Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr
<p><strong><em>Journal of Mathematics Research </em></strong>(ISSN: 1916-9795; E-ISSN 1916-9809) is an open-access, international, double-blind peer-reviewed journal published by the Canadian Center of Science and Education. This journal, published <strong>bimonthly</strong> (<span>February, April, June, August, October and December</span>) in <strong>both print and online versions</strong>, keeps readers up-to-date with the latest developments in all aspects of mathematics.</p><div class="Section1"><strong>The scopes of the journal </strong>include, but are not limited to, the following topics: statistics, approximation theory, numerical analysis, operations research, dynamical systems, mathematical physics, theory of computation, information theory, cryptography, graph theory, algebra, analysis, probability theory, geometry and topology, number theory, logic and foundations of mathematics. <em> </em></div><div class="Section1"><p>This journal accepts article submissions<strong> <a href="/journal/index.php/jmr/information/authors">online</a> or by <a href="mailto:jmr@ccsenet.org">e-mail</a> </strong>(jmr@ccsenet.org).</p></div><div class="Section1"><br /><br /><strong><strong><em><img src="/journal/public/site/images/jmr/jmr.jpg" alt="jmr" width="201" height="264" align="right" hspace="20" /></em></strong><strong>ABSTRACTING AND INDEXING:</strong></strong></div><div class="Section1"><strong><br /></strong></div><div class="Section1"><ul><li>BASE (Bielefeld Academic Search Engine)<strong><br /></strong></li><li><strong>EBSCOhost</strong></li><li>Google Scholar</li><li>JournalTOCs</li><li>LOCKSS</li><li><strong>MathEDUC</strong></li><li><strong><a href="http://www.ams.org/dmr/JournalList.html">Mathematical Reviews</a>® (<a href="http://www.ams.org/mathscinet">MathSciNet</a>®)</strong></li><li>MathGuide</li><li>NewJour</li><li>OCLC Worldcat</li><li>Open J-Gate</li><li><strong>ProQuest</strong></li><li>SHERPA/RoMEO</li><li>Standard Periodical Directory</li><li>Ulrich's</li><li>Universe Digital Library</li><li><strong><a href="https://zbmath.org/journals/?q=se:00006772">Zentralblatt MATH</a></strong></li></ul></div><div class="Section1"><strong><br /></strong></div><div class="Section1"> </div>en-USSubmission of an article implies that the work described has not been published previously (except in the form of an abstract or as part of a published lecture or academic thesis), that it is not under consideration for publication elsewhere, that its publication is approved by all authors and tacitly or explicitly by the responsible authorities where the work was carried out, and that, if accepted, will not be published elsewhere in the same form, in English or in any other language, without the written consent of the Publisher. The Editors reserve the right to edit or otherwise alter all contributions, but authors will receive proofs for approval before publication. <br />Copyrights for articles published in CCSE journals are retained by the authors, with first publication rights granted to the journal. The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.<br />jmr@ccsenet.org (Sophia Wang)jmr@ccsenet.org (Technical Support)Wed, 06 Jan 2016 22:27:51 -0800OJS 2.4.6.0http://blogs.law.harvard.edu/tech/rss60On Some Properties of *-annihilators and *-maximal Ideals in Rings with Involution
http://www.ccsenet.org/journal/index.php/jmr/article/view/54593
We describe the ∗-right annihilator (∗-left anihilator) of a subset of a ring and we investigate the relationships between the right annihilator and ∗-right annihilator. These connections permit the transfer of various properties from annihilators to ∗-annihilators . It is known that the quotient ring constructed from a ring and a maximal ideal is a field, whereas we prove that the quotient ring constructed from a ring and a *-maximal ideal is not a *-field. Equivalent definitions to ∗-regular ring are given.Maya A. Shatila
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/54593Wed, 06 Jan 2016 22:28:36 -0800Attacks on the Faithfulness of the Burau Representation of the Braid Group $B_4$
http://www.ccsenet.org/journal/index.php/jmr/article/view/54766
<p align="left">The faithfulness of the Burau representation of the 4-strand braid group, $B_4$, remains an open question.<br />In this work, there are two main results. First, we specialize the indeterminate $t$ to a complex number on the unit circle, and we find a necessary condition for a word of $B_4$ to belong to the kernel of the representation. Second, by using a simple algorithm,<br />we will be able to exclude a family of words in the generators from belonging to the kernel of the reduced Burau representation.</p>Mohammad Y. Chreif, Mohammad N. Abdulrahim
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http://www.ccsenet.org/journal/index.php/jmr/article/view/54766Wed, 06 Jan 2016 22:34:02 -0800Singular Values of Two Parameter Families $\lambda\dfrac{e^{az}-1}{z}$ and $\lambda\dfrac{z}{e^{az}-1}$
http://www.ccsenet.org/journal/index.php/jmr/article/view/55149
<p>The singular values of two parameter families of entire functions $f_{\lambda,a}(z)=\lambda\frac{e^{az}-1}{z}$, $f_{\lambda,a}(0)=\lambda a$ and meromorphic functions $g_{\lambda,a}(z)=\lambda\frac{z}{e^{az}-1}$, $g_{\lambda,a}(0)=\frac{\lambda}{a}$, $\lambda, a \in \mathbb{R} \backslash \{0\}$, $z \in \mathbb{C}$, are investigated. It is shown that all the critical values of $f_{\lambda,a}(z)$ and $g_{\lambda,a}(z)$ lie in the right half plane for $a<0$ and lie in the left half plane for $a>0$. It is described that the functions $f_{\lambda,a}(z)$ and $g_{\lambda,a}(z)$ have infinitely many singular values. It is also found that all the singular values $f_{\lambda,a}(z)$ are bounded and lie inside the open disk centered at origin and having radius $|\lambda a|$ and all the critical values of $g_{\lambda,a}(z)$ belong to the exterior of the disk centered at origin and having radius $|\frac{\lambda}{a}|$.</p>Mohammad Sajid
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/55149Wed, 06 Jan 2016 22:38:04 -0800A New Application Methodology of the Fourier Transform for Rational Approximation of the Complex Error Function
http://www.ccsenet.org/journal/index.php/jmr/article/view/54512
<p>This paper presents a new approach in application of the Fourier transform to the complex error function resulting in an efficient rational approximation. Specifically, the computational test shows that with only $17$ summation terms the obtained rational approximation of the complex error function provides accuracy ${10^{ - 15}}$ over the most domain of practical importance $0 \le x \le 40,000$ and ${10^{ - 4}} \le y \le {10^2}$ required for the HITRAN-based spectroscopic applications. Since the rational approximation does not contain trigonometric or exponential functions dependent upon the input parameters $x$ and $y$, it is rapid in computation. Such an example demonstrates that the considered methodology of the Fourier transform may be advantageous in practical applications.</p>S. M. Abrarov, B. M. Quine
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http://www.ccsenet.org/journal/index.php/jmr/article/view/54512Tue, 12 Jan 2016 18:43:52 -0800Eigenvalues and Eigenvectors in von Neumann and Related Growth Models: An Overview and Some Remarks
http://www.ccsenet.org/journal/index.php/jmr/article/view/54604
We take into consideration various relationships existing between<br />eigenvalues and eigenvectors of suitable matrices or matrix pairs and the equilibrium solutions of the classical von Neumann growth model and of other related economic models.Giorgi Giorgio
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/54604Tue, 12 Jan 2016 18:58:10 -0800The Boundary Value Problem with Haseman-shift for k-regular Functions on Unbounded Domains in Clifford Analysis
http://www.ccsenet.org/journal/index.php/jmr/article/view/56395
In this paper, we introduce the boundary value problem with Haseman shift for $k$-regular function on unbounded domains, and give the unique solution for this problem by integral equation<br />method and fixed-point theorem.Yan Zhang
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/56395Wed, 13 Jan 2016 00:00:00 -0800Consistency Bands for the Mean Excess Function and Application to Graphical Goodness-of-fit Test for Financial Data
http://www.ccsenet.org/journal/index.php/jmr/article/view/55410
<p>In this paper, we use the modern setting of functional empirical processes and recent techniques on uniform estimation for non parametric objects to derive consistency bands for the mean excess function in the i.i.d. case. We apply our results for modelling Dow Jones data to see how good the Generalized hyperbolic distribution fits monthly data.</p>Amadou Diadie Ba, El Hadj Deme, Cheikh Tidiane Seck, Gane Samb Lo
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http://www.ccsenet.org/journal/index.php/jmr/article/view/55410Sun, 24 Jan 2016 23:29:25 -0800Homotopy Equivalence of Hilbert $C$*-modules
http://www.ccsenet.org/journal/index.php/jmr/article/view/56752
<p>In this paper we introduce the concept of homotopy equivalence for Hilbert $C$*-modules and investigate some properties of this equivalence relation. We then<br />present the homotopy equivalence in the context of Fredholm operators on Hilbert $C$*-modules and classify these operators in terms of their index.</p>Gholamreza Abbaspour Tabadkan, Hessam Hosseinnezhad
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/56752Mon, 25 Jan 2016 00:00:00 -0800Alternating Group $A_5$ Actions on Homotopy $S^2\times S^2$
http://www.ccsenet.org/journal/index.php/jmr/article/view/56753
<p>Let $X$ be a smooth, closed 4-manifold which is homotopy equivalent to $S^2\times S^2$. By the Seiberg-Witten theory, we take $\mathrm{Ind}_{A_5}D_X$ as a virtual $A_5$-representation and give its concrete representation.<br /> We also study $\mathrm{Ind}_{A_5}D_X$ when $X$ is homotopy equivalent to $\sharp_n S^2 \times S^2$. Besides we give an example of our main theorem.</p>Hongxia Li
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/56753Mon, 25 Jan 2016 00:00:00 -0800Picard Approximation Method for Solving Nonlinear Quadratic Volterra Integral Equations
http://www.ccsenet.org/journal/index.php/jmr/article/view/56754
<p>In this paper, we use the Picard method for solving nonlinear quadratic Volterra integral equations by using approach of the self-canceling noise terms which is proposed by Wazwaz (Wazwaz, 2013) . The analytical solutions show that only two iterations are needed to obtain accurate approximate solutions.To illustrate the ability and reliability of the method, some examples<br />are given, revealing its effectiveness and simplicity.</p>O. Y. Ababneh, M. Mossa Al-sawalha
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/56754Mon, 25 Jan 2016 00:00:00 -0800Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 8, No. 1
http://www.ccsenet.org/journal/index.php/jmr/article/view/57061
<p><em>Journal of Mathematics Research</em> wishes to acknowledge the following individuals for their assistance with peer review of manuscripts for this issue. Their help and contributions in maintaining the quality of the journal is greatly appreciated.</p><p>Many authors, regardless of whether <em>Journal of Mathematics Research</em> publishes their work, appreciate the helpful feedback provided by the reviewers.</p><p><strong>Reviewers for Volume 8, Number 1</strong></p><p><strong> </strong></p><p>Alberto Simoes</p><p>Antonio Boccuto</p><p>Arman Aghili</p><p>Chung-Chuan Chen</p><p>Enrico Jabara</p><p>Kuldeep Narain Mathur</p><p>Luca Di Persio</p><p>Marek Brabec</p><p>Maria Alessandra Ragusa</p><p>Olivier Heubo-Kwegna</p><p>Ömür DEVECİ</p><p>Peng Zhang</p><p>Philip Philipoff</p><p>Prof. Sanjib Kumar Datta</p><p>R. Roopkumar</p><p>Rosalio G. Artes</p><p>Rovshan Bandaliyev</p><p>Saima Anis</p><p>Selcuk Koyuncu</p><p>Sergiy Koshkin</p><p>Vishnu Narayan Mishra</p><p>Waleed Al-Rawashdeh</p><p>Youssef El-Khatib</p><p>Zhongming Wang</p><p><strong> </strong></p><p>Sophia Wang</p><p>On behalf of,</p><p>The Editorial Board of <em>Journal of Mathematics Research</em></p><p>Canadian Center of Science and Education</p>Sophia Wang
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/57061Mon, 01 Feb 2016 00:00:00 -0800