iosr-Jm   Volume-4 ~ Issue-1

Abstract :Sugar as a luxurious product now becomes an essential one. Sugarcane is the leading cash crop in India used for sugar extraction. Sugarcane was cultivated on 4 million hectares of land shows increasing trend of production over last 10 years, in India. Sugar production scenario for Pre-WTO and Post-WTO period in India, is studied. The effect of eight predictors on sugar production in Pre-WTO (1985-86 to 1994-95) and Post-WTO period (1995-96 to 2008-09) is analyzed. Matrix plot exhibits the scatterness in predictor and response variables. Principal component analysis (PCA) is used to reduce the dimensionality of the data. Multiple regression models, for sugar production on combined score of selected predictors, are obtained. The significance of auto-correlation in residuals of sugar production in India using multiple regressions is tested by Durbin-Watson test. The analysis reveals that in Pre-WTO, Post-WTO and overall period sugar production in India increases as a combined effect of four selected predictors. Durbin-Watson test indicates that autocorrelation in residuals is insignificant in these periods. The calculations of uncrushed sugarcane in Pre- WTO period is of the order of 50 percent which reduces to 40 percent in Post-WTO period.
Keywords -Autocorrelation, eigen values, matrix plot, principal component, residual.

[1] J.Puri. Global sugar Scenario-is India – a rising sugar Export Star? Co-operative Sugar, 33(5), 2002, 389-391.
[2] R.N. Tiwary, Impact of World Trade Organization on Agricultural Development of India. Co-operative Sugar. 35(7), 2004, 537-
540.
[3] A.M. Kshirsagar, Multivariate Analysis, (Marcel and Dekker New York,1972)
[4] A.J.M. Sufian, Analyzing Collinear Data by Principal Component Regression Approach – An Example from Developing Countries,
Journal of Data Science 3, 2005, 221-232.

Abstract :B. Alspach, C.C. Chen and Kevin Mc Avaney [1] have discussed the Hamiltonian laceability of the Brick product C(2n, m, r) for even cycles. In [2], the authors have shown that the (m,r)-Brick Product C(2n+1, 1, 2) is Hamiltonian-t-laceable for 1 ≤ t ≤ diamC2n+1. In this paper we explore the Hamiltonian-t-laceability of the (m,r)-Brick Product C(2n+1,1,r) for r=3 and 4.
Keywords: Brick product, Connected graph, Hamiltonian-t-laceable graph. 2000 Mathematics subject classification: 05C45, 05C99

[1] Brain Alspach et al., On a class of Hamiltonian laceable 3-regular graphs, Journal of Discrete Mathematics 151(1996), 19-38.
[2] Leena N. shenoy and R.Murali, Laceability on a class of Regular Graphs, International Journal of computational Science and
Mathematics, volume 2, Number 3 (2010), 397-406.

Abstract :The aim of this paper is to introduce R-closed maps, R-open maps, R-homeomorphisms, R*- homeomorphisms, strongly R-continuous, perfectly R-continuous and study their properties. Using these new types of maps, several characterizations and properties have been obtained.
Keyword: R-closed maps, R-open maps, R-homeomorphism, R*-homeomorphism, strongly Rclosed maps, perfectly R-closed maps.

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Abstract :We study the line element proposed by the quantum vacuum KantowshiSachs universe without cosmological constant. We consider the scale factor b(=iRI) of the metric to be imaginary and the other a ( = R) is real, of the KantowskiSachs quantum state space time. It is seen, that in the Einstein‟s space time, the numerical volume of the matter universe once been squeez ed in a zero volume, we may assume then the matter universe transferred into another phase by the phase transition system with the help of latent energy group SU(6) [SU(11)  SU(5)  SU(6)  U(1)] The subgroup SU(6) has been interpreted as a new type of energy source other than SU(5)[SU(5)  SU(3)  SU(2) U(1), where SU(3) the strong energy group, SU(2) the weak energy group & U(1) the electro dynamics]. We suppose that the original phase transition takes place before the GUT phase transition i.e. in the stage of SUT (Super Unified Theory) phase transition. According to the classical theory it may be assumed an imaginary scale factor, that means, the universe is then belongs to the pseudo-tachyon-field. It may be compared with the internal space "a‟ of the extra dimension "D‟ expressed by the KaluzaKlein cosmological universe.

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Abstract :This research work is aimed at obtaining solutions to the boundary layer convective heat transfer with viscous dissipation and low pressure gradient over a flat plate. The nonlinear equations of momentum and energy are transformed from partial differential equations into ordinary differential equations by using similarity transformation; the resulting equations were solved using Adomian decomposition method (ADM). An attempt was made to show the potentials and wide-range of applications of the Adomian decomposition method in the comparison with other methods used in solving heat transfer problems. The results were compared with numerical method (NM) and Homotopy perturbation method (HPM). It was observed from results obtained, that the ADM provides highly precise numerical solution for nonlinear differential equations. The results were accurate especially for 𝜼≤𝟒 using this method, a general equating terms of Eckert number (EC) and pressure gradient (𝝀) is derived which can be used to investigate velocity and temperature profiles.
Keywords - Adomian Decomposition Method (ADM), Boundary Layer, Convective Heat Transfer, Nonlinear, Pressure Gradient

[1] Hasanpour A. M., Farhadi K, Sedighi H. R. A. Shorynejad, Lattice Boltzmann Simulation for Magnetohydrodynamic Mixed Convective Flow in a Porous Medium. World Applied Science Journal 11, 2010, 1124-1132.
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[3] Ganji D. D. , Babazadeh H., Noori F., Pirouz M. M, Janipour M., An Application of Homotopy Perturbation Method for Non-linear Blasius Equation to Boundary Layer Flow Over a Flat Plate, International Journal of Nonlinear Science, 7(4), 2009 399-404
[4] Esmaeilpour M and Ganji D. D., Application of He's homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate. Physics Letters, A372, 2007 33-38
[5] Fathizadeh .M and Aroujalian A., Study of Boundary Layer Convective Heat Transfer With Low Pressure Gradient, International Journal Chemical Engineering. 9(1), 2012, 33-39
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[8] Mirgolbabaei H., Barari A. and Ibsen L. B., Analytical Solution of Forced-Convective Boundary-Layer Flow Over a Flat Plate, Archives of Civil and Mechanical Engineering, X(2), 2010, 41-51

[9] Makinde O. D, Olajuwon B.I. , and Gbolagade A.W., Adomian Decomposition Approach to a Boundary Layer Flow with Thermal Radiation Past a Moving Vertical Porous Plate, Int. J. of Appl. Math and Mech. 3(3), 2007, 62-70

[10] Ramiar, A., Ganji, D. D. and Esmaili, Q., Homotopy perturbartion method and variational iteration method for orthogonal 2-D and axisymmetric impinging jet problems, International Journal. Nonlinear Science Numerical. Simulation, 9, 2008, 115-130

Abstract :In this paper, we study the pointwise convergence of nonuniform wavelet packet expansions and show that such expansions converge pointwise almost everywhere, and more precisely everywhere on the Lebesgue set of the function being expanded. Certain results are obtained in this direction by assuming only that the nonuniform wavelet packets being used be bounded by radial decreasing 𝐿1 –functions.
Keywords: Nonuniform multiresolution analysis, Wavelet packets, Radial decreasing 𝐿1 –functions

[1] K. Ahmad and R. Kumar, Pointwise convergence of wavelet packet series, Atti Sem. Fis. Univ. Modena, 48 (2000), 107-120.
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[7] E. Hernandez and G. Weiss, A First Course on Wavelets, CRC Press, New York, 1996.
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Abstract :We show that there exists a unique solution of the tuberculosis model proposed in Blower et.al. [2] Under certain conditions. We formulate and prove a theorem on existence and uniqueness of solution.
Keywords: tuberculosis, mathematical model, epidemic, existence and uniqueness of solution

[1] Alland,D.,Kalkut,G.E.,Moss,A.R.,McAdam,R.A.,Hahn,J.A.Bosworth,W.,Drucker,E. Bloom,B.R., Transmission of tuberculosis in New York city. Analysis by DNA fingerprinting and conventional epidemiologic methods, N.Engl.J.Med.330,1710-17 16 (1994).
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[10] Egbetade,S.A., Ibrahim,M.O.,Stability analysis of equilibrium states of an SEIR tuberculosis model. Journal of NAMP.20,119-124(2012).

Abstract :The two dimensional steady laminar MHD free convection heat and mass transfer flow over a vertical plate in an incompressible, viscous and electrically conducting fluid is examined considering the wall temperature and concentration distribution proportional to  x utilizing the similarity transformations. The transformed nonlinear boundary layer equations have been obtained by solving the governing equations using numerical technique. Numerical calculations are carried out for different values of dimensionless parameters and an analysis of the results obtained shows that the flow is influenced of magnetic parameter, mixed convection parameter, Lewis, Dufour and Soret number in the fluid. The obtained results are presented graphically and in tabular form.
Key-words: Double diffuse, Internal heat generation, Internal mass generation, MHD,Maple.

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Abstract :MHD visco elastic Fluid flow and heat transfer over a stretching surface in presence of viscous dissipation, internal heat generation or absorption and work due to deformation has been investigated. The flow is influenced by linearly stretching sheet, in presence of heat generation/absorption of the wall. The problem has been solved numerically by shooting technique with fourth order RUNGE-KUTTA integration scheme. Heat Transfer analysis has been carried out for both prescribed surface temperature (PST) and prescribed power law heat flux (PHF) to get the effect of visco –elasticity (k1),Eckert number (Ec), heat source /sink ( ), and Prandle number (Pr) in presence and absence of magnetic field (Mn).
Keywords: visco-elasticity, magnetic parameter, internal heat generation/absorption and Eckert number.

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