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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
4,642 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...

(This article belongs to the Special Issue Statistical Data Modeling and Machine Learning with Applications)
  • Article
  • Open Access
14 Citations
3,711 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...

(This article belongs to the Special Issue Recent Advances in Data Science)
  • Article
  • Open Access
4 Citations
3,425 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
2,897 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...

(This article belongs to the Special Issue Swarm and Evolutionary Computation—Bridging Theory and Practice)
  • Article
  • Open Access
12 Citations
3,467 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
57 Citations
14,617 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)...

(This article belongs to the Special Issue Probability, Statistics and Their Applications 2021)
  • Article
  • Open Access
4 Citations
4,297 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...

(This article belongs to the Special Issue Algebra and Number Theory)
  • Article
  • Open Access
7 Citations
4,280 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...

(This article belongs to the Special Issue Fractional Calculus in Anomalous Transport Theory)
  • Article
  • Open Access
7 Citations
4,135 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...

(This article belongs to the Special Issue Methods and Applications of Statistics in the Social and Health Sciences)
  • Article
  • Open Access
7 Citations
3,253 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...

(This article belongs to the Special Issue Mathematics in Biomedicine)
  • Article
  • Open Access
4 Citations
2,691 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...

(This article belongs to the Special Issue Differential Geometry of Spaces with Special Structures)
  • Article
  • Open Access
62 Citations
8,434 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...

(This article belongs to the Special Issue Bioinspired Computation: Recent Advances in Theory and Applications)
  • Article
  • Open Access
3,227 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...

(This article belongs to the Special Issue Markov-Chain Modelling and Applications)
  • Article
  • Open Access
6 Citations
3,824 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...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
51 Citations
13,030 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...

(This article belongs to the Special Issue Fuzzy Sets and Soft Computing)
  • Article
  • Open Access
11 Citations
4,004 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
7 Citations
3,657 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...

(This article belongs to the Special Issue Mathematical Problems in Mechanical Engineering)
  • Article
  • Open Access
7 Citations
2,736 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...

(This article belongs to the Special Issue New Trends on Boundary Value Problems)
  • Article
  • Open Access
2 Citations
3,802 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...

(This article belongs to the Special Issue Analytical Methods and Convergence in Probability with Applications)
  • Article
  • Open Access
11 Citations
4,547 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
11 Citations
3,724 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...

(This article belongs to the Special Issue Fuzzy Sets in Business Management, Finance, and Economics)
  • Article
  • Open Access
7 Citations
4,038 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
2,047 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
7 Citations
3,171 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...

(This article belongs to the Special Issue Mathematical Game Theory 2021)
  • Article
  • Open Access
26 Citations
4,700 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...

(This article belongs to the Special Issue On Interdisciplinary Modelling and Numerical Simulation in the Realm of Physics & Engineering)
  • Article
  • Open Access
10 Citations
3,137 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...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
22 Citations
3,102 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
4,187 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...

(This article belongs to the Special Issue Model Predictive Control and Optimization for Cyber-Physical Systems)
  • Article
  • Open Access
4 Citations
3,435 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...

(This article belongs to the Special Issue Mathematics in Biomedicine)
  • Article
  • Open Access
6 Citations
3,327 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...

(This article belongs to the Special Issue Methodological and Applied Contributions on Stochastic Modelling and Forecasting)
  • Article
  • Open Access
2 Citations
3,424 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...

(This article belongs to the Special Issue Maximal Regularity, Stability Estimates and Mathematical Fluid Dynamics)
  • Article
  • Open Access
2 Citations
2,532 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
4,407 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...

(This article belongs to the Special Issue Fuzzy Logic and Soft Computing – Dedicated to the Centenary of the Birth of Lotfi A. Zadeh (1921-2017))
  • Article
  • Open Access
9 Citations
3,406 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...

(This article belongs to the Special Issue Advances in Discrete Applied Mathematics and Graph Theory)
  • Article
  • Open Access
2 Citations
2,658 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
14 Citations
6,036 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...

(This article belongs to the Special Issue Theoretical and Computational Research in Various Scheduling Models)
  • Article
  • Open Access
10 Citations
4,284 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...

(This article belongs to the Special Issue Mathematical Problems in Mechanical Engineering)
  • Article
  • Open Access
9 Citations
3,199 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
2 Citations
2,478 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...

(This article belongs to the Special Issue Fractional Calculus in Anomalous Transport Theory)
  • Article
  • Open Access
9 Citations
3,291 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...

(This article belongs to the Special Issue Recent Advances and Applications in Multi-Criteria Decision Analysis)
  • Article
  • Open Access
5 Citations
6,185 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...

(This article belongs to the Special Issue Markov-Chain Modelling and Applications)
  • Article
  • Open Access
21 Citations
10,367 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...

(This article belongs to the Special Issue Active Methodologies for the Promotion of Mathematical Learning)
  • Article
  • Open Access
2 Citations
2,902 Views
24 Pages

31 March 2021

In this paper, using the concept of Bregman distance, we introduce a new Bregman subgradient extragradient method for solving equilibrium and common fixed point problems in a real reflexive Banach space. The algorithm is designed, such that the steps...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
  • Article
  • Open Access
6 Citations
2,850 Views
19 Pages

31 March 2021

An RNA bi-structure is a pair of RNA secondary structures that are considered as arc-diagrams. We present a novel weighted homology theory for RNA bi-structures, which was obtained through the intersections of loops. The weighted homology of the inte...

(This article belongs to the Section A: Algebra and Logic)
  • Article
  • Open Access
1 Citations
2,502 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...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
52 Citations
12,879 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...

(This article belongs to the Special Issue Mathematics and Mathematical Physics Applied to Financial Markets)
  • Article
  • Open Access
38 Citations
5,261 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
11 Citations
4,590 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...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
3 Citations
3,344 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...

(This article belongs to the Special Issue Volatility Models Applied to Geophysics, Financial Market Data and Other Disciplines)

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Mathematics - ISSN 2227-7390