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Mathematics, Volume 9, Issue 21

2021 November-1 - 198 articles

Cover Story: Chenkuan Li, Rekha Srivastava and Kyle Gardiner study the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space based on Babenko’s approach, Leray-Schauder’s nonlinear alternative, and the multivariate Mittag-Leffler function. They derive some notable results and demonstrate the application of the main theorem. View this paper
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Articles (198)

  • Article
  • Open Access
19 Citations
12,067 Views
11 Pages

Mathematics Model for 6-DOF Joints Manipulation Robots

  • Oleg Krakhmalev,
  • Nikita Krakhmalev,
  • Sergey Gataullin,
  • Irina Makarenko and ,
  • Petr Nikitin,
  • Denis Serdechnyy,
  • Kang Liang and
  • Sergey Korchagin
  • + 3 authors+ 0 author

8 November 2021

A universal solution to an applied problem related to the study of deviations occurring in the joints of manipulation robots, for example, due to elastic deformations or gaps in them, is proposed. A mathematical (dynamic) model obtained by the Lagran...

  • Review
  • Open Access
120 Citations
32,190 Views
28 Pages

A Review on Text Steganography Techniques

  • Mohammed Abdul Majeed,
  • Rossilawati Sulaiman,
  • Zarina Shukur and
  • Mohammad Kamrul Hasan

8 November 2021

There has been a persistent requirement for safeguarding documents and the data they contain, either in printed or electronic form. This is because the fabrication and faking of documents is prevalent globally, resulting in significant losses for ind...

(This article belongs to the Special Issue Mathematical Mitigation Techniques for Network and Cyber Security)
  • Article
  • Open Access
63 Citations
4,968 Views
26 Pages

8 November 2021

Numerous optimization problems have been defined in different disciplines of science that must be optimized using effective techniques. Optimization algorithms are an effective and widely used method of solving optimization problems that are able to...

(This article belongs to the Special Issue Optimization Theory and Applications)
  • Article
  • Open Access
2,477 Views
24 Pages

8 November 2021

Genomic heterogeneity constitutes one of the most distinctive features of cancer diseases, limiting the efficacy and availability of medical treatments. Tumorigenesis emerges as a strongly stochastic process, producing a variable landscape of genomic...

(This article belongs to the Special Issue Models and Methods in Bioinformatics: Theory and Applications)
  • Article
  • Open Access
2 Citations
3,226 Views
24 Pages

8 November 2021

The average kappa coefficient of a binary diagnostic test is a parameter that measures the average beyond-chance agreement between the diagnostic test and the gold standard. This parameter depends on the accuracy of the diagnostic test and also on th...

(This article belongs to the Special Issue Methods and Applications of Statistics in the Social and Health Sciences)
  • Article
  • Open Access
2,425 Views
15 Pages

8 November 2021

The asymptotic behavior of the residual lifetime of the system and its characteristics are studied for the main distributions of reliability theory. Sufficiently precise and simple conditions for the domain of attraction of the exponential distributi...

(This article belongs to the Special Issue Stochastic Modeling and Applied Probability)
  • Article
  • Open Access
3 Citations
3,187 Views
15 Pages

Optimized Unidirectional and Bidirectional Stiffened Objects for Minimum Material Consumption of 3D Printing

  • Anzong Zheng,
  • Zaiping Zhu,
  • Shaojun Bian,
  • Jian Chang and ,
  • Habibollah Haron,
  • Andres Iglesias,
  • Lihua You and
  • Jianjun Zhang
  • + 3 authors+ 0 author

8 November 2021

3D printing, regarded as the most popular additive manufacturing technology, is finding many applications in various industrial sectors. Along with the increasing number of its industrial applications, reducing its material consumption and increasing...

(This article belongs to the Special Issue Computer Graphics, Image Processing and Artificial Intelligence)
  • Article
  • Open Access
9 Citations
3,752 Views
26 Pages

Study of a Modified Kumaraswamy Distribution

  • Rashad A. R. Bantan,
  • Christophe Chesneau,
  • Farrukh Jamal,
  • Mohammed Elgarhy and ,
  • Waleed Almutiry and
  • Amani Abdullah Alahmadi
  • + 1 author+ 0 author

8 November 2021

In this article, a structural modification of the Kumaraswamy distribution yields a new two-parameter distribution defined on (0,1), called the modified Kumaraswamy distribution. It has the advantages of being (i) original in its definition, mixing l...

(This article belongs to the Special Issue Analysis and Comparison of Probabilistic Models)
  • Article
  • Open Access
5 Citations
2,328 Views
22 Pages

8 November 2021

In the paper, we establish the oscillatory and spectral properties of a class of fourth-order differential operators in dependence on integral behavior of its coefficients at zero and infinity. In order to obtain these results, we investigate a certa...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
5 Citations
2,314 Views
27 Pages

Doss ρ-Almost Periodic Type Functions in Rn

  • Marko Kostić,
  • Wei-Shih Du and
  • Vladimir E. Fedorov

7 November 2021

In this paper, we investigate various classes of multi-dimensional Doss ρ-almost periodic type functions of the form F:Λ×X→Y, where n∈N,∅≠Λ⊆Rn, X and Y are complex Banach spaces, and ρ is a binary relation on Y. We work in the general setting of...

(This article belongs to the Special Issue Abstract Fractional Integro-Differential Equations and Fixed Point Theory with Applications)
  • Article
  • Open Access
4 Citations
5,204 Views
20 Pages

7 November 2021

The burgeoning advances in high-throughput technologies have posed a great challenge to the identification of novel biomarkers for diagnosing, by contemporary models and methods, through bioinformatics-driven analysis. Diagnostic performance metrics...

(This article belongs to the Special Issue Models and Methods in Bioinformatics: Theory and Applications)
  • Article
  • Open Access
3 Citations
2,066 Views
14 Pages

7 November 2021

We propose a new functional form characterization of binary nonmanipulable social choice functions on a universal domain and an arbitrary, possibly infinite, set of agents. In order to achieve this, we considered the more general case of two-valued s...

  • Article
  • Open Access
12 Citations
4,638 Views
18 Pages

GPS Data Correction Based on Fuzzy Logic for Tracking Land Vehicles

  • Pedro J. Correa-Caicedo,
  • Horacio Rostro-González,
  • Martin A. Rodriguez-Licea,
  • Óscar Octavio Gutiérrez-Frías and ,
  • Carlos Alonso Herrera-Ramírez,
  • Iris I. Méndez-Gurrola,
  • Miroslava Cano-Lara and
  • Alejandro I. Barranco-Gutiérrez
  • + 3 authors+ 0 author

6 November 2021

GPS sensors are widely used to know a vehicle’s location and to track its route. Although GPS sensor technology is advancing, they present systematic failures depending on the environmental conditions to which they are subjected. To tackle this probl...

(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Logic and Their Applications 2021)
  • Article
  • Open Access
2 Citations
2,602 Views
6 Pages

Inflection Points in Cubic Structures

  • Vladimir Volenec,
  • Zdenka Kolar-Begović and
  • Ružica Kolar-Šuper

6 November 2021

In this paper, we introduce and study new geometric concepts in a general cubic structure. We define the concept of the inflection point in a general cubic structure and investigate relationships between inflection points and associated and correspon...

  • Article
  • Open Access
5 Citations
2,406 Views
12 Pages

6 November 2021

The Ewens–Pitman sampling model (EP-SM) is a distribution for random partitions of the set {1,…,n}, with n∈N, which is indexed by real parameters α and θ such that either α∈[0,1) and θ>−α, or α<0 and θ=−mα for some m∈N. For α=0, the EP-SM is re...

(This article belongs to the Special Issue Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday)
  • Article
  • Open Access
24 Citations
2,996 Views
16 Pages

Performance of Gradient-Based Optimizer on Charging Station Placement Problem

  • Essam H. Houssein,
  • Sanchari Deb,
  • Diego Oliva,
  • Hegazy Rezk and ,
  • Hesham Alhumade and
  • Mokhtar Said
  • + 1 author+ 0 author

6 November 2021

The electrification of transportation is necessary due to the expanded fuel cost and change in climate. The management of charging stations and their easy accessibility are the main concerns for receipting and accepting Electric Vehicles (EVs). The d...

(This article belongs to the Special Issue Bioinspired Intelligent Algorithms for Optimization, Modeling and Control: Theory and Applications)
  • Article
  • Open Access
2 Citations
2,965 Views
71 Pages

6 November 2021

Execution tracing is a tool used in the course of software development and software maintenance to identify the internal routes of execution and state changes while the software operates. Its quality has a high influence on the duration of the analys...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
6 Citations
3,109 Views
11 Pages

On the Quasi-Total Roman Domination Number of Graphs

  • Abel Cabrera Martínez,
  • Juan C. Hernández-Gómez and
  • José M. Sigarreta

6 November 2021

Domination theory is a well-established topic in graph theory, as well as one of the most active research areas. Interest in this area is partly explained by its diversity of applications to real-world problems, such as facility location problems, co...

(This article belongs to the Special Issue Advances in Discrete Applied Mathematics and Graph Theory)
  • Article
  • Open Access
10 Citations
4,322 Views
20 Pages

5 November 2021

In the context of the long-term coexistence between COVID-19 and human society, the implementation of personnel health monitoring in construction sites has become one of the urgent needs of current construction management. The installation of infrare...

(This article belongs to the Special Issue Numerical Computation, Data Analysis and Software in Mathematics and Engineering)
  • Article
  • Open Access
25 Citations
4,074 Views
12 Pages

5 November 2021

The current study is focused on development and adaption of the higher order Haar wavelet method for solving nonlinear ordinary differential equations. The proposed approach is implemented on two sample problems—the Riccati and the Liénard equations....

(This article belongs to the Special Issue Mathematical Problems in Materials Science)
  • Article
  • Open Access
13 Citations
8,245 Views
20 Pages

Bayesian Inference under Small Sample Sizes Using General Noninformative Priors

  • Jingjing He,
  • Wei Wang,
  • Min Huang,
  • Shaohua Wang and
  • Xuefei Guan

5 November 2021

This paper proposes a Bayesian inference method for problems with small sample sizes. A general type of noninformative prior is proposed to formulate the Bayesian posterior. It is shown that this type of prior can represent a broad range of priors su...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
17 Citations
2,881 Views
24 Pages

5 November 2021

The model of a fully available group of servers with a Poisson flow of primary calls and the possibility of losses before and after occupying a free server is considered. Additionally, a call can leave the system because of the aging of transmitted i...

(This article belongs to the Special Issue Applications of Mathematical Analysis in Telecommunications)
  • Article
  • Open Access
7 Citations
3,365 Views
33 Pages

5 November 2021

People have had an interest in harmony issues for thousands of years; however, there is still no elaborated system of views on these questions. Ancient Greeks understood harmony as an agreement of opposites. A surge of interest in the study of the ha...

(This article belongs to the Special Issue From COVID-19 to Resilience: Quantitative Methods in Economics and Business)
  • Article
  • Open Access
38 Citations
6,937 Views
27 Pages

5 November 2021

Due to growing electricity demand, developing an efficient fault-detection system in thermal power plants (TPPs) has become a demanding issue. The most probable reason for failure in TPPs is equipment (boiler and turbine) fault. Advance detection of...

(This article belongs to the Special Issue Machine Learning and Statistical Modeling with Applications in Real-World Data and Artificial Intelligence)
  • Article
  • Open Access
49 Citations
5,660 Views
87 Pages

5 November 2021

A generalization of fractional vector calculus (FVC) as a self-consistent mathematical theory is proposed to take into account a general form of non-locality in kernels of fractional vector differential and integral operators. Self-consistency involv...

(This article belongs to the Special Issue Fractals, Fractional Calculus and Applied Statistics)
  • Article
  • Open Access
10 Citations
3,691 Views
33 Pages

5 November 2021

The peaks-over-threshold (POT) method has a long tradition in modelling extremes in environmental variables. However, it has originally been introduced under the assumption of independently and identically distributed (iid) data. Since environmental...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
60 Citations
10,823 Views
20 Pages

5 November 2021

Since the discovery that machine learning can be used to effectively detect Android malware, many studies on machine learning-based malware detection techniques have been conducted. Several methods based on feature selection, particularly genetic alg...

(This article belongs to the Special Issue Swarm and Evolutionary Computation—Bridging Theory and Practice)
  • Article
  • Open Access
6 Citations
2,848 Views
22 Pages

5 November 2021

Automatic fingerspelling recognition tackles the communication barrier between deaf and hearing individuals. However, the accuracy of fingerspelling recognition is reduced by high intra-class variability and low inter-class variability. In the existi...

(This article belongs to the Special Issue Computational Intelligence and Human–Computer Interaction: Modern Methods and Applications)
  • Article
  • Open Access
3 Citations
2,593 Views
24 Pages

Extended Generalized Sinh-Normal Distribution

  • Guillermo Martínez-Flórez,
  • David Elal-Olivero and
  • Carlos Barrera-Causil

4 November 2021

Positively skewed data sets are common in different areas, and data sets such as material fatigue, reaction time, neuronal reaction time, agricultural engineering, and spatial data, among others, need to be fitted according to their features and main...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
27 Citations
5,340 Views
12 Pages

Comparison and Explanation of Forecasting Algorithms for Energy Time Series

  • Yuyi Zhang,
  • Ruimin Ma,
  • Jing Liu,
  • Xiuxiu Liu and ,
  • Ovanes Petrosian and
  • Kirill Krinkin
  • + 1 author+ 0 author

4 November 2021

In this work, energy time series forecasting competitions from the Schneider Company, the Kaggle Online platform, and the American society ASHRAE were considered. These competitions include power generation and building energy consumption forecasts....

(This article belongs to the Special Issue Application of Mathematical Methods in Artificial Intelligence)
  • Article
  • Open Access
2 Citations
2,573 Views
19 Pages

4 November 2021

We evaluate the short-run effect of a shock in the manufacturing sector in the North America Production Network. We use input–output data for Canada, Mexico, the USA, and the North America region. With this data we represent the economies as networks...

(This article belongs to the Special Issue Structure and Dynamics of Complex Networks)
  • Article
  • Open Access
3 Citations
3,462 Views
29 Pages

Multivariate Decomposition of Acoustic Signals in Dispersive Channels

  • Miloš Brajović,
  • Isidora Stanković,
  • Jonatan Lerga,
  • Cornel Ioana and ,
  • Eftim Zdravevski and
  • Miloš Daković
  • + 1 author+ 0 author

4 November 2021

We present a signal decomposition procedure, which separates modes into individual components while preserving their integrity, in effort to tackle the challenges related to the characterization of modes in an acoustic dispersive environment. With th...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
10 Citations
2,815 Views
15 Pages

4 November 2021

In a previous paper, the problem of how the preventive maintenance organization for the k-out-of-n: F system could be used, in order to maximize system availability, was considered. The current paper continues these investigations using a different o...

(This article belongs to the Special Issue Advances in Reliability Modeling, Optimization and Applications)
  • Article
  • Open Access
58 Citations
6,398 Views
13 Pages

4 November 2021

The continuous development of network technologies plays a major role in increasing the utilization of these technologies in many aspects of our lives, including e-commerce, electronic banking, social media, e-health, and e-learning. In recent times,...

(This article belongs to the Special Issue Computational Intelligent and Image Processing)
  • Article
  • Open Access
6 Citations
1,958 Views
12 Pages

4 November 2021

In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes inte...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
19 Citations
4,192 Views
22 Pages

4 November 2021

The modern world can be described as a sociotechnical system, the existence and development of which are determined by the successful interaction of technology and society. When introducing a technology, it is important to assess its potential sustai...

(This article belongs to the Special Issue Sustainability Issues and Mathematical Models of Digital Technologies)
  • Article
  • Open Access
6 Citations
3,033 Views
14 Pages

The Cascade Hilbert-Zero Decomposition: A Novel Method for Peaks Resolution and Its Application to Raman Spectra

  • Eugene B. Postnikov,
  • Elena A. Lebedeva,
  • Andrey Yu. Zyubin and
  • Anastasia I. Lavrova

4 November 2021

Raman spectra of biological objects are sufficiently complex since they are comprised of wide diffusive spectral peaks over a noisy background. This makes the resolution of individual closely positioned components a complicated task. Here we propose...

(This article belongs to the Special Issue Mathematical Modeling in Biophysics, Biochemistry and Physical Chemistry)
  • Article
  • Open Access
1 Citations
2,857 Views
14 Pages

Proposal of the Dichotomous STATIS DUAL Method: Software and Application for the Analysis of Dichotomous Data, Applied to the Test of Learning Styles in University Students

  • Victoria I. Ballesteros-Espinoza,
  • Miguel Rodríguez-Rosa,
  • Ana B. Sánchez-García and
  • Purificación Vicente-Galindo

4 November 2021

The present work analyzed a review of methods for analyzing sequences of matrices or dichotomous data. A new method for a sequence of dichotomous matrices with a different number of rows is presented; the Dichotomous STATIS DUAL. Suppose we match the...

(This article belongs to the Special Issue Advances of Machine Learning and Their Applications)
  • Article
  • Open Access
8 Citations
3,921 Views
17 Pages

4 November 2021

A data-driven analysis method known as dynamic mode decomposition (DMD) approximates the linear Koopman operator on a projected space. In the spirit of Johnson–Lindenstrauss lemma, we will use a random projection to estimate the DMD modes in a reduce...

(This article belongs to the Special Issue Dynamical Systems and Operator Theory)
  • Article
  • Open Access
52 Citations
6,220 Views
21 Pages

4 November 2021

Hydrogel has a complex network structure with inhomogeneous and random distribution of polymer chains. Much effort has been paid to fully understand the relationship between mesoscopic network structure and macroscopic mechanical properties of hydrog...

(This article belongs to the Special Issue Numerical Computation, Data Analysis and Software in Mathematics and Engineering)
  • Article
  • Open Access
12 Citations
2,744 Views
27 Pages

A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination

  • Meghadri Das,
  • Guruprasad Samanta and
  • Manuel De la Sen

4 November 2021

The primary goal of this research is to investigate COVID-19 transmission patterns in West Bengal, India in 2021; the first Coronavirus illness (COVID-19) in West Bengal was revealed on 17 March 2020. We employed the modified Susceptible-Asymptomatic...

(This article belongs to the Special Issue Mathematical Methods and Models in Epidemiology)
  • Article
  • Open Access
8 Citations
5,108 Views
18 Pages

Specialised Knowledge for Teaching Geometry in a Primary Education Class: Analysis from the Knowledge Mobilized by a Teacher and the Knowledge Evoked in the Researcher

  • María del Mar Liñán-García,
  • Maria Cinta Muñoz-Catalán,
  • Luis Carlos Contreras and
  • Víctor Javier Barrera-Castarnado

4 November 2021

Deepening the specialised knowledge of mathematics teachers is necessary for teaching, and it is one of our concerns as researchers; accordingly, in this study we analyze the knowledge that a teacher mobilizes when giving a first lesson on geometry t...

(This article belongs to the Special Issue Mathematics Teacher’s Specialised Knowledge)
  • Article
  • Open Access
13 Citations
3,431 Views
13 Pages

4 November 2021

The slope stability in an open-pit mine is closely related to the production safety and economic benefit of the mine. As a result of the increase in the number and scale of mine slopes, slope instability is frequently encountered in mines. Therefore,...

(This article belongs to the Special Issue Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics)
  • Article
  • Open Access
23 Citations
5,661 Views
21 Pages

3 November 2021

The efficient control of permanent magnet synchronous motors (PMSM) requires the development of a technique for loss optimization. The best approach is the implementation of power loss minimization algorithms, which are hard to model and design. Ther...

(This article belongs to the Special Issue Mathematical Approaches to Modeling, Optimally Designing, and Controlling Electric Machine)
  • Article
  • Open Access
1,921 Views
14 Pages

3 November 2021

In this paper, the attitudes of experts are observed for the possible changes after taking a certain decision. The decision is taken by two persons with different fields of expertise. There is also an annotation of such changes due to the interferenc...

  • Article
  • Open Access
16 Citations
2,864 Views
17 Pages

Boosting Atomic Orbit Search Using Dynamic-Based Learning for Feature Selection

  • Mohamed Abd Elaziz,
  • Laith Abualigah,
  • Dalia Yousri,
  • Diego Oliva and ,
  • Mohammed A. A. Al-Qaness,
  • Mohammad H. Nadimi-Shahraki,
  • Ahmed A. Ewees,
  • Songfeng Lu and
  • Rehab Ali Ibrahim
  • + 4 authors+ 0 author

3 November 2021

Feature selection (FS) is a well-known preprocess step in soft computing and machine learning algorithms. It plays a critical role in different real-world applications since it aims to determine the relevant features and remove other ones. This proce...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
3,171 Views
14 Pages

3 November 2021

Given a connected graph G=(V(G),E(G)), a set S⊆V(G) is said to be a k-metric generator for G if any pair of different vertices in V(G) is distinguished by at least k elements of S. A metric generator of minimum cardinality among all k-metric generato...

(This article belongs to the Special Issue Graphs, Metrics and Models)
  • Article
  • Open Access
31 Citations
3,053 Views
17 Pages

3 November 2021

At present, iris recognition has been widely used as a biometrics-based security enhancement technology. However, in some application scenarios where a long-distance camera is used, due to the limitations of equipment and environment, the collected i...

  • Article
  • Open Access
21 Citations
2,318 Views
21 Pages

3 November 2021

To lower the concentration of organic pollutants in the effluent stream, wastewater must be treated before being discharged into the environment. The question of whether wastewater treatment facilities can successfully reduce the concentration of mic...

(This article belongs to the Special Issue New Trends and Developments in Numerical Analysis)

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Mathematics - ISSN 2227-7390