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Symmetry, Volume 10, Issue 3

2018 March - 26 articles

Cover Story: Finite Unified Theories (FUTs) are $N=1$ supersymmetric grand unified theories that can be made finite to all orders in perturbation theory, based on the principle of the reduction of couplings. FUTs correctly predicted the mass of the top and bottom quarks as well as the standard model-like Higgs Boson. This is naturally realized using a heavy SUSY spectrum that escapes current and future LHC searches. Higher-energy $pp$ such as the FCC-hh will be able to test this model. View this paper
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Articles (26)

  • Feature Paper
  • Article
  • Open Access
2 Citations
3,210 Views
10 Pages

19 March 2018

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet boundary conditio...

  • Article
  • Open Access
14 Citations
4,028 Views
15 Pages

19 March 2018

In this paper, an improved set-membership proportionate normalized least mean square (SM-PNLMS) algorithm is proposed for block-sparse systems. The proposed algorithm, which is named the block-sparse SM-PNLMS (BS-SMPNLMS), is implemented by inserting...

  • Article
  • Open Access
3 Citations
4,163 Views
9 Pages

19 March 2018

An updated Power Index Method is presented for nonlinear differential equations (NLPDEs) with the aim of reducing them to solutions by algebraic equations. The Lie symmetry, translation invariance of independent variables, allows for traveling waves....

  • Article
  • Open Access
98 Citations
11,493 Views
14 Pages

19 March 2018

Copyright protection for digital multimedia has become a research hotspot in recent years. As an efficient solution, the digital watermarking scheme has emerged at the right moment. In this article, a highly robust and hybrid watermarking method is p...

  • Article
  • Open Access
11 Citations
4,269 Views
15 Pages

Ensemble Genetic Fuzzy Neuro Model Applied for the Emergency Medical Service via Unbalanced Data Evaluation

  • Muammar Sadrawi,
  • Wei-Zen Sun,
  • Matthew Huei-Ming Ma,
  • Yu-Ting Yeh,
  • Maysam F. Abbod and
  • Jiann-Shing Shieh

17 March 2018

Equally partitioned data are essential for prediction. However, in some important cases, the data distribution is severely unbalanced. In this study, several algorithms are utilized to maximize the learning accuracy when dealing with a highly unbalan...

  • Article
  • Open Access
10 Citations
4,472 Views
18 Pages

Nonclassical Symmetry Solutions for Fourth-Order Phase Field Reaction–Diffusion

  • Philip Broadbridge,
  • Dimetre Triadis,
  • Dilruk Gallage and
  • Pierluigi Cesana

17 March 2018

Using the nonclassical symmetry of nonlinear reaction–diffusion equations, some exact multi-dimensional time-dependent solutions are constructed for a fourth-order Allen–Cahn–Hilliard equation. This models a phase field that gives a phenomenological...

  • Article
  • Open Access
7 Citations
6,253 Views
25 Pages

17 March 2018

The automatic detection, segmentation, localization, and evaluation of the optic disc, macula, exudates, and hemorrhages are very important for diagnosing retinal diseases. One of the difficulties in detecting such regions of interest (RoIs) with com...

  • Article
  • Open Access
6 Citations
3,844 Views
10 Pages

16 March 2018

It is known that the Casimir self-energy of a homogeneous dielectric ball is divergent, although a finite self-energy can be extracted through second order in the deviation of the permittivity from the vacuum value. The exception occurs when the spee...

  • Article
  • Open Access
5 Citations
5,155 Views
19 Pages

Enabling Symmetric Collaboration in Public Spaces through 3D Mobile Interaction

  • Mayra Donaji Barrera Machuca,
  • Winyu Chinthammit,
  • Weidong Huang,
  • Rainer Wasinger and
  • Henry Duh

16 March 2018

Collaboration has been common in workplaces in various engineering settings and in our daily activities. However, how to effectively engage collaborators with collaborative tasks has long been an issue due to various situational and technical constra...

  • Feature Paper
  • Review
  • Open Access
14 Citations
3,548 Views
17 Pages

16 March 2018

The use of automorphisms of the various Bianchi-type Lie algebras as Lie-point symmetries of the corresponding Einstein field equations entails a reduction of their order and ultimately leads to the entire solution space. When a valid reduced action...

  • Article
  • Open Access
3 Citations
4,779 Views
16 Pages

15 March 2018

The information of human occupancy plays a crucial role in building management. For instance, fewer people, less demand for heat and electricity supply, and vice versa. Moreover, when there is a fire in a building, it is convenient to know how many p...

  • Feature Paper
  • Article
  • Open Access
8 Citations
4,902 Views
28 Pages

15 March 2018

A Pogorelov polytope is a combinatorial simple 3-polytope realizable in the Lobachevsky (hyperbolic) space as a bounded right-angled polytope. These polytopes are exactly simple 3-polytopes with cyclically 5-edge connected graphs. A Pogorelov polytop...

  • Article
  • Open Access
28 Citations
8,139 Views
22 Pages

Spectrum Graph Coloring and Applications to Wi-Fi Channel Assignment

  • David Orden,
  • Jose Manuel Gimenez-Guzman,
  • Ivan Marsa-Maestre and
  • Enrique De la Hoz

14 March 2018

We introduce and explore a family of vertex-coloring problems, which, surprisingly enough, have not been considered before despite stemming from the problem of Wi-Fi channel assignment. Given a spectrum of colors, endowed with a matrix of interferenc...

  • Article
  • Open Access
24 Citations
10,827 Views
18 Pages

Vision-Based Parking-Slot Detection: A Benchmark and A Learning-Based Approach

  • Lin Zhang,
  • Xiyuan Li,
  • Junhao Huang,
  • Ying Shen and
  • Dongqing Wang

13 March 2018

Recent years have witnessed a growing interest in developing automatic parking systems in the field of intelligent vehicles. However, how to effectively and efficiently locating parking-slots using a vision-based system is still an unresolved issue....

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,887 Views
17 Pages

11 March 2018

Virtual network embedding (VNE) is a key technology in network virtualization. Advantages of network symmetry are well known in the design of load-balanced routing algorithms and in network performance analysis. Our work in this paper shows that bene...

  • Article
  • Open Access
3 Citations
3,726 Views
14 Pages

7 March 2018

Quantum fluctuations of the electromagnetic field give rise to the force between parallel plates: the Casimir force. We theoretically calculate the Casimir force between two parallel isotropic plates when the space between the plates is filled with a...

  • Article
  • Open Access
22 Citations
4,577 Views
14 Pages

Microstructure and Properties of the Ferroelectric-Ferromagnetic PLZT-Ferrite Composites

  • Dariusz Bochenek,
  • Przemysław Niemiec,
  • Joanna Korzekwa,
  • Bartłomiej Durtka and
  • Zbigniew Stokłosa

6 March 2018

The paper presents the technology of ferroelectric-ferromagnetic ceramic composites obtained from PLZT powder (the chemical formula Pb0.98La0.02(Zr0.90Ti0.10)0.995O3) and ferrite powder (Ni0.64Zn0.36Fe2O4), as well as the results of X-ray powder-diff...

  • Article
  • Open Access
29 Citations
5,911 Views
16 Pages

6 March 2018

The automatic analysis of the state of the corneal endothelium is of much interest in ophthalmology. Up till now, several manual and semi-automatic methods have been introduced, but the need of fully-automatic segmentation of cells in the endothelium...

  • Article
  • Open Access
31 Citations
5,991 Views
25 Pages

Cuckoo Search Algorithm with Lévy Flights for Global-Support Parametric Surface Approximation in Reverse Engineering

  • Andrés Iglesias,
  • Akemi Gálvez,
  • Patricia Suárez,
  • Mikio Shinya,
  • Norimasa Yoshida,
  • César Otero,
  • Cristina Manchado and
  • Valentin Gomez-Jauregui

3 March 2018

This paper concerns several important topics of the Symmetry journal, namely, computer-aided design, computational geometry, computer graphics, visualization, and pattern recognition. We also take advantage of the symmetric structure of the tensor-pr...

  • Article
  • Open Access
2 Citations
4,002 Views
13 Pages

1 March 2018

This paper proposes a novel tangible interface system to enhance the immersive experience in virtual reality environments. The proposed system allows representing physical properties of the tool, such as the deflection of the elastic rods, which user...

  • Feature Paper
  • Review
  • Open Access
3,424 Views
9 Pages

Organophosphines in Cis-PtP2CCl Derivatives Structural Aspects

  • Milan Melnik,
  • Peter Mikus and
  • Clive Edward Holloway

28 February 2018

This manuscript summarizes and analyzes X-ray data of monomeric cis-PtP2CCl derivatives. These complexes crystallize in the following crystal systems: tetragonal, P42/n (3), triclinic, Pī (10), orthorhombic, P212121 (prevails)(16), and monoclinic, P2...

  • Feature Paper
  • Article
  • Open Access
12 Citations
4,185 Views
26 Pages

27 February 2018

This review deals with ideas and approaches to nonlinear phenomena, based on different branches of physics and related to biological systems, that focus on how small impacts can significantly change the state of the system at large spatial scales. Th...

  • Feature Paper
  • Article
  • Open Access
12 Citations
4,111 Views
16 Pages

Renormalization for a Scalar Field in an External Scalar Potential

  • Stephen A. Fulling,
  • Thomas E. Settlemyre and
  • Kimball A. Milton

27 February 2018

The Pauli–Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential are isolated...

  • Feature Paper
  • Article
  • Open Access
8 Citations
8,996 Views
16 Pages

26 February 2018

In the frame of a generic language extended from the polarization theory—comprising the notions of Poincaré vectors, Poincaré sphere, and P-spheres—a geometric approach to Lorentz transformations alternative to the Minkowskian one is given. Unlike th...

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Symmetry - ISSN 2073-8994