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Mathematics, Volume 6, Issue 8

August 2018 - 14 articles

Cover Story: To simultaneously address uncertainties in the rock mechanical properties and high computational requirements associated with the conventional model predictive control approach to calculating the control moves at each sampling time, we proposed an approximate dynamic programming-based approach for the closed-loop control of hydraulic fracturing to achieve the target proppant concentration at the end of pumping, which is directly related to the production rate of oil reservoirs. View this paper.
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Articles (14)

  • Article
  • Open Access
6 Citations
3,971 Views
15 Pages

Eccentricity-Based Topological Indices of a Cyclic Octahedron Structure

  • Manzoor Ahmed Zahid,
  • Abdul Qudair Baig,
  • Muhammad Naeem and
  • Muhammad Razwan Azhar

17 August 2018

In this article, we study the chemical graph of a cyclic octahedron structure of dimension n and compute the eccentric connectivity polynomial, the eccentric connectivity index, the total eccentricity, the average eccentricity, the first Zagreb index...

  • Article
  • Open Access
8 Citations
4,600 Views
15 Pages

Causality Effects of Interventions and Stressors on Driving Behaviors under Typical Conditions

  • Juan Pablo Gomez,
  • Derya Akleman,
  • Ergun Akleman and
  • Ioannis Pavlidis

14 August 2018

In this paper, we demonstrate that interventions and stressors do not necessarily cause the same distractions in all people; therefore, it is impossible to evaluate the impacts of interventions and stressors on traffic accidents. We analyzed publicly...

  • Article
  • Open Access
3,900 Views
9 Pages

14 August 2018

Let X ⊂ P r be an integral and non-degenerate variety. We study when a finite set S ⊂ X evinces the X-rank of the general point of the linear span of S. We give a criterion when X is the order d Veronese embedding X n ,...

  • Article
  • Open Access
2 Citations
3,442 Views
9 Pages

13 August 2018

Intuitionistic falling shadow is introduced, and applied to B C K / B C I -algebras. Falling intuitionistic subalgebra and falling intuitionistic ideal of B C K / B C I -algebras are introduced, and related properties are investigated....

  • Article
  • Open Access
104 Citations
6,858 Views
27 Pages

10 August 2018

Pythagorean fuzzy sets (PFSs), an extension of intuitionistic fuzzy sets (IFSs), inherit the duality property of IFSs and have a more powerful ability than IFSs to model the obscurity in practical decision-making problems. In this research study, we...

  • Article
  • Open Access
13 Citations
4,043 Views
10 Pages

Computing Topological Indices and Polynomials for Line Graphs

  • Shahid Imran,
  • Muhammad Kamran Siddiqui,
  • Muhammad Imran and
  • Muhammad Faisal Nadeem

10 August 2018

A topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point,...

  • Feature Paper
  • Article
  • Open Access
16 Citations
9,392 Views
10 Pages

Explicit Baker–Campbell–Hausdorff Expansions

  • Alexander Van-Brunt and
  • Matt Visser

8 August 2018

The Baker–Campbell–Hausdorff (BCH) expansion is a general purpose tool of use in many branches of mathematics and theoretical physics. Only in some special cases can the expansion be evaluated in closed form. In an earlier article we demo...

  • Article
  • Open Access
2 Citations
3,856 Views
12 Pages

4 August 2018

Let T(X,Y) be the semigroup consisting of all total transformations from X into a fixed nonempty subset Y of X. For an equivalence relation ρ on X, let ρ^ be the restriction of ρ on Y, R a cross-section of Y/ρ^ and define T(X,Y,ρ,...

  • Article
  • Open Access
4 Citations
3,237 Views
19 Pages

2 August 2018

In this paper, several portfolio choice models are studied: a purely possibilistic model in which the return of the risky is a fuzzy number, and four models in which the background risk appears in addition to the investment risk. In these four models...

  • Article
  • Open Access
38 Citations
6,309 Views
19 Pages

Approximate Dynamic Programming Based Control of Proppant Concentration in Hydraulic Fracturing

  • Harwinder Singh Sidhu,
  • Prashanth Siddhamshetty and
  • Joseph S. Kwon

1 August 2018

Hydraulic fracturing has played a crucial role in enhancing the extraction of oil and gas from deep underground sources. The two main objectives of hydraulic fracturing are to produce fractures with a desired fracture geometry and to achieve the targ...

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Mathematics - ISSN 2227-7390