Skip to Content

Symmetry, Volume 13, Issue 10

2021 October - 217 articles

Cover Story: Fullerene C60 can form bulky oligomeric molecules (C60)n. Their quantum-chemical description is challenging, so other theoretical approaches complement their digital portrait. We have studied the energy, topology, and symmetry of (C60)n combining density functional theory computations with topological indices and information entropy. The topological indices relate to the reactivities of the atoms, whereas information entropy is indicative in the aspect of the odd–even symmetry oscillations with n. Our findings allow predicting important properties of (C60)n with large n without heavy artillery of quantum chemistry. View this paper
  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.

Articles (217)

  • Review
  • Open Access
1 Citations
2,197 Views
17 Pages

19 October 2021

The pulsed laser deposition process is a complex one, encompassing a wide range of physical phenomena that act at different time scales, ranging from laser absorption to melting, plasma formation, and thin film deposition. In the past 15 years, there...

(This article belongs to the Section D: Chemistry: Symmetry/Asymmetry)
  • Article
  • Open Access
13 Citations
3,258 Views
14 Pages

Matching of Manufacturing Resources in Cloud Manufacturing Environment

  • Yanjuan Hu,
  • Leiting Pan,
  • Dongwei Gu,
  • Zhanli Wang,
  • Hongliang Liu and
  • Yilin Wang

19 October 2021

With the introduction and application of new information technology in manufacturing, various advanced manufacturing models and national strategies have received more and more attention. The goal of cloud manufacturing is to closely link the resource...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
7 Citations
3,922 Views
12 Pages

19 October 2021

A novel computational method to evaluate the Sommerfeld integral (SI) efficiently and accurately is presented. The method rewrites the SI into two parts, applying discrete complex image method (DCIM) to evaluate the infinite integral while using doub...

(This article belongs to the Topic Applied Metaheuristic Computing)
  • Article
  • Open Access
2,158 Views
14 Pages

19 October 2021

This paper describes the extended method of solving real polynomial zeros problems using the single-step method, namely, the interval trio midpoint symmetric single-step (ITMSS) method, which updates the midpoint at each forward-backward-forward step...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
15 Citations
3,043 Views
9 Pages

19 October 2021

We give a definition of Green’s function of the general boundary value problems for non-self-adjoint second order differential equation with involution. The sufficient conditions for the basis property of system of eigenfunctions are established in t...

(This article belongs to the Special Issue The Qualitative Theory of Functional Differential Equations and their Applications)
  • Article
  • Open Access
7 Citations
2,801 Views
19 Pages

Towards Potential Content-Based Features Evaluation to Tackle Meaningful Citations

  • Faiza Qayyum,
  • Harun Jamil,
  • Faisal Jamil and
  • Do-Hyeun Kim

19 October 2021

The scientific community has presented various citation classification models to refute the concept of pure quantitative citation analysis systems wherein all citations are treated equally. However, a small number of benchmark datasets exist, which m...

  • Feature Paper
  • Review
  • Open Access
6 Citations
5,137 Views
17 Pages

19 October 2021

We are interested here in the central organ of our thoughts: the brain. Advances in neuroscience have made it possible to obtain increasing information on the anatomy of this organ, at ever-higher resolutions, with different imaging techniques, on ev...

(This article belongs to the Special Issue Symmetry in Human Evolution, from Biology to Behaviours)
  • Article
  • Open Access
21 Citations
6,064 Views
10 Pages

19 October 2021

Expert systems, a form of artificial intelligence (AI), are typically designed to solve many real-world problems by reasoning through knowledge, which is primarily represented as IF–THEN rules, with the information acquired from humans or domain expe...

  • Article
  • Open Access
16 Citations
3,434 Views
17 Pages

Comparison Study on the Performance of a Novel and Traditional Energy Piles by Laboratory Tests

  • Xiaohua Bao,
  • Xuedong Qi,
  • Hongzhi Cui,
  • Jinping Zou and
  • Xiong Xiao

18 October 2021

Phase change material (PCM) is a substance that can absorb or release sufficient latent heat at phase transition. By encapsulating phase change paraffin in hollow steel balls in the concrete, an energy pile with PCM was innovatively produced to impro...

  • Article
  • Open Access
1 Citations
3,562 Views
8 Pages

Study of the Association between Postural Misalignments in School Students

  • João Pedro Gouveia,
  • Pedro Forte,
  • Joana Ribeiro and
  • Eduarda Coelho

18 October 2021

Nowadays, postural misalignments prevalence in students is increasingly evident and its early detection is the best way to prevent complications in adulthood. It is also known that postural problems appear to have association between them. The aim of...

(This article belongs to the Special Issue Asymmetric and Symmetric Study in Clinical Rehabilitation, Exercise Science, Clinical Biomechanics, and Biomedical Engineering: Technologies, Advances, and Applications)
  • Article
  • Open Access
2,279 Views
31 Pages

Further Results of the TTT Transform Ordering of Order n

  • Lei Yan,
  • Diantong Kang and
  • Haiyan Wang

18 October 2021

To compare the variability of two random variables, we can use a partial order relation defined on a distribution class, which contains the anti-symmetry. Recently, Nair et al. studied the properties of total time on test (TTT) transforms of order n...

  • Article
  • Open Access
6 Citations
2,007 Views
16 Pages

18 October 2021

In this paper, we consider the initial-boundary value problem for the two-dimensional primitive equations of the large-scale oceanic dynamics. These models are often used to predict weather and climate change. Using the differential inequality techni...

(This article belongs to the Special Issue Symmetry in the Mathematical Inequalities)
  • Article
  • Open Access
2,488 Views
11 Pages

18 October 2021

In this work, the authors use their contour integral method to derive an application of the Fourier integral theorem given by ∫−∞∞∫−∞∞emx−my−ex−ey+y(log(a)+x−y)kdxdy in terms of the Lerch function. This integral formula is then used to derive closed...

(This article belongs to the Special Issue Integral Transformation, Operational Calculus and Their Applications)
  • Article
  • Open Access
2 Citations
2,783 Views
17 Pages

18 October 2021

The paper offers a general symbolic method to study the motion in a non-inertial reference frame. In order to achieve this, we use the algebraic and geometric properties of the Lie group of special orthogonal tensors, SO3, and the Lie group of the ri...

(This article belongs to the Special Issue Symmetry in Theoretical and Applied Mechanics)
  • Article
  • Open Access
7 Citations
3,172 Views
14 Pages

Research on the New Topology and Coordinated Control Strategy of Renewable Power Generation Connected MMC-Based DC Power Grid Integration System

  • Shanshan Wang,
  • Shanmeng Qin,
  • Panbo Yang,
  • Yuanyuan Sun,
  • Bing Zhao,
  • Rui Yin,
  • Shengya Sun,
  • Chunyi Tian and
  • Yuetong Zhao

18 October 2021

The modular multilevel converter (MMC) station connected to the islanded renewable energy generation system needs to adopt the voltage frequency (VF) control to provide AC voltage. The single-pole converter fault will unbalance the input and output p...

(This article belongs to the Special Issue Advanced Technologies in Electrical and Electronic Engineering)
  • Article
  • Open Access
18 Citations
2,648 Views
15 Pages

Approximation Solution of the Nonlinear Circular Sitnikov Restricted Four–Body Problem

  • Reena Kumari,
  • Ashok Kumar Pal,
  • Elbaz I. Abouelmagd and
  • Sawsan Alhowaity

18 October 2021

In this paper, the approximated periodic solutions of the circular Sitnikov restricted four–body problem (RFBP) were constructed using the Lindstedt–Poincaré method, by removing the secular terms, and compared with numerical solution. It can be obser...

(This article belongs to the Special Issue Symmetry in Theoretical and Applied Mechanics)
  • Review
  • Open Access
1 Citations
2,425 Views
24 Pages

18 October 2021

We review earlier and recent results on the Markov moment problem and related polynomial approximation on unbounded subsets. Such results allow proving the existence and uniqueness of the solutions for some Markov moment problems. This is the first a...

(This article belongs to the Special Issue Symmetry and Approximation Methods)
  • Article
  • Open Access
2,021 Views
19 Pages

Further Results on the IDCPE Class of Life Distributions

  • Haiyan Wang,
  • Diantong Kang and
  • Lei Yan

18 October 2021

Navarro et al. (2010) proposed the increasing dynamic cumulative past entropy (IDCPE) class of life distributions. In this paper, we investigate some characterizations of this class. Closure and reversed closure properties of the IDCPE class are obta...

  • Article
  • Open Access
38 Citations
3,934 Views
14 Pages

17 October 2021

The system identification of a ship dynamics model is crucial for the intelligent navigation and design of the ship’s controller. The fluid dynamic effect and the complicated geometry of the hull surface cause a nonlinear or asymmetrical behavior, an...

  • Article
  • Open Access
21 Citations
3,728 Views
15 Pages

A Study of Improving Running Safety of a Railway Wagon with an Independently Rotating Wheel’s Flange

  • Evgeny Mikhailov,
  • Stanislav Semenov,
  • Hanna Shvornikova,
  • Juraj Gerlici,
  • Maxim Kovtanets,
  • Ján Dižo,
  • Miroslav Blatnický and
  • Jozef Harušinec

17 October 2021

The main objective of this work is to study the possibilities of improving the running safety of a railway wagon with independently rotating wheels by changing their design symmetrically mounted on an axle. The article provides a discussion of the ad...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
1,893 Views
13 Pages

17 October 2021

In this paper, we present an iterative method based on the well-known Ulm’s method to numerically solve Fredholm integral equations of the second kind. We support our strategy in the symmetry between two well-known problems in Numerical Analysis: the...

(This article belongs to the Special Issue Recent Advances and Application of Iterative Methods)
  • Article
  • Open Access
18 Citations
2,750 Views
18 Pages

On q-Starlike Functions Defined by q-Ruscheweyh Differential Operator in Symmetric Conic Domain

  • Saira Zainab,
  • Mohsan Raza,
  • Qin Xin,
  • Mehwish Jabeen,
  • Sarfraz Nawaz Malik and
  • Sadia Riaz

16 October 2021

Motivated by q-analogue theory and symmetric conic domain, we study here the q-version of the Ruscheweyh differential operator by applying it to the starlike functions which are related with the symmetric conic domain. The primary aim of this work is...

(This article belongs to the Special Issue Complex Analysis, in Particular Analytic and Univalent Functions)
  • Article
  • Open Access
6 Citations
3,144 Views
10 Pages

16 October 2021

A subset J is a (2-d)-kernel of a graph if J is independent and 2-dominating simultaneously. In this paper, we consider two different generalizations of the Petersen graph and we give complete characterizations of these graphs which have (2-d)-kernel...

  • Article
  • Open Access
10 Citations
29,441 Views
10 Pages

16 October 2021

B-DNA, the informational molecule for life on earth, appears to contain ratios structured around the irrational number 1.618…, often known as the “golden ratio”. This occurs in the ratio of the length:width of one turn of the helix; the ratio of the...

(This article belongs to the Special Issue Fibonacci and Lucas Numbers and the Golden Ratio in Physics and Biology)
  • Article
  • Open Access
2 Citations
3,119 Views
17 Pages

DFT Insights into the Hydrodenitrogenation and Ring-Opening of Indole on an M (M = Ni, Pt, Ni–Pt) Slab Model

  • Cuiping Wang,
  • Jinpeng Chu,
  • Lianji Zhang,
  • Yan Huang,
  • Zhiqiang Zhang,
  • Hao Chen and
  • Hongqi Shi

16 October 2021

Density functional theory (DFT) calculation has been used to study the hydrodenitrogenation (HDN) and ring-opening of indole on an M (M = Ni, Pt, Ni–Pt) slab surface. The possible reaction pathway of indole hydrogenation has been investigated in orde...

(This article belongs to the Topic Dynamical Systems: Theory and Applications)
  • Article
  • Open Access
4 Citations
2,515 Views
13 Pages

16 October 2021

The bearing capacity of the tunnel structure is the essential basis for the structural safety of tunnel engineering. Due to the unpredictability and uncertainty in the tunnel’s surrounding environment, a systematic and unambiguous study on the bearin...

  • Article
  • Open Access
8 Citations
2,796 Views
16 Pages

16 October 2021

Vinoth et al. proposed an authenticated key agreement scheme for industrial IoT (Internet of Things) applications. Vinoth et al.’s scheme aimed to protect the remote sensing data of industrial IoT devices under hostile environments. The scheme is int...

(This article belongs to the Special Issue Special issue on Symmetry and Asymmetry in IoT and CPS Security and Privacy)
  • Article
  • Open Access
3 Citations
3,996 Views
17 Pages

Cortical Activation in Mental Rotation and the Role of the Corpus Callosum: Observations in Healthy Subjects and Split-Brain Patients

  • Chiara Pierpaoli,
  • Mojgan Ghoushi,
  • Nicoletta Foschi,
  • Simona Lattanzi,
  • Mara Fabri and
  • Gabriele Polonara

16 October 2021

The mental rotation (MR) is an abstract mental operation thanks to which a person imagines rotating an object or a body part to place it in an other position. The ability to perform MR was belived to belong to the right hemisphere for objects, and to...

(This article belongs to the Section E: Life Sciences)
  • Article
  • Open Access
5 Citations
3,283 Views
17 Pages

16 October 2021

Malaysia is multi-ethnic and diverse country. Heterogeneity, in terms of population interactions, is ingrained in the foundation of the country. Malaysian policies and social distancing measures are based on daily infections and R0 (average number of...

(This article belongs to the Special Issue Topological Graph Theory and Discrete Geometry)
  • Article
  • Open Access
6 Citations
1,996 Views
16 Pages

Implicit Hybrid Fractional Boundary Value Problem via Generalized Hilfer Derivative

  • Abdellatif ‬Boutiara,
  • Mohammed S. ‬Abdo,
  • Mohammed A. ‬Almalahi,
  • Hijaz Ahmad and
  • Amira Ishan

15 October 2021

This research paper is dedicated to the study of a class of boundary value problems for a nonlinear, implicit, hybrid, fractional, differential equation, supplemented with boundary conditions involving general fractional derivatives, known as the ϑ-H...

(This article belongs to the Special Issue Ordinary and Partial Differential Equations: Theory and Applications II)
  • Article
  • Open Access
2 Citations
2,347 Views
9 Pages

15 October 2021

Human attention is limited in the ability to select and segregate relevant distinct events from the continuous flow of external information while concurrently encoding their temporal succession. While it is well-known that orienting attention to one...

(This article belongs to the Special Issue Symmetry in Cognition and Emotion)
  • Article
  • Open Access
7 Citations
3,106 Views
13 Pages

End Effect Analysis of a Slot-Less Long-Stator Permanent Magnet Linear Synchronous Motor

  • Yue Zhou,
  • Wenjun Zong,
  • Qiang Tan,
  • Zhenjiang Hu,
  • Tao Sun and
  • Liyi Li

15 October 2021

The implications of the end effect for flux linkage and thrust ripple in a slot-less long-stator permanent magnet linear synchronous motor (LSPMLSM), are analyzed in this paper. Since it is affected by the end effect, the air-gap magnetic field densi...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
1,777 Views
15 Pages

15 October 2021

Plastic anisotropy significantly influences the behavior of structures subjected to various loading conditions. The extremum principles in the theory of rigid plastic solids are convenient and reliable tools for plastic design. The present paper comb...

(This article belongs to the Special Issue Analysis and Design of Structures Made of Plastically Anisotropic Materials 2020)
  • Communication
  • Open Access
1 Citations
2,412 Views
7 Pages

15 October 2021

The purpose of this pilot study was to investigate the effects of change-of-direction (CoD) angle (90° vs. 180°) and the inclusion of acceleration approach on total task time, CoD deficit, and agreement regarding inter-limb asymmetry direction across...

(This article belongs to the Special Issue Symmetry in Medicine and Biomechanics)
  • Article
  • Open Access
38 Citations
6,214 Views
15 Pages

15 October 2021

The energy manufacturers are required to produce an accurate amount of energy by meeting the energy requirements at the end-user side. Consequently, energy prediction becomes an essential role in the electric industrial zone. In this paper, we propos...

(This article belongs to the Special Issue Symmetry in Renewable Energy and Power Systems Ⅱ - Including Wind Energy and Fluid Energy)
  • Article
  • Open Access
2 Citations
2,342 Views
11 Pages

15 October 2021

An uncertain random variable is a tool used to research indeterminacy quantities involving randomness and uncertainty. The concepts of an ’uncertain random process’ and an ’uncertain random renewal process’ have been proposed in order to model the ev...

(This article belongs to the Special Issue Fuzzy Set Theory and Uncertainty Theory)
  • Article
  • Open Access
4 Citations
14,998 Views
9 Pages

Changes in Facial Shape throughout Pregnancy—A Computational Exploratory Approach

  • Urszula Maria Marcinkowska,
  • Anna Ziomkiewicz-Wichary,
  • Natalia Nowak-Szczepanska,
  • Danuta Kornafel,
  • Sławomir Kozieł and
  • Dariusz P. Danel

15 October 2021

Facial cognition serves an important role in human daily interactions. It has been suggested that facial shape can serve as a signal for underlining biological condition, and that it is correlated with, among others, health, fertility, and attractive...

(This article belongs to the Section E: Life Sciences)
  • Review
  • Open Access
4 Citations
5,443 Views
26 Pages

15 October 2021

Possible dark matter candidates in particle physics span a mass range extending over fifty orders of magnitude. In this review, we consider the range of masses from a few keV to a few hundred TeV, which is relevant for cold particle dark matter. We w...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
4 Citations
2,788 Views
14 Pages

Inner Product Groups and Riesz Representation Theorem

  • Alireza Pourmoslemi,
  • Tahereh Nazari and
  • Mehdi Salimi

15 October 2021

In this paper, we introduce an inner product on abelian groups and, after investigating the basic properties of the inner product, we first show that each inner product group is a torsion-free abelian normed group. We give examples of such groups and...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
32 Citations
4,477 Views
27 Pages

Intelligent Safety Assessment of Prestressed Steel Structures Based on Digital Twins

  • Zhansheng Liu,
  • Guoliang Shi,
  • Zedong Jiao and
  • Linlin Zhao

14 October 2021

In the development process of intelligent construction, the safety assessment of prestressed steel structures as an important research direction has become more and more attractive in academia. Digital twins (DTs) is the key technology to realize int...

(This article belongs to the Special Issue Symmetry in Structural Health Monitoring)
  • Article
  • Open Access
6 Citations
5,023 Views
23 Pages

14 October 2021

An asymmetrical property of the probability weighting function, namely, subproportionality, was derived from observations. Subproportionality can provide a reasonable explanation for accommodating the Allais paradox and, therefore, deserves replicati...

(This article belongs to the Special Issue Symmetry in Cognition and Emotion)
  • Article
  • Open Access
18 Citations
2,074 Views
10 Pages

14 October 2021

The present paper continues the study on the relatively new concept of fuzzy differential subordination conducted in some recently published cited papers. In this article, certain fuzzy subordination results for analytical functions involving the Ata...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
1 Citations
3,106 Views
17 Pages

14 October 2021

The all-at-once technique has attracted many researchers’ interest in recent years. In this paper, we combine this technique with a classical symplectic and symmetric method for solving Hamiltonian systems. The solutions at all time steps are obtaine...

(This article belongs to the Special Issue PDE, Optimization Modeling and Symmetry in Multi-Dimensional Data and Low-Level Vision Tasks)
  • Article
  • Open Access
8 Citations
5,959 Views
17 Pages

14 October 2021

By means of Clifford Algebra, a unified language and tool to describe the rules of nature, this paper systematically discusses the dynamics and properties of spinor fields in curved space-time, such as the decomposition of the spinor connection, the...

(This article belongs to the Special Issue Symmetry in Quantum Theory of Gravity)
  • Article
  • Open Access
29 Citations
5,044 Views
13 Pages

14 October 2021

Fuzzy logic is an approach that reflects human thinking and decision making by handling uncertainty and vagueness using fuzzy membership functions. When a human is engaged in the design of a fuzzy system, symmetric properties are naturally preferred....

  • Article
  • Open Access
15 Citations
3,178 Views
21 Pages

On Weighted Simpson’s 38 Rule

  • Mohsen Rostamian Delavar,
  • Artion Kashuri and
  • Manuel De La Sen

14 October 2021

Numerical approximations of definite integrals and related error estimations can be made using Simpson’s rules (inequalities). There are two well-known rules: Simpson’s 13 rule or Simpson’s quadrature formula and Simpson’s 38 rule or Simpson’s second...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
19 Citations
3,919 Views
12 Pages

14 October 2021

Companies in the same supply chain influence each other, so sharing information enables more efficient supply chain management. An efficient supply chain must have a symmetry of information between participating entities, but in reality, the informat...

(This article belongs to the Special Issue Simulation and Modelling in Natural Sciences, Economics, Biomedicine and Engineering II)
  • Article
  • Open Access
4 Citations
2,765 Views
8 Pages

14 October 2021

The effect of KrF excimer laser irradiation on the optical and electrical properties of epitaxial wafers with a p-GaN surface were investigated at different laser energy densities and pulse numbers. The laser-irradiated samples were annealed in oxyge...

(This article belongs to the Special Issue Chirality Applied in Spintronics, Ferroics and Light–Matter Interactions)
  • Article
  • Open Access
8 Citations
4,524 Views
16 Pages

Geodesic Hermite Spline Curve on Triangular Meshes

  • Yujin Ha,
  • Jung-Ho Park and
  • Seung-Hyun Yoon

14 October 2021

Curves on a polygonal mesh are quite useful for geometric modeling and processing such as mesh-cutting and segmentation. In this paper, an effective method for constructing C1 piecewise cubic curves on a triangular mesh M while interpolating the give...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
1 Citations
1,725 Views
10 Pages

Game-Theoretic Dynamic Procedure for a Power Index under Relative Symmetry

  • Jong-Chin Huang,
  • Kelvin H.-C. Chen and
  • Yu-Hsien Liao

13 October 2021

In many operational processes, a suitable combination of participating elements has a huge impact throughout the entire process. In the real environment, however, many combinations show less than expected results in the initial stage. In consideratio...

(This article belongs to the Section B: Mathematics)

of 5

XFacebookLinkedIn
Symmetry - ISSN 2073-8994