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Mathematics, Volume 5, Issue 3

September 2017 - 12 articles

Cover Story: We studied arithmetic orientable hyperbolic n-orbifolds of small volume and have discovered that they are closely related to hyperbolic Coxeter polyhedra with few facets and with highly symmetric Coxeter graphs. First, we identified the arithmetic lattices in Isom+text of minimal covolume for even dimensions n up to 18. Then, we elaborated on the related problems in higher odd dimensions and provided solutions for n = 11 and n = 13 in terms of the rotation subgroup of certain Coxeter pyramid groups. Figure produced by Simon Drewitz View this paper
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Articles (12)

  • Article
  • Open Access
13 Citations
3,902 Views
20 Pages

4 September 2017

In this paper, the information fusion estimation problem is investigated for a class of multisensor linear systems affected by different kinds of stochastic uncertainties, using both the distributed and the centralized fusion methodologies. It is ass...

  • Article
  • Open Access
1 Citations
3,201 Views
18 Pages

On the Uniqueness Results and Value Distribution of Meromorphic Mappings

  • Rahman Ullah,
  • Xiao-Min Li,
  • Faiz Faizullah,
  • Hong-Xun Yi and
  • Riaz Ahmad Khan

17 August 2017

This research concentrates on the analysis of meromorphic mappings. We derived several important results for value distribution of specific difference polynomials of meromorphic mappings, which generalize the work of Laine and Yang. In addition, we p...

  • Feature Paper
  • Review
  • Open Access
43 Citations
9,987 Views
31 Pages

3 August 2017

In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations,...

  • Article
  • Open Access
18 Citations
4,610 Views
23 Pages

This paper proposes confidence intervals for a single mean and difference of two means of normal distributions with unknown coefficients of variation (CVs). The generalized confidence interval (GCI) approach and large sample (LS) approach were propos...

  • Article
  • Open Access
3 Citations
4,638 Views
21 Pages

This study aimed at investigating a local radial basis function collocation method (LRBFCM) in the reproducing kernel Hilbert space. This method was, in fact, a meshless one which applied the local sub-clusters of domain nodes for the approximation o...

  • Article
  • Open Access
4,446 Views
72 Pages

The contribution of this article is quadruple. It (1) unifies various schemes of premodels/models including situations such as presheaves/sheaves, sheaves/flabby sheaves, prespectra/ Ω -spectra, simplicial topological spaces/(complete) Segal spac...

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Mathematics - ISSN 2227-7390Creative Common CC BY license