires over time. For various gynecolo...

  • Article
  • Open Access
5 Citations
2,506 Views
25 Pages

2 April 2021

In this work, the existence and nonexistence of stationary radial solutions to the elliptic partial differential equation arising in the molecular beam epitaxy are studied. Since we are interested in radial solutions, we focus on the fourth-order sin...

  • Article
  • Open Access
2 Citations
3,481 Views
28 Pages

2 April 2021

Second-order Chebyshev–Edgeworth expansions are derived for various statistics from samples with random sample sizes, where the asymptotic laws are scale mixtures of the standard normal or chi-square distributions with scale mixing gamma or inverse e...

  • Article
  • Open Access
9 Citations
3,998 Views
28 Pages

2 April 2021

A method of the Riemann–Hilbert problem is applied for Zhang’s conjecture 1 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in the zero external field and the solution to the Zhang’s conjecture 1 is const...

  • Article
  • Open Access
10 Citations
3,368 Views
17 Pages

Fuzzy Techniques Applied to the Analysis of the Causes and Effects of Tourism Competitiveness

  • Martha B. Flores-Romero,
  • Miriam E. Pérez-Romero,
  • José Álvarez-García and
  • María de la Cruz del Río-Rama

2 April 2021

The aim of this research is to identify and analyze the causes and effects of tourism competitiveness, as well as cause–effect relationships from the perspective of two groups of experts, which are decision makers versus academics/researchers, both f...

  • Article
  • Open Access
6 Citations
3,541 Views
18 Pages

2 April 2021

The reasonable distribution of supply chain profits among supply chain members is the core of the stability of a supply chain. Manufacturer rebates are a normal method to improve the performance of a supply chain and balance profit distribution. Base...

  • Article
  • Open Access
6 Citations
1,918 Views
22 Pages

1 April 2021

We study the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with sequential derivatives, positive parameters and sign-changing singular nonlinearities, subject to nonlocal coupled...

  • Article
  • Open Access
5 Citations
2,869 Views
15 Pages

1 April 2021

One class of cooperative differential games on networks is considered. It is assumed that interaction on the network is possible not only between neighboring players, but also between players connected by paths. Various cooperative optimality princip...

  • Article
  • Open Access
21 Citations
4,261 Views
12 Pages

A Code for Simulating Heat Transfer in Turbulent Channel Flow

  • Federico Lluesma-Rodríguez,
  • Francisco Álcantara-Ávila,
  • María Jezabel Pérez-Quiles and
  • Sergio Hoyas

1 April 2021

One numerical method was designed to solve the time-dependent, three-dimensional, incompressible Navier–Stokes equations in turbulent thermal channel flows. Its originality lies in the use of several well-known methods to discretize the problem and i...

  • Article
  • Open Access
8 Citations
2,838 Views
16 Pages

1 April 2021

In this work, we began to take forward kinematics of the Gough–Stewart (G-S) platform as an unconstrained optimization problem on the Lie group-structured manifold SE(3) instead of simply relaxing its intrinsic orthogonal constraint when algorithms a...

  • Article
  • Open Access
22 Citations
2,885 Views
18 Pages

1 April 2021

Fuzzy systems have become a good solution to the problem of fixed parameters in metaheuristic algorithms, proving their efficiency when performing dynamic parameter adaptations using type-1 and type-2 fuzzy logic. However, the computational cost of t...

  • Article
  • Open Access
11 Citations
3,806 Views
16 Pages

1 April 2021

In this paper, the speed tracking problem of the interior permanent magnet synchronous motor (IPMSM) of an electric vehicle is studied. A cascade speed control strategy based on active disturbance rejection control (ADRC) and a current control strate...

  • Article
  • Open Access
3 Citations
3,189 Views
12 Pages

Study of Reversible Platelet Aggregation Model by Nonlinear Dynamics

  • Grigorii A. Vasilev,
  • Aleksandra A. Filkova and
  • Anastasia N. Sveshnikova

1 April 2021

Blood cell platelets form aggregates upon vessel wall injury. Under certain conditions, a disintegration of the platelet aggregates, called “reversible aggregation”, is observed in vitro. Previously, we have proposed an extremely simple (two equation...

  • Article
  • Open Access
5 Citations
2,866 Views
21 Pages

1 April 2021

Let Z(s)=(Z1(s),,Zp(s))t be an isotropic second-order stationary multivariate spatial process. We measure the statistical association between the p random components of Z with the correlation coefficients and measure the spatial dependence with vari...

  • Article
  • Open Access
2 Citations
2,974 Views
43 Pages

1 April 2021

The aim of this paper is to show time-decay estimates of solutions to linearized two-phase Navier-Stokes equations with surface tension and gravity. The original two-phase Navier-Stokes equations describe the two-phase incompressible viscous flow wit...

  • Article
  • Open Access
2 Citations
2,147 Views
14 Pages

1 April 2021

In this paper, we investigate the adaptive state-quantized control problem of uncertain lower-triangular systems with input delay. It is assumed that all state variables are quantized for the feedback control design. The error transformation method u...

  • Article
  • Open Access
5 Citations
3,931 Views
9 Pages

1 April 2021

The aim of this paper is to provide a suitable definition for the concept of fuzzy inner product space. In order to achieve this, we firstly focused on various approaches from the already-existent literature. Due to the emergence of various studies o...

  • Article
  • Open Access
9 Citations
3,028 Views
12 Pages

The Size, Multipartite Ramsey Numbers for nK2 Versus Path–Path and Cycle

  • Yaser Rowshan,
  • Mostafa Gholami and
  • Stanford Shateyi

1 April 2021

For given graphs G1,G2,,Gn and any integer j, the size of the multipartite Ramsey number mj(G1,G2,,Gn) is the smallest positive integer t such that any n-coloring of the edges of Kj×t contains a monochromatic copy of Gi in color i for some i, 1in...

  • Article
  • Open Access
2 Citations
2,484 Views
12 Pages

A Concretization of an Approximation Method for Non-Affine Fractal Interpolation Functions

  • Alexandra Băicoianu,
  • Cristina Maria Păcurar and
  • Marius Păun

1 April 2021

The present paper concretizes the models proposed by S. Ri and N. Secelean. S. Ri proposed the construction of the fractal interpolation function (FIF) considering finite systems consisting of Rakotch contractions, but produced no concretization of t...

  • Article
  • Open Access
12 Citations
5,362 Views
20 Pages

1 April 2021

The unrelated parallel machine scheduling problem aims to assign jobs to independent machines with sequence-dependent setup times so that the makespan is minimized. When many practical considerations are introduced, solving the resulting problem is c...

  • Article
  • Open Access
10 Citations
3,979 Views
13 Pages

Modelling an Industrial Robot and Its Impact on Productivity

  • Carlos Llopis-Albert,
  • Francisco Rubio and
  • Francisco Valero

1 April 2021

This research aims to design an efficient algorithm leading to an improvement of productivity by posing a multi-objective optimization, in which both the time consumed to carry out scheduled tasks and the associated costs of the autonomous industrial...

  • Article
  • Open Access
8 Citations
2,931 Views
16 Pages

1 April 2021

Artificial neural networks (ANNs) are a valid alternative predictive method to the traditional statistical techniques currently used in many research fields where a massive amount of data is challenging to manage. In environmental analysis, ANNs can...

  • Article
  • Open Access
1 Citations
2,323 Views
19 Pages

Metaheuristic to Optimize Computational Convergence in Convection-Diffusion and Driven-Cavity Problems

  • Juana Enríquez-Urbano,
  • Marco Antonio Cruz-Chávez,
  • Rafael Rivera-López,
  • Martín H. Cruz-Rosales,
  • Yainier Labrada-Nueva and
  • Marta Lilia Eraña-Díaz

31 March 2021

This work presents an optimization proposal to better the computational convergence time in convection-diffusion and driven-cavity problems by applying a simulated annealing (SA) metaheuristic, obtaining optimal values in relaxation factors (RF) that...

  • Article
  • Open Access
48 Citations
11,640 Views
22 Pages

31 March 2021

This paper proposes different classification algorithms—logistic regression, support vector machine, K-nearest neighbors, and random forest—in order to identify which candidates are likely to default for a credit scoring model. Three different featur...

  • Article
  • Open Access
38 Citations
4,881 Views
27 Pages

A Continuous Review Production-Inventory System with a Variable Preparation Time in a Fuzzy Random Environment

  • Amalendu Singha Mahapatra,
  • Hardik N Soni,
  • Maheswar Singha Mahapatra,
  • Biswajit Sarkar and
  • Sanat Majumder

31 March 2021

With the increase in the varieties products and the increasing uncertainty about product demand, the production preparation time is a significant factor in addressing these issues. The trade-off between the reduction of the production preparation tim...

  • Article
  • Open Access
10 Citations
4,013 Views
19 Pages

31 March 2021

Fixed and moving boundary problems for the one-dimensional heat equation are considered. A unified approach to solving such problems is proposed by embedding a given initial-boundary value problem into an appropriate initial value problem on the real...

  • Article
  • Open Access
3 Citations
2,991 Views
11 Pages

31 March 2021

We model day-ahead electricity prices of the UK power market using skew generalized error distribution. This distribution allows us to take into account the features of asymmetry, heavy tails, and a peak higher than in normal or Student’s t distribut...

  • Article
  • Open Access
152 Citations
10,961 Views
35 Pages

A Consolidated Decision Tree-Based Intrusion Detection System for Binary and Multiclass Imbalanced Datasets

  • Ranjit Panigrahi,
  • Samarjeet Borah,
  • Akash Kumar Bhoi,
  • Muhammad Fazal Ijaz,
  • Moumita Pramanik,
  • Yogesh Kumar and
  • Rutvij H. Jhaveri

31 March 2021

The widespread acceptance and increase of the Internet and mobile technologies have revolutionized our existence. On the other hand, the world is witnessing and suffering due to technologically aided crime methods. These threats, including but not li...

  • Article
  • Open Access
15 Citations
8,367 Views
21 Pages

31 March 2021

Since the late 1960s, a reform in mathematics education, which is currently known under the name Realistic Mathematics Education (RME), has been taking place in the Netherlands. Characteristic for this approach to mathematics education is that mathem...

  • Article
  • Open Access
1 Citations
2,264 Views
11 Pages

31 March 2021

Kinetic models of aggregation and dissolution of clusters in disordered heterogeneous materials based on subdiffusive equations containing fractional derivatives are studied. Using the generalized fractional Fick law and fractional Fokker–Planck equa...

  • Article
  • Open Access
9 Citations
3,020 Views
18 Pages

Aluminium Parts Casting Scheduling Based on Simulated Annealing

  • Antonio Jiménez-Martín,
  • Alfonso Mateos and
  • Josefa Z. Hernández

31 March 2021

This paper focuses on the last stage of the aluminium production process in the context of Industry 4.0: schedule optimization in the casting process. Casting is one of the oldest manufacturing processes in which a liquid material is usually poured i...

  • Article
  • Open Access
5 Citations
5,154 Views
25 Pages

31 March 2021

The volatility of asset returns can be classified into market and firm-specific volatility, otherwise known as idiosyncratic volatility. Idiosyncratic volatility is increasing over time with some literature attributing this to the IT revolution. An u...

  • Article
  • Open Access
17 Citations
9,329 Views
40 Pages

31 March 2021

In this paper, we develop a review of the research focused on the teaching and learning of ordinary differential equations with the following three purposes: to get an overview of the existing literature of the topic, to contribute to the integration...

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Mathematics - ISSN 2227-7390