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Symmetry, Volume 13, Issue 2

February 2021 - 209 articles

Cover Story: As a tetrahedron could be assembled out of four identical pieces, a tetramer of phosphonic acid self-assembles out of four chemically equivalent monomers. Each monomer is interlinked to three others, which sums up to eight strong hydrogen bonds per tetramer, giving a robust and rigid structure to the resulting cage-like supramolecular complex. View this paper.
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Articles (209)

  • Article
  • Open Access
4 Citations
2,282 Views
8 Pages

22 February 2021

Bootstrapped Newtonian gravity was developed with the purpose of estimating the impact of quantum physics in the nonlinear regime of the gravitational interaction, akin to corpuscular models of black holes and inflation. In this work, we set the grou...

  • Article
  • Open Access
8 Citations
2,433 Views
12 Pages

22 February 2021

In this paper, we study two-dimensional divisor problems of the Fourier coefficients of some automorphic product L-functions attached to the primitive holomorphic cusp form f(z) with weight k for the full modular group SL2(Z). Additionally, we establ...

  • Article
  • Open Access
4 Citations
2,701 Views
11 Pages

Gait Symmetry Analysis in Patients after Treatment of Pilon Fractures by the Ilizarov Method

  • Łukasz Pawik,
  • Paweł Wietecki,
  • Artur Leśkow,
  • Andżelika Pajchert Kozłowska,
  • Sławomir Żarek,
  • Radosław Górski,
  • Malwina Pawik,
  • Felicja Fink-Lwow,
  • Wiktor Urbański and
  • Piotr Morasiewicz

21 February 2021

The aim of this study was to comprehensively assess the gait parameters in patients who had undergone treatment of pilon fractures by the Ilizarov method. We analyzed gait parameters in patients who had undergone treatment for pilon fractures by the...

  • Article
  • Open Access
4 Citations
4,279 Views
19 Pages

Supersymmetric Partners of the One-Dimensional Infinite Square Well Hamiltonian

  • Manuel Gadella,
  • José Hernández-Muñoz,
  • Luis Miguel Nieto and
  • Carlos San Millán

21 February 2021

We find supersymmetric partners of a family of self-adjoint operators which are self-adjoint extensions of the differential operator −d2/dx2 on L2[−a,a], a>0, that is, the one dimensional infinite square well. First of all, we classify these self-...

  • Article
  • Open Access
4 Citations
2,438 Views
16 Pages

21 February 2021

In this work we establish a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of the arc tangent function. We prove that the constant factor, which is associated with the cosine function, is opti...

  • Article
  • Open Access
17 Citations
2,704 Views
14 Pages

Complexity and Chimera States in a Network of Fractional-Order Laser Systems

  • Shaobo He,
  • Hayder Natiq,
  • Santo Banerjee and
  • Kehui Sun

20 February 2021

By applying the Adams-Bashforth-Moulton method (ABM), this paper explores the complexity and synchronization of a fractional-order laser dynamical model. The dynamics under the variance of derivative order q and parameters of the system have examined...

  • Article
  • Open Access
7 Citations
3,649 Views
18 Pages

20 February 2021

Three-complex numbers are introduced for using a geometric vector product in the three-dimensional Euclidean vector space R3 and proving its equivalence with a spherical coordinate product. Based upon the definitions of the geometric power and geomet...

  • Article
  • Open Access
9 Citations
4,244 Views
13 Pages

20 February 2021

The study is a part of a research project, which explores the role of creative perception in creative behavior. We operationalized creative behavior as an ability to overcome structured imagination, as measured by the Invented Alien Creature test, an...

  • Article
  • Open Access
5 Citations
2,916 Views
13 Pages

Assessing a Multi-Objective Genetic Algorithm with a Simulated Environment for Energy-Saving of Air Conditioning Systems with User Preferences

  • Alejandro Humberto García Ruiz,
  • Salvador Ibarra Martínez,
  • José Antonio Castán Rocha,
  • Jesús David Terán Villanueva,
  • Julio Laria Menchaca,
  • Mayra Guadalupe Treviño Berrones,
  • Mirna Patricia Ponce Flores and
  • Aurelio Alejandro Santiago Pineda

20 February 2021

Electricity is one of the most important resources for the growth and sustainability of the population. This paper assesses the energy consumption and user satisfaction of a simulated air conditioning system controlled with two different optimization...

  • Article
  • Open Access
3 Citations
2,870 Views
17 Pages

A Dimensionality Reduction Algorithm for Unstructured Campus Big Data Fusion

  • Zhenfei Wang,
  • Yan Wang,
  • Liying Zhang,
  • Chuchu Zhang and
  • Xingjin Zhang

20 February 2021

Data modeling and dimensionality reduction are important research points in the field of big data. At present, there is no effective model to realize the consistent representation and fusion of different types of data of students in unstructured camp...

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Symmetry - ISSN 2073-8994