Open Access Case study

Green Computing: A Case Study of Electricity Distribution in Jordan

Nada Al Sallami, Ali Al daoud, Sarmad Al Alossi

Journal of Advances in Mathematics and Computer Science, Page 337-345
DOI: 10.9734/BJMCS/2015/16460

This paper used a modified Neural Network algorithm for green load balancing. The algorithm applied to electricity distribution problem of Jordan. Neural network learns to predict the demand of electricity in Jordan and allocates electricity according to that prediction. Back-propagation learning algorithm is used to train neural network. Training process depends on Electricity Distribution Parameters, which are: Sector Type, and Weather Type and Daytime. These parameters are selected with respect to Jordan nature. After training, the algorithm always maintains the active servers according to current values of these parameters. As a result, energy consumption will be low and Green computing is achieved.

Open Access Original Research Article

Filtrations and Deductive Systems in BCL+ Algebras

Yonghong Liu

Journal of Advances in Mathematics and Computer Science, Page 274-285
DOI: 10.9734/BJMCS/2015/15901

The aim of this paper is to introduce the two notions of filtrations and deductive systems in BCL+ algebras, and investigate some of their related properties. Using this, we prove that the filtration is subalgebra of BCL+ algebras; we also prove that the filtration of BCL+ algebras is a deductive system to the filtration of BCL+ algebras with certain relations.

Open Access Original Research Article

On Linear Harbourne Constants

Justyna Szpond

Journal of Advances in Mathematics and Computer Science, Page 286-297
DOI: 10.9734/BJMCS/2015/16922

In this note we compute values of global linear Harbourne constants over arbitrary fields for up to ten lines. These invariants have appeared recently in the discussions around the Bounded Negativity Conjecture, see [1]. They seem to be of independent interest also from the point of view of combinatorics.

Open Access Original Research Article

Detecting Plagiarism in Arabic E-Learning Using Text Mining

Farahat F. Farahat, Aziza S. Asem, Mahmoud A. Zaher, Ahmed M. Fahiem

Journal of Advances in Mathematics and Computer Science, Page 298-308
DOI: 10.9734/BJMCS/2015/14673

Being a growing problem, plagiarism is generally defined as a “literary theft” and an “academic dishonesty” in the literature, and it is really has to be well-informed on this topic to prevent the problem and stick to the ethical principles. Due to the hug of digital libraries and the information on World Wide Web, Plagiarism became a very important problem for researcher’s fields, schools and universities. Students can easily use web search engine to find journals or documents. So plagiarism is a global problem, which occurs in many different areas of our life. It is pivotal to mention here that detecting plagiarism is a challenging task.
On the other hand, electronic learning systems in countries with native language Arab require specified technology for plagiarism detection in documents written in Arabic language. Although Google and all search engines can be easy utilized, there will be very tedious efforts to copy a few words or sentences and paste them into the browser of the search engine to find resources of similar. For this reason, developing a tool for detecting plagiarism in Arabic electronic learning systems ease and speed up the process because plagiarism can be easily detected and automatically highlighted by just submitting the Arabic document to the system. Therefore, this paper propose An effective web-enabled system for Arabic plagiarism detection Using Text mining, ZPLAG, that can be integrated with electronic learning systems to judge students’ assignments, papers and dissertations, And presents its experimental results.

Open Access Original Research Article

On Projectively Related Kropina Metric

S. K. Narasimha Murthy, B. C. Chethana, G. N. Latha Kumari

Journal of Advances in Mathematics and Computer Science, Page 309-317
DOI: 10.9734/BJMCS/2015/15700

In the present paper, we study curvature properties of projectively flat Kropina metric and prove that two Finsler metrics Capture.PNGre projectively related if and only if they have thesame Douglas tensors. Further we showed that corresponding Riemannian metrics are projectively related.

Open Access Original Research Article

Discovering Geometric and Topological Properties of Ellipsoids by Curvatures

Lina Wu, Shihshu Walter Wei, Jia Liu, Ye Li

Journal of Advances in Mathematics and Computer Science, Page 318-329
DOI: 10.9734/BJMCS/2015/17178

Aims/ Objectives: We are interested in discovering the geometric, topological and physical properties of ellipsoids by analyzing curvature properties on ellipsoids. We begin with studying ellipsoids as a starting point. Our aim is to find a way to study geometric, topological and physical properties from the analytic curvature properties for convex hyper-surfaces in the general setting.
Study Design: Multiple-discipline study between Differential Geometry, Topology and Mathematical Physics.
Place and Duration of Study: Department of Mathematics (Borough of Manhattan Community College-The City University of New York), Department of Mathematics (University of Oklahoma), Department of Mathematics and Statistics (University of West Florida), and Department of Mathematics (Central Michigan University), between January 2014 and February 2015.

Methodology: Calculating curvatures of a surface is now at the threshold of a better understanding regarding geometric, topological and physical properties on a surface. In order to calculate various curvatures, we demonstrate the way to compute the second fundamental form associated with curvatures by extending the calculation method from spheres to ellipsoids.

Results: Just as curvatures of a sphere are determined by its radius, curvatures of an ellipsoid are determined by its longest axis and its shortest axis. On an ellipsoid, the value of the ratio of its longest axis to its shortest axis is also a critical index to characterize its geometric, topological and physical behaviors.
Conclusion: Our results on ellipsoids are extensions or generalizations of results of Lawson-Simons, Wei, and Simons on spheres, and Kobayashi-Ohnita-Takeuchi on an ellipsoid with “one variable”. Methods and research findings in this paper can lead to future research on convex hyper-surfaces.

Open Access Original Research Article

Longest Waiting Time in the Coupon Collector’s Problem

C. Brennan, J. Kariv, A. Knopfmacher

Journal of Advances in Mathematics and Computer Science, Page 330-336
DOI: 10.9734/BJMCS/2015/16934

The coupon collector’s problem is a classical problem usually solved by summing independent but not identically distributed geometric random variables. These geometric random variables represent waiting times for the j-th coupon for j = 1, 2,..... In this paper we address the question about the longest of these waiting times. In particular, we evaluate the moments of the longest waiting time.