Studies in Mathematical Sciences
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<p><a title="Authors" href="/index.php/sms/author" target="_blank">Authors</a> <a title="Reviewers" href="/index.php/sms/reviewer" target="_blank">Reviewers</a> <a title="Editors" href="/index.php/sms/sectionEditor" target="_blank">Editors</a><strong> <em><a title="New Submission" href="/index.php/sms/author/submit/1" target="_blank">New Submission</a></em></strong></p>Canadian Research & Development Center of Sciences and Culturesen-USStudies in Mathematical Sciences1923-8444<p>The authors agree that:</p><ol><li>Authors of reports of original research should present an accurate account of the work performed as well as an objective discussion of its significance.</li><li>The authors should ensure that they have written entirely original works, and if the authors have used the work and/or words of others that this has been appropriately cited or quoted.</li><li>An author should not in general publish manuscripts describing essentially the same research in more than one journal or primary publication. Submitting the same manuscript to more than one journal concurrently constitutes unethical publishing behavior and is unacceptable.</li><li>Authorship should be limited to those who have made a significant contribution to the conception, design, execution, or interpretation of the reported study. All those who have made significant contributions should be listed as co-authors. Where there are others who have participated in certain substantive aspects of the research project, they should be acknowledged or listed as contributors.</li><li>When an author discovers a significant error or inaccuracy in his/her own published work, it is the author’s obligation to promptly notify the journal editor or publisher and cooperate with the editor to retract or correct the paper. If the editor or the publisher learns from a third party that a published work contains a significant error, it is the obligation of the author to promptly retract or correct the paper or provide evidence to the editor of the correctness of the original paper.</li><li>The author assigns, conveys, and otherwise transfers all rights, title, interest, and copyright ownership in this “Work” to our journal when the "Work" is accepted for publication. "Work” means the material submitted for publication plus any other related material submitted.</li><li>The assignment of rights to our journal includes but is not expressly limited to rights to edit, publish, reproduce, distribute copies, prepare derivative works, include in indexes or search databases in print, electronic, or other media, whether or not in use at the time of execution of this agreement, and claim copyright in said work throughout the world for the full duration of the copyright and any renewals or extensions thereof.</li><li>If the authors cannot obey the previous terms and cause legal problems, the authors will take the full responsibilities.</li></ol>Editorial Office
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SMS CSCanada2012-11-302012-11-305Contents
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SMS CSCanada2012-11-302012-11-305Modelling Adult Mortality in Nigeria: Ananalysis Based on the Lee-Carter Model
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.1986
<p>For several decades, global public-health efforts have focused on the development and application of various programs to improve child survival in developing countries. By contrast, little emphasis has been placed on adult mortality especially in a developing country like Nigeria. In order to plan and monitor the effectiveness of public-health programs, the Government and international agencies need accurate information on the past and current level and patterns of adult mortality in the country and how they are changing with time.</p><p>This study used the Lee-Carter method to model adult mortality in Nigeria (a limited data situation). The model was applied to the age-specific mortality rates for Nigeria (for both sexes) aged 15-84 years for the time periods 1990, 2000 and 2009. An evaluation of past time trends in the general pattern of adult mortality, the relative pace of change in mortality by age, the general pattern of mortality by age and forecast of future mortality index and rates from 2010-2019 was made.</p><p>The model’s parameters are estimated using the approach proposed by Lee and Carter (1992) based on the singular value decomposition technique, while the mortality index is predicted using the approach developed by Nan Li <em>et al</em><em>.</em> (2002).</p><p>Our findings reflect that the model follows the mortality pattern very well for most of the ages except that the fit of the model was better for the male data than the females’. Furthermore, it is observed that presently, females have a higher mortality rate than males in Nigeria while forecast values of the mortality index show that the male folk will experience a gradual decline in mortality from 2010-2019 all things being equal. Conclusively, the Lee-Carter model can be used in the Nigerian situation provided that the earliest and latest points of the data are sufficiently far apart in time.</p>A.U. ChukwuE.O. Oladipupo2012-11-302012-11-305New Exact Solutions of Nonlinear Partial Differential Equations Using Tan-Cot Function Method
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.1452
In this paper, we established a traveling wave solution by using the proposed Tan-Cot function algorithm for nonlinear partial differential equations. The method is used to obtain new solitary wave solutions for various type of nonlinear partial differential equations such as, the (2+1) - dimensional nonlinear Schr$\mathrm {\ddot{o}}$dinger equation, Gardner equation, the modified KdV equation, perturbed Burgers equation, general Burger's-Fisher equation, and Benjamin-Bona-Mahony equation, which are the important Soliton equations. Proposed method has been successfully implemented to establish new solitary wave solutions for the nonlinear PDEs.Anwar Ja'afar Mohamad Jawad2012-11-302012-11-305Local Study of Singularities on an Equiform Motion
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.2122
In this paper we investigate the local singularities of the configuration space corresponding to an equiform motion in the Euclidean space $R^3$. The chaotic behavior of singularities are displayed through figures.Nassar H. Abdel-AllAreej A. Al-Moneef2012-11-302012-11-305The Discussion on the Mode of Undergraduate Tutorial System for Financial Mathematics Students of Local Universities
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.932
With the decreasing in the number of college students, the students quality of local university is also decreasing. This paper proposes the mode of tutor system for financial mathematics students of local universities. And it is analysis the necessity and the importance of tutor system for teaching, employment, etc. we also propose some suggestions on how to execute tutor system.Xing YUHongguo SUNGuohua CHEN2012-11-302012-11-305On Hermite-Hadamard Inequality for Twice Differentiable Functions Bounded by Exponentials
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.2583
Some Hermite-Hadamard type inequalities for twice differentiable functions whose second derivatives are bounded below and above by exponentials are given. Applications for special means are provided as well.S. S. DragomirI. Gomm2012-11-302012-11-305Characterizations of Mappings Via Z-Open Sets
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.1016
The aim of this paper we introduce Z-irresolute, Z-open, Z-closed, pre-Z-open and pre-Z-closed mappings and investigate properties and characterizations of these new types of mappings.Ahmad I. EL-MaghrabiAli M. Mubarki2012-11-302012-11-305Nonoscillatory Solutions for System of Delay Difference Equations on Time Scales
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.983
In this paper, we consider certain system of delay difference equations<br />$$ \Delta{y_{1}(n)} = p(n)y_{2}(n)~~~~~~~ $$<br />$$ \Delta{y_{2}(n)} = -f(n,y_{1}(g(n)))$$<br />where $p(n)\in C[N_{0},R^{+}]$,~$yf(n,y)\geq{0}$,~$f\in{C[N_{0}\times{R},R]}$,~$y\sup\limits_{n\geq{n_{0}}}\mid f(n,y)\mid>0$ for any $y\neq0$,~$g(n)\in C[N_{0},R]$,~$g(n)\leq n$.Lanchu LIUYouwu GAO2012-11-302012-11-305Analysis of Traffic Flow at Signalized Junctions in Uyo Metropolis
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.1650
Traffic flows at three signalized junctions in Uyo metropolis were considered and the data used for the analysis were collected during peak periods (morning and evening) for three consecutive days. The performance measures of congestion such as the average queue length, arrival and saturation flow rates as well as the average waiting time of vehicle per cycle have been calculated for a better understanding of the traffic situation in the city by motorists and proper vehicular logistics. With the random nature in which vehicles arrive and depart, we assumed a Poisson arrival process and deterministic (constant) service time with the service rate $\mu=1/s$ which incorporate both the stochastic and deterministic components of delay estimation. Using the concept of the Canadian delay model in Hellinga and Liping (2001), we obtained the overall delay given an observation interval. An estimate of the mean overall delay which is the average time a vehicle could be delayed at any signalized junction in Uyo metropolis is approximately 63s.Nse S. UdohEmmanuel J. Ekpenyong2012-11-302012-11-305Oscillation of Nonlinear Delay Partial Difference Equations
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.258
In this paper, we consider certain nonlinear partial difference equations<br />$$aA_{m+1,n}+bA_{m, n+1}-cA_{m,n}+\sum\limits_{i=1}^{u} p_{i}(m,n)A_{m-\sigma_{i},n-\tau_{i}}=0 $$<br />where $a,b,c\in(0,\infty )$, $u$ is a positive integer, $p_{i}(m,n),~(i=0,1,2,\cdots u)$ are positive real sequences. $\sigma_i,\tau_i\in N_{0}=\{1,2,\cdots \},~i=1,2,\cdots,u$. A new comparison theorem for oscillation of the above equation is obtained.Guanghui LIU2012-11-302012-11-305The Membership Relation in Fuzzy Operators
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.ZR0217
Firstly the membership relation in fuzzy operators located outside Zadeh operators be discussed and given. Secondly the membership relation in fuzzy operators located within Zadeh operators be discussed and given.Shiqiang ZHANGYaling LUO2012-11-302012-11-305A Empirical Analysis on Performance Evaluation of the Tertiary Industry in Eastern Chinese Province Based on DEA
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.ZR0028
This paper comprehensively evaluated the performance of the tertiary industry in eastern Chinese province, using Data envelopment Analysis and the statistical section data of tertiary industry status investigation. The result figures out the provinces which are DEA efficient and which are not, in eastern Chinese province at 2009. According the result and discussion, imbalanced regional development exists in eastern. So, the adjustment direction and range are given based on the DEA evaluation, that the development of technology-intensive industry should be the key of tertiary industry.Chengju LI2012-11-302012-11-305A New Class of Continuous Fuzzy Operators Located Within the Probability Operators
http://www.cscanada.net/index.php/sms/article/view/j.sms.1923845220120502.ZRZX1
This article constructed fuzzy $S$ operators and proved the fuzzy S operators are boundary operator and the fuzzy $S$ operators are a new class of continuous fuzzy operators located within probability operators.Shiqiang ZHANGFeng XU2012-11-302012-11-305Acknowledgment
http://www.cscanada.net/index.php/sms/article/view/3055
SMS CSCanada2012-11-302012-11-305Submission
http://www.cscanada.net/index.php/sms/article/view/3056
SMS CSCanada2012-11-302012-11-305