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Symmetry, Volume 13, Issue 12

2021 December - 221 articles

Cover Story: Laws of large numbers (LLNs) are theorems of great importance for probability and chance theory. Within chance theory the notion of an uncertain random variable was defined to model phenomena where both uncertainty and randomness are present. This work considers uncertain random variables as functions of random variables and uncertain variables, introduced within uncertainty theory. Sequences of uncertain random variables are defined for a fixed continuous function, strictly monotone with respect to its second argument, as are sequences of pairwise independent or independent, identically distributed random variables and regular, independent, and identically distributed uncertain variables. Some LLNs for such defined sequences of uncertain random variables are formulated and proven. Two of their counterparts for uncertain variables are also discussed. View this paper
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Articles (221)

  • Article
  • Open Access
2,621 Views
19 Pages

20 December 2021

In this paper, a new subspace gradient method is proposed in which the search direction is determined by solving an approximate quadratic model in which a simple symmetric matrix is used to estimate the Hessian matrix in a three-dimensional subspace....

  • Article
  • Open Access
5 Citations
4,434 Views
14 Pages

20 December 2021

The U-shaped metal bellows expansion joint compensates for the pipeline displacement by its own deformation. The compensation performance of the metal bellows in the initial stage of tension and compression deformation is unstable. In this paper, the...

  • Article
  • Open Access
12 Citations
3,318 Views
13 Pages

Modelling Artificial Immunization Processes to Counter Cyberthreats

  • Dmitry Zegzhda,
  • Evgeny Pavlenko and
  • Elena Aleksandrova

20 December 2021

This paper looks at the problem of cybersecurity in modern cyber-physical and information systems and proposes an immune-like approach to the information security of modern complex systems. This approach is based on the mathematical modeling in infor...

  • Article
  • Open Access
2,797 Views
17 Pages

20 December 2021

This article presents the methodology and tools to evaluate the reliability of quantitative sociological research data. The problem of filtering unreliable data is usually solved by statistical methods. This article proposes an improved method for fi...

  • Article
  • Open Access
2 Citations
2,514 Views
12 Pages

Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems

  • Zhiyou Liu,
  • Lichao Feng,
  • Xinbin Li,
  • Zhigang Lu and
  • Xianhui Meng

19 December 2021

Motivated by the two strategies of intermittent control and discrete feedback control, this paper aims to introduce a periodically intermittent discrete feedback control in the drift part to stabilize an unstable Markov jumping stochastic differentia...

  • Article
  • Open Access
2 Citations
3,761 Views
16 Pages

Radius of Star-Likeness for Certain Subclasses of Analytic Functions

  • Caihuan Zhang,
  • Mirajul Haq,
  • Nazar Khan,
  • Muhammad Arif,
  • Khurshid Ahmad and
  • Bilal Khan

19 December 2021

In this paper, we investigate a normalized analytic (symmetric under rotation) function, f, in an open unit disk that satisfies the condition fzgz>0, for some analytic function, g, with z+12nzgz>0,nN. We calcula...

  • Article
  • Open Access
7 Citations
6,361 Views
12 Pages

18 December 2021

A multi-purpose image-based QR code is designed in this paper. There are four purposes for the generated image-based QR code. In the first purpose, the basic image-based QR code with the look of a host image is with an ingenious layout to be identifi...

  • Review
  • Open Access
98 Citations
12,301 Views
28 Pages

17 December 2021

We have witnessed the impact of ML in disease diagnosis, image recognition and classification, and many more related fields. Healthcare is a sensitive field related to people’s lives in which decisions need to be carefully taken based on solid...

  • Article
  • Open Access
7 Citations
3,087 Views
25 Pages

17 December 2021

In order to guide the optimization design of the nozzle of the aircraft-fixed gas fire extinguishing system, we studied the influence of nozzle geometric parameters including outlet–inlet area ratio, length–diameter aspect ratio, and wall...

  • Article
  • Open Access
11 Citations
3,410 Views
17 Pages

17 December 2021

The crossing number of a graph G is the minimum number of edge crossings over all drawings of G in the plane. The main purpose of this paper is to determine the crossing numbers of the join products of six symmetric graphs on six vertices with paths...

  • Article
  • Open Access
5 Citations
2,872 Views
10 Pages

Coherence Trapping in Open Two-Qubit Dynamics

  • Mariam Algarni,
  • Kamal Berrada,
  • Sayed Abdel-Khalek and
  • Hichem Eleuch

17 December 2021

In this manuscript, we examine the dynamical behavior of the coherence in open quantum systems using the l1 norm. We consider a two-qubit system that evolves in the framework of Kossakowski-type quantum dynamical semigroups (KTQDSs) of completely pos...

  • Article
  • Open Access
6 Citations
3,717 Views
16 Pages

17 December 2021

A Distributed Denial of Service (DDoS) attack is a type of cybercrime that renders a target service unavailable by overwhelming it with traffic from several sources (attack nodes). In this paper, we focus on DDoS attacks on a computer network by spre...

  • Article
  • Open Access
4 Citations
3,114 Views
18 Pages

17 December 2021

In this work, we present a new generalization of the student’s t distribution. The new distribution is obtained by the quotient of two independent random variables. This quotient consists of a standard Normal distribution divided by the power o...

  • Article
  • Open Access
22 Citations
5,373 Views
14 Pages

Hybrid Sliding Mode Control of Full-Car Semi-Active Suspension Systems

  • Ayman Aljarbouh,
  • Muhammad Fayaz,
  • Muhammad Shuaib Qureshi and
  • Younes Boujoudar

17 December 2021

With the advance in technology in driving vehicles, there is currently more emphasis on developing advanced control systems for better road handling stability and ride comfort. However, one of the challenging problems in the design and implementation...

  • Article
  • Open Access
4 Citations
3,630 Views
23 Pages

Authenticated Encryption Based on Chaotic Neural Networks and Duplex Construction

  • Nabil Abdoun,
  • Safwan El Assad,
  • Thang Manh Hoang,
  • Olivier Deforges,
  • Rima Assaf and
  • Mohamad Khalil

16 December 2021

In this paper, we propose, implement and analyze an Authenticated Encryption with Associated Data Scheme (AEADS) based on the Modified Duplex Construction (MDC) that contains a chaotic compression function (CCF) based on our chaotic neural network re...

  • Article
  • Open Access
10 Citations
2,892 Views
11 Pages

The FUor Star V2493 Cyg (HBC 722)—Eleven Years at Maximum Brightness

  • Evgeni Semkov,
  • Sunay Ibryamov and
  • Stoyanka Peneva

16 December 2021

At the time of stellar evolution, young stellar objects go through processes of increased activity and instability. Star formation takes place in several stages during which the star accumulates enough mass to initiate thermonuclear reactions in the...

  • Article
  • Open Access
2 Citations
2,534 Views
12 Pages

16 December 2021

In this paper, we employ the certain theory of Lie symmetry analysis to discuss the time-fractional Gardner equation with time-dependent coefficients. The Lie point symmetry is applied to realize the symmetry reduction of the equation, and then the p...

  • Article
  • Open Access
2,588 Views
18 Pages

16 December 2021

This work mainly focuses on the continuity and analyticity for the generalized Benjamin–Ono (g-BO) equation. From the local well-posedness results for g-BO equation, we know that its solutions depend continuously on their initial data. In the p...

  • Article
  • Open Access
17 Citations
6,871 Views
15 Pages

16 December 2021

The urban public transportation system is an important part of urban transportation, and the rationality of public transportation routes layout plays a vital role in the transportation of the city. Improving the efficiency of public transportation ca...

  • Article
  • Open Access
3 Citations
3,271 Views
15 Pages

16 December 2021

When the response variable is defined on the (0,1) interval, the beta and simplex regression models are commonly used by researchers. However, there is no software support for these models to make their implementation easy for researchers. In this st...

  • Article
  • Open Access
3 Citations
3,412 Views
23 Pages

Applying GMEI-GAN to Generate Meaningful Encrypted Images in Reversible Data Hiding Techniques

  • Chwei-Shyong Tsai,
  • Hsien-Chu Wu,
  • Yu-Wen Li and
  • Josh Jia-Ching Ying

16 December 2021

With the rapid development of information technology, the transmission of information has become convenient. In order to prevent the leakage of information, information security should be valued. Therefore, the data hiding technique has become a popu...

  • Article
  • Open Access
3 Citations
2,688 Views
11 Pages

15 December 2021

Investigation of the risk factors associated with cardiovascular disease (CVD) plays an important part in the prevention and treatment of CVD. This study investigated whether alteration in the multi-scale time irreversibility of sleeping heart rate v...

  • Article
  • Open Access
14 Citations
3,499 Views
16 Pages

Key Concepts of Systemological Approach to CPS Adaptive Information Security Monitoring

  • Maria Poltavtseva,
  • Alexander Shelupanov,
  • Dmitriy Bragin,
  • Dmitry Zegzhda and
  • Elena Alexandrova

15 December 2021

Modern cyber-physical systems (CPS) use digital control of physical processes. This allows attackers to conduct various cyberattacks on these systems. According to the current trends, an information security monitoring system (ISMS) becomes part of a...

  • Article
  • Open Access
7 Citations
3,276 Views
23 Pages

The Multi-Compartment SI(RD) Model with Regime Switching: An Application to COVID-19 Pandemic

  • Manuel L. Esquível,
  • Nadezhda P. Krasii,
  • Gracinda R. Guerreiro and
  • Paula Patrício

15 December 2021

We study—with existence and unicity results—a variant of the SIR model for an infectious disease incorporating both the possibility of a death outcome—in a short period of time—and a regime switch that can account for the miti...

  • Article
  • Open Access
35 Citations
3,562 Views
17 Pages

15 December 2021

This article developed a functional integration matrix via the Hermite wavelets and proposed a novel technique called the Hermite wavelet collocation method (HWM). Here, we studied two models: the coupled system of an ordinary differential equation (...

  • Article
  • Open Access
1 Citations
2,581 Views
8 Pages

15 December 2021

As a mathematical tool to rationally handle degrees of belief in human beings, uncertainty theory has been widely applied in the research and development of various domains, including science and engineering. As a fundamental part of uncertainty theo...

  • Article
  • Open Access
62 Citations
6,311 Views
36 Pages

15 December 2021

Smartphones have become an inevitable part of every facet of modern society. The selection of a particular smartphone brand from multiple options that are available is a complex and dynamic decision-making problem, involving multiple conflicting crit...

  • Article
  • Open Access
14 Citations
2,631 Views
20 Pages

Some New Reverse Hilbert’s Inequalities on Time Scales

  • Ghada AlNemer,
  • Ahmed I. Saied,
  • Mohammed Zakarya,
  • Hoda A. Abd El-Hamid,
  • Omar Bazighifan and
  • Haytham M. Rezk

15 December 2021

This paper is interested in establishing some new reverse Hilbert-type inequalities, by using chain rule on time scales, reverse Jensen’s, and reverse Hölder’s with Specht’s ratio and mean inequalities. To get the results, we u...

  • Review
  • Open Access
10 Citations
5,237 Views
10 Pages

Asymmetric Lateralization during Pain Processing

  • Carolina Roza and
  • Anabel Martinez-Padilla

14 December 2021

Pain is defined as “an unpleasant sensory and emotional experience associated with, or resembling that associated with, actual or potential tissue damage”. This complex perception arises from the coordinated activity of several brain area...

  • Review
  • Open Access
15 Citations
6,320 Views
20 Pages

Principles of Gravitational-Wave Detection with Pulsar Timing Arrays

  • Michele Maiorano,
  • Francesco De Paolis and
  • Achille A. Nucita

14 December 2021

Pulsar timing uses the highly stable pulsar spin period to investigate many astrophysical topics. In particular, pulsar timing arrays make use of a set of extremely well-timed pulsars and their time correlations as a challenging detector of gravitati...

  • Article
  • Open Access
22 Citations
4,348 Views
23 Pages

14 December 2021

Unmanned aerial vehicle (UAV) clusters usually face problems such as complex environments, heterogeneous combat subjects, and realistic interference factors in the course of mission assignment. In order to reduce resource consumption and improve the...

  • Article
  • Open Access
11 Citations
2,748 Views
17 Pages

On Some New Simpson’s Formula Type Inequalities for Convex Functions in Post-Quantum Calculus

  • Miguel J. Vivas-Cortez,
  • Muhammad Aamir Ali,
  • Shahid Qaisar,
  • Ifra Bashir Sial,
  • Sinchai Jansem and
  • Abdul Mateen

14 December 2021

In this work, we prove a new (p,q)-integral identity involving a (p,q)-derivative and (p,q)-integral. The newly established identity is then used to show some new Simpson’s formula type inequalities for (p,q)-differentiable convex functions. Fi...

  • Article
  • Open Access
5 Citations
2,612 Views
12 Pages

14 December 2021

This paper represents the processing of the two-dimensional Laplace transform with the two-dimensional Marichev–Saigo–Maeda integral operators and two-dimensional incomplete hypergeometric function. This article provides an entirely new p...

  • Article
  • Open Access
14 Citations
2,920 Views
28 Pages

14 December 2021

In this article, to synthesize the merits of interaction operational laws (IOLs), rough numbers (RNs), power average (PA) and Heronian mean (HM), a new notion of T-spherical fuzzy rough numbers (T-SFRNs) is first introduced to describe the intention...

  • Article
  • Open Access
32 Citations
3,870 Views
22 Pages

14 December 2021

Considering green scheduling and sustainable manufacturing, the energy-efficient hybrid flow shop scheduling problem (EHFSP) with a variable speed constraint is investigated, and a novel multi-population artificial bee colony algorithm (MPABC) is dev...

  • Article
  • Open Access
2 Citations
4,684 Views
13 Pages

Calculating Beamforming Vectors for 5G System Applications

  • Edgar Dmitriyev,
  • Eugeniy Rogozhnikov,
  • Natalia Duplishcheva and
  • Serafim Novichkov

14 December 2021

The growing demand for broadband Internet services is forcing scientists around the world to seek and develop new telecommunication technologies. With the transition from the fourth generation to the fifth generation wireless communication systems, o...

  • Article
  • Open Access
4,124 Views
20 Pages

On the Hierarchical Bernoulli Mixture Model Using Bayesian Hamiltonian Monte Carlo

  • Wahyuni Suryaningtyas,
  • Nur Iriawan,
  • Heri Kuswanto and
  • Ismaini Zain

13 December 2021

The model developed considers the uniqueness of a data-driven binary response (indicated by 0 and 1) identified as having a Bernoulli distribution with finite mixture components. In social science applications, Bernoulli’s constructs a hierarch...

  • Article
  • Open Access
5 Citations
3,228 Views
19 Pages

13 December 2021

Bistable energy harvesters have been extensively studied. However, theoretical research on the dynamics of bistable energy harvesters based on asymmetric bistable composite laminated plate and shell structures has not been conducted. In this paper, a...

  • Review
  • Open Access
36 Citations
5,480 Views
60 Pages

Collider Searches for Dark Matter through the Higgs Lens

  • Spyros Argyropoulos,
  • Oleg Brandt and
  • Ulrich Haisch

13 December 2021

Despite the fact that dark matter constitutes one of the cornerstones of the standard cosmological paradigm, its existence has so far only been inferred from astronomical observations, and its microscopic nature remains elusive. Theoretical arguments...

  • Article
  • Open Access
24 Citations
3,333 Views
21 Pages

New Results of the Fifth-Kind Orthogonal Chebyshev Polynomials

  • Waleed Mohamed Abd-Elhameed and
  • Seraj Omar Alkhamisi

13 December 2021

The principal objective of this article is to develop new formulas of the so-called Chebyshev polynomials of the fifth-kind. Some fundamental properties and relations concerned with these polynomials are proposed. New moments formulas of these polyno...

  • Article
  • Open Access
6 Citations
3,207 Views
11 Pages

13 December 2021

Facial symmetry, averageness, and the level of sex-typical development of dimorphic traits are traditionally associated with various biological quality indicators and should be, therefore, preferred in mate choice. The aim of this study is to propose...

  • Review
  • Open Access
10 Citations
4,366 Views
10 Pages

Brain Asymmetry: Towards an Asymmetrical Neurovisceral Integration

  • Manuel Ramírez-Sánchez,
  • Isabel Prieto,
  • Ana Belén Segarra,
  • Inmaculada Banegas,
  • Magdalena Martínez-Cañamero,
  • Germán Domínguez-Vías and
  • Marc de Gasparo

13 December 2021

Despite the ancestral evidence of an asymmetry in motor predominance, going through the inspiring discoveries of Broca and Wernicke on the localization of language processing, continuing with the subsequent noise coinciding with the study of brain fu...

  • Article
  • Open Access
4 Citations
2,743 Views
14 Pages

13 December 2021

In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-function at the nontrivial zeros of the Riemann zeta-function (up to some height) which are symmetrical on the real line and the critical line. This is an ex...

  • Article
  • Open Access
4 Citations
3,529 Views
15 Pages

13 December 2021

Artificial intelligence (AI) techniques in power grid control and energy management in building automation require both deep Q-networks (DQNs) and deep deterministic policy gradients (DDPGs) in deep reinforcement learning (DRL) as off-policy algorith...

  • Article
  • Open Access
7 Citations
2,536 Views
14 Pages

13 December 2021

The existing safety analysis methods for the assessment of the aerostatic stability of long-span symmetry cable-stayed bridges have difficulties in meeting the requirements of engineering applications. Based on the finite element method and the inver...

  • Article
  • Open Access
9 Citations
5,877 Views
13 Pages

EEG Frontal Asymmetry in Dysthymia, Major Depressive Disorder and Euthymic Bipolar Disorder

  • Chiara Spironelli,
  • Francesca Fusina,
  • Marco Bortolomasi and
  • Alessandro Angrilli

13 December 2021

In the last few decades, the incidence of mood disorders skyrocketed worldwide and has brought an increasing human and economic burden. Depending on the main symptoms and their evolution across time, they can be classified in several clinical subgrou...

  • Article
  • Open Access
3 Citations
3,111 Views
23 Pages

13 December 2021

This work proposes two different primal-dual splitting algorithms for solving structured monotone inclusion containing a cocoercive operator and the parallel-sum of maximally monotone operators. In particular, the parallel-sum is symmetry. The propos...

  • Article
  • Open Access
10 Citations
2,909 Views
15 Pages

13 December 2021

The current study is devoted to investigating the existence and uniqueness of solutions for a new class of symmetrically coupled system of nonlinear hyperbolic partial-fractional differential equations in generalized Banach spaces in the sense of &ps...

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Symmetry - ISSN 2073-8994