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Mathematics, Volume 10, Issue 9

2022 May-1 - 264 articles

Cover Story: Groups provide the language of symmetry in mathematics and in physics. Essential symmetries in quantum physics come after either the indetermination principle or the invariance of the flat space time in special relativity. In relation to the former, the relevant group is the Heisenberg–Weyl group, while the Euclidean group in n+1 dimensions plays a protagonic role in special relativity. Both groups may be immersed into a more general group, which admits a natural representation on topological linear spaces spanned by generalized Hermite functions. All of this work is based on the masterlines designed by Hermann Weyl some decades ago. View this paper
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Articles (264)

  • Article
  • Open Access
3 Citations
3,992 Views
13 Pages

In the present paper, we provide and verify several results obtained by using the Chatterjea and C`iric` fixed-point theorems by using (α−ψ)-contractive mapping in C*-algebra-valued metric space. We provide some examples and an applic...

  • Article
  • Open Access
17 Citations
11,132 Views
27 Pages

The automatic handling of banknotes can be conducted not only by specialized facilities, such as vending machines, teller machines, and banknote counters, but also by handheld devices, such as smartphones, with the utilization of built-in cameras and...

(This article belongs to the Special Issue Advances in Pattern Recognition and Image Analysis)
  • Article
  • Open Access
24 Citations
4,033 Views
22 Pages

Reservoir Characterization and Productivity Forecast Based on Knowledge Interaction Neural Network

  • Yunqi Jiang,
  • Huaqing Zhang,
  • Kai Zhang,
  • Jian Wang,
  • Shiti Cui,
  • Jianfa Han,
  • Liming Zhang and
  • Jun Yao

The reservoir characterization aims to provide the analysis and quantification of the injection-production relationship, which is the fundamental work for production management. The connectivity between injectors and producers is dominated by geologi...

(This article belongs to the Special Issue Computational and Mathematical Methods in Information Science and Engineering)
  • Article
  • Open Access
1 Citations
2,561 Views
15 Pages

We consider an approach to mathematical modeling of photodegradation of polymer nanocomposites with photoactive additives using the Monte Carlo methods. We principally pay attention to the strength decrease of these materials under solar light action...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
11 Citations
2,515 Views
15 Pages

The split feasibility problem (SFP) has many practical applications, which has attracted the attention of many authors. In this paper, we propose a different method to solve the SFP and the fixed-point problem involving quasi-nonexpansive mappings. W...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications II)
  • Article
  • Open Access
12 Citations
2,773 Views
11 Pages

Scientifically and reasonably pricing products and allocating slots are key to improving the profitability and competitiveness of high-speed railway expresses. In this research, we focus on the freight transportation pricing and slot allocation of hi...

(This article belongs to the Special Issue Applications of Quantitative Methods in Business and Economics Research)
  • Article
  • Open Access
13 Citations
4,643 Views
25 Pages

Many problems in daily life exhibit nonlinear behavior. Therefore, it is important to solve nonlinear problems. These problems are complex and difficult due to their nonlinear nature. It is seen in the literature that different artificial intelligenc...

(This article belongs to the Special Issue Neural Networks and Learning Systems II)
  • Article
  • Open Access
12 Citations
3,532 Views
21 Pages

This paper discusses statistical inference and optimal design of constant-stress accelerated life testing for the Chen distribution under progressive Type-II censoring. The scale parameter of the life distribution is assumed to be a logarithmic linea...

  • Article
  • Open Access
5 Citations
3,466 Views
21 Pages

With the transition to neural architectures, machine translation achieves very good quality for several resource-rich languages. However, the results are still much worse for languages with complex morphology, especially if they are low-resource lang...

(This article belongs to the Special Issue Natural Language Processing (NLP) and Machine Learning (ML)—Theory and Applications)
  • Article
  • Open Access
9 Citations
3,080 Views
7 Pages

The exploration of contractive inequalities which do not imply the continuity of the mapping at fixed points was an interesting open problem for quite some time. A significant amount of progress was made in the last two decades towards the solution o...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications II)
  • Article
  • Open Access
5 Citations
3,260 Views
18 Pages

Factors That Limit the Development of the Digital Entrepreneurial System in the Scale-Up Phase of the Enterprise Life Cycle

  • Ivana Đaković Radojičić,
  • Jelena Raut,
  • Slavica Mitrović Veljković,
  • Branislav Dudić,
  • Silvia Treľová and
  • Vijoleta Vrhovac

For the interpretation of digital entrepreneurship, the context in which the entrepreneurial process takes place plays an important role. The context emphasizes that to analyze the entrepreneurial process, it is no longer sufficient to analyze only t...

(This article belongs to the Special Issue Mathematical Methods and Analysis for the Industrial Management and Business, 2nd Edition)
  • Article
  • Open Access
11 Citations
3,966 Views
20 Pages

Playful Probes for Design Interaction with Machine Learning: A Tool for Aircraft Condition-Based Maintenance Planning and Visualisation

  • Jorge Ribeiro,
  • Pedro Andrade,
  • Manuel Carvalho,
  • Catarina Silva,
  • Bernardete Ribeiro and
  • Licínio Roque

Aircraft maintenance is a complex domain where designing new systems that include Machine Learning (ML) algorithms can become a challenge. In the context of designing a tool for Condition-Based Maintenance (CBM) in aircraft maintenance planning, this...

(This article belongs to the Special Issue Recent Advances in Computational Intelligence Methodologies for Industries)
  • Article
  • Open Access
3 Citations
3,074 Views
17 Pages

Chenciner Bifurcation Presenting a Further Degree of Degeneration

  • Sorin Lugojan,
  • Loredana Ciurdariu and
  • Eugenia Grecu

Chenciner bifurcation appears for some two-dimensional systems with discrete time having two independent variables. Investigated here is a special case of degeneration where the implicit function theorem cannot be used around the origin, so a new app...

(This article belongs to the Special Issue Dynamical System and Stochastic Analysis)
  • Article
  • Open Access
9 Citations
4,112 Views
19 Pages

Accelerated life testing (ALT) is a time-saving technology used in a variety of fields to obtain failure time data for test units in a fraction of the time required to test them under normal operating conditions. This study investigated progressive-s...

(This article belongs to the Special Issue Recent Advances in Computational Statistics)
  • Article
  • Open Access
4 Citations
3,496 Views
10 Pages

Tools for decision making need to be simple to use. In previous papers, we advocated that decision engineering needs to provide these tools, as well as a list of necessary properties that aggregation functions need to satisfy. When we model decisions...

(This article belongs to the Special Issue Fuzzy Sets and Artificial Intelligence)
  • Article
  • Open Access
8 Citations
3,358 Views
14 Pages

The minimization of annual operating costs in radial distribution networks with the optimal selection and siting of fixed-step capacitor banks is addressed in this research by means of a two-stage optimization approach. The first stage proposes an ap...

(This article belongs to the Special Issue Optimization Theory and Applications)
  • Article
  • Open Access
9 Citations
3,735 Views
23 Pages

The process of project portfolio selection is crucial in many organizations, especially R&D organizations. There is a need to make informed decisions on the investment in various projects or lack thereof. As the projects may continue over more th...

(This article belongs to the Special Issue Development and Optimization of Mathematical Models for Operations Research)
  • Article
  • Open Access
21 Citations
9,789 Views
16 Pages

Traffic forecasting plays an important role in intelligent transportation systems. However, the prediction task is highly challenging due to the mixture of global and local spatiotemporal dependencies involved in traffic data. Existing graph neural n...

(This article belongs to the Topic Machine and Deep Learning)
  • Article
  • Open Access
1 Citations
2,299 Views
13 Pages

This work establishes an exponential stability result for a porous-elastic system, where the dissipation mechanisms act on the porous and elastic equations. Our result completes some of the results in the literature for unbounded domains.

  • Article
  • Open Access
6 Citations
2,885 Views
16 Pages

Event-Triggered Consensus Control of Nonlinear Strict Feedback Multi-Agent Systems

  • Jiaojiao Zhuang,
  • Zhenxing Li,
  • Zongxiang Hou and
  • Chengdong Yang

In this paper, we investigate the event-triggered consensus problems of nonlinear strict feedback MASs under directed graph. Based on the high-gain control technique, we firstly give a state-based event-triggered consensus algorithm and prove that Ze...

(This article belongs to the Topic Complex Systems and Network Science)
  • Feature Paper
  • Article
  • Open Access
4 Citations
2,038 Views
9 Pages

We obtain the existence of multiple pairs of periodic solutions for difference equations of type −Δ(Δu(n − 1)1 − |Δu(n − 1)|2)=λg(u(n))(n∈Z), where g:R→R is a co...

(This article belongs to the Special Issue Nonlinear Functional Analysis and Its Applications 2021)
  • Article
  • Open Access
29 Citations
4,619 Views
12 Pages

Spatiotemporal Adaptive Fusion Graph Network for Short-Term Traffic Flow Forecasting

  • Shumin Yang,
  • Huaying Li,
  • Yu Luo,
  • Junchao Li,
  • Youyi Song and
  • Teng Zhou

Traffic flow forecasting is challenging for us to analyze intricate spatial–temporal dependencies and obtain incomplete information of spatial–temporal connection. Existing frameworks mostly construct spatial and temporal modeling based o...

  • Article
  • Open Access
2 Citations
2,524 Views
17 Pages

Due to the advancements of information technologies and the Internet of Things (IoT), the number of distributed sensors and IoT devices in the social IoT (SIoT) systems is proliferating. This has led to various multimedia applications, face recogniti...

(This article belongs to the Special Issue Computer Vision and Pattern Recognition with Applications)
  • Article
  • Open Access
4 Citations
2,903 Views
9 Pages

With the fast development of networks, one has to focus on the security of information running in real networks. A technology that might be able to resist attacks equipped with AI techniques and quantum computers is the so-called topological graphic...

(This article belongs to the Topic Dynamical Systems: Theory and Applications)
  • Article
  • Open Access
8 Citations
3,589 Views
11 Pages

Non-stationarity of EEG signals lead to high variability across sessions, which results in low classification accuracy. To reduce the inter-session variability, an unsupervised domain adaptation method is proposed. Arithmetic mean and covariance are...

  • Article
  • Open Access
6 Citations
6,693 Views
12 Pages

This paper is a numerical simulation of highly dispersive optical solitons in birefringent fibers with polynomial nonlinear form, which is achieved for the first time. The algorithmic approach is applied with the usage of the Laplace–Adomian de...

(This article belongs to the Special Issue Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications)
  • Article
  • Open Access
8 Citations
3,704 Views
25 Pages

Computational science simulations produce huge volumes of data for scientific research organizations. Often, this data is shared by data centers distributed geographically for storage and analysis. Data corruption in the end-to-end route of data tran...

  • Article
  • Open Access
1 Citations
2,329 Views
13 Pages

A quick search dynamic vector-evaluated particle swarm optimization algorithm based on fitness distance (DVEPSO/FD) is proposed according to the fact that some dynamic multi-objective optimization methods, such as the DVEPSO, cannot achieve a very ac...

(This article belongs to the Special Issue Optimization Theory and Applications)
  • Article
  • Open Access
29 Citations
3,613 Views
17 Pages

In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin. In particular,...

(This article belongs to the Special Issue Dynamical Systems and Their Applications (DSTA) — In Memory of Prof. Dr. José A. Tenreiro Machado)
  • Article
  • Open Access
1 Citations
2,574 Views
11 Pages

Let Kp,q (1≤p,q≤∞ with 1/p+1/q≥1) be the ideal of (p,q)-compact operators. This paper investigates the compactness and null sequences via Kp,q, and an approximation property of the ideal of Kp,q-compact operators.

(This article belongs to the Special Issue New Progress in General Topology and Its Applications)
  • Article
  • Open Access
1 Citations
2,049 Views
11 Pages

In this work, we study complex-valued data detection performance in massive multiple-input multiple-output (MIMO) systems. We focus on the problem of recovering an n-dimensional signal whose entries are drawn from an arbitrary constellation K⊂C f...

(This article belongs to the Special Issue Applied Mathematics for 5th Generation (5G) and beyond Communication Systems)
  • Article
  • Open Access
18 Citations
2,600 Views
31 Pages

In this paper, an effective frequency control strategy is proposed for emulating sufficient inertia power and improving frequency stability. The developed technique is based on applying virtual inertia control (VIC) with superconducting magnetic ener...

(This article belongs to the Special Issue Advanced Optimization Methods and Applications)
  • Article
  • Open Access
9 Citations
3,821 Views
33 Pages

Asynchronous Video Interviewing (AVI) is considered one of the most recent and promising innovations in the recruitment process. Using AVI in combination with AI-based technologies enables recruiters/employers to automate many of the tasks that are t...

(This article belongs to the Special Issue Recent Advances and Applications in Multi-Criteria Decision Analysis, 2nd Edition)
  • Article
  • Open Access
31 Citations
5,735 Views
13 Pages

Synchronous homopolar motors (SHMs) with an excitation winding located at the stator and a toothed salient pole rotor are a good alternative to motors traditionally used in traction applications such as induction motors or interior permanent magnet s...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
6 Citations
2,350 Views
22 Pages

Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink

  • Rusya Iryanti Yahaya,
  • Norihan Md Arifin,
  • Ioan Pop,
  • Fadzilah Md Ali and
  • Siti Suzilliana Putri Mohamed Isa

An engineered fluid, called nanofluid, is expected to have better thermal conductivity than conventional working fluids. The superior heat transfer performance and various possible applications promote the analysis of nanofluids in different flow geo...

  • Article
  • Open Access
4 Citations
2,548 Views
24 Pages

As the novel coronavirus pandemic has spread globally since 2019, most countries in the world are conducting vaccination campaigns. First, based on the traditional SIR infectious disease model, we introduce a positive feedback mechanism associated wi...

(This article belongs to the Special Issue Recent Advances in Theory and Application of Dynamical Systems)
  • Article
  • Open Access
10 Citations
2,773 Views
19 Pages

Blood Flow in Multi-Sinusoidal Curved Passages with Biomimetic Rheology: An Application of Blood Pumping

  • Gamal Hassan Sewify,
  • Khurram Javid,
  • Muhammad Adeel,
  • Aamar Abbasi,
  • Sami Ullah Khan,
  • Mohamed Omri and
  • Lioua Kolsi

The unsteady flow of biological liquid through non-uniform pumps under porosity impacts is considered. The Jeffrey fluid is used as blood in the current study, which is also characterized as viscoelastic fluid because of its dual characteristics: on...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing II)
  • Article
  • Open Access
9 Citations
3,072 Views
33 Pages

Dynamical Analysis of Nutrient-Phytoplankton-Zooplankton Model with Viral Disease in Phytoplankton Species under Atangana-Baleanu-Caputo Derivative

  • Songkran Pleumpreedaporn,
  • Chanidaporn Pleumpreedaporn,
  • Jutarat Kongson,
  • Chatthai Thaiprayoon,
  • Jehad Alzabut and
  • Weerawat Sudsutad

A mathematical model of the nutrient-phytoplankton-zooplankton associated with viral infection in phytoplankton under the Atangana-Baleanu derivative in Caputo sense is investigated in this study. We prove the theoretical results for the existence an...

(This article belongs to the Special Issue Stability Analysis of Fractional Systems-II)
  • Article
  • Open Access
5 Citations
2,447 Views
15 Pages

In this paper, we study the effect of using small prime numbers within the Joye–Libert public key encryption scheme. We introduce two novel versions and prove their security. We further show how to choose the system’s parameters such that...

(This article belongs to the Special Issue Computational Aspects of Quadratic and High-Order Residues with Applications in Cryptography)
  • Article
  • Open Access
2,059 Views
12 Pages

We construct the global existence and exponential time decay rates of mild solutions to the non-linear Fokker–Planck equation near a global Maxwellians with small-amplitude initial data in the low regularity function space Lk1LT∞Lv2 where...

(This article belongs to the Special Issue Applications of Partial Differential Equations in Mathematical Physics, 1st Edition)
  • Article
  • Open Access
3 Citations
3,269 Views
8 Pages

The Extendability of Cayley Graphs Generated by Transposition Trees

  • Yongde Feng,
  • Yanting Xie,
  • Fengxia Liu and
  • Shoujun Xu

A connected graph Γ is k-extendable for a positive integer k if every matching M of size k can be extended to a perfect matching. The extendability number of Γ is the maximum k such that Γ is k-extendable. In this paper, we prove th...

(This article belongs to the Special Issue Algebraic Structures and Graph Theory)
  • Article
  • Open Access
8 Citations
4,438 Views
15 Pages

In this paper, we consider the problem of pricing a spread option when the underlying assets follow a bivariate regime-switching jump diffusion model. We exploit an approximation technique which is based on the univariate Fourier transform representa...

(This article belongs to the Special Issue Stochastic Processes Applied to Modelling in Finance: Latest Advances and Prospects)
  • Article
  • Open Access
2 Citations
2,654 Views
13 Pages

A Decoding Algorithm for Convolutional Codes

  • Sandra Martín Sánchez and
  • Francisco J. Plaza Martín

It is shown how the decoding algorithms of Pellikaan and Rosenthal can be coupled to produce a decoding algorithm for convolutional codes. Bounds for the computational cost per decoded codeword are also computed. As a case study, our results are appl...

  • Article
  • Open Access
7 Citations
3,994 Views
24 Pages

Scene text detection and recognition, such as automatic license plate recognition, is a technology utilized in various applications. Although numerous studies have been conducted to improve recognition accuracy, accuracy decreases when low-quality le...

(This article belongs to the Special Issue Advances in Machine Learning and Mathematical Modeling for Optimization Problems)
  • Article
  • Open Access
10 Citations
2,517 Views
20 Pages

We focus on an estimation method based on deep learning in terms of fault correction time for the operation reliability assessment of open-source software (OSS) under the environment of an edge computing service. Then, we discuss fault severity level...

(This article belongs to the Special Issue Mathematics and Computer Programming in 2D and 3D Open Source Software)
  • Article
  • Open Access
1 Citations
1,913 Views
13 Pages

Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of artificial neurons in analogy to l...

(This article belongs to the Special Issue Hypergroup Theory and Algebrization of Incidence Structures)
  • Article
  • Open Access
28 Citations
2,798 Views
20 Pages

Knacks of Fractional Order Swarming Intelligence for Parameter Estimation of Harmonics in Electrical Systems

  • Naveed Ahmed Malik,
  • Ching-Lung Chang,
  • Naveed Ishtiaq Chaudhary,
  • Muhammad Asif Zahoor Raja,
  • Khalid Mehmood Cheema,
  • Chi-Min Shu and
  • Sultan S. Alshamrani

The efficient parameter estimation of harmonics is required to effectively design filters to mitigate their adverse effects on the power quality of electrical systems. In this study, a fractional order swarming optimization technique is proposed for...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
45 Citations
11,935 Views
22 Pages

A Hybrid Recommendation System of Upcoming Movies Using Sentiment Analysis of YouTube Trailer Reviews

  • Sandipan Sahu,
  • Raghvendra Kumar,
  • Pathan MohdShafi,
  • Jana Shafi,
  • SeongKi Kim and
  • Muhammad Fazal Ijaz

Movies are one of the integral components of our everyday entertainment. In today’s world, people prefer to watch movies on their personal devices. Many movies are available on all popular Over the Top (OTT) platforms. Multiple new movies are r...

  • Article
  • Open Access
50 Citations
4,831 Views
30 Pages

Arithmetic Optimization Algorithm (AOA) is a physically inspired optimization algorithm that mimics arithmetic operators in mathematical calculation. Although the AOA has an acceptable exploration and exploitation ability, it also has some shortcomin...

(This article belongs to the Special Issue Optimisation Algorithms and Their Applications)

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Mathematics - ISSN 2227-7390