iosr-Jm   Volume-12 ~ Issue-2 ~ Mar-Apr 2016

Abstract:This paper focuses on the effect of thermal radiation on a steady two dimensional MHD convective flow of an incompressible viscous electrically conducting fluid past a continuously moving porous plate embedded in a porous medium. A uniform magnetic field is assumed to be applied transversely to the direction of the main flow

Keywords: MHD, Electrically conducting fluid, viscous fluid, free convection, skin friction.

[1]. Bejan ,A. and Khain ,K.R. ,(1985) .Heat and mass transfer by natural convection in a porous medium .International Journal of heat and mass transfer ,vol .28 ,PP-909-918 .
[2]. Trevision ,O.V. ,and Bejan ,A. ,(1985).Heat and mass transfer through a porous medium in presence of Buoyency effect .International Journal of Heat and mass transfer , 28,1597-1611.
[3]. 3. Acharya, M., Dash, G.C. and Singh, L.P., (2000). Magnetic field effect on free convection and mass transfer flow through porous medium with constant suction and constant heat flux. Indian J. Pure Appl. Math., 31,1-18.
[4]. Raptis , A., and Konfousias , N, (1982) .Magneto Hydrodynamics free convective flow and mass transfer through a porous medium bounded by an infinite vertical porous plate with constant Heat flux, Con . J. Phys, 60 , 1725-1729.
[5]. Ahmed , N.,Sarma ,D., and Baruah ,D.P. ,(2006).Three dimensional free convective flow and mass transfer along a porous vertical plate ,Bullctin of the Allahabad Mathematical Society ,21, 125 -141.

Abstract: In this paper we have mainly obtained some theorems related to Associative ring with unity.

Keywords: Associative ring, ring with unity

[1]. G. Yuanchun, Some commutativity theorems of rings, Acta Sci. Natur. Univ. Jilin 3 (1983)
[2]. I.N. Herstein, Topics in Algebra, Wiley India (P) Ltd, 2nd Edition 2006.
[3]. K.V.R. Srinivas and V.V.S. Ramachandram, Invertible and complement elements in a ring, IJMR 3 (1) (2011), 53–57. For rings, Amer. Math. Monthly 95 (4) (1988), 336–339.
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[5]. M. Ashraf, M.A. Quadri and D. Zelinsky, Some polynomial identities that imply commutative

Abstract: This paper examines the approximation of Hypergeometric population by binomial distribution. The influence of the sample size k without replacement under various values of the parameters m and n such that m+n<∞ of the Hypergeometric distribution was considered...........

Keywords: Hypergeometric distribution, Binomial distribution, Simulation, Likelihood ratio test

[1]. D.M. BATES, (2001). "Using Open Source Software to Teach Mathematical Statistics",
http://www.stat.wisc.edu/~bates/JSM2001.pdf
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[3]. Wilks, S. S. (1938). "The Large-Sample Distribution of the Likelihood Ratio for Testing Composite Hypotheses". The Annals of Mathematical Statistics9: 60–62. doi:10.1214/aoms/1177732360.edit
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Abstract: In this paper, we have studied the absolute convex fuzzy set over a fuzzy vector space. We examine the properties of absolute convex fuzzy set, and established some independent results under the linear mapping from one vector space to another one.
Keywords : Fuzzy vector space, Fuzzy subspace, convex fuzzy set, Balanced fuzzy set, and Absolute convex fuzzy
set.

[1]. KANDEL,A and BAYATT,W.J.(1978)."Fuzzy sets, Fuzzy algebra and Fuzzy statistics."Proceeding of ILEE, Vol.66, and No.12
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CALIFORNIA,BERKELEY. [Also in J.Math.Anal.Appl.64,No.2,PP.369-380.]
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Abstract: Data Envelopment Analysis(DEA) is a method based upon an interesting application of linear programming technique. It was only developed for performance measurement. It has been employed for assessing the relative performance of a set of firms that uses a variety of identical inputs to produce a variety of identical outputs. The main aim of the present research study is to measure the efficiency of the Indian agricultural production by using the data envelopment analysis.
Key Words: DEA, DMU, VRSTE, CRSTE, Production

[1]. Banker, Cooper, Sieford, Thrall and Chu (2004), "Returns to Scale in Different DEA models", European Journal of Operations Research, Vol. 154, pp.345-362.
[2]. Banker, R.D., A. Charnes and W.W. Cooper (1984), "Models for the Estimation of Technical and Scale Inefficiencies in a Data Envelopment Analysis", Management Science, Vol. 30, pp. 1078-1092.

[3]. Brackett, P.L., A Charnes, W.W. Cooper, Z. Hung and A.B. San (1997), "Data transformations in DEA Cone Ratio Envelopment Approaches for Monitoring Bank Performance‟, European Journal of Operational Research, Vol. 98, pp. 250-268.
[4]. Carree, M.A., (2002), "Technological Inefficiency and the Skewness of the Error Component in Stochastic Frontier Analysis", Economic Letters, Vol. 77(1), pp. 101-107.
[5]. Charnes, A., W.W. Cooper and R.M. Thrall (1986), "Classifying and Characterization Efficiencies and Inefficiencies in Data Envelopment Analysis", Operations Research Letters, Vol. 5, pp. 105-110.

Abstract: The Bayesian analysis of the Burr type 𝛸 distribution (Exponentiated Rayleigh) has been considered in the research. The Gamma, Exponential, Chi-Squared and Jeffrey prior have been assumed for posterior analysis. The estimation has been made under singly type 𝛪𝛪 censored samples. The Bayes estimation has been obtained under eight different loss functions (Squared error..........

Keywords: Bayesian Analyses,Exponentiated Rayleigh Distribution, Burr type 𝛸 distribution, Loss function, Prior, Posterior, (Squared error, Quadratic, Weighted, Linear exponential, Precautionary, Entropy, De Groot and non-Linear exponential) loss functions.

[1]. Ahmad, K.E.Fakhry, Jaheen, Z.F., (1997) "Empirical Bayes estimation of p(y < x) and characterization of Burr Type X model" Journal of Statistical Planning and Inference, 46, 297- 308.
[2]. Burr, I.W. (1942) "Cumulative frequency distribution" Annals of Mathematical Statistics, Vol. 13, 215-232.
[3]. Cohen, A.C. (1965) "Maximum Likelihood Estimation in the Weibull Distribution Based on Complete and on Censored Samples" American Statistical Association, Technometrics Vol. 7, No. 4, pp. 579-588.
[4]. Feroze, N. and Aslam, M., (2012) "Bayesian Analysis of Burr Type X distribution under Complete and Censored Samples" International Journal of Pure and Applied Sciences and Technology, 11(2), pp. 16-28.

Abstract: Nigeria as a developing nation is in a predicament on the issue of malaria fever and pregnancy connectivity. Pregnancy is a necessity but the country is sandwiched within the mosquito active belt/region of the world, the result of this connection is frequent occurrence of malaria during pregnancy! A dire situation that often results into maternal fatalities. Malaria remains a major public health problem in Nigeria where it is endemic; this paper thus focuses on determining the level of prevalence of malaria fever burden among pregnant women in all the geopolitical regions of the country............

Keywords: Malaria, Pregnancy, Prevalence, Maternal, Nigeria.

[1]. Anna M. V. E, Jenny H, Victor A. A, Viola K, Peter W. G, Feiko O. K, Robert Snow W.,(2011). Coverage of Malaria Protection in Pregnant Women inSub‐Saharan Africa: As Synthesis And Analysis Of National Survey Data.TheLancet.Vol. 11. March 2011. 6
[2]. Arora, D.R, andArora, B. (2005) Medical Parasitology. 2nd ed. New Delhi.Bangalore (India): CBS Publishers and Distributors, p.34-37.
[3]. Bassey, B.E., Asor, J.E. and Useh, M.F. (2007) Profile of Malaria in Pregnant Women Attending Antenatal Clinics in Rural Community in Nigeria.The Open Parasitology Journal, 2007, 1, 1-61, 1874-4214/07 2007 Bentham Science Publishers Ltd.
[4]. Chukwuocha, U. M., Dozie, I. N.,andChukwuocha, A. N. (2012) Malaria and its burden among pregnant women in parts of the Niger Delta area of Nigeria. Asian Pacific Journal of Reproduction .www.elsevier.com/locate/apjr
[5]. Chukwuocha, U.M. (2012) Malaria Control in Nigeria. Primary Health Care 2:118. doi:10.4172/2167-1079.1000118

Abstract : Negative Jacobsthal numbers are fractal sequence of numbers. We find sums of squares of negative jacobsthal sequence of numbers. We also find sum of squares of Farey sequence of numbers.

Keywords: Sums of squares,Jacobsthal sequence,Jacobsthal Lucas Sequence,Farey sequence

[1]. A.Gnanam,C.Dinesh, " Farey Matrix", International Journal of Mathematics Trends and Technology-Volume 19 Number 1 March 2015, ISSN: 2231-5373.
[2]. A.Gnanam,B.Anitha, "Negative Jacobsthal Numbers",International Journal of Science, Engineering and Technology Research(IJSETR) Vol.5 Issue 3,March 2016.ISSN- 2278-7798.
[3]. Horadam.A.F, "Jacobsthal Representation Numbers",Unversity of New England,Armidale,2351,Australia.
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Abstract :This work explores the solution of Fredholm-Volterra integral equations using the Bezier curve method. Both linear and nonlinear equations of the Fredholm-Volterra integral equations are considered. The convergence of the Bezier curve method for integral equations is analysed. The high accuracy of the results of the approximation shows that the approximate solutions obtained by the Bezier curve method are very good and efficient approximations of the exact solution of these equations.

Keywords:Bezier Curves, Control Points, Fredholm-Volterra Integral Equations, Residual Function, Function Approximation.

[1] M. Rahman, Z. Jackiemizz and B. D. Welfert, Stochastic approximation of perturbed Fredholm-Volterra integro-differential equation arising in mathematical neurosciences, Applied Mathematics and Computation,186(2), 2007, 1173-1182.
[2] M. A. Abdou, On asymptotic methods for Fredholm-Volterra integral equation of the second kind in contact problems, Journal of Computational and Applied Mathematics, 154(2), 2003, 431- 446.
[3] M. A. Abdou, K. I. Mohamed and A. S. Ismail, On the numerical solutions of Fredholm-Volterra integral equations, Applied Mathematics and Computation, 146(2-3), 2003, 713-728.
[4] F.A. Hendi and H.O. Bakodah, Numerical solution of Fredholm -Volterra integral equation in two dimensional space by using discrete Adomian decomposition method, International Journal of Research and Reviews in Applied Sciences, 10(3), 2012, 466-471.
[5] G. Nurnberger and F. Zeilfelder, Development in bivariate spline interpolation, Journal of Computational and Applied Mathematics, 121(1-2), 2000, 125-152.

Abstract : The concept of interior set of vertices of a graph G has applications in locating dominating set of a graph. A dominating set D is said to be an interior dominating set if every vertex vD, is an interior vertex of G. The minimum of the cardinality of the interior dominating sets of G is called as interior domination number of G. The relation between the domination number and the interior domination number has been found. Some bounds for interior domination number have been found and its exact values for some particular classes of graphs are determined.

Keywords: Graphs, complete, Wheel, Star graphs, Dominating set, Interior vertices

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[4] Ermelinda Delavina, Ryan pepper, and Bill Waller ,Lower bounds for the domination number, Discussiones Mathematicae Graph Theory, January (2010).
[5] Gary Chartand, Ping Zhang, Introduction to Graph theory, McGraw Hill Education (India) Private Limited , New Delhi (2006)