http://www.ccsenet.org/journal/index.php/jmr/issue/feedJournal of Mathematics Research2017-09-20T22:07:29-07:00Sophia Wangjmr@ccsenet.orgOpen Journal Systems<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>http://www.ccsenet.org/journal/index.php/jmr/article/view/69053A Study on the Minimum and Maximum Sum of C2 Problem in IMO20142017-09-12T18:01:16-07:00Erick Ceasar Huanghuange2@mca.org.twSharon Sherry Huangcs2777726@gmail.comCheng-Hua Tsaismofishmilkfish@gmail.com<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>2017-08-08T00:00:00-07:00Copyright (c) 2017 Erick Ceasar Huang, Sharon Sherry Huang, Cheng-Hua Tsaihttp://www.ccsenet.org/journal/index.php/jmr/article/view/68657New Model for Solving Mixed Integral Equation of the First Kind with Generalized Potential Kernel2017-09-12T18:01:16-07:00Shareefa Eisa Ali Alhazmisehazmi@uqu.edu.saNew 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.2017-08-21T00:00:00-07:00Copyright (c) 2017 Shareefa Eisa Ali Alhazmihttp://www.ccsenet.org/journal/index.php/jmr/article/view/67166The Separable Complementation Property and Mrówka Compacta2017-09-12T18:01:16-07:00Jesus FerrerJesus.Ferrer@uv.es<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>2017-08-21T00:00:00-07:00Copyright (c) 2017 Jesus Ferrerhttp://www.ccsenet.org/journal/index.php/jmr/article/view/69673K-loop Structures Raised by the Direct Limits of Pseudo Unitary $U(p, a_{n})$ and Pseudo Orthogonal $O(p, a_{n})$ Groups2017-09-12T18:01:16-07:00ALPER BULUTalper.bulut@aum.edu.kw<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>2017-09-04T00:00:00-07:00Copyright (c) 2017 ALPER BULUThttp://www.ccsenet.org/journal/index.php/jmr/article/view/70434Existence of Solutions for Functional Integral Equation Involving the Henstock-Kurzweil-Stieltjes Integral2017-09-12T18:01:16-07:00Hui Meimeihuihhu@163.comGuoju Yemeihuihhu@163.comWei Liumeihuihhu@163.comYanrong Chenmeihuihhu@163.comIn 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.2017-09-05T00:00:00-07:00Copyright (c) 2017 Hui Mei, Guoju Ye, Wei Liu, Yanrong Chenhttp://www.ccsenet.org/journal/index.php/jmr/article/view/69497Sign of Permutation Induced by Nagata Automorphism over Finite Fields2017-09-12T18:01:16-07:00Keisuke Hakutahakuta@cis.shimane-u.ac.jpTsuyoshi Takagitakagi@mist.i.u-tokyo.ac.jpThis 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.2017-09-07T00:00:00-07:00Copyright (c) 2017 Keisuke Hakuta, Tsuyoshi Takagihttp://www.ccsenet.org/journal/index.php/jmr/article/view/69981Some More New Properties of Consecutive Odd Numbers2017-09-12T18:01:16-07:00Xingbo Wang153668@qq.com<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>2017-09-11T00:00:00-07:00Copyright (c) 2017 Xingbo WANGhttp://www.ccsenet.org/journal/index.php/jmr/article/view/69354Angular Vectors in the Theory of Vectors2017-09-12T18:01:55-07:00Yevhen Mykolayovych KharchenkoUjin-X@meta.uaThe 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.2017-09-12T00:00:00-07:00Copyright (c) 2017 Yevhen Mykolayovych Kharchenkohttp://www.ccsenet.org/journal/index.php/jmr/article/view/70635On the Interval Controllability of Fractional Systems with Control Delay2017-09-17T19:02:33-07:00Jiang Weijiangwei89018@126.comIn 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.2017-09-17T00:00:00-07:00Copyright (c) 2017 Jiang Weihttp://www.ccsenet.org/journal/index.php/jmr/article/view/70695On S-quasi-Dedekind Modules2017-09-19T20:42:17-07:00Abdoul Djibril Diallocheikpapa@yahoo.frPapa Cheikhou Diopcheikpapa@yahoo.frMamadou Barrycheikpapa@yahoo.frLet $R$ 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.2017-09-20T00:00:00-07:00Copyright (c) 2017 Abdoul Djibril Diallo, Papa Cheikhou Diop, Mamadou Barryhttp://www.ccsenet.org/journal/index.php/jmr/article/view/70733Tripled Coincidence Point Results for $(\psi,\varphi)$-weakly Contractive Mappings in Partially Ordered S-matric Spaces2017-09-20T22:07:29-07:00Abdolsattar Gholidahnehgholidahneh.s@gmail.comShaban Sedghigholidahneh.s@gmail.comIn 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.2017-09-21T00:00:00-07:00Copyright (c) 2017 Abdolsattar Gholidahneh, Shaban Sedghi