013217   Jain R;Nahar R (Mathematics Dep, Malaviya National Institute of Technology, Jaipur-302 017, Email: rshmiramessh@gmail.com) : On a double integral involving the product of generalized mellin barnes type contour integrals S_v<. Proc Natn Acad Sci India-Sect A 2009, 79(PtII), 195-203.

The aim of the present paper is to establish an interesting double integral involving the product of two H -functions, multi-variable general polynomial and a general sequence of functions under more general conditions for the existence of the defining Mellin Barnes type contour integral of the H -function than those given earlier. A very large number of integrals(new and known) involving named functions like reduced Green function, Mittag-Leffler function, polylogarithm function, Konhauser biorthogonal polynomial, Cesaro polynomial, multivariable Hermite polynomial and several others that find applications in solving boundary value problems occurring in engineering sciences and statistics follow as special cases of ourtmain result.

13 ref

013216   Acharya B D;Acharya M (NO, , H. No. 22, 10th Cross, 5th Main, Malleshpalya, New Thippasandra Post, Bangalore-560 75, Email: bdacharya@yahoo.com) : Standradization of perspectives into degree-splitting graph of a graph. Proc Natn Acad Sci India-Sect A 2009, 79(PtII), 191-4.

In this note, the notion of degree-splitting graph of a given graph is put on sound theoretical foundation with perspectives into other important directions of research in graph theory, with particular reference to classical notions of homomorphisms and contractions of a graph.

6 ref

012117   Zaharescu A;Zaki M (Mathematics Dep, Illionois at Urbana-Champaign Univ, 1409 W. Green Street, Urbana, IL, 61801, USA, Email: zaharesc@math.uisc.edu) : ABC analog for arithmetical functions. J Ramanujan Mathl Soc 2010, 25(4), 345-54.

In this paper authors stated and proved an analog of the ABC conjec-ture in the ring A_R (K) of arithmetical functions in r variables over a field K of characteristic zero.

19 ref

012116   Victorbabu R R E;Sateesh C H;Abbaiah R (Statistics Dep, Acharya Nagarjuna Univ, Guntur-522 510) : Note on second order slope rotatable designs using symmetrical unequal block arrangements with two unequal block sizes. Ultra Scient phys Sci 2009, 21(1), 79-84.

A new method of construction of second order slope rotatable designs using symmetrical unequal block arrangements with two unequal block sizes is studied and constructed for 6 ≤ v ≤ 16 (v: the number of factors).

1 table, 11 ref

012115   Vaidya S K;Bijukumar L (NO, Saurashtra Univ, Rajkot-360 005, Email: samirkvaidya@yahoo.co.in) : Mean labeling for some new families of graphs. Prajna 2010, 18(1-4), 115-16.

Some new families of mean graphs are investigated. Proves that the step ladder graph, total graph of path P_n are mean graphs. In addition to this we derive that two copies of cycle C_n, sharing a common edge admits mean labeling.

3 illus, 8 ref

012114   Thapar A;Pandey D;Gaur S K;Srivastava P (Mathematics Dep, Dayalbagh Educational Institute, Agra-282 005, Email: dpdr@rediffmail.com) : Linear optimization problem subject to fuzzy relation equation equations as constraints. Natn Acad Sci Lett 2009, 32(1-2), 27-34.

Deals with a linear optimization problem with max-1 fuzzy relation equations as constraints, t being a hamacher t-norm. Since the non-empty feasible domain of fuzzy relation equations is in general a non-convex set, the conventional linear programming methods cannot be applied. Therefore, an efficient procedure for such problems appears to be necessary. In this communication, we characterize the feasible domain and then introduce procedures to solve the problem. Example is given for the illustration of the procedure.

17 ref

012113   Tadic M (Mathematics Dep, Zagreb Univ, Bijenicka 30, 10000 Zagreb, Croatia, Email: tadic@math.hr) : On automorphic duals and isolated representations; new phenomena. J Ramanujan Mathl Soc 2010, 25(3), 295-328.

Study the automorphic duals of split classical groups in the non-archimedean case (defined in [10]), and a relation between isolated points in the unitary and automorphic duals. Particular attention is devoted to the unramified unitary representations ([26]). In the unramified case, we study relation between the property of being automorphic (and isolated there), and intrinsic properties of representations. In the case of split classical groups author gave combinatorial formulas for the number of isolated representations in the unramified unitary duals (these representations are also isolated representations in the automorphic duals), and for the number of so called strongly negative representations, which can be expected to be sets of isolated representations in the unramified automorphic duals. For the difference of special linear groups, we have plenty of both of these representations. Also discussed the case of automorphic duals of general linear groups.

39 ref

012112   Sivasamy R;Pukazhenthi N (Statistics Dep, Faculty of Social Sciences, Botswana Univ, P. Bag 00705, Gaborone, Botswana, Email: ramasamysr@mopipi.ub.bw) : Discrete time bulk service queue with accessible batch: Geo/NB<. Opsearch 2009, 46(3), 321-34.

This paper considers a discrete-time queue of packets awaiting movement according to the bulk service rule (L, K). Time is assumed to be divided into equal intervals called slots. The analysis has been carried out under the assumption that (i) service times of batches are independent of the number of packets in any batch, and (ii) there is no simultaneous arrival of packets and departure of batch in a single slot. The packets arrive one by one and their inter arrival times follow geometric distribution. The arriving packets are queued in FIFO order. One server transports packets in batches of minimum number L and maximum K and service times follow negative binomial NB(α, P₁) distribution. The server accesses new arrivals even after service has started on any batch of initial number 'j' (L ≤ j <60> K). This operation continues till the random service time of the ongoing batch is completed or the maximum capacity of the batch being served attains "K' whichever occurs first. The distribution of system occupancy just before and after the departure epochs is obtained using discrete-time analysis (DTA). The primary focus is on the various performance measures of the steady state distribution of the batch server at departure instants and also on numerical illustrations.

2 illus, 3 tables, 16 ref

012111   Sivaiah M;Nagarajan A S;Reddy P S (Mathematics Dep, N.B.K.R. Science & Arts College, Vidyanagar-524 413) : Heat and mass transfer effects on MHD free convection flow of an incompressible viscous dissipative fluid past an oscillating plate embedded in porous medium. Ultra Scient phys Sci 2009, 21(1), 109-16.

The unsteady transient free convection flow of incompressible dissipative fluid past an infinite vertical oscillating plate through porous medium is considered taking account of viscous dissipative heat under the influence of a uniform transverse magnetic field. The governing equations are solved by finite difference method. The results are obtained for velocity, temperature and concentration profiles. The effects of various parameters are discussed on flow variables and presented by graphs.

13 illus, 11 ref

012110   Samuels C L (Mathematics Dep, British Columbia Univ, 1984 mathematics Road, Vancouver, BC V6T 1Z2, Canada, Email: csamuels@math.ubc.ca) : Collection of metric mahler measures. J Ramanujan Mathl Soc 2010, 25(4), 433-56.

Let M(α) denote the Mahler measure of the algebraic number a. In a recent paper, Dubickas and Smyth constructed a metric version of the Mahler measure on the multiplicative group of algebraic numbers. Later, Fili and the author used similar techniques to study a non-Archimedean version. We show how to generalize the above constructions in order to associate, to each point in (0, ∞], a metric version M_x of the Mahler measure, each having a triangle inequality of a different strength. We are able to compute M_x(α) for sufficiently small x, identifying, in the process, a function M with certain minimality properties. Further, we show that the map x → M_x(α) defines a continuous function on the positive real numbers.

13 ref

012109   Ramakrishnan R;Sharma P;Punnen A P (Applied Statistics Dep, MA B1 453, EPFL, Lausanne, CH-1015, Switzerland, Email: prabha@iitk.ac.in) : Efficient heuristic algorithm for the bottleneck traveling salesman problem. Opsearch 2009, 46(3), 275-88.

This paper describes a new heuristic algorithm for the bottleneck traveling salesman problem (BTSP), which exploits the formulation of BTSP as a traveling salesman problem (TSP). Computational tests show that our algorithm is quite effective. It found optimal solutions for many problems from the standard traveling salesman problem library (TSPLIB) problems. We also consider BTSP with an additional constraint and show that our BTSP heuristic can be modified to obtain a heuristic to solve this problem. Relationships between symmetric and asymmetric versions of BTSP are also discussed.

2 tables, 25 ref

012108   Pieume C O;Fotso L P;Siarry P (Computers Sciences and Operation Research Dep, GERAD, Montreal Univ, Canada, Email: copieume2001@yahoo.fr) : Solving bilevel programming problems with multicriteria optimization techniques. Opsearch 2009, 46(2), 169-83.

Introduced in this paper a new relation between bilevel programming and multicriteria optimization. We show that solving a certain class of bilevel programming problem can be equivalent to solve two independents multicriteria optimization problems. The optimal solutions of the bilevel problem are then the Pareto optimal points corresponding to the nondominated points belonging to the intersection of the two efficient sets. Comment on the practical implementation of the obtained relation is discussed. A generalisation of the relation between bilevel programming optimization and multicriteria optimization, first presented by Fulop [1] is also discussed in the paper.

24 ref

012107   Patel D R;Patel J A;Patel K C (Chemistry Dep, New Synthetic Organic Chemistry Research Laboratory, Veer narmad South Gujarat Univ, Surat-395 007) : Synthesis, characterization and application of some new hot brand bisazo reactive dyes on various fibres. Prajna 2010, 18(1-4), 63-7.

The aim of the study was to synthesize new dyestuffs based on 4,4'-methylene-bis(0-nitro aniline) derivatives in order to achieve good dyeing and fastness properties. The use of 4,4'-methylene-bis(O-nitro aniline) (1) as tetrazo component and ten different acid compounds as coupling components furnished a series often novel bisazo reactive dyes (5a-j), which were characterized by elemental analysis and different spectrometric technique like UV-Vis, IK and ¹H NMR. The dyeing performance of these dyes was assessed on silk, wool and cotton fabrics. The dyed fabric showed moderate to very good light fastness and good to excellent washing and rubbing fastness properties. The dye bath exhaustion and fixation were found to be good and acceptable.

5 tables, 18 ref

012106   Parameswaram A J (Kerala School of Mathematics, Kozhikode, Kerala and School of Mathemat, Tata Institute of Fundamental Research, Mumbai-400 095, Email: param@math.tifr.res.in) : Parabolic coverings I: the case of curves. J Ramanujan Mathl Soc 2010, 25(3), 233-51.

Defined the notion of a parabolic curve (X, 2), parabolic coverings and parabolic fundamental group both topological and algebraic. Authors proved some analogies with the etale coverings and classical fundamental groups. Then define parabolic genus g(X, Q) guided by the Hurwitz theorem for ramified coverings and show that g(X, Q) - 1 gets multiplied by the degree under a parabolic covering. Then authors proved a projection formula for parabolic vector bundles under parabolic coverings, using which obtain a cohomological criterion for semistability for parabolic bundles. Also obtain a criterion for a given map to factor through a parabolic covering in terms of parabolic bundles.

12 ref

012105   Pant M;Ali M;Singh V P (Paper Technology Dep, Indian Institute of Technology Roorkee Saharanpur Campus, Saharanpur-247 001, Email: millifpt@iitr.ernet.in) : Parent-centric differential evolution algorithm for global optimization problems. Opsearch 2009, 46(2), 153-68.

Differential evolution (DE) is a population based evolutionary search algorithm widely used for solving optimization problems. In the present article we investigate the application of parent-centric approach on the performance of classical DE, without tampering with the basic structure of DE. The parent-centric approach is embedded in the mutation phase of DE. Proposed two versions of (DE) called differential evolution with parent-centric crossover (DEPCX) and differential evolution with probabilistic parent-centric crossover (ProDEPCX) in order to improve the performance of classical DE. The proposed algorithms are validated on a test bed of ten benchmark functions and the numerical results are compared with basic DE and a modified version called trigonometric differential evolution (TDE). Empirical analysis of numerical results on the benchmark problems show that the performance of proposed versions is either at par or better in comparison to TDE and basic DE in terms of convergence rate and quality of fitness function value.

1 illus, 3 tables, 32 ref

012104   Nataraj P S V;Arounassalame M (Systems and control Enginerring, CRNTS Building Indian Institute of Technology, Bombay, Mumbai-400 076, Email: nataraj@sc.iitb.ac.in) : Algorithm for constrained global optimization of multivariate polynomials using the bernstein form and john optimality conditions. Opsearch 2009, 46(2), 133-52.

Proposed an algorithm for constrained global optimization of multivariate polynomials using the Bernstein form of polynomials. The proposed algorithm is of the branch and prune type, where branching is done using subdivision and pruning is done using the John optimality conditions for constrained minima. A main feature of this algorithm is that the branching and pruning operations are done with the Bernstein polynomial coefficients. The performance of the proposed algorithm is compared with those of existing global optimization techniques, on a few examples. The obtained results show the superiority of the proposed method over existing methods, in terms of number of iterations and computational time.

21 ref

012103   Modi H B;Trivedi P B (Mathematics Dep, Bhavnagar Univ, Bhavnagr-364 022, Email: hmb_bhav_uni@yahoo.co.in) : Generalization of unitary divisor function. Prajna 2010, 18(1-4), 117-18.

A divisor d of n is called unitary divisor if d and n/d are co-prime. A unitary divisor d of n is called a K - unitary divisor if it is co-prime to k. A unitary divisor d of n is called a K - unitary divisor if it is divisible by k. Let t_k^* (n) and t_k^*(n) denote the number of K -unitary and K^* -unitary divisor of n respectively. Here the asymptotic behaviour of T_k*(x) = Σ_<131>x t_k*(n) and T_k^<35>(x) = Σ _{tk^<35>(n) are studied, when k = p^α.}

3 ref

012102   Mallipeddi R;Suganthan P N (School of Electrical and Electronic Engineering, nanyang TEchnological univ, Singapore-639 798, Email: mallipeddi@ntu.edu.sg) : Differential evolution algorithm with ensemble of populations for global numerical optimization. Opsearch 2009, 46(2), 184-213.

Differential evolution (DE) is an efficient and powerful population-based stochastic search technique for solving global optimization problems over continuous space, which has been widely applied in many scientific and engineering fields. However, the success of DE to handle a specific problem crucially depends on the proper choice of various parameters including the size of the population. Employing the trial and error scheme to search for the most suitable parameter settings requires high computational costs. In this paper, we propose a DE algorithm with an ensemble of parallel populations in which the number of function evaluations allocated to each population is self-adapted by learning from their previous experiences in generating superior solutions. Consequently, a more suitable population size takes most of the function evaluations adaptively to match different phases of the search process/evolution. Although the evolutionary algorithms have been investigated for about five decades, to our best of knowledge so far no effective population adaptation scheme has been proposed. The performance of the DE algorithm with an ensemble of parallel populations is extensively evaluated on a suite of 14 bound-constrained numerical optimization problems and compares favorably with the conventional DE with different single population sizes.

2 illus, 10 tables, 16 ref

012101   Lang J (Mathematics Dep, Kansas Univ Lawrence, KS, 66045, USA, Email: lang@math.ku.edu) : Locating divisors on Zariski surfaces. J Ramanujan Mathl Soc 2010, 25(4), 377-92.

Let k be an algebraically closed field of characteristic p≠ 0 and X_G ⊂ A^3K be a normal surface defined by an equation of the form _ZP= g(x,y).Let F_g be the field extension of the prime subfield generated by the coefficients of g and assume the number of singularities of X_g is the maximum possible, which is generally the case. This paper describes a finite algebraic extension L_g of F_g such that L_g[x, y, z] contains a basis of the group of Weil divisors of X_g.

14 ref

012100   Kishor A;Yadav S P (Electrical Engineering Dep, I.I.T Roorkee, Roorkee-247 667, Email: amarsdma@iitr.ernet.in) : Interactive fuzzy multiobjective reliability optimization using NSGA-II. Opsearch 2009, 46(2), 214-24.

Paper presents the reliability optimization of a life-support system in a space capsule where reliability of the system is maximized while minimizing the cost. An interactive fuzzy satisficing method for deriving a Pareto-optimal solution preferred by the DM is presented here. Prior preference of the DM has been taken into account here. Using the concept of fuzzy sets and convex fuzzy decision making a multiobjective fuzzy optimization problem is formulated from the original crisp optimization problem. Different nonlinear membership functions based on the DM's preference have been employed for the fuzzification. Then, NSGA-II is applied to solve the resulting fuzzified MOOP. Resulting Pareto-optimal solution gives the DM variety of alternatives to seek an appropriate solution by modifying parameters interactively according to his/her preference again. Various Pareto-optimal fronts under different preferences of DM have been reported.

7 illus, 15 ref

012099   Kahn B (NO, Institut de Mathematiques de Jussieu, UPMC-UFR929, Mathematiques, 4 Place Jussieu, 75005 Paris, France, Email: kahn@math.jussieu.fr) : Un invariant de degre 3 des algebres centrales simples d' exposant 2. J Ramanujan Mathl Soc 2010, 25(4), 355-8.

Associated to any central simple algebra A of exponent 2 over a field of characteristic ≠ 2 an invariant with values in the degree 3 unramified cohomology of its Severi-Brauer variety modulo the image of the cohomology of the ground field. The main theorem is that this invariant is nonzero if and only if the index of A is ≥ 8.

11 ref

012098   Jha P C;Chaudhary K;Kapur P K (operational Research Faculty of Mathematical Sciences Dep, Delhi Univ, Delhi, Email: jhapc@yahoo.com) : Optimal advertising control policy for a new product in segmented market. Opsearch 2009, 46(2), 225-37.

Market segmentation is the foundation on which all other marketing actions can be based. It requires a major commitment by management to customer-oriented planning, research, implementation and control. The overall objective of using a market segmentation strategy is to improve company's competitive position and better serve the needs of customers. In this paper, used the concept of market segmentation in diffusion model for advertising a new product considering the external as well as internal influences and study the optimal advertising effectiveness rate in a segmented market. Discussed the evolution of sales dynamics in the segmented market under the assumption that the firm advertises in each segment independently. Further case of a single advertising channel, which reaches several segments with fixed spectrum, is also discussed. Such problems have not been discussed before. The optimal control theory is applied to study and solve both classes of problems.

12 ref

012097   Jawaid S;Gertz M;Corsino C;Cheung J;Seidle H; Couch R D (Chemistry and Biochemistry Dep, , George Mason Univ, Email: rcouch@gmu.edu) : Human hydroxymethlglutaryl-coenzyme a reductase (HMGCR) and statin senstivity. Indian J Biochem Biophys 2010, 47(6), 331-9.

While statins, hydroxymethylglutaryl-coenzyme A reductase (HMGCR) inhibitors, are clinically proven to reduce plasma cholesterol levels, a wide variation in inter-individual response to statin therapy has been observed. Pharmacogenetic studies have identified multiple loci that potentially contribute towards the statin response, including the HMGCR gene. To examine, if a statin-resistant, catalytically-active isoform of the human HMGCR could be generated, we have rationally altered the protein to include additional residues in the flap domain, which has a role in statin binding. Comparative enzyme assays with purified wild-type and mutant isoforms reveal the alteration imposes a slight (38%) decrease in the K_M^app for the substrate, a near 2-fold increase in turnover number, and a 480% increase in the K_i for lovastatin. Thus, alterations in HMGCR could contribute towards the synergistic effects of multiple loci in the statin response.

7 illus, 34 ref

012096   Hachimori Y (Mathematics Dep, Faculty of Science and Technology, Tokyo Science Univ, 2641, Yamazaki, Noda, Chiba, 278 8510, Japan, Email: hachimori_yashitaka@ma.noda.tus.ac.jp) : Euler characteristics of fine selmer groups. J Ramanujan Mathl Soc 2010, 25(3), 285-93.

Discusses a question (Question 1.1) on the structure of certain cohomology groups as modules over Iwasawa algebras. This is related to one of the results of Coates and Sujatha on the existence of the Euler characteristics of the fine Selmer groups.

10 ref

012095   Gireesh Kumar J;Satya Narayana P V; Ramakrishna S (Mathematics Dep, Sree Vidyanikethan Engineering College, Tirupati, A.P.) : Effect of chemical reaction and mass transfer on MHD unsteady free convection flow past an infinite vertical plate with constant suction and heat sink. Ultra Scient phys Sci 2009, 21(3), 639-50.

Presents the investigations on the influence of chemical reaction and mass transfer on magneto-hydrodynamic unsteady free convective flow of a viscous, incompressible fluid past an infinite vertical plate through porous media in the presence of constant suction and heat sink. Numerical solution for the flow problem has been obtained by solving the governing equations using multi-parameter perturbation technique. The results are obtained for velocity, temperature and concentration. The effects of various material parameters are discussed on flow variables and presented by graphs.

7 illus, 11 ref

012094   Dean A J;Ho T M (Mathematical Sciences Dep, Lakehead Univ, 955 Oliver Road, Thunder Bay, Ontario, Canada, P7B 5E1, Email: andrew.j.dean@lakeheadu.ca) : Classification of certain inductive limit type actions on approximate interval algebras. J Ramanujan Mathl Soc 2010, 25(3), 329-43.

Presented a classification, up to equivariant iso-morphism, of C*-dynamical systems (A, R, β) arising as inductive limits of directed systems {(A_N, R, β_N), (φ_NM} where each A_N is a finite direct sum of matrix algebras over the continuous functions on the unit interval and the α_N is generated by an inner derivation coming from a self-adjoint element with finite spectrum.

7 ref

012093   Dalawat C S (NO, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad-211 019, Email: dalawat@gmail.com) : Final remarks on local discriminants. J Ramanujan Mathl Soc 2010, 25(4), 419-32.

Showed how the ramification filtration on the maximal elementary abelian p-extension (p prime) on a local number field of residual characteristic p can be derived using only Kummer theory and a certain orthogonality relation for the Kummer pairing, even in the absence of a primitive p-th root of 1; the case of other local fields was treated earlier. In all cases, we compute the contribution of cyclic extensions to Serre's degree-p mass formula.

8 ref

012092   Dalawat C S (NO, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad-211 019, Email: dalawat@gmail.com) : Further remarks on local discriminants. J Ramanujan Mathl Soc 2010, 25(4), 393-417.

Using Kummer theory for a finite extension K of Q_p(ζ) (where p is a prime number and ζ a primitive p-th root of 1), computed the ramification filtration and the discriminant of an arbitrary elementary abelian p-extension of K. also developed the analogous Artin-Schreier theory for finite extensions of F_p((ν)), where ν is transcendental, and derive similar results for their elementary abelian p-extensions.

15 ref

012091   Coskun E;Dhillon A;Lemire N (Mathematics Dep, Western Ontario Univ, London Ontario N6A 5B7, Email: ecoskun@uwo.ca) : On nori's obstruction to universal bundles. J Ramanujan Mathl Soc 2010, 25(4), 359-76.

Let G be SL_N, Sp_2N or SO_2N. Considered the moduli space M of semistable principal G-bundles over a curve X. Our main result is that if U is a Zariski open subset of M then there is no universal bundle on U x X.

15 ref

012090   Bocherer S;Nebe G (NO, Kunzenhof 4B, 79117 Freiburg, Germany, Email: boecherer@t-online.de) : On theta series attached to maximal lattices and their adjoints. J Ramanujan Mathl Soc 2010, 25(3), 265-84.

The space M_K(N)* spanned by theta series of adjoints of maximal even lattices of exact level N determinant N² and dimension 2k has the Weierstrass property and hence allows us to define extremality for arbitrary squarefree level N. We find examples of such dual-extremal lattices. The space M(N)* = ⊕_KM_2K(N)* is a free module of rank N over the ring of modular forms for the full modular group generated by homogeneous elements of weight ≤ 10.

29 ref

012089   Bhardwaj R;Tandon P N (Mathematics Dep, DAV Post Graduate College, Dehradun, Uttrakhand) : Analysis of capillary tissue exchange system-fluid exchange. Ultra Scient phys Sci 2009, 21(1), 145-52.

This paper presents an analysis of capillary-tissue exchange system, representing blood by Casson fluid model flowing through a capillary of diameter 5 to 10 times larger than the red blood cells and the suspending medium plasma freely takes part in the exchange processes with surrounding tissue. Governing equations for continuity and momentum have been solved in the two regions (capillary and tissue) for fluid transport in capillary and the tissue subject to boundary and matching conditions at the capillary-tissue interface. The tissue has been identified as porous matrix following Darcy's law. Results for velocity profiles, pressure distributions in the two regions, wall shear stress and fluid flux at the interface have been represented through graphs and discussed. It has been noted that the capillary-tissue fluid exchange plays an important role in oxygen and nutritional transport to the tissue cells. Analysis oxygen transport is being presented in the next paper.

7 illus, 23 ref

012088   Beauville A (laboratoire J.-A. Dieudonne, UMR 6621 du CNRS, Universite de Nice, Parc Volrose, F-06108 Nice cedex 2) : The action of SL₂ on abelian varieties. J Ramanujan Mathl Soc 2010, 25(3), 253-63.

19 ref

012087   Arora P;Tandan P N (Mathematics Dep, Invertis Group of Institutions, NH24, Near Transport Nagar, PO Rajau, Bereilly-243 123, Email: gopa11960@yahoo.co.uk) : Mathematical model for release kinetics of pulsatile drug delivery. Ultra Scient phys Sci 2009, 21(3), 683-90.

Controlled drug delivery systems have acquired a central stage In pharmaceutical research and development business. Through such systems spatial and or temporal releases of drugs are given to an organ in the body. In order to prevent peak-valley fluctuations, reduction in dose amount redosage frequency with patient comfort witout side effects. Certain pathological states demand release of drug release after a time lag instead of being released immediately. A second order kinetics model is presented for the pulsatile drug delivery kinetics to obtain a time lag between the administration of the drug and the release of the drug. This model is able to predict drug release kinetics and the fractional drug release at any time t and a high degree of positive correlation is obtained between the findings of this model and the experimental results.

11 illus, 16 ref

011093   Withers C S;Nadarajah S (Applied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand) : Joint cumulants of a linear process. Int J agric statist Sci 2010, 6(2), 343-7.

For the first time, authors give the joint cumulants of univariate and multivariate stationary linear processes.

7 ref

011092   Vishwakarma J P;Chaube V (Mathematics and Statistics Dep, D.D.U. Gorakhpur Univ, Gorakhpur-273 009) : Converging cylindrical detonation waves in a non-ideal gas. Indian J Theor Phys 2008, 56(2), 143-56.

The propagation of a converging cylindrical detonation wave in a uniform combustible gas obeying the simplified van der Waals equation of state is studied. The law of convergence is determined by the condition that the detonation wave is Chapman-Jouguet front. An expression for similarity exponent is determined in terms of the parameter of non-idealness of the gas b and the ratio of specific heats γ. It is shown that the value of similarity exponent n, the strength of the detonation front and the density just behind the front decrease with an increase in the value of the parameter of non-idealness of the gas b, but the front velocity, the fluid velocity and the pressure just behind the front increases slightly with an increase in b. The effects of an increase in the value of γ are similar to those of an increase in the value of b.

4 illus, 2 tables, 15 ref

011091   Tripathy P K;Pradhan S (Statistics Dep, Utkal Univ, Bhubaneswar-751 004, Email: suchipradhan@yahoo.com) : Integration of progressive payment and partial backordering with perishable products. Int J agric statist Sci 2010, 6(2), 637-52.

This study extend the concept of progressive pricing by integrating with "overselling with partial back ordering" option, within the framework of DCF (discounted-cash-flow) policy Under this strategy to sell a stock of perishable product two prices are offered to resellers Resellers are categorised as without and with interest paying ones. For setting the account, the model is developed under different circumstances depending on whether the credit period is less and greater than the cycle time. An EOQ model is applied to formulate and solve the problem. The advantage of this system is investigated through some numerical examples. We also study some structural properties of the optimal policies Our constructed policy bears out the fact that inventory backlogging with credit period lies between the inventory cycle and the length of the stock cycle when procurement cost is larger than the revenue cost, is beneficial from the organisational as well as economic point of view at getting maximum profit.

4 tables, 10 ref

011090   Tripathy P K;Mohanty A (Statistics Dep, Utkal Univ, Bhubaneswar-751 004) : Dynamics of adolescent fertility behaviour in India. Int J agric statist Sci 2010, 6(2), 377-86.

The adolescent fertility behaviour in India is scanty. In this paper an attempt is made to identify the possible risks of adolescent fertility behaviour among the Indian women in reference to their selected fertility behaviour. Data collected were analysed through Regression analysis to assess the fertility behaviour of adolescent girls of both rural and urban India. The logistic regression analysis shows that age at marriage, use of contraceptive and women's education affect the adolescent fertility most significantly. It was observed that a rise in age at marriage will bring about congenial social change by which the parents would be able to accommodate modern ideas by engaging their adolescent daughters in the school. In Indian society the contraceptive use for delaying subsequent births and preventing infection is a complicated issue for married girls. Women's education has a close association with fertility regulation and health seeking behaviour. The fertility pattern and contraceptive use among adolescents help us to understand the implications for adolescent reproductive health in a society. It also gives insight to the future fertility situation in the country. The study investigated the magnitude and state wise variation in adolescent fertility and pattern of motherhood in India and selected states.

1 illus, 1 tables, 14 ref

011089   Talawar A S;Sarvade R M (Statistics Dep, Karnatak Univ, Dharwad-580 003, Email: talwar-as@hotmail.com) : Waiting time distribution of birth for a preferred sex. Int J agric statist Sci 2010, 6(2), 365-9.

In the study, authors assume that the mean-waiting time to get birth of a preferred sex is greater than or equal to mean waiting time to get the first birth. The distribution of T is derived and its parameters are estimated using sample data.

2 tables, 4 ref

011088   Singh V P;Pajankar V D (Regional College of Education, NCERT Constitutent Unit, Bhubaneswar, Email: vdp1234@rediffmail.com) : Some regression-type chain estimators for population product based on two auxiliary variables indouble samplig scheme. Int J agric statist Sci 2010, 6(2), 505-16.

This paper proposes several regression-type chain estimators for estimating the product of two finite population means using two auxiliary variables in double sampling for SRSWOR scheme. Asymptotic properties of the constructed estimators have been studied and their performances are also examined under large sample approximations.

9 ref

011087   Singh S O;Meitei K K S (Statistics Dep, Manipur Univ, Manipur, Email: s_opedro@rediffmail.com) : Optimum value of var(χprop). Int J agric statist Sci 2010, 6(2), 471-7.

When the study variable follows a uniform distribution for obvious reasons the optimum strata boundaries consists of equidistant points over the range [a,b] of the study variable. This means that the strata widths are constant and so are the strata variances. As a result, get var(x_st)_prop = var(x_st)_Ney. This can be shown through the method of Khan et al. (2002).

3 ref

011086   Singh P K;Mishra J;Singh N;Singh N L (Mathematics Dep, T.D. Postgraduate College, Jaunpur-222 002) : Blood flow character in narrow capillaries. Indian J Theor Phys 2008, 56(3), 175-86.

The flow analysis of incompressible elastic sphere in a rigid tube of uniform radius is made. The effect of gap thickness on velocity field is discussed with the help of tables.

3 illus, 3 tables, 16 ref

011085   Sharma S C;Agrawal S (Statistics Dep, J.V. College, Baraut-250 611, Email: shin22@rediffmail.com) : Effectiveness analysis of a three unit cold standby system with common cause failure and preventive maintenance. Int J agric statist Sci 2010, 6(2), 677-87.

This paper investigates a complex redundant system having three units- one priority and two non-priority similar units. Initially the priority unit and a non-priority unit are operative and the other non-priority unit is kept as a cold standby. When the priority unit fails, standby non-priority unit takes operation so that both non-priority units are in operation. The preventive maintenance of these operative non-priority units is done. The units may also fail due to common cause. Various important measures of system effectiveness are obtained such as Mean Time to System Failure (MTSF), Availability, Busy Period, Expected number of visits and Expected Profit by using the technique of Regenerative Stochastic Process.

5 illus, 32 ref

011084   Sharma P;Awasthi J (Mathematics and Astronomy Dep, Lucknow Univ, Lucknow-226 007, Email: poonambaba@yahoo.com ) : Class of analytic functions with two fixed points. Bull Calcutta Mathl Soc 2009, 101(4), 367-74.

A class of functions of the form : f(z) = a₁z - Σa_nzⁿ; (a₁ <62> 0, a_n ≥ 0), normalized with (1 - λ)f(z₀)/z₀ + μf'(z₀) = 1; (-1 <60> 20 <60> 1,0 ≤ λ ≤ 1; z₀ ≠ 0) and satisfying Re {z(L(a,c)f(z)')/L(n,c)f(z)-α} <62> β {z(L(a,c)f(z))/L(a,c)f(z) -1}is consider. Coefficient inequality, distortion theorem, extreme points, integral representation and radii of starlikeness and convexity for this class are obtained.

7 ref

011083   Seth G S;Singh M K (Applied Mathematics Dep, Indian School of Mines, Dhanbad-826 004, Email: gsseth_ism@yahoo.com) : Combined free and forced convection MHD flow in a rotating channel with perfectly coducting walls. Indian J Theor Phys 2008, 56(3), 203-22.

Combined free and forced convection flow of a viscous incompressible electrically conducting fluid in a rotating channel with perfectly conducting walls under the action of a constant pressure gradient and of a uniform transverse magnetic field applied parallel to the axis of rotation is studied. The walls of the channel are heated or cooled by a constant temperature gradient. Heat transfer characteristics of the flow are considered taking viscous and Joule dissipations into account. Exact solution of the governing equations for the fully developed flow is obtained in closed form. The solution, in dimensionless form, for the velocity and induced magnetic field contains three pertinent flow parameters. Viz. M² (square of Hartmann number), K² (rotation parameter) and G (Grashof number). The expressions for the shear stress at both the plates due to primary and secondary flows, mass flow rates in both the directions and critical Grashof number at both the plates due to primary as well as secondary flows, temperature field, and rate of heat transfer at both the plates are obtained. Numerical solution of the velocity and induced magnetic field is depicted graphically for various values of M², K² and G. The numerical solution of temperature field is depicted graphically for various values of K² and G and presented in tabular form for different values of M². The numerical results of shear stress at the upper plate and rate of heat transfer at both the plates are presented in tables for various values of M², K² and G while that of mass flow rate and critical Grashof number at the upper plate are presented in tabular form for different values of M² and K².

8 illus, 7 tables, 24 ref

011082   Samanta S C;Maishal R K (NO, Midnapore College, Midnapore-721 101) : Magnetothermoelastic interaction in an infinite body with a cylindrical hole. Bull Calcutta Mathl Soc 2009, 101(4), 323-50.

The mechanical, thermal and magnetic fields are quantified in an infinite solid with a cylindrical hole. The medium is subjected to a uniform ambient magnetic field along the axis of the cylinder. The problem of field distributions is solved with different thermal and mechanical conditions on the cylindrical surface. The mechanical material behaviour is assumed to be linearly elastic but heat conduction through it is governed by the modified Fourier equation and electrically the medium a perfect conductor. The numerical calculations, with short time approximation, are presented for different loading conditions on the cylindrical surface of the hole.

10 illus, 8 tables, 18 ref

011081   Rohatgi P (School of Studies in Statistics, Pt. Ravishankar Shukla Univ, Raipur-492 010, Email: rohatgi.prabha@gmail.com) : Dynamic programming approach for economic screening. Int J agric statist Sci 2010, 6(2), 549-56.

Kao (1972) studied the problem concerning the economic screening of a continuously manufactured product through Linear Programming (LP) approach. In this paper, the same problem has been studied through Dynamic Programming (DP) approach. This procedure overcomes the difficulty of choosing a large sample size apart from resulting in greater economy. Computational technique for solving an n-stage dynamic programming problem is also a new contribution of this paper.

11 ref

011080   Reddy T R;Reddy P T (Mathematics Dep, Kakatiya Univ, Warangal, Andhra Pradesh-506 009, Email: ptreddysravi@yahoo.com) : Neighbourhoods of certain subclass of functions in Sp(α) with respect to symmetric points. Bull Calcutta Mathl Soc 2009, 101(4), 359-66.

The aim of this paper is to introduce the class S_PS (α) which is a subclass of functions in S_P(α) (-1 ≤ α <60> 1) with respect to symmetric points. Study neighbourhoods of this class and also prove a necessary and sufficient condition in terms of convolution for a function f to be in S_PS(α).

10 ref

011079   Reddy M K;Rao K R;Boiroju N K (Statistics Dep, Osmania Univ, Hyderabad-7, Email: nanibyrozu@gmail.com) : Comparison of ratio estimators using monte carlo simulation. Int J agric statist Sci 2010, 6(2), 517-27.

It this paper, some ratio estimators using one auxiliary variable, available in literature are reviewed and their efficiencies are compared by simulation for different distributions with known correlation coefficient. A new procedure is developed to generate samples from a bivariate population with known correlation coefficient. The ratio estimators are compared with respect to relative bias, standard error, skewness and kurtosis using Monte Carlo simulation by generating random samples from different bivariate populations with known correlation coefficients.

5 tabes, 11 ref

011078   Rajneesh Kumar;Singh M (Mathematics Dep, Kurukshetra Univ, kurukshetra-136 119, Email: rajneesh_kuk@rediffmail.com ) : Reflection and transmission of thermoelastic plane waves at an imperfect boundary. Bull Calcutta Mathl Soc 2009, 101(4), 419-36.

The problem of reflection and transmission of thermoelastic plane waves at, an imperfect interface between two generalized thermoelastic solid half-spaces of different elastic and thermal properties has been discussed. The generalized thermoelastic theory with two relaxation times developed by Green and Lindsay (1972) has been used to study the problem. The expressions for the reflection and transmission coefficients which are the ratios of the amplitudes of reflected and transmitted waves to the amplitude of incident waves are obtained for an imperfect boundary and deduced for normal stiffness, transverse stiffness, thermal contact conductance, slip and welded boundaries. The amplitude ratios of various reflected and transmitted waves are also deduced from the present investigation at the interface of two semi-infinite media (i) Elastic/Generalized Thermoelastic, (ii) Elastic/Elastic. The special case of stress free thermally insulated boundary has been discussed. It is found that the amplitude ratios of reflected and transmitted waves are affected by the stiffness and thermal properties of the media.

19 illus, 29 ref

011077   Park W (Mathematics Dep, Chonbuk National Univ, Chonju, Chonbuk Republic of Korea, Email: sunhull@naver.com) : Splitting field relating to turing machines. J Computnl Math optimiz 2010, 6(1), 23-35.

The concept of splitting field is somewhat important in the representation theory. Given an arbitrary field F, we ask if there exists an F-algebra A having F as its splitting field. This paper purports to solve such a problem.

6 ref