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Symmetry, Volume 10, Issue 5

May 2018 - 53 articles

Cover Story: We have formulated a numerical application of linear-molecule symmetry properties, described by the D ∞h point group, in terms of lower-order
D nh symmetry groups with finite n.
Character tables and irreducible representation transformation matrices are presented for D nh groups with arbitrary n-values. These groups can be used in the construction of symmetry-adapted ro-vibrational basis functions for solving Schrödinger equations of linear molecules. Their implementation into a symmetrisation procedure, based on a set of “reduced” vibrational eigenvalue problems with simplified Hamiltonians, is used as a practical example. View the paper here.
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Articles (53)

  • Feature Paper
  • Article
  • Open Access
14 Citations
6,083 Views
18 Pages

22 May 2018

On the basis of the circular arc sliding model of the limit equilibrium method, an axisymmetric arc sliding method (AASM) is proposed to analyze the basal heave stability of braced circular excavations. The proposed method considers the stiffness of...

  • Article
  • Open Access
3 Citations
3,427 Views
14 Pages

Network Embedding via a Bi-Mode and Deep Neural Network Model

  • Yang Fang,
  • Xiang Zhao,
  • Zhen Tan and
  • Weidong Xiao

22 May 2018

Network embedding (NE) is an important method to learn the representations of a network via a low-dimensional space. Conventional NE models focus on capturing the structural information and semantic information of vertices while neglecting such infor...

  • Article
  • Open Access
33 Citations
3,855 Views
12 Pages

21 May 2018

The probabilistic hesitant fuzzy element is a common tool to deal with multi-criteria decision-making problems when the decision makers are irresolute in providing their evaluations. The existing methods for ranking probabilistic hesitant fuzzy eleme...

  • Article
  • Open Access
8 Citations
3,896 Views
19 Pages

21 May 2018

With the remarkable promotion of e-commerce platforms, consumers increasingly prefer to purchase products online. Online ratings facilitate consumers to choose among products. Thus, to help consumers effectively select products, it is necessary to pr...

  • Article
  • Open Access
14 Citations
5,820 Views
20 Pages

20 May 2018

Sweat pores on the human fingertip have meaningful patterns that enable individual identification. Although conventional automatic fingerprint identification systems (AFIS) have mainly employed the minutiae features to match fingerprints, there has b...

  • Article
  • Open Access
6 Citations
3,878 Views
11 Pages

20 May 2018

In the recent years, school administrators often come across various problems while teaching, counseling, and promoting and providing other services which engender disagreements and interpersonal conflicts between students, the administrative staff,...

  • Article
  • Open Access
121 Citations
5,345 Views
24 Pages

18 May 2018

The proposed q-rung orthopair fuzzy set (q-ROFS) and picture fuzzy set (PIFS) are two powerful tools for depicting fuzziness and uncertainty. This paper proposes a new tool, called q-rung picture linguistic set (q-RPLS) to deal with vagueness and imp...

  • Article
  • Open Access
62 Citations
4,975 Views
21 Pages

On Topological Properties of Symmetric Chemical Structures

  • Muhammad Imran,
  • Muhammad Kamran Siddiqui,
  • Muhammad Naeem and
  • Muhammad Azhar Iqbal

18 May 2018

The utilizations of graph theory in chemistry and in the study of molecule structures are more than someone’s expectations, and, lately, it has increased exponentially. In molecular graphs, atoms are denoted by vertices and bonds by edges. In t...

  • Article
  • Open Access
6 Citations
3,576 Views
19 Pages

Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras

  • Songtao Shao,
  • Xiaohong Zhang,
  • Chunxin Bo and
  • Florentin Smarandache

18 May 2018

The notions of the neutrosophic hesitant fuzzy subalgebra and neutrosophic hesitant fuzzy filter in pseudo-BCI algebras are introduced, and some properties and equivalent conditions are investigated. The relationships between neutrosophic hesitant fu...

  • Article
  • Open Access
35 Citations
6,442 Views
13 Pages

Adaptive Incremental Genetic Algorithm for Task Scheduling in Cloud Environments

  • Kairong Duan,
  • Simon Fong,
  • Shirley W. I. Siu,
  • Wei Song and
  • Steven Sheng-Uei Guan

17 May 2018

Cloud computing is a new commercial model that enables customers to acquire large amounts of virtual resources on demand. Resources including hardware and software can be delivered as services and measured by specific usage of storage, processing, ba...

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Symmetry - ISSN 2073-8994