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Mathematics, Volume 9, Issue 13

2021 July-1 - 128 articles

Cover Story: A model of a layered, hierarchically constructed composite is presented, the structure of which demonstrates the properties of similarity at different scales. For the proposed model of the composite, fractal analysis was carried out, including an assessment of the permissible range of scales, calculation of fractal capacity, Hausdorff and Minkovsky dimensions, and calculation of the Hurst exponent. The maximum and minimum sizes at which fractal properties are observed are investigated, and a quantitative assessment of the complexity of the proposed model is carried out. A software package is developed that allows one to calculate the fractal characteristics of hierarchically constructed composite media. A qualitative analysis of the calculated fractal characteristics is also carried out. View this paper
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Articles (128)

  • Article
  • Open Access
17 Citations
5,365 Views
23 Pages

5 July 2021

In this paper, an approach based on genetic algorithms is proposed to form groups in collaborative learning scenarios, considering the students’ personality traits as a criterion for grouping. This formation is carried out in two stages: In the first...

(This article belongs to the Special Issue Advances in Artificial Intelligence and Statistical Techniques with Applications to Health and Education)
  • Article
  • Open Access
27 Citations
7,554 Views
16 Pages

5 July 2021

International large-scale assessments (ILSAs) provide several measures as a representation of educational outcomes, the so-called plausible values, which are frequently interpreted as a representation of the ability range of students. In this paper,...

(This article belongs to the Special Issue Economics of Education: Quantitative Methods for Educational Policies)
  • Article
  • Open Access
5 Citations
3,142 Views
9 Pages

5 July 2021

In this paper, we propose a new calculation method for the regularization factor in sparse recursive least squares (SRLS) with l1-norm penalty. The proposed regularization factor requires no prior knowledge of the actual system impulse response, and...

(This article belongs to the Special Issue Advances in Computational and Applied Mathematics)
  • Article
  • Open Access
7 Citations
4,290 Views
17 Pages

Hybrid Optimization Based Mathematical Procedure for Dimensional Synthesis of Slider-Crank Linkage

  • Alfonso Hernández,
  • Aitor Muñoyerro,
  • Mónica Urízar and
  • Enrique Amezua

5 July 2021

In this paper, an optimization procedure for path generation synthesis of the slider-crank mechanism will be presented. The proposed approach is based on a hybrid strategy, mixing local and global optimization techniques. Regarding the local optimiza...

(This article belongs to the Special Issue Applied Mathematics to Mechanisms and Machines)
  • Article
  • Open Access
16 Citations
5,223 Views
15 Pages

Numerical Modeling of Face Shield Protection against a Sneeze

  • Ainara Ugarte-Anero,
  • Unai Fernandez-Gamiz,
  • Iñigo Aramendia,
  • Ekaitz Zulueta and
  • Jose Manuel Lopez-Guede

5 July 2021

The protection provided by wearing masks has been a guideline worldwide to prevent the risk of COVID-19 infection. The current work presents an investigation that analyzes the effectiveness of face shields as personal protective equipment. To that en...

(This article belongs to the Special Issue Computational Mechanics in Engineering Mathematics)
  • Feature Paper
  • Article
  • Open Access
5 Citations
2,961 Views
8 Pages

4 July 2021

We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence...

(This article belongs to the Special Issue Analytical Methods and Convergence in Probability with Applications)
  • Article
  • Open Access
15 Citations
7,374 Views
44 Pages

4 July 2021

A matheuristic approach based on a reduced two-stage Stochastic Integer Linear Programming (SILP) model is presented. The proposed approach is suitable for obtaining a policy constructed dynamically on the go during the rollout algorithm. The rollout...

(This article belongs to the Special Issue Mathematical Models and Exact and Heuristic Algorithms for Solving Complex Optimization Problems)
  • Article
  • Open Access
11 Citations
2,976 Views
28 Pages

4 July 2021

This article deals with the general linearization problem of Jacobi polynomials. We provide two approaches for finding closed analytical forms of the linearization coefficients of these polynomials. The first approach is built on establishing a new f...

(This article belongs to the Special Issue Polynomial Sequences and Their Applications)
  • Article
  • Open Access
24 Citations
5,193 Views
14 Pages

4 July 2021

Automated diagnosis systems aim to reduce the cost of diagnosis while maintaining the same efficiency. Many methods have been used for breast cancer subtype classification. Some use single data source, while others integrate many data sources, the ca...

(This article belongs to the Special Issue Statistical Data Modeling and Machine Learning with Applications)
  • Article
  • Open Access
2 Citations
2,706 Views
19 Pages

4 July 2021

Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for decision makers in order to select the optimal alternative under an uncertain environment. Currently, there are three int...

(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
116 Citations
24,804 Views
21 Pages

4 July 2021

Live-stream shopping is developing rapidly, but the sales levels of live streaming products vary by different hosts. How to increase the sales volume of live streaming products has become a problem. Consumers’ purchase behavior in live streaming is d...

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

An Embedding Strategy Using Q-Ary Convolutional Codes for Large and Small Payloads

  • Jyun-Jie Wang,
  • Chi-Yuan Lin,
  • Sheng-Chih Yang,
  • Hsi-Yuan Chang and
  • Yin-Chen Lin

4 July 2021

Matrix embedding (ME) code is a commonly used steganography technique, which uses linear block codes to improve embedding efficiency. However, its main disadvantage is the inability to perform maximum likelihood decoding due to the high complexity of...

  • Article
  • Open Access
1 Citations
2,774 Views
11 Pages

3 July 2021

An important problem in low dimensional topology is to understand the properties of embedded or immersed surfaces in 4-dimensional manifolds. In this article, we estimate the lower genus bound of closed, connected, smoothly embedded, oriented surface...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
11 Citations
5,176 Views
22 Pages

3 July 2021

Several variants of the SARS-CoV-2 virus have been detected during the COVID-19 pandemic. Some of these new variants have been of health public concern due to their higher infectiousness. We propose a theoretical mathematical model based on different...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
3 Citations
4,694 Views
11 Pages

SIAM—Colombia MMC: A Challenge-Based Math Modeling Learning Strategy

  • Rafael Alberto Méndez-Romero,
  • Diana H. Bueno-Carreño,
  • Carlos Díez-Fonnegra and
  • Johan Manuel Redondo

3 July 2021

The math modeling challenge CoSIAM is a competition based on interdisciplinary collaborative work challenges. This research seeks to demonstrate the value of this type of challenge-based competition as a learning strategy outside the classroom. Based...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
9 Citations
6,214 Views
15 Pages

3 July 2021

Graph theory is a powerful representation and problem-solving tool, but it is not included in present curriculum at school levels. In this study we perform a didactic proposal based in graph theory, to provide students useful and motivational tools f...

(This article belongs to the Special Issue Research on Powerful Ideas for Enriching School Mathematical Learning)
  • Feature Paper
  • Article
  • Open Access
2,383 Views
11 Pages

3 July 2021

Let F=Fθ:θ∈Θ⊂R be a family of probability distributions indexed by a parameter θ and let X1,⋯,Xn be i.i.d. r.v.’s with L(X1)=Fθ∈F. Then, F is said to be reproducible if for all θ∈Θ and n∈N, there exists a sequence (αn)n≥1 and a mapping gn:Θ→Θ,θ⟼gn(θ)...

(This article belongs to the Special Issue Advances in Applications of Probability Theory and Stochastic Processes)
  • Article
  • Open Access
4 Citations
3,752 Views
16 Pages

A Tool for the Analysis and Characterization of School Mathematical Models

  • Jesús Montejo-Gámez,
  • Elvira Fernández-Ahumada and
  • Natividad Adamuz-Povedano

3 July 2021

This paper shows a tool for the analysis of written productions that allows for the characterization of the mathematical models that students develop when solving modeling tasks. For this purpose, different conceptualizations of mathematical models i...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
5 Citations
3,843 Views
20 Pages

A Robust Approach for Identifying the Major Components of the Bribery Tolerance Index

  • Daniel Homocianu,
  • Aurelian-Petruș Plopeanu and
  • Rodica Ianole-Calin

3 July 2021

The paper aims to emphasize the advantages of several advanced statistical and data mining techniques when applied to the dense literature on corruption measurements and determinants. For this purpose, we used all seven waves of the World Values Surv...

  • Feature Paper
  • Article
  • Open Access
6 Citations
3,820 Views
18 Pages

3 July 2021

The behavior of all the solutions of the logistic equation with delay and diffusion in a sufficiently small positive neighborhood of the equilibrium state is studied. It is assumed that the Andronov–Hopf bifurcation conditions are met for the coeffic...

(This article belongs to the Special Issue Recent Advances in Differential Equations and Applications)
  • Article
  • Open Access
23 Citations
4,168 Views
15 Pages

Selecting Bloggers for Hotels via an Innovative Mixed MCDM Model

  • Jung-Fa Tsai,
  • Chin-Po Wang,
  • Kuei-Lun Chang and
  • Yi-Chung Hu

2 July 2021

The global coronavirus disease 2019 (COVID-19) outbreak had a great impact on the tourism industry. Numerous hotels have ceased operations. Because of the increasing influence of blogs, various industries have adopted blogs as a publicity and marketi...

(This article belongs to the Special Issue Multicriteria Decision Making and the Analytic Hierarchy Process)
  • Article
  • Open Access
7 Citations
2,946 Views
20 Pages

2 July 2021

A typical characteristic of bimodular material beams is that when bending, the neutral layer of the beam does not coincide with its geometric middle surface since the mechanical properties of materials in tension and compression are different. In the...

(This article belongs to the Special Issue Applied Mathematics and Solid Mechanics)
  • Article
  • Open Access
12 Citations
3,749 Views
8 Pages

A Compact Octa-Band Frequency Reconfigurable Antenna for Wireless Applications

  • Adnan Ghaffar,
  • Wahaj Abbas Awan,
  • Niamat Hussain and
  • Xue-Jun Li

2 July 2021

This paper presents the design and realization of a compact frequency reconfigurable antenna for multiband wireless applications. The antenna can operate at overall eight different bands in four dual-band modes. A slot in the radiator and defected gr...

(This article belongs to the Special Issue Evolutionary Optimization Algorithms for Electromagnetic Devices)
  • Article
  • Open Access
38 Citations
6,572 Views
13 Pages

Modeling COVID-19 Cases Statistically and Evaluating Their Effect on the Economy of Countries

  • Hanns de la Fuente-Mella,
  • Rolando Rubilar,
  • Karime Chahuán-Jiménez and
  • Víctor Leiva

2 July 2021

COVID-19 infections have plagued the world and led to deaths with a heavy pneumonia manifestation. The main objective of this investigation is to evaluate the performance of certain economies during the crisis derived from the COVID-19 pandemic. The...

(This article belongs to the Special Issue Machine Learning and Statistical Modeling with Applications in Real-World Data and Artificial Intelligence)
  • Article
  • Open Access
15 Citations
3,195 Views
17 Pages

Case-Based Reasoning for Hidden Property Analysis of Judgment Debtors

  • Huirong Zhang,
  • Zhenyu Zhang,
  • Lixin Zhou and
  • Shuangsheng Wu

2 July 2021

Many judgment debtors try to evade, confront, and delay law enforcement using concealing and transferring their property to resist law enforcement in China. The act of hiding property seriously affects people’s legitimate rights and interests and Chi...

(This article belongs to the Special Issue Applications of Fuzzy Optimization and Fuzzy Decision Making)
  • Article
  • Open Access
6 Citations
3,384 Views
26 Pages

2 July 2021

This work analyzes the response of the electricity market to varied renewable and nonrenewable installed capacity scenarios while taking into account the variability of renewables due to seasonality and El Niño-Southern Oscillation (ENSO) episodes. A...

(This article belongs to the Special Issue Mathematical Methods in Renewable Energies)
  • Article
  • Open Access
5 Citations
2,919 Views
22 Pages

2 July 2021

For this paper, we are interested in network formation of endothelial cells. Randomly distributed endothelial cells converge together to create a vascular system. To develop a mathematical model, we make assumptions on individual cell movement, leadi...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
3 Citations
2,924 Views
20 Pages

2 July 2021

For the past few decades, various algorithms have been proposed to solve convex minimization problems in the form of the sum of two lower semicontinuous and convex functions. The convergence of these algorithms was guaranteed under the L-Lipschitz co...

(This article belongs to the Special Issue Nonlinear Problems and Applications of Fixed Point Theory)
  • Article
  • Open Access
63 Citations
9,898 Views
15 Pages

1 July 2021

To protect environmental sustainability, organizations are moving their focus towards greening the business process. Similarly to any other business function, financial management has also turned to environmentally friendly activities. Green finance...

(This article belongs to the Special Issue Recent Advances in Business and Industry: Mathematical Analysis, Sustainability Assessment Instruments and Methods)
  • Article
  • Open Access
10 Citations
6,148 Views
23 Pages

A Review of Spatiotemporal Models for Count Data in R Packages. A Case Study of COVID-19 Data

  • Maria Victoria Ibañez,
  • Marina Martínez-Garcia and
  • Amelia Simó

1 July 2021

Spatiotemporal models for count data are required in a wide range of scientific fields, and they have become particularly crucial today because of their ability to analyze COVID-19-related data. The main objective of this paper is to present a review...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Review
  • Open Access
10 Citations
4,914 Views
11 Pages

1 July 2021

Grain oriented steels are widely used for electrical machines and components, such as transformers and reactors, due to their high magnetic permeability and low power losses. These outstanding properties are due to the crystalline structure known as...

(This article belongs to the Special Issue Computational Mathematics and Soft Computing Techniques for Non-destructive Testing and Evaluation (NDT/NDE) and Data Fusion)
  • Article
  • Open Access
3 Citations
3,842 Views
21 Pages

1 July 2021

Bin Packing is one of the research areas of Operations Research with many industrial applications, as well as rich theoretical impact. In this article, the authors deal with Bin Packing on the practical side: they consider two Bin Packing Benchmark c...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
12 Citations
3,452 Views
10 Pages

Mathematical Modeling of Layered Nanocomposite of Fractal Structure

  • Sergey Korchagin,
  • Ekaterina Romanova,
  • Denis Serdechnyy,
  • Petr Nikitin,
  • Vitaliy Dolgov and
  • Vadim Feklin

1 July 2021

A model of a layered hierarchically constructed composite is presented, the structure of which demonstrates the properties of similarity at different scales. For the proposed model of the composite, fractal analysis was carried out, including an asse...

(This article belongs to the Special Issue Fractals, Fractional Calculus and Applied Statistics)
  • Article
  • Open Access
5 Citations
3,501 Views
19 Pages

1 July 2021

Flood disasters are the major natural disaster that affects the growth of agriculture and forestry crops. Due to rapid growth and strong waterlogging resistance characteristics, many studies have explained the waterlogging resistance mechanism of pop...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
11 Citations
3,927 Views
23 Pages

1 July 2021

In China, the housing bubble is not only an economic issue but also an important social and political issue. According to game theory, the housing bubble is an equilibrium result of the interaction between policy environment and participants’ behavio...

(This article belongs to the Special Issue Business Games and Numeric Simulations in Economics and Management)
  • Article
  • Open Access
9 Citations
3,470 Views
19 Pages

1 July 2021

In this study, the structural reliability of plate-stiffened prismatic pressure vessels was analyzed over time. A reliability analysis was performed using a time-dependent structural reliability method based on the response surface method (RSM). The...

(This article belongs to the Special Issue Advances in Reliability Modeling, Optimization and Applications)
  • Article
  • Open Access
7 Citations
6,280 Views
12 Pages

Phi-Bonacci Butterfly Stroke Numbers to Assess Self-Similarity in Elite Swimmers

  • Cristiano Maria Verrelli,
  • Cristian Romagnoli,
  • Roxanne Jackson,
  • Ivo Ferretti,
  • Giuseppe Annino and
  • Vincenzo Bonaiuto

1 July 2021

A harmonically self-similar temporal partition, which turns out to be subtly exhibited by elite swimmers at middle distance pace, is formally defined for one of the most technically advanced swimming strokes—the butterfly. This partition relies on th...

(This article belongs to the Special Issue Advanced Numerical Methods in Computational Solid Mechanics)
  • Article
  • Open Access
7 Citations
6,370 Views
9 Pages

1 July 2021

How many fractals exist in nature or the virtual world? In this paper, we partially answer the second question using Mandelbrot’s fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure. We prove the ex...

(This article belongs to the Special Issue Advances in Fractals)
  • Article
  • Open Access
8 Citations
2,395 Views
8 Pages

Gamma Generalization Operators Involving Analytic Functions

  • Qing-Bo Cai,
  • Bayram Çekim and
  • Gürhan İçöz

1 July 2021

In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments. The rate of convergence is given by the Ditzian–Totik first order modu...

  • Article
  • Open Access
6 Citations
2,409 Views
13 Pages

1 July 2021

In our paper, we propose two new iterative algorithms with Meir–Keeler contractions that are based on Tseng’s method, the multi-step inertial method, the hybrid projection method, and the shrinking projection method to solve a monotone variational in...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
  • Article
  • Open Access
1 Citations
3,173 Views
21 Pages

Fractional Order Magnetic Resonance Fingerprinting in the Human Cerebral Cortex

  • Viktor Vegh,
  • Shahrzad Moinian,
  • Qianqian Yang and
  • David C. Reutens

1 July 2021

Mathematical models are becoming increasingly important in magnetic resonance imaging (MRI), as they provide a mechanistic approach for making a link between tissue microstructure and signals acquired using the medical imaging instrument. The Bloch e...

(This article belongs to the Special Issue Fractional Calculus in Magnetic Resonance)
  • Article
  • Open Access
1 Citations
3,483 Views
18 Pages

1 July 2021

With the prominent role of government debt in economic growth in recent decades, one would expect that government debt alongside economic growth to be a risk factor priced in the time series of stock returns. In this paper, this idea is investigated...

(This article belongs to the Special Issue Advances in Multivariate Analysis and Their Applications in Actuarial and Financial Economics)
  • Article
  • Open Access
13 Citations
3,043 Views
20 Pages

1 July 2021

In this paper, a penalty method is used together with a barrier method to transform a constrained nonlinear programming problem into an unconstrained nonlinear programming problem. In the proposed approach, Newton’s method is applied to the barrier K...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
21 Citations
10,322 Views
16 Pages

1 July 2021

The paper is focusing on the problem of price optimization in the area of accommodation services. The main aim is to propose a novel simulation-based methodology of price optimization based on the customer’s price acceptance. The authors create a mod...

(This article belongs to the Special Issue Business Games and Numeric Simulations in Economics and Management)
  • Article
  • Open Access
4 Citations
4,293 Views
21 Pages

1 July 2021

Our main objective was to analyze which paths can lead to the adoption of environmental practices (PRAC) in firms, for which we developed three original alternative research models. Model 1 involves five sources for the adoption of environmental prac...

(This article belongs to the Special Issue Fuzzy Sets in Business Management, Finance, and Economics)
  • Article
  • Open Access
37 Citations
5,428 Views
16 Pages

A New Grey Approach for Using SWARA and PIPRECIA Methods in a Group Decision-Making Environment

  • Dragiša Stanujkić,
  • Darjan Karabašević,
  • Gabrijela Popović,
  • Predrag S. Stanimirović,
  • Muzafer Saračević,
  • Florentin Smarandache,
  • Vasilios N. Katsikis and
  • Alptekin Ulutaş

1 July 2021

The environment in which the decision-making process takes place is often characterized by uncertainty and vagueness and, because of that, sometimes it is very hard to express the criteria weights with crisp numbers. Therefore, the application of the...

(This article belongs to the Special Issue Mathematical Modelling and Hybrid Strategies for Risk and Uncertainty Management)
  • Article
  • Open Access
3 Citations
4,480 Views
15 Pages

Automated Support for Battle Operational–Strategic Decision-Making

  • Gerardo Minguela-Castro,
  • Ruben Heradio and
  • Carlos Cerrada

30 June 2021

Battle casualties are the subject of study in military operations research, which applies mathematical models to quantify the probability of victory vs. loss. In particular, different approaches have been proposed to model the course of battles. Howe...

(This article belongs to the Special Issue Advanced Aspects of Computational Intelligence with Its Applications)
  • Article
  • Open Access
114 Citations
5,493 Views
21 Pages

30 June 2021

In the current article, in the presence of thermal and diffusion processes, the equations governing elastic materials through thermodiffusion are obtained. The Moore–Gibson–Thompson (MGT) equation modifies and defines the equations for thermal conduc...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
5 Citations
3,285 Views
22 Pages

30 June 2021

In this article, a novel infinitely smooth polyharmonic radial basis function (PRBF) collocation method for solving elliptic partial differential equations (PDEs) is presented. The PRBF with natural logarithm is a piecewise smooth function in the con...

(This article belongs to the Special Issue Recent Advances in Differential Equations and Applications)
  • Article
  • Open Access
7 Citations
6,980 Views
25 Pages

Solving the Longest Common Subsequence Problem Concerning Non-Uniform Distributions of Letters in Input Strings

  • Bojan Nikolic,
  • Aleksandar Kartelj,
  • Marko Djukanovic,
  • Milana Grbic,
  • Christian Blum and
  • Günther Raidl

29 June 2021

The longest common subsequence (LCS) problem is a prominent NP–hard optimization problem where, given an arbitrary set of input strings, the aim is to find a longest subsequence, which is common to all input strings. This problem has a variety of app...

(This article belongs to the Section E1: Mathematics and Computer Science)

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Mathematics - ISSN 2227-7390