003971   Sharma V D;Gudadhe A S (NO, Arts Commerce and Science College, Kiran Nagar, Amravati, Email: vidyample1904@yahoo.com) : On the relationship between mellin and fractional mellin transfrom. Bull pure appl Sci-Sect E 2006, 25(1), 81-3.

In recent years, the fractional transforms have been the focus of many research papers. In this paper, author show that the fractional Mellin transform is nothing more than a variation of the standard Mellin transform and as such, many of its properties, such as its inversion formula can be deduced from those of the Mellin transform by a simple change of variable.

7 ref

003970   Rao Jammalamadaka S;Subba Rao T;Gyorgy Terdik (Statistics and Applied Probability Dep, California Univ, Santa Barbara, CA 93106-3110, USA, Email: jammalam@pstat.uscb.edu) : Higher order cumulants of random vectors and applications to statistical inference and time series. Sankhya 2006, 68(Pt2), 326-56.

Provides a unified and comprehensive approach for deriving expressions for higher-order cumulants of random vectors. The approach is based on expanding the characteristic functions and cumulant generating functions in terms of the Kronecker products of differential operators. The use of this methodology is then illustrated in three diverse and novel contexts, namely: (i) in obtaining a lower bound (Bhattacharya bound) for the variance-covariance matrix of a vector of unbiased estimators where the density depends on several parameters, (ii) in studying the asymptotic theory of multivariate statistics when the population is not necessarily Gaussian and finally, (iii) in obtaining higher order cumulant spectra in the study of multivariate nonlinear time series models. Our objective here is to derive such expressions for the higher-order cumulants of random vectors using only elementary calculus of several variables and to highlight some important and novel applications in statistics.

20 ref

003969   Ponraj R;Ramya D (Mathmatics Dep, Dr. Sivanthi Aditanar College of Engineering, Tiruchendur-68215) : On super mean graphs of order ≤5. Bull pure appl Sci-Sect E 2006, 25(1), 143-8.

Concept of super mean labeling was introduced in [2]. In [2], author investigate the super mean labeling of some standard graphs. In [3], harmonious graphs if order 6 were discussed. In the present paper, author determine all super mean graphs of order ≤5.

4 ref

003968   Petropoulos C (Mathematics Dep, Patras Univ, 26 500 Rio, Patras, Greece, Email: costas@math.upatras.gr) : Estimation of a quantile in a mixture model of exponential distributions with unknown location and scale parameters. Sankhya 2006, 68(Pt2), 240-51.

Estimation of a quantile in a mixture model of exponential distributions is considered. For quadratic loss and specified extreme quantiles, better estima-tors than the best affine equivariant procedure are established. In particular, improved estimators for a quantile of an exponential-inverse Gaussian distribution and the multivariate Lomax distribution with unknown location and scale parameters are derived.

18 ref

003967   Pascual F;Zhang H (Mathematics Dep, Washington State Univ, Pullman, WA 99164-3113, USA, Email: jpascual@math.wsu.edu) : Estimation of linear correlation coefficient of two correlated spatial processes. Sankhya 2006, 68(Pt2), 307-25.

Standard inferential methods for the correlation coefficient for two normally distributed variables are based on the assumption of independent sampling. In general, this assumption is not appropriate for spatial data where contiguous locations exhibit some significant level of spatial-correlation or autocorrelation. Past works have demonstrated the dangers, in the form of underestimated standard errors and inflated Type I errors, of applying independent-sample inference methods on spatially correlated data. Here, author study the distribution of maximum likelihood estimators in a bivariate spatial model and give the finite sample distribution and asymptotic distribution of estimators. It is shown that if the estimator appropriately accounts for spatial correlation, some existing distributional results derived under the assumption of independence are still valid.

2 illus, 4 tables, 20 ref

003966   Nandi S;Kundu D (Theoretical Statistics and Mathematics Unit, Indian Statistical Institute 7, S.J.S. Sansanwal Marg, New Delhi-110 016, Email: nandi@isid.ac.in) : Efficient and east algorithm for estimating the parameters of sinusoidal signals. Sankhya 2006, 68(Pt2), 283-306.

Computationally efficient algorithm is proposed for estimating the param-eters of sinusoidal signals in presence of stationary errors. The proposed estimators are consistent, and they are asymptotically equivalent to the least squares estimators. Monte Carlo simulations are performed to compare the proposed one with the other existing comparable methods. It is observed that the proposed estimator works quite well in terms of biases and mean squared errors. The main advantage of the proposed method of estimation is that the estimators can be obtained using only fixed number of iterations. Some real data sets have been analyzed for illustration purposes.

6 illus, 4 tables, 18 ref

003965   Misra U K;Misra M;Rauto K (Mathematics Dep, Berhampur Univ, Berhampur-760 007) : Absolute banach summability of conjugate fourier series. Bull pure appl Sci-Sect E 2006, 25(1), 67-71.

A result on absolute Banach summability is established.

4 ref

003964   Mehta M N (Mathematics Section, S.V. National Institute of Technology, Surat-395 007) : Classical solution of burger's equation arising into the one dimensional groundwater recharge by spreading in porous media. Bull pure appl Sci-Sect E 2006, 25(1), 119-24.

Basic burger's equation of one dimensional ground water recharge by spreading problem have been converted into the perturb burger's equation by introducing a term γ₃ θ as & finally it has been proved that, given solution is not solution of perturb burger's equation but it is solution of burger's equation by using appropriate boundary condition under certain standard assumption.

11 ref

003963   Mathur A K;Mishra K K (Mathematics Dep, Rajasthan Univ, Jaipur-302 004) : Hydromagnetic unsteady three dimensional flow between two porous rotating discs. Bull pure appl Sci-Sect E 2006, 25(1), 1-13.

Axisymmetric three-dimensional unsteady flow of a conducting fluid between two rotating porous discs under the influence of a radial magnetic field has been considered when there is a constant suction at the upper disc and an equal injection at the lower disc. The three-dimensional velocity components are obtained using perturbation technique taking small Reynolds number. The effects of changes in various physical parameters on velocity components are presented through graphs.

9 illus, 11 ref

003962   Manickam K;Marudai M (Mathematics Dep, The MDT Hindu College, Tirunelveli-627 010) : Odd mean labelings of graphs. Bull pure appl Sci-Sect E 2006, 25(1), 149-53.

Author introduce a new type of labeling known as odd mean labeling and prove that the path P_n. the complete graph K_n for n ≤ 2 the quadrilateral snake and a few more standard graphs are odd mean graphs. They also prove that the complete graph K_n and the complete bipartite graph K_1.n for n≥3 are not odd mean graphs.

4 ref

003961   Liu Y;Oyet A J (Mathematics and Statistics Dep, Memorial Univ Newfoundland St. John's, NL, Canada, Email: yliu@math.mun.ca) : Exact wavelet designs for discrimination. Sankhya 2006, 68(Pt4), 569-86.

Author discuss the construction of minimax Bayesian T-optimal, D-ratio optimal and sequential G-optimal designs for discrimination between competing wavelet representations of nonparametric regression models. In our examples we use the multiwavelet and Daubechies wavelet systems. We find that symmetry is an important property of designs for multiwavelet models, whereas designs for Daubechies wavelet models are nonsymmetric.

2 illus, ref

003960   Kuldeep Kumar;Rajesh Kumar (Mathematics Dep, National Institute of Technology, Kurkshetra-136 119, Email: kuldeepnitk@yahoo.com) : Finite deformation of a rotating right circular cylinder for an incompressible hyperelastic material. Bull pure appl Sci-Sect E 2006, 25(1), 73-80.

Principal stretches technique is used to analyze the problem of a right circular cylinder rotating about its axis with an angular velocity. The analysis is carried out in the context of the finite deformation theory by using a strain energy function proposed by Blatz [1], based upon Seth's [2] generalized strain measure. as a function of principal stretches. It is observed that the radial and azimuthal stresses are tensile at all points and becomes zero at the curved surface while axial stresses are tensile in the region r <60>707174 a' and becomes compressive for the remaining region of the cylindrical surface.

15 ref

003959   Khalsa L;Khobragade N W (Mathematics Dep, MJP Educational Campus,Nagpur Univ, Nagpur-440 010) : Steady-state thermoelastic problem of a finite length hollow cylinder in Marchi-Zgrablich transform domain. Bull pure appl Sci-Sect E 2006, 25(1), 39-50.

Attempt has been made to solve three direct problems of thermoelasticity. In all the problems, an attempt has been made to determine the temperature, displacement and stress functions in the isotropic hollow cylinder of length n occupying the space D: a ≤ r ≤ b, 0 ≤ = ≤ h by applying finite Marchi-Zgrablich transform technique. In the first problem, the temperature [T(r,z)]_=h = f(r) is a known function of r and the homogeneous boundary condition of the third kind is maintained on the curved surfaces while on lower plane surface, the temperature is maintained at g(r), which is a known function of r. In the second problem, the heat flux [δT (r,z) /δZ]_=h =f(r) is a known function of r and the homogeneous boundary condition of the third kind is maintained on the curved surfaces while on lower plane surface, the heat flux is maintained at g(r). which is a known function of r. In the third problem, the third kind boundary condition [T (r, z)+ δT (r, z) /δZ]_=h =f(r) is a known function of r and the homogeneous boundary conditions of the third kind is maintained on the curved surfaces while on lower plane surface, the third kind boundary condition is maintained at g(r). which is a known function of r.

6 ref

003958   Ke J C;Wang K H;Liou C H (Statistics Dep, National Taichung Institute of Technology, No. 129, Sec. 3, Sanmin Road, Taichung 404, Taiwan, R.O.C, Email: jauchuan@ntit.edu.tw) : Single vacation model G/M/1/K with N threshold policy. Sankhya 2006, 68(Pt2), 198-226.

Studies a G/M/l/K queueing system, where the server applies an N policy and takes a single vacation when the system is empty. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining inter-arrival time, to develop the steady-state probability distributions of the number of customers in the system. The method is illustrated analytically for exponential inter-arrival time distribution. Hereby, we establish the distributions of the number of customers in the queue at pre-arrival epochs and at arbitrary epochs as well as the distributions of the waiting time and the busy period.

3 tables, 31 ref

003957   Katkar L N;Khairmode D S (Mathematics Dep, Shivaji Univ, Kolhapur (M. S.)-416 004) : Geometry of the world line of the time-like particle in the schwarzschild space-time. Bull pure appl Sci-Sect E 2006, 25(1), 85-96.

With the help of rheotetrad the expressions for the curvature - K, torsion- T and the bi-torsion- B of the world line of the time-like particle are obtained in -terms of Newman-Penrose spin coefficients. It is observed that the torsion of the world line of the particle is zero iff n^a is parallelly propagated along the geodesic vector field u^a. while the bi-torsion field is zero if and only if n and m^a are parallelly propagated along the geodesic vector field u^a @. These expressions relative to the Schwarzschild space-time are shown to be. K= -m/r² (1-2m/r)^-1/2, T=0 and B=0. Consequently, the world line of the particle in the Schwarzschild space-time is a torsion free plane curve. Similarly, the expression-for the Riemann curvature K₁, at a point of a space-time for the orientations determined by two null vectors is defined. At a point of the Schwarzschild space-time, it is shown that K₁= -2m/r³, for the orientations determined by two real null vector fields l^a and n^a , while for complex null vector fields it is K¹ = 2m/r⁷ cos ec²θ. For r<62> 2m. K₁<60>K.

9 ref

003956   Kadhao S R;Thengane K D (NO, Dnyanesh Mahavidyalaya, Nawargaon-441 223) : Plane wave solutions of field equations R_ij = O in V₆ with two time axes. Bull pure appl Sci-Sect E 2006, 25(1), 193-7.

2 ref

003955   Jain N K;Rakesh Kumar (Statistics and Operational Research Dep, Kurukshetra Univ, Kurukshetra-136 119, Email: rakesh_stat_kuk@yahoo.co.in) : A catastrophic queuing system with correlated batch arrivals and variable service capacity. Bull pure appl Sci-Sect E 2006, 25(1), 97-104.

Author study a catastrophic queuing system with correlated batch arrivals and service in batches of variable size. Perform the transient analysis of the model using probability generating function technique. Obtain the Laplace Transform of the probability generating function of system size. Finally, some particular cases of the model have been derived and discussed.

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003954   Jacroux M (Statistics Dep, Washington State Univ, Pullman, WA-99164, Email: jacroutx@wsu.edu) : Reverse foldovers for 2<. Sankhya 2006, 68(Pt2), 554-68.

Two-level regular fractional factorial designs are often used in industry as screening designs to help identify early in an experiment process those experimental or system variables which have significant effects on the process being studied. In a recent paper, Li and Lin (2003) suggesied a strategy for constructing optimal follow up designs using the well known foldover technique and the minimum aberration criterion. In this paper, we consider the reverse foldover problem. In particular, given a 2_m-k combined design D, we derive simple sufficient conditions which can be used to determine if there exists a 2_m-(k+1) inital design d which yields D as a foldover combined design, as well as show how to generate all such d. Such information is useful in developing an overall experimental strategy in situations where a follow up design is anticipated and the experimenter is looking for an overall "good" design possessing desirable properties.

3 tables, 13 ref

003953   Huq F (School of Biomedical Sciences, Faculty of Health Sciences, Sydney Univ, PO Box 170, Lidcombe, NSW 1825, Australia, Email: f.huq@fhs.usyd.edu.au) : Molecular modelling analysis of the metabolism of aspirin. Asian J Chem 2007, 19(1), 102-8.

Molecular modelling analyses using molecular mechanics, semi-empirical and DFT calculations have been carried out to investigate the relative stability of aspirin and its metabolites. The results support the idea that the metabolites of aspirin, especially salicyluric acid, can be more toxic than the parent compound because of higher reactivity. It may cause glutathione depletion, thus compromising the antioxidant status of the cell.

8 illus, 2 tables, 9 ref

003952   Hungund C P S (Statistics Dep, Gulbarga Univ, Gulbarga (Karnataka)) : Sequential confidence intervals for the variance of Koopman's Dermois family of processes. Bull pure appl Sci-Sect E 2006, 25(1), 177-81.

Objective of the present paper is of obtaining a sequential confidence intervals for the variance of Koopman's Dermois family of process through the closed sequential decision procedures.

15 ref

003951   Gopalan M A;Devibala S (Mathematics Dep, Shrimati Indira Gandhi College, Trichy-620 002, Email: devibala27@yahoo.com) : Parametric solutions of two multi-degreed equalities. Bull pure appl Sci-Sect E 2006, 25(1), 185-6.

2 ref

003950   Ghosal S;Tang Y (Statistics Dep, North Carolina State Univ, 2501 Founders Drive Raleigh, NC 27695-8203, U.S.A, Email: ghosal@stat.ncsu.edu) : Bayesian consistency for Markov processes. Sankhya 2006, 68(Pt2), 227-39.

Walker (2004) developed a martingale based technique for posterior consistency giving a useful alternative to the classical technique based on hypothesis testing for i.i.d. data. In this article, authors extend some of his results to ergodic Markov processes.

11 ref

003949   Gayathri B;Bhaskaran R (Mathematics Dep, Govt. Arts College for Women, Pudukkottai) : Characterization of w-maps in terms of invertibility. Bull pure appl Sci-Sect E 2006, 25(1), 187-9.

Let F be a Non-Archimedean Non-Trivially Rank I Valued Complete Field. For a Compact 0-dimensional Hausdorff space X, C(X) denotes the space of all continuous maps defined on X with values in F, with the supremum norm. In this paper, author characterize W-maps in terms of invertibility.

5 ref

003948   Gayathri B;Bhaskaran R (Mathematics P.G. Dep, Govt. Arts College for Women, Pudukkottai) : S - separating maps and w-maps. Bull pure appl Sci-Sect E 2006, 25(1), 109-12.

Let F be a Non-Archimedean Non-Trivially Rank I Valued Complete Field. For a Compact zero-dimensional Hausdorff space X, C(X) denotes the space of all continuous maps defined on X with values in F, with the supremum norm. In this paper, author define Separating, s-Separating. W-Maps and we establish the connection between them.

3 ref

003947   Dasgupta R (NO, Indian Statistical Institute Stat. Math. Unit, 203 Barrackpore Trunk, Road Kolkata-700 108, Email: rdgupta@isical.ac.in) : Nonuniform rates of convergence to normality. Sankhya 2006, 68(Pt4), 621-36.

Nonuniform rates of convergence to normality are studied for standardized sample sum of independent random variables in a triangular array when mth moment of the variables is of order L^m exp(γm log m), L<62>0,0 <60> γ <60> 1, ∀m <62> 1; equivalently, sup_n≥1 n^-1 Σ_i=1ⁿ E exp(s<124>Xⁿⁱ<124>^1/γ <60> ∞, for some s <62> 0. This assumption goes beyond the existence of moment generating functions of individual random variables. As 0 < 7 < 1, one gets a clear picture of the role of γ on rates of convergence, while one moves from the assumption of existence of the moment generating functions of the random variables to the boundedness of the random variables, by varying γ. Lin-nik (1961) considered convergence rates in iid setup with variables having moment generating functions at the most. The general results considered in the present paper reduce to those of Dasgupta (1992) in the special case γ = 1/2. The nonuniform bounds are used to obtain rates of moment type convergences and L_p version of Berry-Esseen theorem. An upper bound for the tail probability of standardized sample sum being greater than t is computed. For 0 <60> γ <60> 1/2 and t large, this probability is shown to have a faster rate of decrease than normal tail probability. The results are extended to general nonlinear statistics and linear process.

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003946   Chen J;Gupta A K;Pan J (Statistics & Actuarial Science Dep, Waterloo Univ, Waterloo, Ontario N2L 3G1, Canada, Email: jhchen@math.uwaterloo.ca) : Information criterion and change point problem for regular models. Sankhya 2006, 68(Pt2), 252-82.

Information criteria are commonly used for selecting competing statistical models. They do not favour the model which gives the best fit to the data and little interpretive value, but simpler models with good fit. Thus, model. complexity is an important factor in information criteria for model selection. Existing results often equate the model complexity to the dimension of the parameter space. Although this notion is well founded in regular parametric models, it lacks some desirable properties when applied to irregular statistical models. We refine the notion of model complexity in the context of change point problems, and modify the existing information criteria. The modified criterion is found consistent in selecting the correct model and has simple limiting behaviour. The resulting estimator t of the location of the change point achieves the best convergence rate O_p(1), and its limiting distribution is obtained. Simulation results indicate that the modified criterion has better power in detecting changes compared to other methods.

3 illus, 1 table, 32 ref

003945   Chandrasekhara Rao K;Gowri R (Mathematics Dep, , Sastra, Srinivasa Ramanujan Centre, Kumbakonam-612 001, Email: sastragowri@rediffmail.com) : On biclosure spaces. Bull pure appl Sci-Sect E 2006, 25(1), 171-5.

Aim of the present paper is to study some separation properties in Biclosure spaces such as T₀, T₁ , and T₂ which involve only pair of distinct points.

3 ref

003944   Cerquetti A;Fortini S (NO, Istituto di Metodi Quantitativi Universita Bocconi, Viale Isonzo 25 20135 Milano, Italy, Email: annalisa.cerquetti@unibocconi.it) : Poisson approximation for coloured graphs under exchangeability. Sankhya 2006, 68(Pt2), 183-97.

Author introduce random graphs with exchangeable hidden colours and prove an asymptotic result on the number of times a fixed graph appears as a subgraph of such a random graph. In particular, we give necessary and sufficient conditions for the number of subgraphs isomorphic to a given graph to converge, under a negligibility assumption on the frequencies of colours. Moreover, we prove that the limiting law, when it exists, is a mixture of Poisson distributions. Our proofs rely on Stein-Chen method for Poisson approximations of sums of weakly dependent random variables. Finally, we discuss an application of the asymptotic result in Bayesian modeling.

20 ref

003943   Bochkina N (Epidemiology Public Health Dep, Imperial College, London, W2 1PG, United Kingdom, Email: n.bochkina@imperial.ac.uk) : On pointwise optimality of Bayes factor wavelet regression estimators. Sankhya 2006, 68(Pt2), 513-41.

Author investigate the theoretical performance of Bayes factor estimators at a single point in wavelet regression models with independent and identically distributed errors that are not necessarily normally distributed. Also compare these estimators in terms of their frequentist pointwise optimality in Besov spaces for certain combinations of error and prior distributions.

27 ref

003942   Bhatra Charyulu N C (Statistics Dep, O.U. College for Women, Koti, Hyderabad-500 195) : Method for the construction of sord. Bull pure appl Sci-Sect E 2006, 25(1), 205-8.

Useful type of designs for fitting second order response surfaces are the 'Second Order Rotatable Designs' (SORD). These designs have the property that the variance of the estimated response at a point depends on the distance of that point from a suitably chosen origin, so that all those points, which are equidistant from the origin, have the same variance of the estimated response. In the present paper, an attempt is made to obtain a new method for the construction of SORD.

3 ref

003941   Baruah A K;Changmai J (Mathematics Dep, Dibrugarh Univ, Dibrugarh-786 004) : Finite element approach in a two-parameter eigen value problem. Bull pure appl Sci-Sect E 2006, 25(1), 15-37.

Plentiful applications of eigenvalue problems of special forms with optimal discretization or lumping and condensation of parameters in mathematical systems occur quite extensively in analyzing structures and continua. In the eigen spectrum, the eigenvalues of interest are to be extracted efficiently in closed form using various techniques of integration. separation of variables and so on, together with state variables attached with certain boundary conditions already imposed there in. And, in essence, differential and variational formulations of the governing systems appear destined to supplant other successive eigenvalue problems in the form of matrices and thereby into algebraic equations associating two or more parameters occurring in nodal sparsity among the finite element community. In this area, two or multi parameter problems are in under developed stages both theoretically and numerically in comparison to one-parameter problems. In finding the rough estimation of the eigenvalue of a two parameter promlem. in ordinary differential equation; in this paper, a finite element procedure for a linear Lagrange's polynomial is used rather then trial and error method. Actual values of the pair of eigenvalues can be obtained using their rough estimates as starting approximation in the corresponding shooting method.

17 ref

003940   Ashrafi A R;Gholami A (Math Dep, Faculty of Science, Kashan Univ, Kashan, Iran, Email: gholami@kashanu.ac.ir) : Symmetry of tetra-tert-butyltetrahedrane. Asian J Chem 2007, 19(1), 569-73.

Atom centers of tetra-tert-butyltetrahedrane molecule using the chemistry package HyperChem is calculated followed by the automorphism group of Euclidean, Graph of this molecule is computed by Gap System.

1 illus, 1 table, 19 ref

003939   Abdelbasit K M;Butler N A (Mathematics & Statistics Dep, College of Science Sultan Qaboos Univ, P.O. Box 36, P.C. 123 Al-Khod, Sultanate of Oman, Email: khidir@squ.edu.om) : Minimum bias designs for generalized linear models. Sankhya 2006, 68(Pt4), 587-99.

Minimum bias (all bias) designs for the linear model were proposed by Box and Draper. In this article we extend their results to generalized linear models. We show that, in the canonical case, the minimum bias design density is: (a) proportional to the weight function reflecting the importance of each design point, and (b) inversely proportional to the observation variance at each point. We also derive minimum bias design densities in non-canonical cases. Implications for binary, Poisson and exponential data are considered in the examples. From these examples we observe that when the experimenter is mainly interested in the mean of the Binomial, Poisson or exponential distribution, rather than the canonical parameter, and if the weight function is chosen to be inversely proportional to the variance of the maximum likelihood estimator of the mean, minimum bias designs are uniform. These uniform designs automatically minimize the bias/standard error ratio and the mean square error/variance ratio.

18 ref

003433   Xie T;Zuo K (Mathematics Dep, Hubei Normal Hubei Univ, Huangshi, P.R. China-435 002, Email: xietao_1294@163.com) : On linear combinations of an idempotent and an involutive matrix. J Algebra Discrete Struct 2009, 7(1), 33-41.

Let A = a AI + c2A2, where c,c2 are nonzero complex numbers and (A1, A2) is a pair of two n x n nonzero matrices. Auther consided the problem of characterizing all situations where a linear combinations of the form A = c1A1 + c2A2 is a tripotent or an idempotent or an involutive matrix when A1 is an idempotent matrix and A2 is an involutive matrix which is commuted with A₁.

7 ref

003432   Xie T (Mathematics Dep, Hubei Normal Hubei Univ, Huangshi P.R. China-435 002, Email: xietao_1294@163.com) : Clebsch-gordan peoblem for P-generalized unitary matrices. J Algebra Discrete Struct 2009, 7(1), 1-7.

By the definition of P-inner product and the detailed study of P-generalized unitary matrices, the Jordan canonical forms and Clebsch-Gordan decompositions for the generalized unitary matrices are obtained.

7 ref

003431   Udaya Chandrika K;Sumitha D (NO, Avinashilingam Deemd Women Univ, Coimbatore-641 043) : Bulk arrival two phase retrial queue with feedback and orbital search. Res Highlight 2010, 20(4), 225-31.

4 ref

003430   Singh S J;Raman Kumar;Sunita Rani (Mathematics Dep, University of Delhi, South Campus, New Delhi-110 021, Email: s_j_singh@yahoo.com) : Consolidation of a poroelastic half-space with anisotropic permeability and compressible constituents by axisymmetric surface loading. J Earth Syst Sci 2009, 118(5), 563-74.

Fully coupled Biot quasi-static theory of linear poroelasticity is used to study the consolidation of a poroelastic half-space caused by axisymmetric surface loads. The fluid and solid constituents of the poroelastic medium are compressible and its permeability in the vertical direction is different from its permeability in the horizontal direction. An analytical solution of the governing equations is obtained by taking the displacements and the pore pressure as the basic state variables and using a combination of the Laplace and Hankel transforms. The problem of an axisymmetric normal load is discussed in detail. An explicit analytical solution is obtained for normal disc loading. Detailed numerical computations reveal that the anisotropy in permeability as well as the compressibilities of the fluid and solid constituents of the poroelastic medium have significant effects on the consolidation of the half-space. The anisotropy in permeability may accelerate the consolidation process and may lead to a dilution in the theoretical prediction of the Mandel-Cryer efect. The compressibility of the solid constituents may also accelerate the consolidation process.

7 illus, 22 ref

003429   Romeo P G (Mathematics Dep, Govt. Engineering College Thrissur, Kerala, Email: romeo_parackal@yahoo.com) : Fundeamental weakly abundant semigroups. J Algebra Discrete Struct 2009, 7(1), 43-51.

Fundamental semigroups are those semigroups which cannot be shrunk homomorphically without collapsing idempotents together. A semigroup S in which each L. [R]- class contains idem-potent is a weakly abundant semigroup. In this paper .Auther describe a congruence μ, on a weakly abundant semigroup S with biordered set of idempotents E such that S/μ, is fundamental.

9 ref

003428   Moorthy M B K;Senthilvadivu K (Mathematics Dep, Institute of Road and Transport Technology, Erode-638 616) : Effect of thermal stratification on convective heat transfer past a vertical plate embedded in porous medium with an applied magetic field. Int J Comp Applic 2009, 4(1), 85-101.

Free convection flow over a vertical plate embedded in a saturated porous medium in the presence of an Applied Magnetic field together with Thermal stratification effect is analyzed based on the boundary layer approximation. Similarity solutions are obtained for the case of power law variation in wall temperature. The resultant equations are solved numerically by using Runge - Kutta Gill method. Effects of porous parameter (K), Magnetic field parameter (N) and Thermal stratification parameter (M) on the behavior of nusselt number, velocity and temperature variations have been brought out. Velocity and temperature profiles are presented for different values of e -the power law index of the surface temperature, C- the parameter influences on the magnetic field and M-the thermal stratification parameter. The viscous boundary layer thickness and thermal boundary layer thickness are also obtained.

18 illus, 9 tables, 15 ref

003427   Jain A;Lee J S (NO, , 32, Uttranchal 5, I.P. Extension, Delhi, Email: jainarihant@live.com) : Quasi-deterministic virtual finite automaton (QDVFA) of order. J Algebra Discrete Struct 2009, 7(1), 9-31.

In this paper, auther introduce the notion of Quasi-deterministic Virtual Finite Automaton (QDVFA) of order (s, t) and study the language recognition capabilites of the same.

9 illus, 2 tables, 14 ref

002172   Srinivasan A;Vidhya S (Mathematics PG & Research Dep, Bishop Heber College, Trichy-17, Email: mathsrinivas@yahoo.com) : Manpower model for a two grade system with bivariate policy of recruitment. Int Rev pure appl Math 2010, 6(1), 105-12.

In this paper, an organization having two grades in which depletion of manpower occurs at every decision epoch is considered. Using biivariate max policy of recruitment, based on shock model approach mathematical model is constructed. It is assumed that the system has constant combined threshold and the inter-decision times are independent, identically distributed exponential random variables. The mean and variance of the time to recruitment are derived for the above model. The analytical results are substantiated with numerical illustrations.

3 tables, 9 ref

002171   Srinivas K V R;Kumar R N (NO, Regency Institute of Technology, Adavipolam, Yanam-533 464, Email: srinivas_kandarpa06@yahoo.co.in) : Arbitrary family of regular semigroups. Int Rev pure appl Math 2010, 6(1), 73-6.

In this paper mainly we obtained important properties on arbitrary family of regular semigroups.

2 ref

002170   Sozen Y (Mathematics Dep, Fatih Univ, 34500 Buyukcemece, Istanbul, Turkey, Email: ysozen@faith.edu.tr) : On quasi-diagonal isomorphisms of infinite and finite type dragilev kothe spaces. Indian J pure appl Math 2009, 40(5), 295-314.

Let 1 ≤ a_n ↑ ∞, κ be a function on the set of positive integers into itself and χ denotes the characteristic function of [0, ∞). Considerd the Kothe spaces of type D_∞(κ, γ, a) = <75>([a_pn]) where a_pn = exp([p + γ_nχ(p - κ_n)]a_n), p ∈ N, γ_n ≥ 1, D₀(κ,γ,a) = <75>([a_pn]) where a_pn = exp([-1/p + γ_nχ(p - κ_n)]a_n), p ∈ N, γ_n ≥ 0 and H_∞ (κ,γ,a) = K([a_pn}) where a_pnn = exp([p + γ_n min(p, κ_n)]a_n), p ∈ N, γ_n ≥ 1. Authors characterized the quasi-diagonal isomorphisms between these type of spaces. Moreover, it is shown that these spaces are not identical, in the topological sense.

9 ref

002169   Singh S R;Kumar J (Mathematics Dep, D.N. College, Meerut, Email: shivrajpundir@yahoo.com) : Integrated supply chain model with stock & time dependent demand, inflation and trade credits. Int Rev pure appl Math 2010, 6(1), 89-103.

A Supply chain strategy defines how the supply chain should operate in order to compete in the market, supply chain strategy focuses on the actual operations of the organization and the supply chain that will be used to meet a specific goal. This paper develop an integrated supply chain model for the perspectives of both the vendor and buyer. In real life situation, the storage cost vary according to time. The storage time can be classified into different ranges, each with its distinctive unit holding cost. Thus, two times dependent holding cost step functions are considered that is retroactive and incremental holding cost. Effect of inflation, shortages and stock & time dependent demand also taken in account. However in practice, it is found that the purchaser is allowed a permissible period to pay back the cost of goods bought without paying any interest. Depending on the length of that payment period, the purchaser can earn interest on the sales of the inventory. Thus, in the present paper we discussed the different cases for demand, when demand is constant, stock dependent & time dependent. At last numerical examples are provided to illustrate the model for different cases.

14 ref

002168   Singh S R;Kavita Devi (Mathematics Dep, D.N. College, Meerut, Email: shivrajpundir@gmail.com) : An inventory model for deteriorating items with shortages and inflation. Int Rev pure appl Math 2010, 6(1), 161-79.

In this study, auther propose an inventory model for a differential item, units of which are not in perfect conditions, sold from two-shops with stock-dependent demand rate and inflation. Initially, items are purchased in lots and received at the primary shop with an infinite rate of replenishment, then perfect and defective units are separated, only the perfect/good units are sold form the primary with a profit and its demand is a deterministic linear function of current stock level. In the study shortages are allowed and fully backlogged. Finally, a numerical illustration is used to study the behavior of the model.

23 ref

002167   Sekar S;Jaganathan K (Mathematics Dep, A.V.C. College (Autonomous), Mannampandal, Mayiladuthurai-609 305, Email: sekar_nitt@rediffmail.com) : Analysis of the singular and stiff delay systems using single- term haar wavelet series. Int Rev pure appl Math 2010, 6(1), 117-24.

In this paper, a new method of analysis of the singular and stiff delay systems using single-term Haar wavelet series (STHW) is presented. To illustrate the effectiveness of the STHW, an example of the stiff and singular systems has been considered and the solutions were obtained using the Classical fourth order Runge-Kutta method (RK) and STHW and are compared with the exact solutions of the stiff and singular systems. An error graph for the stiff and singular systems has been presented in a graphical form to show the efficiency of this STHW. This STHW can be easily implemented in a digital computer and the solution can be obtained for any length of time.

4 illus, 25 ref

002166   Sanjeev Kumar;Pathak P (Mathematics Dep, Dr. B.R. Ambedkar Univ, IBS, Khandhari, Agra-282 002, Email: sanjeevibs@yahoo.co.in) : Fuzzy based bonus - malus system for premium decision in car insurance. Int Rev pure appl Math 2010, 6(1), 77-88.

The basic job of an insurance sector is to make convenient for car owner to pay premium according to the uses of their car. Many factors affect the premium when you pay for auto insurance. Each is a statistically based risk for a specific population. The higher the risk associated with a person, the more he or she is likely to pay for coverage. There are numerous factors including driver's gender, health condition of driver, geographical condition of area of car running, Kilometer driven per year, colour of car, purpose for using the vehicle (commuting to work, using for work, leisure only), etc. This model describes how fuzzy logic can be used to make insurance premium decisions. The fuzzy set theory is developed to improve the classical bonus-mains rating system in car insurance. This model contains three factors i.e. age of car in Km driven, health condition of car and, geographical condition of area is taken in consideration for calculation of premium.

3 ref

002165   Ravi K;Kodandan R (Mathematics Dep, Sacred Heart College, Tirupattur-635 601, Email: shckravi@yahoo.co.in) : Stability of additive and quadratic functional equation in non-archimedeam spaces. Int Rev pure appl Math 2010, 6(1), 149-60.

In this paper, we study the stability of Additive and Quadratic functional equation f(xz/y+ yw/x) + f (xz/y - yw/x) = 2f (xz/y) + f(yw/x) + f(- yw/x) where x, y ≠ 0, in non-Archimedian spaces.

20 ref

002164   Ramana S V;Basha S Shareefh;Bhaskar A Vijay (Mathematics Dep, S.V. Univ, Tirupathi, Andhra Pradesh) : On reverse super edge-magic labeling of a graph. Int Rev pure appl Math 2010, 6(1), 181-8.

A graph G(V, E) is called super edge-magic labeling if there exists a bijection f: V ∪ E → {1,2, 3,<157>, v + ∍} such that for all edgesxy,f(x) + f(y) +f(xy) are the same and f(T(G))= {1,2,3, <157>, ∍} and f(E(G))= {v+1, v + 2, v + 3, <157>, v + ∍}. Defined reverse super edge - magic labeling of a graph G(F, E) is a bijection f:V ∪ {1,2,3,<157>., V + ∍} such that for all edges xy, f(xy)-{f(x)+f(y)} are the same and f(V(G))= {1,2,3,<157>, v} and f(E(G))= {v+1, v + 2, v + 3,<157>, v + ∍}. Discussed the reverse super edge-magic labeling of some well known graphs.

4 illus, 9 ref

002163   Ramabhadrasarma I;Kumar V S (NO, K.L. Univ, Vaddeswaram Andhra Pradesh) : On the maximal ideals in the banach space of quasicontinous functions. Int Rev pure appl Math 2010, 6(1), 41-5.

A real valued function f on [0, 1] is quasicontinuous if it has almost discontinuities of the first kind only. Such functions are bounded and form a commutative Banach algebra with identity. The maximal ideals in this Banach algebra are identified to be of the form {x/x(f) = 0} or (x/x(t+) = 0} or (x/x(t+) = 0} for some t ∈ [0, 1].

3 ref