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Mathematics, Volume 9, Issue 22

2021 November-2 - 153 articles

Cover Story: The problem of multicriteria optimization of a dynamic model is solved using the methods of similarity theory and criteria importance theory. The authors propose an original model of a positional system with two hydraulic actuators, synchronously moving a heavy object with a given accuracy. In order to reduce the number of optimizing parameters, the mathematical model of the system is presented in a dimensionless form. Three dimensionless optimization criteria that characterize the accuracy, size, and quality of the dynamic positioning process are considered. It is shown that the application of the criteria importance method significantly reduces the Pareto set (the set of the best solutions). This opens up the possibility of reducing many optimal solutions to one solution, which greatly facilitates the choice of parameters when designing a mechanical object. View this paper
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Articles (153)

  • Article
  • Open Access
3 Citations
3,420 Views
13 Pages

Automatic Image Characterization of Psoriasis Lesions

  • Javier Martínez-Torres,
  • Alicia Silva Piñeiro,
  • Álvaro Alesanco,
  • Ignacio Pérez-Rey and
  • José García

22 November 2021

Psoriasis is a chronic skin disease that affects 125 million people worldwide and, particularly, 2% of the Spanish population, characterized by the appearance of skin lesions due to a growth of the epidermis that is seven times larger than usual. Its...

(This article belongs to the Special Issue Mathematical Approaches to Image Processing with Applications)
  • Article
  • Open Access
20 Citations
6,464 Views
30 Pages

Professional Development in Mathematics Education—Evaluation of a MOOC on Outdoor Mathematics

  • Eugenia Taranto,
  • Simone Jablonski,
  • Tomas Recio,
  • Christian Mercat,
  • Elisabete Cunha,
  • Claudia Lázaro,
  • Matthias Ludwig and
  • Maria Flavia Mammana

22 November 2021

In this paper, we examine the impact of a massive open online course (MOOC) in the context of outdoor mathematics on the participating teachers’ professional development. We firstly introduce the theoretical background on outdoor mathematics, f...

(This article belongs to the Special Issue STEAM Teacher Education: Problems and Proposals)
  • Article
  • Open Access
2 Citations
3,175 Views
14 Pages

Multimodal Identification Based on Fingerprint and Face Images via a Hetero-Associative Memory Method

  • Qi Han,
  • Heng Yang,
  • Tengfei Weng,
  • Guorong Chen,
  • Jinyuan Liu and
  • Yuan Tian

22 November 2021

Multimodal identification, which exploits biometric information from more than one biometric modality, is more secure and reliable than unimodal identification. Face recognition and fingerprint recognition have received a lot of attention in recent y...

(This article belongs to the Special Issue Modeling and Analysis of Complex Networks)
  • Article
  • Open Access
6 Citations
2,657 Views
12 Pages

22 November 2021

In this paper, we establish the boundedness of the Calderón operator on local Morrey spaces with variable exponents. We obtain our result by extending the extrapolation theory of Rubio de Francia to the local Morrey spaces with variable expone...

(This article belongs to the Special Issue Recent Developments of Function Spaces and Their Applications I)
  • Article
  • Open Access
26 Citations
2,922 Views
14 Pages

22 November 2021

This paper is devoted to derive optimality conditions and duality theorems for interval-valued optimization problems based on gH-symmetrically derivative. Further, the concepts of symmetric pseudo-convexity and symmetric quasi-convexity for interval-...

(This article belongs to the Special Issue Variational Problems and Applications)
  • Article
  • Open Access
18 Citations
3,412 Views
9 Pages

22 November 2021

In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differen...

(This article belongs to the Special Issue Recent Advances in Differential Equations and Applications)
  • Article
  • Open Access
2 Citations
2,959 Views
12 Pages

22 November 2021

This paper first proposes a new and enhanced second order cone programming relaxation using the simultaneous matrix diagonalization technique for the linearly constrained quadratic fractional programming problem. The problem has wide applications in...

  • Article
  • Open Access
10 Citations
3,664 Views
15 Pages

A Novel Hybrid Approach: Instance Weighted Hidden Naive Bayes

  • Liangjun Yu,
  • Shengfeng Gan,
  • Yu Chen and
  • Dechun Luo

22 November 2021

Naive Bayes (NB) is easy to construct but surprisingly effective, and it is one of the top ten classification algorithms in data mining. The conditional independence assumption of NB ignores the dependency between attributes, so its probability estim...

(This article belongs to the Special Issue Machine Learning and Data Mining: Techniques and Tasks)
  • Article
  • Open Access
14 Citations
8,931 Views
20 Pages

Efficient or Fractal Market Hypothesis? A Stock Indexes Modelling Using Geometric Brownian Motion and Geometric Fractional Brownian Motion

  • Vasile Brătian,
  • Ana-Maria Acu,
  • Camelia Oprean-Stan,
  • Emil Dinga and
  • Gabriela-Mariana Ionescu

22 November 2021

In this article, we propose a test of the dynamics of stock market indexes typical of the US and EU capital markets in order to determine which of the two fundamental hypotheses, efficient market hypothesis (EMH) or fractal market hypothesis (FMH), b...

(This article belongs to the Special Issue Advanced Methods in the Mathematical Modeling of Financial Markets)
  • Article
  • Open Access
2 Citations
2,682 Views
9 Pages

22 November 2021

In this paper, we consider the validity of the strong maximum principle for weakly coupled, degenerate and cooperative elliptic systems in a bounded domain. In particular, we are interested in the viscosity solutions of elliptic systems with fully no...

  • Article
  • Open Access
51 Citations
5,253 Views
17 Pages

Ensemble of Deep Learning-Based Multimodal Remote Sensing Image Classification Model on Unmanned Aerial Vehicle Networks

  • Gyanendra Prasad Joshi,
  • Fayadh Alenezi,
  • Gopalakrishnan Thirumoorthy,
  • Ashit Kumar Dutta and
  • Jinsang You

22 November 2021

Recently, unmanned aerial vehicles (UAVs) have been used in several applications of environmental modeling and land use inventories. At the same time, the computer vision-based remote sensing image classification models are needed to monitor the modi...

(This article belongs to the Special Issue Computational Intelligence in Computer Vision and Software Engineering)
  • Article
  • Open Access
3 Citations
3,158 Views
14 Pages

22 November 2021

In the present paper, we propose to study generalized weighted backward shifts BB over non-Archimedean c0(N) spaces; here, B=(bij) is an upper triangular matrix with supi,j|bij|<∞. We investigate the sypercyclic and hypercyclic properties of...

(This article belongs to the Topic Dynamical Systems: Theory and Applications)
  • Article
  • Open Access
5 Citations
4,093 Views
13 Pages

Graph, Spectra, Control and Epidemics: An Example with a SEIR Model

  • Giacomo Aletti,
  • Alessandro Benfenati and
  • Giovanni Naldi

22 November 2021

Networks and graphs offer a suitable and powerful framework for studying the spread of infection in human and animal populations. In the case of a heterogeneous population, the social contact network has a pivotal role in the analysis of directly tra...

(This article belongs to the Special Issue Advances in Differential Dynamical Systems with Applications to Economics and Biology)
  • Article
  • Open Access
11 Citations
5,685 Views
27 Pages

22 November 2021

The negative impact of false information on social networks is rapidly growing. Current research on the topic focused on the detection of fake news in a particular context or event (such as elections) or using data from a short period of time. Theref...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
18 Citations
3,615 Views
17 Pages

22 November 2021

In this paper, we propose an approach to inverse spectral problems for the n-th order (n≥2) ordinary differential operators with distribution coefficients. The inverse problems which consist in the reconstruction of the differential expression coe...

(This article belongs to the Special Issue New Trends on Boundary Value Problems)
  • Article
  • Open Access
2 Citations
5,197 Views
21 Pages

21 November 2021

The purpose of this paper is to investigate the linear stability analysis for the laminar-turbulent transition region of the high-Reynolds-number instabilities for the boundary layer flow on a rotating disk. This investigation considers axial flow al...

(This article belongs to the Special Issue Asymptotics for Differential Equations)
  • Article
  • Open Access
4 Citations
2,981 Views
25 Pages

Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach

  • Amin Taghieh,
  • Ardashir Mohammadzadeh,
  • Jafar Tavoosi,
  • Saleh Mobayen,
  • Thaned Rojsiraphisal,
  • Jihad H. Asad and
  • Anton Zhilenkov

21 November 2021

This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approach...

  • Review
  • Open Access
250 Citations
32,295 Views
52 Pages

Machine Learning (ML) in Medicine: Review, Applications, and Challenges

  • Amir Masoud Rahmani,
  • Efat Yousefpoor,
  • Mohammad Sadegh Yousefpoor,
  • Zahid Mehmood,
  • Amir Haider,
  • Mehdi Hosseinzadeh and
  • Rizwan Ali Naqvi

21 November 2021

Today, artificial intelligence (AI) and machine learning (ML) have dramatically advanced in various industries, especially medicine. AI describes computational programs that mimic and simulate human intelligence, for example, a person’s behavio...

  • Article
  • Open Access
12 Citations
2,524 Views
18 Pages

21 November 2021

Thermoelectric generation systems (TEGSs) are used to convert temperature difference and heat flow into DC power based on the Seebeck theorem. The basic unit of TEGS is the thermoelectric module (TEM). TEGSs have gained increasing interest in the res...

(This article belongs to the Special Issue Bioinspired Intelligent Algorithms for Optimization, Modeling and Control: Theory and Applications)
  • Article
  • Open Access
16 Citations
4,219 Views
38 Pages

21 November 2021

This paper presents a new family of semi-implicit hybrid finite volume/finite element schemes on edge-based staggered meshes for the numerical solution of the incompressible Reynolds-Averaged Navier–Stokes (RANS) equations in combination with t...

(This article belongs to the Special Issue Computational Methods in Nonlinear Analysis and Their Applications)
  • Article
  • Open Access
9 Citations
3,768 Views
17 Pages

21 November 2021

The heat transfer and pressure drop characteristics of R290 flow boiling in a corrugated tube were investigated through computational fluid dynamics (CFD) in this study. We established a model of flow boiling in a corrugated tube with different corru...

(This article belongs to the Special Issue Modeling and Numerical Analysis of Energy and Environment 2021)
  • Article
  • Open Access
44 Citations
10,907 Views
21 Pages

21 November 2021

Although in recent decades corporate social responsibility (CSR) has been subjected to numerous studies in management and marketing literature about its impact on business results, the mechanism by which it affects performance has not been establishe...

(This article belongs to the Special Issue Partial Least Squares Structural Equation Modeling (PLS-SEM) Applications in Economics and Finance)
  • Article
  • Open Access
2 Citations
2,814 Views
19 Pages

On the State Approach Representations of Convolutional Codes over Rings of Modular Integers

  • Ángel Luis Muñoz Castañeda,
  • Noemí DeCastro-García and
  • Miguel V. Carriegos

20 November 2021

In this study, we prove the existence of minimal first-order representations for convolutional codes with the predictable degree property over principal ideal artinian rings. Further, we prove that any such first-order representation leads to an inpu...

(This article belongs to the Section A: Algebra and Logic)
  • Article
  • Open Access
3 Citations
8,621 Views
38 Pages

20 November 2021

This work presents an overview of the summability of divergent series and fractional finite sums, including their connections. Several summation methods listed, including the smoothed sum, permit obtaining an algebraic constant related to a divergent...

  • Article
  • Open Access
13 Citations
2,453 Views
31 Pages

20 November 2021

The main objective of the present article is to prove some new ∇ dynamic inequalities of Hardy–Hilbert type on time scales. We present and prove very important generalized results with the help of Fenchel–Legendre transform, submult...

(This article belongs to the Topic Dynamical Systems: Theory and Applications)
  • Article
  • Open Access
14 Citations
2,898 Views
13 Pages

20 November 2021

Accurately evaluating rockburst intensity has attracted much attention in these recent years, as it can guide the design of engineering in deep underground conditions and avoid injury to people. In this study, a new ensemble classifier combining a ra...

(This article belongs to the Special Issue Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics)
  • Article
  • Open Access
13 Citations
2,989 Views
19 Pages

20 November 2021

The paper describes a method of gravity data inversion, which is based on parallel algorithms. The choice of the density model of the initial approximation and the set on which the solution is sought guarantees the stability of the algorithms. We off...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
10 Citations
4,741 Views
15 Pages

Modeling and Verifying the CKB Blockchain Consensus Protocol

  • Meng Sun,
  • Yuteng Lu,
  • Yichun Feng,
  • Qi Zhang and
  • Shaoying Liu

19 November 2021

The Nervos CKB (Common Knowledge Base) is a public permissionless blockchain designed for the Nervos ecosystem. The CKB consensus protocol is the key protocol of the Nervos CKB, which improves the limit of the consensus’s performance for Bitcoin. In...

(This article belongs to the Special Issue Mathematics in Software Reliability and Quality Assurance)
  • Article
  • Open Access
13 Citations
5,227 Views
19 Pages

19 November 2021

Mathematics teachers’ knowledge is considered one of the most critical factors in instruction and student achievement. As such, various studies have focused on mathematics teachers’ knowledge. Despite the expansion of the field, however, a systematic...

(This article belongs to the Special Issue Mathematics Teacher’s Specialised Knowledge)
  • Article
  • Open Access
4 Citations
3,256 Views
34 Pages

Agent Scheduling in Unrelated Parallel Machines with Sequence- and Agent–Machine–Dependent Setup Time Problem

  • Jesús Isaac Vázquez-Serrano,
  • Leopoldo Eduardo Cárdenas-Barrón and
  • Rodrigo E. Peimbert-García

19 November 2021

Assignation-sequencing models have played a critical role in the competitiveness of manufacturing companies since the mid-1950s. The historic and constant evolution of these models, from simple assignations to complex constrained formulations, shows...

(This article belongs to the Special Issue Application of Mathematical Methods in Industrial Engineering and Management)
  • Article
  • Open Access
6 Citations
3,314 Views
17 Pages

19 November 2021

A space-time fully decoupled wavelet integral collocation method (WICM) with high-order accuracy is proposed for the solution of a class of nonlinear wave equations. With this method, wave equations with various nonlinearities are first transformed i...

  • Article
  • Open Access
1 Citations
2,767 Views
13 Pages

19 November 2021

Symmetry preserving difference schemes approximating equations of Hamiltonian systems are presented in this paper. For holonomic systems in the Hamiltonian framework, the symmetrical operators are obtained by solving the determining equations of Lie...

(This article belongs to the Special Issue Applied Mathematical Modelling and Dynamical Systems)
  • Article
  • Open Access
6 Citations
3,667 Views
20 Pages

Modeling and Forecasting Cases of RSV Using Artificial Neural Networks

  • Myladis R. Cogollo,
  • Gilberto González-Parra and
  • Abraham J. Arenas

19 November 2021

In this paper, we study and present a mathematical modeling approach based on artificial neural networks to forecast the number of cases of respiratory syncytial virus (RSV). The number of RSV-positive cases in most of the countries around the world...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
1 Citations
2,724 Views
12 Pages

19 November 2021

The reconstruction problem in X-ray computed tomography (XCT) is notoriously difficult in the case where only a small number of measurements are made. Based on the recently discovered Compressed Sensing paradigm, many methods have been proposed in or...

(This article belongs to the Topic Machine and Deep Learning)
  • Article
  • Open Access
7 Citations
2,787 Views
34 Pages

19 November 2021

This paper addresses the fusion estimation problem in tessarine systems with multi-sensor observations affected by mixed uncertainties when under Tk-properness conditions. Observations from each sensor can be updated, delayed, or contain only noise,...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
36 Citations
4,242 Views
13 Pages

A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers

  • Saeid Jafarzadeh Ghoushchi,
  • Elnaz Osgooei,
  • Gholamreza Haseli and
  • Hana Tomaskova

18 November 2021

Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers...

(This article belongs to the Special Issue Operations Research and Optimization)
  • Article
  • Open Access
24 Citations
9,178 Views
16 Pages

18 November 2021

Some countries have puppet culture in various forms, terms, and ways, including Indonesia. As a country with a diverse culture, it has detailed and comprehensive characteristics and stories related to puppets, especially the Javanese shadow puppet. S...

  • Article
  • Open Access
12 Citations
2,824 Views
10 Pages

18 November 2021

The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a sp...

(This article belongs to the Special Issue Differential Geometry of Spaces with Special Structures)
  • Article
  • Open Access
2 Citations
2,358 Views
24 Pages

18 November 2021

The main purpose of this paper is to study the influence of game players’ behavior preferences on the strategy choice and equilibrium results in the game process of large-scale engineering projects’ extreme disputes. In contrast to the se...

  • Article
  • Open Access
10 Citations
3,248 Views
22 Pages

Safety Evaluation of Arch Dam Subjected to Underwater Contact Explosion

  • Xiaohua Zhao,
  • Hongyuan Fang,
  • Gaohui Wang and
  • Yong Fan

18 November 2021

The stability of an arch dam can be significantly damaged by an extreme underwater explosion. This study proposed a damage index for assessing the degree of local damage of an arch dam after the dam was subjected to an underwater explosion. The damag...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
13,068 Views
32 Pages

Do It by Yourself: An Instructional Derivation of the Laplacian Operator in Spherical Polar Coordinates

  • Ana Laura Pérez-Martínez,
  • Maria del Pilar Aguilar-Del-Valle and
  • Arturo Rodríguez-Gomez

18 November 2021

For scientists and engineers, the Laplacian operator is a fundamental tool that has made it possible to carry out important frontier studies involving wave propagation, potential theory, heat conduction, the distribution of stresses in a deformable s...

(This article belongs to the Special Issue Mathematics as the M in STEM Education)
  • Article
  • Open Access
15 Citations
4,057 Views
22 Pages

Deep Cross-Project Software Reliability Growth Model Using Project Similarity-Based Clustering

  • Kyawt Kyawt San,
  • Hironori Washizaki,
  • Yoshiaki Fukazawa,
  • Kiyoshi Honda,
  • Masahiro Taga and
  • Akira Matsuzaki

18 November 2021

Software reliability is an essential characteristic for ensuring the qualities of software products. Predicting the potential number of bugs from the beginning of a development project allows practitioners to make the appropriate decisions regarding...

(This article belongs to the Special Issue Mathematics in Software Reliability and Quality Assurance)
  • Article
  • Open Access
11 Citations
3,012 Views
21 Pages

Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

  • Shilpi Jain,
  • Rahul Goyal,
  • Praveen Agarwal,
  • Antonella Lupica and
  • Clemente Cesarano

18 November 2021

The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function. Some functional relations, summation relations, integral representation...

(This article belongs to the Special Issue Orthogonal Polynomials and Special Functions)
  • Article
  • Open Access
4 Citations
2,962 Views
23 Pages

An Approach to Building Decision Support Systems Based on an Ontology Service

  • Anton Romanov,
  • Julia Stroeva,
  • Aleksey Filippov and
  • Nadezhda Yarushkina

18 November 2021

Modern decision support systems (DSSs) need components for storing knowledge. Moreover, DSSs must support fuzzy inference to work with uncertainty. Ontologies are designed to represent knowledge of complex structures and to perform inference tasks. D...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
8 Citations
2,315 Views
16 Pages

Modeling the Context of the Problem Domain of Time Series with Type-2 Fuzzy Sets

  • Anton A. Romanov,
  • Aleksey A. Filippov,
  • Valeria V. Voronina,
  • Gleb Guskov and
  • Nadezhda G. Yarushkina

18 November 2021

Data analysis in the context of the features of the problem domain and the dynamics of processes are significant in various industries. Uncertainty modeling based on fuzzy logic allows building approximators for solving a large class of problems. In...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
5 Citations
2,818 Views
24 Pages

An Enhanced Naked Mole Rat Algorithm for Optimal Cross-Layer Solution for Wireless Underground Sensor Networks

  • Pratap Singh,
  • Rishi Pal Singh,
  • Yudhvir Singh,
  • Jana Shafi and
  • Muhammad Fazal Ijaz

18 November 2021

Nature-inspired algorithms serve as the backbone of modern computing technology, and over the past three decades, the field has grown enormously. Many applications were solved by such algorithms and are replacing the traditional classical optimizatio...

  • Article
  • Open Access
8 Citations
3,057 Views
12 Pages

Mathematical Modeling of Electrical Conductivity of Anisotropic Nanocomposite with Periodic Structure

  • Sergey Korchagin,
  • Ekaterina Pleshakova,
  • Irina Alexandrova,
  • Vitaliy Dolgov,
  • Elena Dogadina,
  • Denis Serdechnyy and
  • Konstantin Bublikov

18 November 2021

Composite materials consisting of a dielectric matrix with conductive inclusions are promising in the field of micro- and optoelectronics. The properties of a nanocomposite material are strongly influenced by the characteristics of the substances inc...

  • Article
  • Open Access
9 Citations
2,593 Views
19 Pages

Theoretical Disquisition on the Static and Dynamic Characteristics of an Adaptive Stepped Hydrostatic Thrust Bearing with a Displacement Compensator

  • Vladimir Kodnyanko,
  • Andrey Kurzakov,
  • Olga Grigorieva,
  • Maxim Brungardt,
  • Svetlana Belyakova,
  • Ludmila Gogol,
  • Alexey Surovtsev and
  • Lilia Strok

18 November 2021

Stepped hydrostatic thrust bearings used in metal-cutting machines are characterized by high load capacity and damping, which ensure the stable operation of structures. However, in comparison with throttle thrust bearings, they have a high compliance...

(This article belongs to the Special Issue Mathematical Problems in Mechanical Engineering)
  • Article
  • Open Access
2,053 Views
15 Pages

18 November 2021

In this paper, we establish a new Hardy–Hilbert-type inequality involving parameters composed of a pair of weight coefficients with their sum. Our result is a unified generalization of some Hardy–Hilbert-type inequalities presented in ear...

(This article belongs to the Special Issue Analytic and Geometric Inequalities: Theory and Applications)

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Mathematics - ISSN 2227-7390