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Mathematics, Volume 6, Issue 7

2018 July - 22 articles

Cover Story: Diversity is fundamental to ecology, and its measurement is essential for many ecosystem studies. We review the crowded landscape of diversity indices and summarize the key concepts underlying diversity measurement. We discuss the relative advantages of the most common indices, provide axioms and recommendations to motivate scientists’ choice of index, and highlight the mathematical relationships between indices. View this paper
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Articles (22)

  • Article
  • Open Access
3 Citations
3,906 Views
17 Pages

21 July 2018

The broadcast performance of the 802.11 wireless protocol depends on several factors. One of the important factor is the number of nodes simultaneously contending for the shared channel. The Medium Access Control (MAC) technique of 802.11 is called t...

  • Article
  • Open Access
6 Citations
3,571 Views
37 Pages

Soft Rough Neutrosophic Influence Graphs with Application

  • Hafsa Masood Malik,
  • Muhammad Akram and
  • Florentin Smarandache

18 July 2018

In this paper, we apply the notion of soft rough neutrosophic sets to graph theory. We develop certain new concepts, including soft rough neutrosophic graphs, soft rough neutrosophic influence graphs, soft rough neutrosophic influence cycles and soft...

  • Article
  • Open Access
28 Citations
7,145 Views
13 Pages

Eccentricity Based Topological Indices of an Oxide Network

  • Muhammad Imran,
  • Muhammad Kamran Siddiqui,
  • Amna A. E. Abunamous,
  • Dana Adi,
  • Saida Hafsa Rafique and
  • Abdul Qudair Baig

18 July 2018

Graph theory has much great advances in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide applications in mathematical chemistry. The molecular topological descriptors are the num...

  • Article
  • Open Access
3 Citations
3,967 Views
13 Pages

Decomposition of Dynamical Signals into Jumps, Oscillatory Patterns, and Possible Outliers

  • Elena Barton,
  • Basad Al-Sarray,
  • Stéphane Chrétien and
  • Kavya Jagan

16 July 2018

In this note, we present a component-wise algorithm combining several recent ideas from signal processing for simultaneous piecewise constants trend, seasonality, outliers, and noise decomposition of dynamical time series. Our approach is entirely ba...

  • Article
  • Open Access
15 Citations
3,818 Views
16 Pages

11 July 2018

In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator. In addition, we establish an integral identity and some Fejér–Hadamard type...

  • Article
  • Open Access
13 Citations
3,713 Views
19 Pages

Global Stability of Within-Host Virus Dynamics Models with Multitarget Cells

  • Ahmed M. Elaiw,
  • Taofeek O. Alade and
  • Saud M. Alsulami

10 July 2018

In this paper, we study the stability analysis of two within-host virus dynamics models with antibody immune response. We assume that the virus infects n classes of target cells. The second model considers two types of infected cells: (i) latently in...

  • Review
  • Open Access
241 Citations
28,937 Views
28 Pages

Ecological Diversity: Measuring the Unmeasurable

  • Aisling J. Daly,
  • Jan M. Baetens and
  • Bernard De Baets

10 July 2018

Diversity is a concept central to ecology, and its measurement is essential for any study of ecosystem health. But summarizing this complex and multidimensional concept in a single measure is problematic. Dozens of mathematical indices have been prop...

  • Article
  • Open Access
2 Citations
5,294 Views
10 Pages

10 July 2018

Let G be a finite group and ω(G) be the set of element orders of G. Let k∈ω(G) and mk be the number of elements of order k in G. Let nse(G)={mk|k∈ω(G)}. In this paper, we prove that if G is a finite group such that nse(G)...

  • Article
  • Open Access
22 Citations
3,376 Views
16 Pages

10 July 2018

Neutrosophic sets (NSs) are used to illustrate uncertain, inconsistent, and indeterminate information existing in real-world problems. Double-valued neutrosophic sets (DVNSs) are an alternate form of NSs, in which the indeterminacy has two distinct p...

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Mathematics - ISSN 2227-7390