024811   Jung Y S;Park K H (Inst of Basic Sci, Seowon Univ, Cheongju, Chungbuk 361-742, Korea, Email: ysjung@seowon.ac.kr ) : BI-Additive maps of rings with left identity. Indian J pure appl Math 2005, 36(1), 35-44.

The R be a ring with left identity e and suitably-restricted additive torsion, Z its center, and H an additive subgroup of R containing e. Let G: R x R → R be a symmetric bi-additive mapping, and let g be the trace of G. The main purpose in the paper is to show that (i) if for each x ε R, <60> g(x),x <62>_n = <62><62> ... <60>g(x),x <62>),x<62>, ..., x<62> ε Z with n ≥ 1 fixed, then g is commuting on R; (ii) for each x ε H, either <60>g(x),x<62>_n = 0 or <60><60>g(x), x<62>_n, x^m<62> = 0 with n ≥ 0, m ≥ 1 fixed, then g = 0 on H, where <60>y,x<62> denotes the product yx+xy.

6 ref

024810   Jo J H;Lee J B (Res Inst of Basic Sci, Korea Univ, Seoul 136-701, Korea, Email: jhjo@sogang.ac.kr) : On the asphericity of certain 2- complexes. Indian J pure appl Math 2005, 36(1), 3-10.

Whitehead's asphericity question; viz., whether any subcomplex of an aspherical 2-complex is itself aspherical has been studied. Criteria tor certain 2-compiexes to he aspherical in terms of Euler characteristics have been obtained, and the results obtained by Varadarajan have been extended.

23 ref

024809   Guyot C;Kaveh K;Patankar V M (Kasten Chase Appl Res Orbitor Place 5100, Orbitor Drive Missisauga, Ontario L4W 4Z4, Canada) : Explicit algorithm for the arithmetic on the hyperelliptic Jacobians of genus 3. J Ramanujan Mathl Soc 2004, 19(2), 75-115.

Efficient formulae to double and add divisors on the Jacobian of a hyperelliptic curve of genus 3 has been investigated. The main contributions of the paper are as follows: (1) Overall improvements in the complexity of the addition and doubling algorithms for both even and odd characteristics, (2) Algorithms applicable to almost all hyperelliptic curves of genus 3, and (3) Efficient computation of the resultant of two polynomials and of the inverse of one polynomial modulo another. This paper is specifically written in an implementation-ready format.

3 illus, 37 ref

024808   Gupta S K;Ansari S H (Dep of Pharmaceutical Chem, Dr. K.N. Modi Inst of Pharmaceutical Educ and Res, Modinagar-201 201) : Review on Phytochemical and pharmacological aspects of Cichorium intybus Linn.. Asian J Chem 2005, 17(1), 33-6.

Cichorium intybus Linn. (Compositae) is an important medicinal plant which finds use in Ayurveda and Unani systems of medicine, especially in inflammations. It is useful in thirst, headache, ophthalmia, throat inflammation, enlargement of the spleen, fever, vomiting and diarrhoea etc. An attempt has been made to review the phytochemical and pharmacological work done on Cichorium intybus Linn.

^iia22 ref

024807   Gille P (Philippe Gille UMR 8628 du C.N.R.S. Mathematiques Batiment 425, Universite de Paris-Sud, F-91405 Orsay, France, Email: gille@math.u-psud.fr) : Type des tores maximaux des groupes semi-simples. J Ramanujan Mathl Soc 2004, 19(3), 213-30.

Let G/k be a semisimple algebraic group defined over a field k with separable closure k_s. Let T a maximal k-torus of G. The Galois action of the root system Φ (G_k, T_k) where provides an invariant-in-Galois cohomology, it is called the type of T in G. It has been show that all possible type occur for maximal tori of quasi-split semisimple groups.

14 ref

024806   Fisher B;Tas K (Dep of Math, Univ of Leicester, Leicester, LE1 7RH, England, Email: fbr@le.ac.uk) : On the composition of the distributions x<. Indian J pure appl Math 2005, 36(1), 11-22.

Let F be a distirbution and let f be a locally summable function. The distribution F{f) is defined as the neutrix limit of the sequence {F_n(f)}, where F_n(x) = F(x) * δ_n(x) and {δ_n(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta function δ(x). The distribution (x₊^μ)₊^-r and (|x|^μ)₊^-r are evaluated for μ <60> 0, r = 1, 2, ..., and kμ ≠ 1, 2, ... .

7 ref

024805   David C;Pappalardi F (Dep of Math and Statist, Concordia Univ 1455 de Maisonneuve, West Montreal, Quebec Canada H3G 1M8, Email: cdavid@mathstat.concordia.ca) : Average frobenius distribution for inserts n Q(i). J Ramanujan Mathl Soc 2004, 19(3), 181-201.

Given an integer r, the problem of enumerating the inert prime ideals p of Q(i)for which a given elliptic curve E has trace of Frobenius at p equal to r has been considered. It has been proved that on average the number of such prime ideals up to x is asymptotic to c_r log log x where c_r is an explicit constant computed in terms of an Euler product. This result is in accordance with the standard heuristics. The problem generalises naturally the classical Lang-Trotter conjecture for elliptic curves over Q.

22 ref

024804   Calvete H I;Gale C (Dpto. de Metodos Estadisticos, Universidad de Zaragoza, Pedro Cerbuna, 12, 50009 Zaragoza, Spain, Email: herminia@unizar.es) : Note on optimality conditions for linear fractional bilevel programs. Indian J pure appl Math 2005, 36(1), 23-34.

N. Malhotra and S. R. Arora presented in 1999 some results on necessary and sufficient optimality conditions for linear fractional bilevel programs based on the duality theory. This note shows that Malhotra and Arora's proofs contain a tlaw mat makes their conclusions invalid and provides alternative optimality conditions.

10 ref

023831   Yi X (NO, Xuzhou Normal University, Xuzhou-221 116 P.R. China) : On p-supersolubility of finite p-soluble groups. J appl Algebra Discrete Structs 2005, 3(2), 125-30.

A subgroup T of a group G is called a p-supersoluble supplement of a subgroup H in G if G = TH and T is p-supersoluble. It has been proved that a p-soluble group G is p-supersoluble if and only if every nonnormal cyclic subgroup of G of order p or of order 4 (for p = 2) has a p-supersoluble supplement in G.

11 ref

023830   Xiaoji L (Department of Mathematics, College of Computer and Information Science, Guangxi University for N, , Email: xiaojiliu72@yahoo.com.cn) : On minus and star partial ordering of EP matrices. J appl Algebra Discrete Structs 2005, 3(2), 117-24.

Hartwig and Styan considered the relation between the minus and star partial ordering of Hermitian matrices. In this note some relations between the minus and star partial ordering of the EP matrices are given.

7 ref

023829   Vijayaraju P;Marudai M (School of Mathematics, Anna University, Chennai-600 025) : Some results on common fixed points and best approximations. Indian J Math 2004, 46(2-3), 233-44.

In the setting of normed linear spaces results on common fixed points for nonlinear S-nonexpansive demicompact mappings are established one of which is an extension of results of Sahab and Khan and Dotson. As a consequence some applications of best approximations are established.

12 ref

023828   Udaya Chandrika K (NO, Avinashilingam Deemed Univ, Coimbatore-641 043) : Time dependent queueing system with repeated vacation. Res Highlight 2005, 15(3), 138-41.

Single channel, non-Markovian time dependent queueing system with correlated arrivals, departures and server/s vacation is considered. The Laplace transforms of the probability generating functions of the time dependent queue length distribution in the transient state, the probability generating function of the queue length distribution in the steady state and the expected queue length are derived.

2 ref

023827   Subramaniam R (NO, PSG College of Arts and Science, Coimbatore-641 014) : Sequential sampling technique for decision making in the management of internode borer, Chilo sacchariphagus indicus (K) in Sugarcane. J ent Res 2004, 28(3), 225-32.

Sequential sampling plan based on the negative binomial distribution (NBD) with common Kc=2.4615, action threshold of lower limit μ=4 internode borer per plant and upper limit μ=5 internode borer per plant and a risk factors α and β were set at 0.10 level was developed for using in the control of internode borer, Chilo sacchariphagus indicus (K) in sugarcane. In addition operating characteristic (OC) and average sample number (ASN) curves were studied for predicting the probable number of samples required for different population densities.

3 illus, 3 tables, 9 ref

023826   Stevic S (NO, Mathematical Institute of Serbian Academy of Science, Knez Mihailova 35/I, 11000 Beograd, Serbia, Email: sstevic@ptt.yu) : A note on the generalized Cesaro operator on Bergman spaces. Indian J Math 2004, 46(1), 129-36.

It has been shown that the adjoint operator of the generalized Cesaro operator is bounded on the weighted Bergman spaces B^p_{α if and only if α + 2 <60> p.}

17 ref

023825   Sen P (Department of Mathematics and Statstics, University of North Florida, U.S.A.) : Model selection for a chemical inhibition process. Calcutta Statist Ass Bull 2004, 55(217-218), 109-18.

The combined effects of the activities of different chemicals are of interest to many researchers. One chemical may promote or inhibit the effects of a second chemical. The behavior is attributed to the inhibition process and due to the chemical balance for different dose levels of the combining chemicals. Five mathematical models are tested. Using nonlinear least squares methods two sets of experimental data have been to all five models and the, model parameters have been estimated. The analysis of the results uses the Akaike's criterion (AIC) and its related techniques to select a best model. The coefficients of variation for the parameter estimates are also used in determining the model selection.

3 illus, 2 tables, 14 ref

023824   Rempulska L;Skorupka M;Walczak Z (Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, 60-965 Poznan, Poland, Email: mariolas@math.put.poznan.pl) : On some operators of Szasz-Mirakyan type*. Indian J Math 2004, 46(1), 111-28.

The degree of approximation of functions from exponential weighted space of functions of one and two variables by certain operators of the Szasz-Mirakyan type have been studied.

5 ref

023823   Prvanovic M;Pusic N (Institute of Mathematics, Faculty of Science, University of Novi sad, Trg D. Obradovica 4, 21000 Novi Sad, Serbia and Montenegro) : On Kaehler manifolds endowed with a kind of semi-symmetric F-connection. Indian J Math 2004, 46(2-3), 181-96.

The problem of some kinds of generalized semi-symmetric connections on elliptic and hyperbolic Kaehlerian manifolds has been dealt with. The all geometric differences between these two kinds of spaces can be seen.

5 ref

023822   Phaneendra T. (Department of Mathematics, Mahatma Gandhi Institute of Technology, Chaitanya Bharathi, P.O. Gandipet, Hyderabad-500 075) : Coincidence points of two weakly compatible, self-maps and common fixed point theorem through orbits. Indian J Math 2004, 46(2-3), 173-80.

Using the idea of an orbit relalive to two self-maps, some sufficient conditions have been obtained for a pair of self-maps to have coincidence points and proved two common fixed point theorems for a pair of self-maps which commute at their coincidence points, called weakly compatible maps. Eventually, the results extend the result of J. Danes and give an affirmative answer to the open questions posed by Sastry and Murthy.

8 ref

023821   Pattanayak S;Sahoo S (Institute of Mathematics and Applications, Pathani Samanta Planetarium, Planetarium square, Bhubaneswar-751 013) : Fractional derivative of random Fourier Stieltjes series. Indian J Math 2004, 46(1), 101-9.

If X (t, w) be a symmetric stable process of index α, 1 <60> α ≤ 2 and if f ε L^p[0, 2π], p ≥ α. it has been established that the series Σ a_nA_{n/(in)^β e^int, where an = 1/2π ∫^2π0 ƒ(t) e^-int dt and An = 1/2π ∫^2π0 e^-int dX (t) converges in probability to the stochastic integral 1/2∫^2π0 γβ (t-u))dX (u,w), where γβ is the fractional integral of order β of the function γ for 1/p <60> β <60> 1 + 1/p. Fractional derivative of the sum Σ^∞n=-∞ anAne^int of order β for an and An as defined above and 1/p <60> 1 - β <60> 1 + 1/p have been defined. A sufficient condition for existence of fractional derivative is then found out.}

4 ref

023820   Park S (National Academy of Sciences, Republic of Korea, School of Mathematica, Seoul National University, Seoul-151 747) : Multimaps having openness and the Birkhoff Kellogg theorems. Indian J Math 2004, 46(2-3), 223-32.

Based on a fixed point theorem for the multimap class β, results on homeomorphically convex sets on openness of multimaps and on the Birkhoff-Kellogg type theorems have been generatized or corrected.

14 ref

023819   Pal M;Dutta S S (NO, University of Calcutta, Kolkatta) : A sequential inventory model for items subject to random price fluctuations. Calcutta Statist Ass Bull 2004, 55(217-218), 57-67.

Inventory of commodities which show fluctuations in price over time have been considered. A sequential model with a finite number of periods of equal length has been considered and optimal policy for procurement in different periods is obtained assuming future prices and demands to be random variables with known or predictable density functions.

2 ref

023818   Nunez-Yepez H N;Lopez-Bonilla J L;Salas-Brito A L (NO, Universidad Autonoma Metropolitana-Iztapalapa, Departmento de Fisica, Email: nyhn@xanum.uam.mx) : New technique for evaluating ladder operators in the Coulomb problem. Indian J Math 2004, 46(2-3), 259-65.

It has been exhibited that to obtain the ladder operators for the non-relativistic quantum Coulomb problem it is enough to solve a rather simple linear system of first-order differential equations. The most general form for the operators compatible with problem has been assumed and then by applying the basic commutation relations they must comply with a differential equation system has been obtained; in this way the usual form of the Coulomb radial ladder operators has been obtained. The computations are explicitly done only for the creation operator since for the annihilation operator they are almost the same.

17 ref

023817   Natarajan P N (Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai-600 004) : More about (N,p_n) methods in non-archimedean fields. Indian J Math 2004, 46(1), 87-100.

K denotes a complete, non-trivially valued, non-Archimedean field. Infinite matrices and sequences have entries in K. Some results regarding the (N, pn) methods of summability or the weighted means in such a field K, introduced earlier by the author have been proved.

10 ref

023816   Nashine H K (Department of Mathematics, Raipur Institute of Technology, Mandir Hasaud, Chhatauna, Raipur-492 001) : Best approximation for compatible mappings in nonconvex set. Indian J Math 2004, 46(2-3), 245-58.

Some results on existence of best approximation are proved involving four mappings. A common fixed point theorem involving six mappings is proved in complete metric space which is used to prove yet another fixed point theorem for best approximation as well. The results are proved in consideration with any one map to continuous from all and without starshapedness condition of domain and linearity condition of mapping in setup of normed linear space. The results generalize the recent results of Imdad. Some known results are also generalized and improved. To achieve the set goal, a property known as Property (Γ) has been introduced.

16 ref

023815   Namdeo R K;Fisher B (Department of Mathematics, Dr. H.S. Gour University, Sagar-470 003) : Related fixed point theorems for two pairs of set valued mappings on two complete and compact metric spaces. Indian J Math 2004, 46(2-3), 161-71.

Two new related fixed point theorems for two pairs of set valued mappings on two complete and compact metric spaces are obtained.

4 ref

023814   Nam K B;Choi S H;Wang M O (Deprtment of Mathematics, University of Wisconsin-Whitewater, Whitewater, WI 53190, USA, Email: namk@uww.edu) : Weyl-type Non-associative algebras. J appl Algebra Discrete Structs 2005, 3(2), 91-100.

All the derivations of the non-associative algebra WN_0,0,13 have been found. All the derivations of the non-associative algebra WN_0,1,0r have found.

9 ref

023813   Nahtman T;Von Rosen D;Sinha B K (Institute of Mathematical Statistics, University of Tartu, ) : Aspects of estimating inter subject variability with a constant intra coefficient of variation in repeated measurements. Calcutta Statist Ass Bull 2004, 55(217-218), 15-27.

The one-way random effects model of Chow & Tse (1991) with homogeneous intra subject coefficient of variation has been studied and the problem of estimation of the basic parameters have been studied. Properties of the inter variability have been proposed and studied along the lines of Mathew, (1992). Properties of an appropriate Bayes estimator have been studied.

5 ref

023812   Nadarajah S;Masoom Ali M (Department of Statistics, University of Nebraska, U.S.A.) : On the product and ratio of t and logistic random variables. Calcutta Statist Ass Bull 2004, 55(217-218), 1-14.

The distributions of the product | XY | and the ratio | X/Y | are derived when X and Y are Student's and logistic random variables distributed independently of each other.

2 illus, 27 ref

023811   Nadarajah S;Ahsanullah M (Department of Statistics, University of Nebraska, U.S.A) : On the arc-sine record values. Calcutta Statist Ass Bull 2004, 55(217-218), 139-45.

Explicit algebraic expressions are derived for computing the means, variances and the covariances of the record values from the arc-sine distribution. The derivation uses a representation theorem due to Bairamov and Ahsanullah (2000).

12 ref

023810   Mukhopadhyay I;Chatterjee A;Maitra S K;Dey R (Department of Human Genetics, University of Pittsburgh, U.S.A.) : Histophysiological appraisal of ovarian activity in an Indian major carp in relation to climatological variables: A data based approach. Calcutta Statist Ass Bull 2004, 55(217-218), 69-90.

The reprodective events in an annual cycle in different vertebrates including fish are known to be regulated by exogenous and/or endogenous factors. Taking a cue from the environment that undergoes changes regularly and reliably around the year, most animals use them for prediction of seasonal changes and programme their gonadal development and breeding activities in an annual cycle. Information regarding the changes in external environment is transduced to gonads through the pineal organ, which synchronises the various biochemical, hormonal, physiological and behavioural rhythms of the body. However, existing knowledge on the role of environmental factors in the regulation of fish reproduction is mostly based on the data collected from temperate zones, and such information on any fish in the low and mid-latitudes is severely poignant. An attempt has been made to demonstrate month-wise variations in various histological and/or biochemical indices of activity of ovary and pineal complex in a hitherto unstudied free-living Indian major carp Catla catla and to draw possible relationship between the activities of these organs and different climatological variables. Various exploratory data analytic techniques have been used to give meaningful answers to some well posed problems.

8 illus, 2 tables, 21 ref

023809   Mitrovic Z D (Faculty of Electrical Engineering, University of Banja Luka, 51000 Banja Luka, Patre 5, Bosnia and Herzegovina, Email: zmitrovic@etfbl.net) : Simultaneous approximation for multivalued mappings. Indian J Math 2004, 46(1), 79-85.

Some results on simultaneous approximation for convex multivalued mappings are given. These results are generalizations of the Ky Fan best approximation theorem and a generalization of D. Delbosco results. Some results on coincidence points are also given.

7 ref

023808   Masoom Ali M;Woo J (Department of Mathematic Science, Ball State University, U.S.A.) : Bayesian analysis of mean parameter in a Pareto distribution. Calcutta Statist Ass Bull 2004, 55(217-218), 130-7.

Some Bayes estimators of mean parameter in a Pareto distribution under the square error, linex and another loss function for a non-informative and a gamma prior have been described. Bayes risks of Bayes estimators for mean parameter are compared numerically with each other. Also, Bayes confidence intervals of mean parameter in the Pareto distribution are numerically compared by help of Binary-Search Method for which computer-aided simulation is used.

3 tables, 8 ref

023807   Manjini R (NO, , No. 6, Bharathidasan Street, Muthirapalayam, Pondicherry-605-009) : Some classes of meromorphic functions with positive coefficients. Indian J Math 2004, 46(1), 63-78.

It Σ_p denotes the class of functions of the form f(z) = a_-1/z + Σ_m=1^∞ a_mz^m (a_m ≥ 0, a_-1 <62> 0) which are analytic in the annulus D = (z: 0<60><157>z<157><60>1} and Σ_p,1 and Σ_p,2 denote subclasses of Σ_p satisfying f(z₀)1/z₀ and f'(z₀) = -1/z²₀(-1<60>z₀<60>1, z₀ ≠ 0), respectively properties of some subclasses of Σ_p,1 and Σ_p,2 are investigated and sharp results are ohtained. Also a new charecterization for certain subclass of Σ_p is proved.

4 ref

023806   Manene M M;Simwa R O (Department of Mathematics, , P.O. Box 30197, Nairobi, Kenya) : The performance of one type step-wise group screening designs. Indian J Math 2004, 46(2-3), 303-21.

The performance of one type step-wise group screening designs in which group-factors contain equal number of factors in the initial step have been evaluated. One type step-wise group screening designs have been examined, without errors in observations, considering the possibility of cancellation of effects within group-factors. Expressions for the expected total number of runs and the expected number of active factors detected are obtained. The performance of one type step-wise group-screening designs is then compared with the performance of multistage group screening designs. Group screening designs have both biological and industrial applications.

3 tables, 9 ref

023805   Liu J L;Owa S (Department of Mathematics, Yangzhou University, Yangzhou-225 002, Jiangsu, People's Republic of China, Email: jlliu@yzu.edu.cn) : Some families of meromorphic multivalent functions involving certain linear operator. Indian J Math 2004, 46(1), 47-62.

For the class of functions Σ_p of the form f(z) = z ^-p + Σ^∞_k=0a_kZ^k (p ← N = {1,2,3,...}) which are analytic and p-valent in the punctured disc D = {z:0<60><157>z<157><60>l). Some new families of meromorphic multivalent functions defined by certain linear operator have been studied. A number of useful characteristics of functions in these families are obtained. In particular, some properties of neighborhoods of functions in these families are given.

22 ref

023804   Li X;Sinha B K;Messner M (Merck Research Laboratories, , Blue Bell, PA 19422, U.S.A.) : A statistical analysis of cryptosporidium in U.S. drinking water sources. Calcutta Statist Ass Bull 2004, 55(217-218), 91-107.

To support Regulatory Impact Analysis of the United States Environmental Protection Agency (EPA), there is a need to characterize the occurrence of Cryptosporidium in the nation's source waters. The information Collection Rule (ICR) and two supplemental surveys were desinged by EPA to provide such occurrence data. A Poisson hierarchical model in Bayesian scheme, which allows for several covariates, is applied to the data collected in the two supplemental surveys. An MCMC computing strategy has been applied. The results show that flowing streams have higher mean Cryptosporidium concentrations than large systems; the mean Cryptosporidium concentration does not change over time significantly; and the Cryptosporidium concentration is positively associated with sample turbidity.

8 illus, 4 tables, 6 ref

023803   Lanzhe L (Department of Mathematics, Changsha University of Science and Technology, Changsha-410 077 P.R. China, Email: lanzheliu@263.net) : A sharp estimate for multilinear Littlewood-Paley operator. Indian J Math 2004, 46(1), 35-46.

A sharp estimate for multilinear Littlewood-Paley operator has been established. As application, the weighted norm inequalities and L log L type estimate for the multilinear operator have been obtained.

11 ref

023802   Lahiri I (Department of Mathematics, University of Kalyani, West Bengal-741 235) : An analogue of the second main theorem of vector meromorphic functions for moving targets. Indian J Math 2004, 46(1), 27-33.

An analogue of the second main theorem with moving targets for vector meromorphic functions having few poles has been proved.

6 ref

023801   Kim Y G;Koh S H;Yoo H S;Won S Y (Department of Mathematics, Chonbuk National University, Chonju, Chonbuk 561 756, Korea, Email: yanggon@moak.chonbuk.ac.kr) : Existence of an improvable but true proposition. J appl Algebra Discrete Structs 2005, 3(2), 111-5.

True propositions which are, however, unprovable have been discussed. For this the well-known P versus NP problem, and its solution have been use of in [3]. It has been made claimed that there is a true but unprovable proposition as a main theorem.

6 ref

023800   Johnson T P (School of Engineering, Cochin University of Science and Technology, Kochi-682 022) : On lattices of L-topologies. Indian J Math 2004, 46(1), 21-6.

The lattice structure of the set of all L-topologies on a given set X has been studied. It is proved that the lattice of L-topologies is not complemented. Some other properties of the lattice S_{τ, L}, the set of all L-topologies defined by families of (completely) Scott continuous function on X are discussed.

11 ref

023799   Janakiram B;Soner N D;Chaluvaraju B (Department of Planning, (PFRD), M. S. Building, Banglore-560 001) : Maximal edge neighbourhood in graphs. Indian J Math 2004, 46(2-3), 283-91.

A set F ⊆ E of a graph G = (V, E) is a maximal edge neighbourhood set if E-F is not a edge neighbourhood set of G. The maximal edge neighbourhood n'_m (G) of G is the minimum cardinality of a maximal edge neighbourhood set of G. Some properties of this new parameter are developed.

13 ref

023798   He M;Long M (NO, Jiangyin Polytechnical College, Jiangyin-214 400, P.R. China, Email: js-ming@163.com) : Finite groups with some subgroups of Sylow subgroups S-normal. J appl Algebra Discrete Structs 2005, 3(2), 101-9.

A subgroup H is called s-normal in G, if there exists a subnormal subgroup K of G such that G = HK and H ∩ K is contained in H_SG, where H_SG is the largest subnormal subgroup of G contained in H. The structure of finite groups with some primary subgroups s-normal in G have been determined.

9 ref

023797   Gould H W (Department of Mathematics, West Virginia University, P.O. Box 6310, Morgantown, WV 26506-6310, Email: gould@math.wvu.edu) : Sums and convolved sums of catalan numbers and their generating functions. Indian J Math 2004, 46(2-3), 137-60.

4 tables, 6 ref

023796   Friggstad Z;Wismath S L (Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Ab, Canada T1K-3M4) : Minimal Characteristic Algebras for K-normality for Unary Types. J appl Algebra Discrete Structs 2005, 3(2), 65-89.

A property p of identities of a fixed type τ is said to be hereditary if for every set I of identities having the property p, every consequence of I (under the usual derivation rules for identities) also has the property. A characteristic algebra for such a hereditary property is an algebra A such that for any variety V of type ε, <65> ∈ V iff every identity satisfied by V has the property p. This is equivalent to <65> being a generator for the variety determined by all identities of type τ which have property p. Plonka has produced minimal (smallest cardinality) characteristic algebras for a number of hereditary properties, including regularity, normality, uniformity, biregularity, outermost, and external-compatibility. Denecke and Wismath defined a property of identities called K-normality, for natural numbers K ≥ 1, which-generalizes the usual concept of normality, and gave conditions under which it is a hereditary property. Christie, Wang and Wismath produced minimal characteristic algebras for K-normality, for K = 1,2,3,4 and type (2), using the depth valuation to give a hereditary property. Characteristic algebras for K-normality, for unary types have been studies. Minimal characteristic algebras for all K ≥ 1 for type (1), then some general properties of such algebras for type (1,1,..., l) have been described. These properties have been described to produce minimal characteristic algebras for type (1, 1), for 1 ≤ K ≤ 5.

7 illus, 12 ref

023795   Ekici E (Department of Mathematics, Canakkale Onsekiz Mart University, Terzioglu Campus 17020 Canakkale, Turkey, Email: eekici@comu.edu.tr) : On contra R-continuity and a weak form. Indian J Math 2004, 46(2-3), 267-81.

Two new classes of contra-continuity called contra R-continuity and (δ-semi, s)-continuity are introduced. (δ-semi, s)-continuity is strictly between contra R-continuity and weakly θ-irresoluteness. Moreover, (δ-semi, s)-continuity generalize perfectly continuity, s-continuity, almost s-continuity, regular set-connectedness and contra R-continuity.

30 ref

023794   Dutta G (Department of Statistics, University of Calcutta, Kolkatta) : Optimum choice of covariates in a BIBD set-up. Calcutta Statist Ass Bull 2004, 55(217-218), 39-55.

The problem of finding optimum designs for the estimation of covariate parameters and the treatment and block-contrasts in a block-treatment design set-up in the presence of non-stochastic covariates. The key reference to the work is Das et. al.(2003) and some extensions of their work have been considered. The situation wherein the block design setup admits existence of a balanced incomplete block design (BIBD) with parameters b, v, r, k, λ has been dealt with and it is further assumed that the BIBDs can be constructed by Bose's method of differences. Also some results for arbitrary BIBDs have been given.

9 ref

023793   Deka Baruah N;Saikia N (Department of Mathematical Sciences, Tezpur University, Napaam-784 028) : Some new explicit values of Ramanujan's continued fractions. Indian J Math 2004, 46(2-3), 197-222.

Some new and old eta-function identities involving eight arguments have been applied to find some new explicit values of Ramanujan's continued fractions and two parameters λ_n and μ_n connected with Ramanujan's cubic theory of elliptic functions.

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023792   Chaudhuri S;Chattopadhyay S (Department of Atmospheric Sciences, University of Calcutta, 92, A.P.C. Road, Email: sutapa_chaudhuri@hotmail.com) : Predictability of severe tropical cyclones over North Indian Ocean - Statistical exposition. Sci Cult 2004, 70(5-6), 195-7.

Attempt is made to discern the predictability of occurrence of Severe Tropical Cyclones (STC) over North Indian Ocean (Bay of Bengal & Arabian Sea). Statistical method is employed for the purpose. It is perceived from the present study that the prediction of occurrence of STC is possible, quite accurately, both over Bay of Bengal and Arabian Sea during the period from September to December but it is very difficult to predict the occurrence of STC over Bay of Bengal during the period from May to August. The result also reveals that turning of STC to storms with maximum sustained wind speed of 64 knots or more is very difficult to forecast.

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023791   Chaudhuri G (NO, Indian Institute of Management Kozhikode, Calicut) : A lower confidence limit for reliability of a coherent system with independent exponential components. Calcutta Statist Ass Bull 2004, 55(217-218), 119-27.

The problem of finding interval estimate for system reliability via the CHA algorithm following the Easterling approach has been solved. A coherent system composed of exponential components have been considered; the components are assumed to be statistically independent. A closed from expression for the standard error of the system reliability, for a given mission of duration, is obtained- The method of calculating the 100(1 - α)% lower confidence limit for the system reliability is illustrated for a simple series system with three independent exponential components. Both methods of simulation and numerical integration techniques are used for calculations. the results of Easterling has been extended to any coherent system.

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023790   Bhavanari, S;Kuncham S P;Pradeep V;Tumurukota K (Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522 510) : On IFP N-groups and Fuzzy IFP ideals. Indian J Math 2004, 46(1), 11-9.

The notions of IFP N-group and fuzzy IFP ideal, where N is a zero symmetric right near-ring have been introduced. For an IFP N-group G in which every monogenic N-subgroup has ACCI, it is proved that there exists an element g ∈ G such that (0: g) is a prime ideal of N. Some consequences have been obtained and related examples. A result on IFP M_n-group M_n(N), where M_n(N) is the matrix near-ring has been obtained. Some interesting results on fuzzy IFP ideals in near-rings were also proved.

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