002981   Gupta R;Varshney G (NO, Ch. Charan Singh University, Meerut, Uttar Pradesh) : Two non-identical unit parallel system with geometric failure and repair time distributions. IAPQR Trans 2006, 31(2), 127-30.

Deals with the cost-benefit analysis of a two non-identical unit parallel system. Both the units function independently. The failure and repair times of each unit are also taken as independent random variables of district nature having the geometric distribution with different parameters. The results are analysed graphically.

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002980   Gopalan M A;Devibala S (NO, National College, Trichy-620 001) : Identities on triangular numbers. Appl Sci Period 2006, 8(2), 123-5.

Three parametric solutions of two identities of interest relating to Triangular numbers have been presented.

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002979   Datta S K (Mathematics Dep, University of North Bengal, P.O. Raja Rammohunpur District, Darjeeling-734 013) : Maximum term of composite entire functions. Bull Calcutta Mathl Soc 2007, 99(3), 243-50.

Compares the maximum term of composition of two entire functions with their corresponding left and right factors.

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002978   Arumugham R;Thirusangu K;David N G;Thomas D G (Mathematics Dep, S.I.V.E.T. College, Gowrivakkam, Chennai-601 302) : Reachability graphs of Petri nets and graph grammars. Far East J mathl Sci 2006, 23(2), 193-200.

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002977   Aich A B (NO, Presidency College, Calcutta, West Bengal) : Note on the loss of information due to censoring - the Weibull case. IAPQR Trans 2006, 31(2), 157-61.

Concerned with the loss of information that arises due to Type I censoring while discriminating between two Weibull populations. The discrepancy criterion used is due to Kullback and Leibler. An expression for the loss of information is derived.

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002103   Zeng C;Yuan D (Mathematics Dep, Hanshan Teacher' Coll, Chaozhou, Guangdong 521 041, China, Email: ydhlxl@sohu.com ) : Hausdorff measure of m non-uniform cantor set. Far East J mathl Sci 2006, 22(2), (NULL).

Considers problem of In non-uniform Cantor set C^m, which is generated by the following line iterated system (LIS): S_i(X) = a_ix + b_i, x ε [0,1], i = 1, 2, ..., m and obtained the equivalent condition of the Hausdorff measure H^s(C^m

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002102   Yunlan Pan (Mathematics Dep, Zhejiang Normal Univ, Jinhua, Zhejiang-321 004, Email: yunlanp@zjnu.cn) : Convergence of newton's method for a type of overdetermined systems. Far East J mathl Sci 0000, 22(2), 249-62.

The convergence properties of Newton's method for a type of overdetermined systems of equations are studied. This type of systems are of constant rank Frechet derivatives which satishy Luipschitz condition. It is shown that the convergence of nowton's sequence to the zeros of such systems is quadratic and the convergence to the least square solutions is linear.

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002101   Yadav R N;Rajput S S;Bhardwaj R (NO, Recourse Development Centre, R.R.L. Bhopal (M.P.)) : Some fixed point theorems for extension of banach contraction principle. Acta Cienc Indica-Math 2007, 33(2), 461-6.

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002100   Yadav R N;Rajput S S;Bhardwaj R (NO, Recourse Development Centre, R.R.L. Bhopal) : Some fixed point theorem and common fixed point theorems in banach spaces. Acta Cienc Indica-Math 2007, 33(2), 453-60.

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002099   Yadav R B S;Sinha A K;Mithilesh Kumar (Maths Dep, Magadh Univ, Bodh Gaya) : Exact static solution of Einstein's field equations with P = p. Acta Cienc Indica-Math 2007, 33(2), 185-1.

Represents the solution of Einstein's field equations using the equation of state p = p.

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002098   Yadav D K (Applied Mathematics Dep, HRM Institute of Technology & Management, Hamidpur, Delhi-36) : "Aanuruppen-binomial method" to find the nth power of integers and rational numbers in terminating decimal forms. Acta Cienc Indica-Math 2007, 33(2), 647-55.

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002097   Xiaoji L;Shiguang Z (NO, Coll of Comput and Infor Sci, Guangxi univ for Nationalities, Nanning, 530 006, P.R. China, Email: xiaojiliu72@yahoo.com.cn) : Γ-inverses of matrices and solutions of linear equations. Far East J mathl Sci 2006, 22(2), 193-204.

Solutions of the system of linear equations APx = bare obtained by the use of Γ-inverse, weighted Γ-inverse of a matrix, where A ε C^mxn, P ε C^nxm, b ε C^m.

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002096   Suvarna K;Subba Reddy J (Mathematics Dep, Sri Krishna Devaraya Univ, Anantapur-515 003) : Generalization of (1, 1) rings. Acta Cienc Indica-Math 2007, 33(2), 429-31.

Author proved that if R is a 2-divisible simple ring satisfying the identities (x, y, z) = (x, z, y) and (w, (y, x, x), z) = 0, then R is right alternative.

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002095   Suvarna K;Subba Reddy C J (Mathematics Dep, Sri Krishna Devaraya Univ, Anantapur-515 003) : Prime right alternative rings with (XY)Z=(XZ)Y. Acta Cienc Indica-Math 2007, 33(2), 363-4.

Proves that a prime right alternative ring satisfying (xy)z = (xz)y, is either associative or a Lie-ring.

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002094   Suvarna K;Maheswara Rao V (Mathematics Dep, Sri Krishnadevaraya Univ, Anantapur-515 003) : Simple rings satisfying (x, y, z) = (x, z, y). Acta Cienc Indica-Math 2007, 33(2), 467-70.

In this paper author proved that a simple non associative ring of characteristic <35>=2, 3, 5 which satisfies the identities (x, y, z) = (x, z, y) and (w, (x, z), y) = 0 is a derivation alternator ring.

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002093   Sundaram M;Ponraj R;Somasundaram S (Mathematics Dep, Sri Paramakalyani College, Alwarkurichi-627 412) : Note of prime labeling of ladders. Acta Cienc Indica-Math 2007, 33(2), 471-7.

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002092   Sudo T (Mathematics Sci Dep, Univ of the Ryukyus, Nishihara, Okinawa-903-0213, Japan, Email: sudo@math.u-ryukyu.ac.jp) : Continuous fields of Cuntz algebras. Far East J mathl Sci 2006, 22(2), 213-16.

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002091   Srinivasan A;Prakash Rani K;Udaya Chandrika K (Mathematics PG & Research Dep, Bishop Heber College, Tiruchirappalli (T.N.)) : Retrial queueing system with two-phase service and vacation. Acta Cienc Indica-Math 2007, 33(2), 365-70.

A single server retrial queue with additional phase of service and Bernoulli vacation schedules is considered. The steady state distributions of the server state, the number of customers in the system, the number of customers in the orbit are obtained along with other performance measures.

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002090   Srinivasan A;Bhuvaneshwari S (Mathematics Dep, Bishop Heber College (Autonomous), Tiruchirappalli-17) : Mean time to recruitment for a single graded manpower system using a bivariate policy of recruitment when the threshold distribution is discrete. Acta Cienc Indica-Math 2007, 33(2), 291-4.

In this paper a single graded marketing organization which is subjected to loss of man power due to its policy decisions, is considered and the mean time to recruitment associated with a bivariate policy of recruitment is obtained using shock model approach when the threshold is a discrete random variable. The analytical results are numerically illustrated by assuming specific distributions.

002089   Srinivasan A;Bhuvaneshwari S (Mathematics Dep, Bishop Heber College (Autonomous), Tiruchirappalli-17 (T.N.)) : Mean time to recruitment for a single grade manpower system using a bivariate policy of recruitment when the threshold distribution is continuous. Acta Cienc Indica-Math 2007, 33(2), 287-90.

A single graded marketing organization which is subjected to loss of man power due to its policy decisions, is considered and the mean time to recruitment associated with a bivariate policy of recruitment when the threshold is a continuous random variable is obtained using shock model approach. The analytical results are numerically illustrated by assuming specific distributions.

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002088   Srinivasan A;Bhuvaneshwari S (Mathematics Dep, Bishop Heber College (Autonomous), Tiruchirappalli-17 (T.N.)) : Mean time to recruitment for a single graded man power system with a constant threshold using a bivariate policy of recruitment. Acta Cienc Indica-Math 2007, 33(2), 283-6.

In this paper a single graded marketing organisation which is subjected to loss of man power due to its policy decisions, is considered and the mean time to recruitment for constant thresholds is obtained using shock model approach. The analytical results are numerically illustrated by assuming specific distributions.

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002087   Singh A K;Kumar S;Tyagi D (Mathematics Dep, H.N.B. Garhwal Univ, Campus Badshahi-Thaul, Tehri, Garhwal-249 199) : On infinitesimal holomorphically projective transformations in complex spaces. Acta Cienc Indica-Math 2007, 33(2), 209-17.

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002086   Singh A K;Gupta U C (Mathematics Dep, H.N.B. Garhwal Univ, Campus, Badshahithaul, Tehri Garhwal) : Theory of lie-derivatives and motions in sasakian spaces. Acta Cienc Indica-Math 2007, 33(2), 419-24.

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002085   Shukla P K;Saxeana A (NO, K. G. K. College, Moradabad) : (q, a) - analogue of some identities. Acta Cienc Indica-Math 2007, 33(2), 667-76.

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002084   Shobha Latha G;Suresh K (Mathematics Dep, Sri Krishnadevaraya Univ, Anantapur-515 003) : Determination of shortest path problems over ordered semi modules. Acta Cienc Indica-Math 2007, 33(2), 413-17.

The theory of semirings and semimodules find wide applications in optimization problems such as path problems, Eigen value problems etc. It is observed that the shortest path problems find solution in the linearly ordered semimodules over real numbers.

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002083   Shen Z;Zheng H L;Sun D S (Mathematics School, Liaoning Normal University, Dalian 116029, P.R. China, Email: szw1229@163.com) : RBF networks based on structural risk function. Far East J mathl Sci 2006, 22(1), 17-24.

Support vector machines, based on statistical learning theory, are a kind of novel machine learning algorithm. Due to their outstanding learning performance, support vector machines have become a hot spot for research in the field of international machine learning, and have been developed for solving classification and regression problems. Applyes the structural risk function to radial basis function (RBF) networks, and discuss the relationship between support vector regression model and RBF networks. Simulation experiments reveal that this algorithm can improve the generalization ability of RBF networks.

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002082   Sharma P R;Sharma A (Mathematics Dep, Rajasthan Univ, Jaipur-302 004) : Comparison on simulated results of inventory model having demands from different probability distributions. Acta Cienc Indica-Math 2007, 33(2), 593-603.

In the daily life, a small retailer can estimate roughly the demands of the customers and can make decisions for placing the orders accordingly. But as the size of the departmental store grows, stocking depends upon various factors. Hence it becomes essential to have a strong inventory control policy to deal with these factors. Every businessman uses inventory control policy to ensure smooth and efficient running of its operations. Many companies fail each year due to the lack of adequate control of their inventory. In this paper, an inventory model is considered which simulates an abstract model of departmental store. Aim of the paper is to compare the results for various parameters obtained by taking demands from uniform and Poisson distributions.

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002081   Sharma D P (NO, Birla Institute of Technology and Science, Pilani-333 031) : Resource sharing and coevolution in evolving-cellular automata with special reference to performance upgrading. Acta Cienc Indica-Math 2007, 33(2), 311-19.

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002080   Shankar P N (National Aerospace Laboratories, , Bangalore-560 017, Email: pn_shankar55@rediffmail.com) : Embedding method for linear partial differential equations in unbounded and multiply connected domains. Proc Indian Acad Sci-Mathl Sci 2006, 116(3), 361-71.

Embedding method to solve linear boundary value problems is here extended to cover situations where the domain of interest is unbounded or multiply connected. The extensions involve the use of complete sets of exterior and interior eigenfunctions on canonical domains. Applications to typical boundary value problems for Laplace's equation, the Oseen equations and the biharmonic equation are given as examples.

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002079   Schmid W A (NO, Institut fur Mathematik Karl-Franzens-Universitat, Heinrichstrasse 36 8010 Graz, Austria, Email: waschmid@aon.at) : Half-factorial sets in elementary p-groups. Far East J mathl Sci 2006, 22(1), 75-114.

Let G be an abelian group. Then a subset G₀ of G is called half-factorial, if the block monoid over G₀ is a half-factorial mouoid, Investigated half-factorial sets in elementary p-groups. In particular, and dedtermine the half-fractorial subsets of elementry 3,- 5- and 7-groups. Also investigates minimal non-half-factorial sets in elementary p-groups.

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002078   Sarkar N G (Mathematics Dep, Maulana Azad College, 8, Rafi Ahmed Kedwai Road, Kolkata-700 013) : Stochastic model of a population growth with periodically varying parameters. Acta Cienc Indica-Math 2007, 33(2), 377-84.

The paper deals with the study of the stochastic behaviour of a population obeying Gompertzian growth equation with both periodic growth coefficient and periodic carrying capacity under the influence of randomly fluctuating environment.

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002077   Rawat K S;Dobhal G (Applied Mathematics Dep, H.N.B. Garhwal Univ Campus Badshahi Thaul, Tehri Garhwal-249 199) : Some properties in a kaehlerian space. Acta Cienc Indica-Math 2007, 33(2), 487-91.

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002076   Rathod V P;Ahmed H (Studies and Research in Mathematics Dep, Gulbarga Univ, Gulbarga-585 106) : Pulsatile two layered flow with periodic body acceleration. Acta Cienc Indica-Math 2007, 33(2), 347-58.

An interesting mathematical model has been formulated to study the pulsatile two-layer blood flow with periodic body acceleration. The effect of periodic body acceleration on the blood flowing through, a uniform cylindrical tube has been analyzed. Blood is considered as a couple stress fluid. Analytic expressions for axial velocity, core region, peripheral layer and flow rate have been obtained by applying finite Hankel and Laplace transforms technique. The velocity for different parameters have been discussed and presented in the form of graphs. The result has been compared with existing theoretical models and is found in good agreement with the other results.

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002075   Rathie A K;Kim Y S;Lee S W (Mathematics Dep, Govt Coll Sujangarh, Churu, Rajasthan State, Email: akrathie@rediffmail.com) : Short proof of a new hypergeometric generating relation due to exton. Far East J mathl Sci 2006, 22(1), 69-73.

An interesting hypergeometric generating relation obtained by Exton [J. Indian Acad. Math. 21 (1999), 53-57] is derived by a short method which is induced from a simple consequence of the binomial theorem.

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002074   Rastogi S C (NO, Sri Ramswaroop Memorial College of Engineering and Management, Tewariganj, Faizabad Raod, Lucknow-227 105) : UV-BI-recurrent and semi-current riemannian spaces. Acta Cienc Indica-Math 2007, 33(2), 239-45.

UV-recurrent spaces were defined and studied by the author. Defined UV-bi-recurrent and UV-semi-recurrent Riemannian spaces and studied their properties.

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002073   Ramaraj T;Kannappa N (Mathematics Dep, A.V.V.M. Sri Pushpam College, (Autonomous), Poondi, Thanjavur-Dt. (Tamil Nadu)) : On some characterizations of smarandache-near-rings by quasi-ideals. Acta Cienc Indica-Math 2007, 33(2), 335-8.

Smarandache-2-algebraic structure of near-ring, called, Smarandache-near-ring through Quasi-ideals and obtained some equivalent conditions of Smarandache-near-rings by Quasi-ideals.

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002072   Ramaraj T;Jayakumar P (Applied Mathematics Dep, A.V.V.M. Sri Pushpam College, (Autonomous)) : On the system of double equation b - T = x<. Acta Cienc Indica-Math 2007, 33(2), 481-5.

The system of double equations given by b-T = x²,b/N-T = y², N <35> a square is analysed for its nontrivial integral solutions. A few interesting properties are also presented.

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002071   Raj Bahadur;Pundir R;Pundir S K (NO, S.D. (P.G.) College, Muzaffar Nagar) : Hydromagnetic instability of stratified visco-elastic walter's (model B' dusty fluid in porous medium. Acta Cienc Indica-Math 2007, 33(2), 195-202.

The stability of stratified visco-elastic Walter's (Model B') dusty fluid in a porous medium in the presence of magnetic field has been investigated. Important results obtained in this paper include the instability of non-oscillatory modes, and the stability of oscillatory modes. It is also found that system is stable for β<60>0 and unstable for β<62>0 under certain conditions.

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002070   Pawar M;Panday V D (Mathematics Dep, R.V. Institute of Higher Education & Technology, Noida) : Generalizations of convexity and non smootheness functions. Acta Cienc Indica-Math 2007, 33(2), 371-6.

In this paper author introduced Classes of Generalized Convex function using Clarke generalized gradient. Also defined the Class of δ^c-pseudoconvex, δ^c-quasiconvex functions, which can throught of as non smooth generalizations of the Usual notions of pseduoconvex functions and quasiconvex function for differentiate functions.

002069   Pawar D D;Bhaware W;Deshmukh A G (Mathematics Dep, Govt. Vidarbha Institute of Science and Humanities, Amravati-444 604) : Coordinate system in which gα=O, for the plane gravitational waves. Acta Cienc Indica-Math 2007, 33(2), 385-8.

Coordinate system in which g_ao = 0; a = 1, 2 ; α= 3, 4, 5, 6 for the plane gravitational waves has been obtained.

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002068   Patel T;Mehta M N (Mathematics Section ASH Dep, S.V. National Institute of Technology, Surat-395 007) : Simulation of an approximate solution of seepage of groundwater in porous media on sloping bedrock. Acta Cienc Indica-Math 2007, 33(2), 445-51.

Present paper discusses an approximate solution of the seepage of ground water in porous media on sloping bedrock. Simulation of the approximate solution of seepage of groundwater in porous media on sloping bedrock has been obtained by computer programming and its graphical presentation is also given.

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002067   Pandey S K (Mathematics Dep, Govt. Vivekanand College Maihar, Distt. Satna) : Measurable selector theorem in separable reflexive banach space. Acta Cienc Indica-Math 2007, 33(2), 589-2.

In this research paper author attempt to establish a measurable selector theorem in Banach space having domain compact subset of paracompact topological space, co-domain is separable reflexive Banach space.

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002066   Palaniappan N;Arjunan K;Veeramani V (NO, Alagappa Univ, Karaikudi-630 003) : Homomorphism and anti-homomorphism of intuitionistic fuzzy normal subrings. Acta Cienc Indica-Math 2007, 33(2), 219-24.

Attempt has been made to study the algebraic nature of intuitionistic fuzzy normal subrings under homomorphism and anti-homomorphism.

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002065   Palaniappan N;Arjunan K (Mathematics Dep, Alagappa Univ, Karaikudi-630 003) : Some properties of intuitionistic fuzzy subgroups. Acta Cienc Indica-Math 2007, 33(2), 321-8.

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002064   Ozkurt A;Donmez D (Mathematics Dep, Cukurova Univ, 01330-Adana, Turkey, Email: aozkurt@mail.cu.edu.tr) : Pro-torus actions on poincare duality spaces. Proc Indian Acad Sci-Mathl Sci 2006, 116(3), 293-8.

In this paper, it is shown that some of the results of torus actions on Poincare duality spaces, Borel's dimension formula and topological splitting principle to local weights hold if 'torus' is replaced by 'pro-torus'.

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002063   Ningguo Z;Yuming C (Mathematics Dep, Hyzhou Vocational Technology College, Huzhou, 313000, P. R. China, Email: yczng@hutvu.com) : Estimation of Morti's constant in the theory of plane quasiconformal mappings. Far East J mathl Sci 2006, 22(1), 129-36.

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002062   Natarajan R;Vimala J (Mathematics Dep, Alagappa Univ, Karaikudi-630 003) : Standard l-ideal in commutative lattice ordered group. Acta Cienc Indica-Math 2007, 33(2), 539-52.

The concept of standard ideal, dually standard ideal in a lattice has been introduced and studied by Gratzer, G. and Schmidt, E.T. In this paper, authors introduced standard l-ideal, dually standard l-ideal in a commutative l -group G and established the characterization theorems and the relation between them.

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002061   Natarajan R;Vimala J (Mathematics Dep, Alagappa Univ, Karaikudi-630 003) : Distributive l-deal in commutative lattice ordered group. Acta Cienc Indica-Math 2007, 33(2), 517-26.

The concept of distributive ideal, dually distributive ideal in a lattice has been introduced and studied by Gratzer, G and Schmidt E.T. Author also introduced distributive l'-ideal, dually distributive l-ideal in a commutative l-group G and established the characterization theorems and the relation between them.

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002060   Narang G;Agarwal A K (Centre for Advanced Studies in Mathematics, Panjab Univ, Chandigarh-160 014, Email: geetika2narang@yahoo.com) : n-colour self-inverse compositions. Proc Indian Acad Sci-Mathl Sci 2006, 116(3), 257-66.

MacMahon's definition of self-inverse composition is extended to n-colour self-inverse composition. This introduces four new sequences which satisfy the same recurrence relation with different initial conditions like the famous Fibonacci and Lucas sequences. For these new sequences explicit formulas, recurrence relations, generating functions and a summation formula are obtained. Two new binomial identities with combinatorial meaning are also given.

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002059   Nagoor Gani A;Edward Samuel A (P.G. & Research Mathematics Dep, Jamal Mohamed College (Autonomous), Trichy-20) : Basic solution in fuzzy environment. Acta Cienc Indica-Math 2007, 33(2), 329-34.

In solutions to the fully fuzzified linear system of equations has been found where all the parameters and variables are fuzzy numbers. Author also found all possible basic feasible solution, and verification of degeneracy.

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