Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr
<p><strong><span><span lang="EN-US"><br /></span></span></strong></p><p><strong><span><span lang="EN-US">Journal of Mathematics Research </span></span></strong><span lang="EN-US">(ISSN: 1916-9795; E-ISSN 1916-9809) is an open-access, international, double-blind peer-reviewed journal published by the <a href="http://web.ccsenet.org/">Canadian Center of Science and Education</a>. This journal, published <strong><span>bimonthly</span></strong> (February, April, June, August, October and December) in <strong><span>both print and online versions</span></strong>, keeps readers up-to-date with the latest developments in all aspects of mathematics.</span></p><div class="Section1"><strong>The scopes of the journal </strong>include, but are not limited to, the following topics:</div><div class="Section1"><p align="left"><span lang="EN-US">Algebra, Analysis, Approximation Theory, Cryptography, Dynamical Systems, Geometry and Topology, Graph Theory, Information Theory, Logic and Foundations of Mathematics, Mathematical Physics, Number Theory, Numerical Analysis, Operations Research, Probability Theory, Statistics, Theory of Computation, Mathematical Finance, Mathematical Economics, Econometrics.</span></p></div><p class="Section1">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 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><a href="http://media2.proquest.com/documents/titlelist_aerospace.xls"><strong><span lang="EN-US">Aerospace Database</span></strong></a></li><li><strong>BASE (Bielefeld Academic Search Engine)</strong></li><li><strong><a href="http://media2.proquest.com/documents/titlelist_civilengineering.xls"><span lang="EN-US">Civil Engineering Abstracts</span></a></strong></li><li><strong><a href="http://econpapers.repec.org/article/ibnjmrjnl/"><span lang="EN-US"><strong>EconPapers</strong></span></a></strong></li><li><a href="http://www.ebscohost.com/"><strong>EBSCOhost</strong></a></li><li><a href="http://ezb.uni-regensburg.de/detail.phtml?bibid=AAAAA&colors=7&lang=en&jour_id=118807"><strong><span lang="EN-US">EZB (Elektronische Zeitschriftenbibliothek)</span></strong></a></li><li><strong>Google Scholar</strong></li><li><strong><a href="https://ideas.repec.org/s/ibn/jmrjnl.html"><strong><span lang="EN-US">IDEAS</span></strong></a></strong></li><li><strong>JournalTOCs</strong></li><li><strong>LOCKSS</strong></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>®) (-2012)</strong></li><li><strong>MathGuide</strong></li><li><strong>MIAR</strong></li><li><strong>NewJour</strong></li><li><strong>OCLC Worldcat</strong></li><li><a href="http://j-gate.informindia.co.in/"><strong>Open J-Gate</strong></a></li><li><strong></strong><a href="http://pkp.sfu.ca/?q=harvester"><strong>PKP Open Archives Harvester</strong></a><strong> </strong></li><li><strong><span lang="EN-US"><span>RePEc</span></span></strong></li><li><strong>SHERPA/RoMEO</strong></li><li><a href="https://sociorepec.org/collection.xml?h=repec:ibn:jmrjnl&l=en"><strong><span lang="EN-US">SocioRePEc</span></strong></a></li><li><strong>Standard Periodical Directory</strong></li><li><strong><a href="http://ulrichsweb.serialssolutions.com/login">Ulrich's</a></strong></li><li><strong>Universe Digital Library</strong></li><li><strong><a href="https://zbmath.org/journals/?q=se:00006772">ZbMATH</a> (2009-2013)</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.jmr@ccsenet.org (Sophia Wang)jmr@ccsenet.org (Technical Support)Tue, 08 Aug 2017 19:57:19 -0700OJS 2.4.8.1http://blogs.law.harvard.edu/tech/rss60A Study on the Minimum and Maximum Sum of C2 Problem in IMO2014
http://www.ccsenet.org/journal/index.php/jmr/article/view/69053
<p><span lang="EN-US"><span style="font-family: 宋体; font-size: medium;">The focus of this paper is primarily on a problem: </span></span><span lang="EN-US"><span style="font-family: 宋体; font-size: medium;">the principle of the extreme value under some special operations</span></span><span lang="EN-US"><span style="font-family: 宋体; font-size: medium;">. After enumerating from the maximum sum to minimum and solving these cases, I found that the use of the two mathematical models enabled the derivation of the general form of the use of the two mathematical models enabled the derivation of the general form of the maximum and the minimum sum. This program looks into the principles of minimum and maximum sum, and the various patterns that come along with it. In order to further discuss this kind of problems, we set up other different conditions, solving them with two mathematical models and principle of sequence recursive relationship, induction proof, etc. We also extend all these problems to explore the generating functions of the maximum and the minimum sum with operating number m based on the parity of the number of papers. Finally, using computer generated software, we demonstrate the various sums of a particular state, along with coming up with a general rule for all states that can predict the maximum and the minimum sum through the usage of induction.</span></span></p>Erick Ceasar Huang, Sharon Sherry Huang, Cheng-Hua Tsai
Copyright (c) 2017 Erick Ceasar Huang, Sharon Sherry Huang, Cheng-Hua Tsai
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http://www.ccsenet.org/journal/index.php/jmr/article/view/69053Tue, 08 Aug 2017 00:00:00 -0700New Model for Solving Mixed Integral Equation of the First Kind with Generalized Potential Kernel
http://www.ccsenet.org/journal/index.php/jmr/article/view/68657
New technique model is used to solve the mixed integral equation (\textbf{MIE}) of the first kind, with a position kernel contains a generalized potential function multiplying by a continuous function and continuous kernel in time, in the space $L_{2} (\Omega )\times C[0,T],\, 0\leq T<1$, $\Omega$ is the domain of integration and $T$ is the time. The integral equation arises in the treatment of various semi-symmetric contact problems, in one, two, and three dimensions, with mixed boundary conditions in the mechanics of continuous media. The solution of the \textbf{MIE }when the kernel of position takes the potential function form, elliptic function form, Carleman function and logarithmic kernel are discussed and obtain in this work. Moreover, many special cases are derived.Shareefa Eisa Ali Alhazmi
Copyright (c) 2017 Shareefa Eisa Ali Alhazmi
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http://www.ccsenet.org/journal/index.php/jmr/article/view/68657Mon, 21 Aug 2017 00:00:00 -0700The Separable Complementation Property and Mrówka Compacta
http://www.ccsenet.org/journal/index.php/jmr/article/view/67166
<p>We study the separable complementation property for $C(K_{\cal A})$ spaces when $K_{\cal A}$ is the Mr\'owka compact associated to an almost disjoint family ${\cal A}$ of countable sets. In particular we prove that, if ${\cal A}$ is a generalized ladder system, then $C(K_{\cal A})$ has the separable complementation property ($SCP$ for short) if and only if it has the controlled version of this property. We also show that, when ${\cal A}$ is a maximal generalized ladder system, the space $C(K_{\cal A})$ does not enjoy the $SCP$.</p>Jesus Ferrer
Copyright (c) 2017 Jesus Ferrer
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http://www.ccsenet.org/journal/index.php/jmr/article/view/67166Mon, 21 Aug 2017 00:00:00 -0700K-loop Structures Raised by the Direct Limits of Pseudo Unitary $U(p, a_{n})$ and Pseudo Orthogonal $O(p, a_{n})$ Groups
http://www.ccsenet.org/journal/index.php/jmr/article/view/69673
<p>A left Bol loop satisfying the automorphic inverse property is called a K-loop or a gyrocommutative gyrogroup. K-loops have been in the centre of attraction since its first discovery by A.A. Ungar in the context of Einstein's 1905 relativistic theory. In this paper some of the infinite dimensional K-loops are built from the direct limit of finite dimensional group transversals.</p>ALPER BULUT
Copyright (c) 2017 ALPER BULUT
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http://www.ccsenet.org/journal/index.php/jmr/article/view/69673Mon, 04 Sep 2017 00:00:00 -0700Existence of Solutions for Functional Integral Equation Involving the Henstock-Kurzweil-Stieltjes Integral
http://www.ccsenet.org/journal/index.php/jmr/article/view/70434
In this paper, we apply the method associated with the technique of measure of noncompactness and some generalizations of Darbo fixed points theorem to study the existence of solutions for a class of integral equation involving the Henstock-Kurzweil-Stieltjes integral. Meanwhile, an example is provided to illustrate our results.Hui Mei, Guoju Ye, Wei Liu, Yanrong Chen
Copyright (c) 2017 Hui Mei, Guoju Ye, Wei Liu, Yanrong Chen
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http://www.ccsenet.org/journal/index.php/jmr/article/view/70434Tue, 05 Sep 2017 00:00:00 -0700Sign of Permutation Induced by Nagata Automorphism over Finite Fields
http://www.ccsenet.org/journal/index.php/jmr/article/view/69497
This paper proves that the Nagata automorphism over a finite field can be mimicked by a tame automorphism which is a composition of four elementary automorphisms. By investigating the sign of the permutations induced by the above elementary automorphisms, one can see that if the Nagata automorphism is defined over a prime field of characteristic two, the Nagata automorphism induces an odd permutation, and otherwise, the Nagata automorphism induces an even permutation.Keisuke Hakuta, Tsuyoshi Takagi
Copyright (c) 2017 Keisuke Hakuta, Tsuyoshi Takagi
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http://www.ccsenet.org/journal/index.php/jmr/article/view/69497Thu, 07 Sep 2017 00:00:00 -0700Some More New Properties of Consecutive Odd Numbers
http://www.ccsenet.org/journal/index.php/jmr/article/view/69981
<p><span lang="EN-US"><span style="font-family: 宋体; font-size: medium;">The article proves several new properties of consecutive odd integers. The proved properties reveal divisors’ transition by subtracting two terms of an odd sequence, divisors’ stationary with adding or subtracting an item to the terms and pseudo-symmetric distribution of a divisor’s power in an odd sequence. The new properties are helpful for finding a divisor of an odd composite number in an odd sequence.</span></span></p>Xingbo Wang
Copyright (c) 2017 Xingbo WANG
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http://www.ccsenet.org/journal/index.php/jmr/article/view/69981Mon, 11 Sep 2017 00:00:00 -0700Angular Vectors in the Theory of Vectors
http://www.ccsenet.org/journal/index.php/jmr/article/view/69354
The theory of angular vectors, which allows modelling of the properties of angular physical quantities, is considered. The meaning of the cross product of vectors was radically revised and changed. Formulas for finding torque and angular velocity in a coordinate-vector form with a correct mapping of their directions were deduced. Described definition of the inverse vector and its properties. The inversed vector allows us to perform vector division operations.Yevhen Mykolayovych Kharchenko
Copyright (c) 2017 Yevhen Mykolayovych Kharchenko
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http://www.ccsenet.org/journal/index.php/jmr/article/view/69354Tue, 12 Sep 2017 00:00:00 -0700On the Interval Controllability of Fractional Systems with Control Delay
http://www.ccsenet.org/journal/index.php/jmr/article/view/70635
In this paper we discuss the interval controllability of fractional systems with control delay. We give the concept and some results of interval controllability. As a main result we give the necessary conditions and sufficient conditions for the interval controllability of fractional systems with control delay.Jiang Wei
Copyright (c) 2017 Jiang Wei
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http://www.ccsenet.org/journal/index.php/jmr/article/view/70635Sun, 17 Sep 2017 00:00:00 -0700On S-quasi-Dedekind Modules
http://www.ccsenet.org/journal/index.php/jmr/article/view/70695
Let $R$ be a commutative ring and $M$ an unital $R$-module. A proper submodule $L$ of $M$ is called primary submodule of $M$, if $rm\in L$, where $r\in R$, $m\in M$, then $m\in L$ or $r^{n}M\subseteq L$ for some positive integer $n$. A submodule $K$ of $M$ is called semi-small submodule of $M$ if, $K+L\neq M$ for each primary submodule $L$ of $M$. An $R$-module $M$ is called S-quasi-Dedekind module if, for each $f\in End_{R}(M),$ $ f\neq 0$ implies $Kerf$ semi-small in $M$. In this paper we introduce the concept of S-quasi-Dedekind modules as a generalisation of small quasi-Dedekind modules, and gives some of their properties, characterizations and exemples. Another hand we study the relationships of S-quasi-Dedekind modules with some classes of modules and their endomorphism rings.Abdoul Djibril Diallo, Papa Cheikhou Diop, Mamadou Barry
Copyright (c) 2017 Abdoul Djibril Diallo, Papa Cheikhou Diop, Mamadou Barry
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http://www.ccsenet.org/journal/index.php/jmr/article/view/70695Wed, 20 Sep 2017 00:00:00 -0700Tripled Coincidence Point Results for $(\psi,\varphi)$-weakly Contractive Mappings in Partially Ordered S-matric Spaces
http://www.ccsenet.org/journal/index.php/jmr/article/view/70733
In this paper, the notion of $ S $-metric spaces will be introduced. We present a some tripled coincidence point results for a mixed $ g $-monotone mappings $ F : X^{3} \rightarrow X $ satisfying $ (\psi,\varphi) $-contractions in partially ordered complete $ S $-metric spaces. Also an application and some example are given to support our results.Abdolsattar Gholidahneh, Shaban Sedghi
Copyright (c) 2017 Abdolsattar Gholidahneh, Shaban Sedghi
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http://www.ccsenet.org/journal/index.php/jmr/article/view/70733Thu, 21 Sep 2017 00:00:00 -0700