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Symmetry, Volume 11, Issue 1

January 2019 - 122 articles

Cover Story: Though Lorentz symmetry is a founding principle of the current best theories of physics, some efforts to further unify known interactions have discovered the possibility that Lorentz symmetry might be violated in nature. In this work, we present some examples of symmetry violation in physics with an aim of making these ideas more accessible to those outside of the field. View this paper.
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Articles (122)

  • Article
  • Open Access
94 Citations
4,523 Views
19 Pages

18 January 2019

Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neut...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,450 Views
12 Pages

Periodic Orbits of Third Kind in the Zonal J2 + J3 Problem

  • M. Teresa de Bustos,
  • Antonio Fernández,
  • Miguel A. López,
  • Raquel Martínez and
  • Juan A. Vera

18 January 2019

In this work, the periodic orbits’ phase portrait of the zonal J 2 + J 3 problem is studied. In particular, we center our attention on the periodic orbits of the third kind in the Poincaré sense using the averaging theory of...

  • Article
  • Open Access
8 Citations
3,049 Views
12 Pages

18 January 2019

In the paper, we discuss some similarity solutions of the time-fractional Burgers system (TFBS). Firstly, with the help of the Lie-point symmetry and the corresponding invariant variables, we transform the TFBS to a fractional ordinary differential s...

  • Article
  • Open Access
2 Citations
3,333 Views
13 Pages

Local Convergence of a Family of Weighted-Newton Methods

  • Ramandeep Behl,
  • Ioannis K. Argyros,
  • J.A. Tenreiro Machado and
  • Ali Saleh Alshomrani

17 January 2019

This article considers the fourth-order family of weighted-Newton methods. It provides the range of initial guesses that ensure the convergence. The analysis is given for Banach space-valued mappings, and the hypotheses involve the derivative of orde...

  • Feature Paper
  • Article
  • Open Access
5 Citations
3,464 Views
29 Pages

High Energy Behavior in Maximally Supersymmetric Gauge Theories in Various Dimensions

  • Dmitry Kazakov,
  • Leonid Bork,
  • Arthur Borlakov,
  • Denis Tolkachev and
  • Dmitry Vlasenko

17 January 2019

Maximally supersymmetric field theories in various dimensions are believed to possess special properties due to extended supersymmetry. In four dimensions, they are free from UV divergences but are IR divergent on shell; in higher dimensions, on the...

  • Article
  • Open Access
4 Citations
3,287 Views
9 Pages

17 January 2019

Based on the conditions a b 2 = 0 and b π ( a b ) ∈ A d , we derive that ( a b ) n , ( b a ) n , and a b + b a are all generalized Drazin invertible in a Banach algebra A , where n &...

  • Article
  • Open Access
10 Citations
4,310 Views
16 Pages

17 January 2019

Flying ad hoc network (FANET) is a communication network for data transmission among Unmanned Aerial Vehicles (UAVs). In ad hoc network, the UAVs movement is usually applied to improve network fault-tolerance, but it easily causes the disconnection o...

  • Article
  • Open Access
31 Citations
7,912 Views
16 Pages

Visualization of High-Dimensional Data by Pairwise Fusion Matrices Using t-SNE

  • Mujtaba Husnain,
  • Malik Muhammad Saad Missen,
  • Shahzad Mumtaz,
  • Muhammad Muzzamil Luqman,
  • Mickaël Coustaty and
  • Jean-Marc Ogier

17 January 2019

We applied t-distributed stochastic neighbor embedding (t-SNE) to visualize Urdu handwritten numerals (or digits). The data set used consists of 28 × 28 images of handwritten Urdu numerals. The data set was created by inviting authors from diff...

  • Feature Paper
  • Article
  • Open Access
10 Citations
3,449 Views
15 Pages

17 January 2019

Developable surfaces, which are important objects of study, have attracted a lot of attention from many mathematicians. In this paper, we study the geometric properties of one-parameter developable surfaces associated with regular curves. According t...

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Symmetry - ISSN 2073-8994