008492   Nithyanantha Jothi S;Thangavelu P (Mathematics Dep, Aditanar College, Tiruchendur-628 216, Email: nithananthajothi@gmail.com) : Generalized binary closed sets in binary topologial spaces. Ultra Scient phys Sci-Sect A 2014, 26(1), 25-30.

Recently the authors introduced the concept of binary topology between two sets and investigate its basic properties where a binary topology from X to Y is a binary structure satisfying certain axioms that are analogous to the axioms of topology. In this paper we introduce and study generalized binary closed sets and generalized binary open sets that are analogous to the generalized closed sets and generalized open sets in point set topology.

5 ref

008491   Neela D (Mathematics Dep, Vellore Institute of Technology-Chennai Campus, Vandalur-Kelambakkam Rd, Chennai-600 127, Email: neela1971@rediffmail.com) : Optimal scheduling problem of a single elevator system for N floors via hybrid workflow net. Int J appl mathl Analysis Applic 2013, 8(2), 123-31.

Optimal scheduling problem of the single elevator system for N floors is modeled via hybrid workflow net. Our aim is to minimize the user's time by choosing the optimal path through logical sequencing method. Here verefication is done using Automata. The approach used here is different. We have divided the system into different classes, modeled via Petri nets and the behavior is modeled via automation. We have obtained a optimal solution through a Petri net based approach.

3 illus, 2 tables, 31 ref

008490   Meena K;Manimekalai M (NO, Shrimati Indira Gandhi College, Trichy, Tamil Nadu) : Prediction of protein and aminoacid contents in seeds of food legumes using fuzzy k - nearest neighbor algorithm. Int Rev Fuzzy Math 2014, 9(1-2), 79-89.

Relationship between Protein Amino Acid sequence and Secondary Structure is complex, reflecting the intricate Thermodynamic and Kinetic of protein folding. The accuracy to protein secondary structure prediction has been improving steadily towards the 88% estimated theoretical limit. There are two types of Prediction algorithms: Single - sequence prediction algorithm imply that information about other (homologous) proteins is not available, while algorithms of the second type imply that information about homologous proteins is available, and use it intensively. The single sequence algorithms could make an important contribution to studies of proteins with no detected homologs, however the accuracy of protein secondary structure prediction from a single - sequence is not as high as when the additional evolutionary information is present. Food legumes are considered as the major source of dietary proteins among the plant species. In this paper a new approach for predicting the secondary structure of Proteins of soy beans using fuzzy K-nearest Neighbor algorithm has been proposed and it has been compared with Artificial Neural Network method (Backpropagation algorithm).

4 illus, 2 tables, 5 ref

008489   Marzuki C C;Salman A N M;Miller M (Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung, Indonesia, Email: corrazon_m@yahoo.co.id) : On the total irregularity strength of cycles and paths. Far East J mathl Sci 2013, 82(1), 1-21.

Vertex irregular total labeling and the edge irregular total labeling were introduced by Baca et al. in [5]. Combining both of these notions, in this paper, we introduce a new irregular total labeling, called 'totally irregular total labeling' which is required to be both vertex and edge irregular. Let G = (V, E) be a graph. A function f : V ∪ E → {1, 2, ..., k} of a graph G is a totally irregular total k-labeling if for any two different vertices x and y of G, their weights wt(x) and wt(y) are distinct and for any two different edges x₁x₂ and y₁y₂ of G, their weights wt(x₁x₂) and Wt(y₁y₂) are distinct, where the weight wt(x) of a vertex x is the sum of the label of x and the labels of all edges incident with x, and the weight wt(x₁x₂) of an edge x₁x₂ is the sum of the label of edge x₁x₂ and the labels of vertices x₁ and x₂. The minimum k for which a graph G has a totally irregular total k-labeling is called the total irregularity strength of G, denoted by ts(G). In this paper, we provide an upper bound and a lower bound of the total irregularity strength of a graph. Besides that, we determine the total irregularity strength of cycles and paths.

19 ref

008488   Mangku I W;Budiarti R;Taslim;Casman (Mathematics Dep, Bogor Agricultural Univ, Jl. Meranti, Kampus IPB Darmaga Bogor 16680, Indonesia, Email: wayan.mangku@gmail.com) : Estimating the intensity obtained as the product of a periodic function with the quadratic trend of a non-homogeneous poisson process. Far East J mathl Sci 2013, 82(1), 33-44.

Kernel-type nonparametric estimator of the intensity obtained as the product of a periodic function with the quadratic trend of a non-homogeneous Poisson process is constructed and investigated. It is considered the case when there is only a single realization of the Poisson process is observed in a bounded interval. The proposed estimator is proved to be weakly and strongly consistent when the size of the interval indefinitely expands. The asymptotic bias, variance, and the mean-squared error of the proposed estimator are also computed.

5 ref

008487   Manchanda P;Sharma V (Mathematics Dep, Guru Nanak Dev Univ, Amritsar-143 005, Email: pmanch2k1@yahoo.co.in) : Construction of vector valued wavelet packets on R₊ using walsh-fourier transform. Indian J pure appl Math 2014, 45(4), 539-53.

In this paper, the concept of vector-valued wavelet packets in space L^{2(R₊, CN is introduced. Some properties of vector-valued wavelets packets are studied and orthogonality formulas of these wavelets packets are obtained. New orthonormal basis of L2(IR₊, CN) is obtained by constructing a series of subspaces of vector-valued wavelet packets.}

15 ref

008486   Liu X (School of Science, East China Jiaotong Univ, Nanchang 330013, China, Email: liuxifu211@hotmail.com) : On hermitian generalized inverses and positive semidefinite generalized inverses. Indian J pure appl Math 2014, 45(4), 443-59.

The main aim of this paper is to investigate the Hermitian and positive semidefinite generalized inverses of a square matrix. First, we present some conditions for the existence of Hermitian and positive semidefinite generalized inverses. Further, expressions of these generalized inverses are given. Finally, we give two numerical examples to demonstrate our results our results.

11 ref

008485   Kulli V R (Mathematics Dep, Gulbarga Univ, Gulbarga-585 106, Email: vrkulli@gmail.com) : (2, 2)-total domination in graphs. Ultra Scient phys Sci-Sect A 2014, 26(1), 15-18.

A set S of vertices in a graph G=( V, E) is a (2,2)-total dominating set of G if every vertex in V is adjacent to at least 2 vertices in S and at least 2 vertices in V - S. The minimum cardinality of a (2, 2)-total dominating set is called the (2, 2)-total domination number of G and is denoted by γ_t2,2 (G). In this paper, we initiate a study of (2, 2)-total domination in graphs. Some bounds on γ_t2,2(G) are found and its exact values for some standard graphs are obtained.

8 ref

008484   Krishnamoorthy A;Sreenivasan C (NO, , Mathematics Dep, Cochin Univ of Science and Technology) : M/M/2 queueing system with heterogeneous servers including one vacationing server. Calcutta Statist Ass Bull 2012, 64(253-4), 79-96.

This paper analyzes an M/M/2 queueing system with heterogeneous servers, one of which is always available but the other goes on vacation in the absence of customers waiting for service. The system is analyzed in the steady state using matrix geometric method. Busy period of the system is analyzed and mean waiting time in the stationary regime computed. Conditional stochastic decomposition of stationary queue length is obtained. An illustrative example is also provided.

2 tables, 17 ref

008483   Kandil A;Tantawy O A E;El-Sheikh S A;El-Latif A M A (Mathematics Dep, Faculty of Science, Helwan University, Helwan, Egypt, Email: alaa_8560@yahoo:com) : Soft ideal theory soft local function and generated soft topological spaces. Int J appl mathl Analysis Applic 2013, 8(2), 143-56.

Purpose of this paper is to introduce the notion of soft ideal in soft set theory. The concept of soft local function is also introduced. These concepts are discussed with a view to find new soft topologies from the original one. The basic structure, especially a basis for such generated soft topologies also studied here. Finally, the notion of compatibility of soft ideals with soft topologies are introduced and some equivalent conditions concerning this are established here.

26 ref

008482   Kadak U;Ozluk M (Mathematics Dep, Faculty of Science Gazi Univ, Teknikokullar, 06500-Ankara, Turkey, Email: ugurkadak@gmail.com) : Characterization of matrix transformations between some classical sets of sequences with respect to partial metric. Far East J mathl Sci 2013, 82(1), 93-118.

In this paper, authors investigate and discuss the matrix transformations between some sets of sequences and series by using usual metric which is induced by a partial metric. Some elementary properties and characterizations for partial metric spaces are given. In addition, several necessary and sufficient conditions for matrix classes are established by means of α-dual, β-dual and γ-dual of some sets of sequences and series. We use those results to obtain some matrix characterizations with respect to the partial metric. Also, conservative and coercive matrices are considered and, some properties of Silverman-Toeplitz and Kojima-Schur theorems are obtained via partial metric with illustrative examples. Finally, we propose the concept for sequence-to-sequence and series-to-series methods of summability, we prove three theorems related to the matrix classes of series-to-sequence.

13 ref

008481   Jiang W;Yang Z (Mathematics Dep, Hunan Institute of Science and Technology, Yueyang 414006, China, Email: csujw@163.com) : The expected discounted penalty function for two classes of risk processes perturbed by diffusion with multiple thresholds. Indian J pure appl Math 2014, 45(4), 479-95.

In this paper, we consider a perturbed risk model with two independent classes of risks under multiple thresholds in which both of the two inter-claim times have phase-type distributions. We obtain the integro-differential equations with boundary conditions for the expected discounted penalty function. Explicit expressions are derived if the two classes claim amount distributions both belong to the rational family.

12 ref

008480   Jaya Subba Reddy C;Hemavathi K (mathematics Dep, S.V. Univ, Tirupati-517 502, Email: hemavathiphd@gmail.com) : Reverse derivations on semiprime rings. Ultra Scient phys Sci-Sect A 2014, 26(1), 111-13.

In this paper some results concerning to reverse derivations on semiprime rings are presented. If R be a semi prime ring with a reverse derivation d and S be the left ideal of R then [S, R]d(R) = 0. Also if S be a right ideal of R then [R, S] d(S) = 0 is proved by using reverse derivation.

^ssc2 ref

008479   Jain S (Mathematics Dep, V.S.S.D. College, Kanpur) : Realistic model using difference equations for repayment of loans in finance. Ultra Scient phys Sci-Sect A 2014, 26(1), 9-14.

The purpose of this paper is to find simple ways of solving problems in finance by the difference equations. As difference equations have discrete variables they are useful for developing computer program. The main contribution of this paper is the simplicity of the method presented which gives opportunity to create formulae for cases which are specialized and more realistic. In this article we formulate a mathematical model for repayment of loans by equal installments (such as EMI - Equated Monthly Installments, Equated Fortnightly Installments and Equated Quarterly Installments). The aim of this article is to develop computer program which can be used easily. The software can be helpful to consumers prone to fuzzy math. The paper is concluded by giving a comparative study table to weigh the various paying options.

3 tables, 7 ref

008478   Halima M B;Rahali A (Faculty of Sciences at Sfax, Mathematics Dep, Sfax Univ, Route de Soukra, B.P. 1171 3000-Sfax, Tunisia, Email: majdi.benhalima@yahoo.fr) : Dual topology of the Heisenberg motion groups. Indian J pure appl Math 2014, 45(4), 513-30.

15 ref

008477   Ghorbani S;Hasankhani A (Mathematics of Bam Dep, Shahid Bahonar Univ of Kerman, Kerman, Iran, Email: sh.ghorbani@mail.uk.ac.ir) : Uniform topology and a residuated lattice induced by fuzzy filters. Int Rev Fuzzy Math 2014, 9(1-2), 45-62.

In this paper, we use the concept of fuzzy filters of a residuated lattice to define a uniform topology. We study some properties of this topology. Then we construct a quotient residuated lattice by a fuzzy filter and define the quotient topology on it. Discussed some properties of this topology.

13 ref

008476   Garg M (Mathematics Dep, Nehru P.G. College, Chhibramau, Kannauj, Uttar Pradesh, Email: garg_manoj1972@yahoo.co.in) : Banach contraction principle on cone hexagonal metric space. Ultra Scient phys Sci-Sect A 2014, 26(1), 97-103.

Introduces the notion of cone hexagonal metric space and prove Banach contraction mapping principle in cone hexagonal metric space. Our result extends recent known results.

9 ref

008475   Elboree M K (Mathematics Dep, Faculty of Science, South Valley Univ, Qena, Egypt, Email: mm_kalf@yahoo.com) : Applications of the extended test approach to (2 + 1)-dimensional gardner equation. Indian J pure appl Math 2014, 45(4), 433-41.

Based on the extended test approach (ETA), we investigated the nonlinear evolution equations, namely, (2 + l)-dimensional Gardner equation. We aimed to obtain some exact breather-type and periodic-type soliton solutions for this model. These results show that the extended test technique together with the bilinear method is a simple and effective method to seek exact solutions for nonlinear evolution equations. The properties of some * periodic-like and soliton-like solution for this system are shown by some figures.

1 illus, 24 ref

008474   El-Yagubi E;Darus M (School of Mathematical Sciences, Faculty of Science and Technology, Univ Kebangsaan Malaysia, Bangi 43600 Selangor D. Ehsan, Malaysia, Email: entisar_e1980@yahoo.com) : New subclass of analytic functions with respect of k-symmetric points. Far East J mathl Sci 2013, 82(1), 45-63.

In the present paper, the coefficient estimate of a class of functions starlike with respect to k-symmetric points defined by generalized derivative D_{λ1,λ2,<100>}^{m,b will be studied. The integral representation and several coefficient inequalities of functions belonging to this class will be given.}

24 ref

008473   Dutta T K;Das M L (Pure Mathematics Dep, Calcutta Univ, 35, Ballygunge Circular Road, Kolkata-700 019, Email: dasmaniklal@yahoo.co.in) : Extensions of fuzzy ideals of semirings. Int Rev Fuzzy Math 2014, 9(1-2), 91-107.

In this paper authors introduce the notions of extension of fuzzy ideal of a semiring S, fuzzy 3-weakly completely prime ideal of S and study the relationship between fuzzy weakly completely prime ideals, fuzzy 3-weakly completely prime ideals by means of the extensions of fuzzy ideals of semiring.

8 ref

008472   Dorsett C (NO, , Texas A&M Univ-Commerce) : Subspaces and regularly open T_o spaces. Ultra Scient phys Sci-Sect B 2014, 26(1), 96-102.

Within this paper, questions concerning subspaces of regularly open TO spaces are investigated and resolved.

6 ref

008471   Cheong M;Sang Mok K (NO, GyeongGi Science High School for the gifted, Gyeonggi-do, Email: toset@hanmail.net) : Linear discrepancy of the complete k-ary tree-poset. Far East J mathl Sci 2013, 82(1), 23-32.

In this paper, authors determine, constructively, the linear discrepancy of T_k,h,, the complete k-ary tree-poset of height h. By a construction of a natural labeling on the tree-poset, authors give an upper bound of its linear discrepancy, and then they prove that this upper bound is tight. Finally, authors establish ld(T_k,h) = 1/(k-1) (k^{h - 1) - h.}

1 illus, 9 ref

008470   Chaudhary K;Singh B K;Chandra M (Mathematics Dep, IFTM University, Moradabad, (U P)-244 001, Email: kavita.chaudhary2007@gmail.com) : Application of the queuing theory for remediation of apoptosis in population concerning with the private organization system. Int J appl mathl Analysis Applic 2013, 8(2), 101-11.

Apoptosis is considered as one of the most important computational and experimental approach to analyzing multi-servers queuing. Human resource management (HRM) is the most important and useful process to provide service,quality and result generating schedule. Human Resource (HR) is very important factor to enhance the result of the organization. In this analysis we use queuing theory to acknowledge the optimalnumber of required human resources in an organization. There are some important factors for queuing theory analysis such a number of personnels, service rate, average queue length, average waiting time, spent time and utilization coefficient p. By using queuing theory we collect the data and information of various numbers of personnels. In this way we observe that by reducing the number of human resouces, also we can find good outcome for an organization.

2 illus, 5 tables, 10 ref

008469   Chakrabarti A;Mondal S R (Mathematics Dep, Indian Institute of Science, Bangalore-560 012, Email: alok@math.iisc.ernet.in) : On approximate numerical method of solution of fredholm integral equations. Int J appl mathl Analysis Applic 2013, 8(2), 113-22.

Present note addresses the problem of determining approximate numerical solutions of Fredholm integral equations of the second kind. Specific examples are examined in detil and the numerical results are tabulated.

6 tables, 14 ref

008468   Bu T;Sun L;Wang W;Zhou J (College of Automation, Harbin Engineering Univ, Harbin 150001, P.R. China, Email: zhoujiang04113112@163.com) : Main q-eigenvalues and generalized q-cospectrality of graphs. Indian J pure appl Math 2014, 45(4), 531-8.

Let Q_G denote the signless Laplacian matrix of a graph G. An eigenvalue μ of Q_G is said to be a main Q-eigenvalue of G if μ has an eigenvector which is not orthogonal to an all-ones vector e. We give some basic properties of main Q-eigenvalues. For a graph G of order n, G is called Q-controllable if G has n distinct main Q-eigenvalues. We show that a graph H is generalized Q-cospectral with a Q-controllable G if and only if H is Q-controllable and there exists a unique rational orthogonal matrix R such that Re = e, Q_H = R^TQ_GR.

18 ref

008467   Bhadra D;Ghosh M;Kim D (Production and Quantitative Methods Area, Indian Institute of Management, Ahmedabad) : Estimation of median household income for small areas : a Bayesian semiparametric approach. Calcutta Statist Ass Bull 2012, 64(253-4), 115-42.

Estimation of median income of small areas is one of the principal targets of inference of the U.S Bureau of Census. These estimates play an important role in the formulation of various governmental decisions and policies. Since these estimates are collected over time, they often possess an inherent longitudinal pattern. Taking proper account of this time varying pattern may result in better estimates for the current or future median household incomes for a particular state or county. In this study, we put forward a semiparametric modeling procedure for estimating the median household income for all the U.S states. Our models include a nonparametric functional part for accommodating any unspecified time varying income pattern and also a state specific random effect to account for the within-state correlation of the income observations. Model fitting and parameter estimation is carried out in a hierarchical Bayesian framework using Markov chain Monte Carlo (MCMC) methodology. It is seen that the semiparametric model estimates can be superior to both the direct estimates and the Census Bureau estimates. Overall, our study indicates that proper modeling of the underlying longitudinal income profiles can improve the performance of model based estimates of household median income of small areas.

13 ref

008466   Barthakur G K (Mathematics Dep, G K B College, Morigaon, Assam, Email: gopik2003@gmail.com) : On (ε, ε v q)- Fuzzy fator N-Group. Int J appl mathl Analysis Applic 2013, 8(2), 89-99.

In this paper author introduced the notion of (F128><101>, ε v q)-fuzzy factor N-group and investigate some of their properties.

11 ref

008465   Balasubramanian S (Mathematics Dep, Govt Arts College (Autonomous), Karur-639 005, Email: mani55682@rediffmail.com ) : Vg-lindeloff space. Ultra Scient phys Sci-Sect A 2014, 26(1), 104-10.

The object of the present paper is to introduce vg-lindeloff spaces and study its basic properties.

14 ref

008464   Bajaj R K;Garg G;Hooda D S (NO, Jaypee Univ of Information Technology, Solan-173 215, Email: rakesh.bajaj@gmail.com) : On restricted fuzzy linear regression model. Int Rev Fuzzy Math 2014, 9(1-2), 11-23.

Fuzzy linear regression model is considered where the explanatory variables are crisp and study variable is fuzzy in nature. It is assumed that some prior information is available on some regression coefficients in terms of linear restrictions. This prior information is used in estimating the regression coefficients. Through simulation study it is shown that the obtained restricted estimator is better than the unrestricted estimator in some sense of dominance.

15 ref

008463   Badge J (IPER, , Bhopal, Email: jyoti.badge@gmail.com) : Study and analysis of fat-tail risk and other statistical properties of Indian stock market. Int J appl mathl Analysis Applic 2013, 8(2), 133-41.

In this paper, the existence of fat-tail risk and other statistical properties of the Indian Stock Market are studied and analyzed. A fat-tail risk in financial markets refers to extreme swings in the markets. The daily data of S&P CNX NIfty during the years 2001 to 2009 is selected for experiment. The actual distribution of returns are examined which exhibit the statistical characteristics of leptokurtosis and the frequencies of distributions falling into certin ranges of daily returns are compared. The daily return of stock index is forecasted by Fuzzy Time Series Modl. The statistical study has shown that the Inian Stock Market has more volatile or risky trading environment than normaldistribution.

4 illus, 6 tables, 15 ref

008462   Asha G;Jagathnath K M (Statistics Dep, Cochin Univ of Science and Technology, Chennai) : Inequality measures for bivariate distribution with load sharing dependence. Calcutta Statist Ass Bull 2012, 64(253-4), 37-57.

In the univariate case Lorenz order and related summary measures of inequality such as the Gini Index seem to be quite generally accepted as appropriate indicators of inequality. Several extensions of the Lorenz order and Gini index to the multivariate setup has been proposed by various authors. The choice of an apt measure depends on the dependence enjoyed by the original bivariate distribution. When the distribution has a load sharing dependence it is more adequate to study the univariate conditional distributions than the joint distributions. In this paper we study the inequality measures specifically, Lorenz function and Gini index of these distributions and characterize the original bivariate distribution using these measures.

1 illus, 2 tables, 18 ref

008461   Arul R;Angayarkanni M (Mathematics Dep, Kandaswami Kandar's College, Velur-638 182, Email: rarulkkc@gmail.com) : Asymptotic behavior of second order nonlinear neutral difference equations with "MAXIMA". Far East J mathl Sci 2013, 82(1), 79-92.

In this paper, authors study the asymptotic behavior of nonoscillatory solutions of neutral difference equations with "maxima" of the form Δ(o_nΔ(x_n + p_nx_n-k)) - q_nr max x_s^{α = 0, n ∈ N(n₀). [n-m,n] Examples are given to illustrate the main result.}

7 ref

008460   Areepong Y;Sukparungsee S (Applied Statistics Dep, Faculty of Applied Science King Mongkut's Univ of Technology North Ban, Bangkok 10800, Thailand, Email: yupaporna@kmutnb.ac.th) : Analytical explicit formula for performance of cumulative sum procedure for exponential distribution. Far East J mathl Sci 2013, 82(1), 119-32.

Main goal of this paper is to derive explicit formulas of Average Run Length (ARL) by using integral equation technique for detecting changes in process mean. We find explicit formulas of ARL for Cumulative Sum chart when observations are independent and identically distributed (i.i.d.) exponentially distributed for the case of a ≤ b. The explicit formulas for ARL that we have derived have been found to be accurate, fast and easy to calculate. Checking the accuracy of results, we found an excellent agreement between the closed-form expressions and numerical solutions and a computational time of former is much less than the latter approach. Additionally, the comparison of the performance between CUSUM and EWMA charts has been presented.

3 tables, 16 ref

008459   Amudhambigai B;Jafari S;Uma M K;Roja E (Mathematics Dep, Sri Sarada College of Women, Salem-16, Tamil Nadu) : Notions VIAr-generalized fuzzy preopen sets. Int Rev Fuzzy Math 2014, 9(1-2), 25-36.

In this paper, the concepts of r-generalized fuzzy preborder, r- generalized fuzzy preexterior and r-generalized fuzzy prefrontier in the sense of Sostak and Ramadan are introduced. Some interesting properties and characterizations of them are investigated. Interrelations among the concepts introduced are studied with relevant examples.

11 ref

008458   Ahmad A;Ahmad S;Al-Habsi A;Al-Hinai M (Electrical and Computer Engineering Dep, College of Engineering, Sultan Qaboos Univ, PO Box 33, Zip-code 123, Oman, Email: afaq@squ.edu.om ) : Understanding universal product code - a study and simulation experiments. Indian J ind appl Math 2014, 5(1), 25-34.

Given the importance of computers in the world today, almost every item produce is calculated, quantified and documented. It is, therefore, crucial for human societies to develop methods of facilitating these processes. The Universal Production Code (UPC) is one such method, a standard which not many consumers have knowledge of but in probability encounter items with the UPC code on a daily basis. The importance of the UPC as well as its ubiquity serves as the motivation of the following paper. It mainly consists of research that is readily available online but also explores how the coding, the application of parity error check, and the mod theory application are involved to the UPC. The paper also presents some useful simulation experiments in MATLAB as teaching aid. Understanding and interpreting the UPC equips one with the knowledge of doing business in a more efficient manner. As opposed to manual entry, the early method of documenting and quantifying products, the barcode system allows companies to track their items at a much faster rate; at a lower cost while simultaneously preventing error (UPC code is 10,000 times more accurate than manual entering).

8 illus, 3 tables, 7 ref

008457   Abel M;Ntumba P P (Institute of Mathematics, Tartu Univ, 2-615 J. Liivi St. 50409 Tartu, Estonia, Email: mart.abel@ut.ee) : Universal problem for kahler differentials in A-modules: non-commutative and commutative cases. Indian J pure appl Math 2014, 45(4), 497-511.

Let A be an associative and unital K-algebra sheaf, where K is a commutative ring sheaf, and ε an (A, A)-bimodule, that is, a sheaf of (A, A)-bimodules Authors construct an (A, A)-bimodule which is K-isomorphic with the K-module D_K(A, ε) of germs of K-derivations. A similar isomorphism is obtained, this time around with respect to A, between the K-module D_K(A,ε) with the A-module Horn_A (Ω_K(A),ε), where A, in addition of being associative and unital, is assumed to be commutative, and Ω_K(A) denotes the A-module of germs of Kahler differentials. Finally, we expound on functoriality of Kahler differentials.

6 ref

007403   Wayan Mangku I;Ruhiyat;Gusti Putu Purnaba I (Mathematics Dep, Bogor Agricultural Univ, Jl. Meranti, Kampus IPB Dramaga Bogor 16680, Indonesia, Email: wayan.mangku@gmail.com) : Statistical properties of an estimator for the mean function of a compound cyclic poisson process. Far East J mathl Sci 2013, 82(2), 227-37.

The problem of estimating the mean function of a compound cyclic Poisson process is considered. An estimator of this mean function is constructed and investigated. We do not assume any parametric form for the intensity function except that it is periodic. Moreover, we consider the case when only a single realization of the Poisson process is observed in a bounded interval. Asymptptic bias and variance of the proposed estimator are computed, when the size of the interval indefinitely expands.

7 ref

007402   Tripathi B P;Yadav M R (Mathematics Dep, Govt. N.P.G. College of Science, Raipur, Chhattisgarh-492 010, Email: yadavmryadav@gmail.com) : Strong convergence theorem for zamfirescu operators in CAT(0) space. Indian J ind appl Math 2013, 4(2), 152-9.

In this paper, author have proved a strong convergence theorems for the class of Zamfirescu operators using the Noor iteration process considered in CAT(O) spaces. Our results are improvement of recent ones by other authors.

21 ref

007401   Rahmani M K I;Ansari M A (NO, Mewar Univ, Chittorgarh, Rajasthan, Email: kirahmani@rediffmail.com) : Fuzzy image retrieval: recent trends. Indian J ind appl Math 2013, 4(2), 131-7.

Images have been playing very important role in human life since beginning of human civilization: Applications of images are found ranging from basic but very effective exchange of ideas and information to some advanced technologies in the industry, society, medical and military field. Image data has become an important field of research with rapid and huge growth of visual information in the number of large-scale and online image repositories. Image data is fuzzy in nature and imprecision and vagueness may exist in both image descriptions and query specifications. Techniques of Fuzzy set theory have been extensively applied to the representation and processing of imprecise and uncertain text and visual data. Soft computing has been applied in image retrieval and image analysis in numerous cases. For the fuzzy content-based image retrieval, fuzzy sets are applied for the extraction and representation of visual features like colors, shapes, textures, for similarity measures and indexing, for representing relevance feedback and for image retrieval. Fuzzy sets are also applied for fuzzy image query processing based on a defined database models and image data management. Image segmentation is used to extract information from complex medical images by partitioning an image into mutually exclusive regions such that each ROI is spatially contiguous and homogeneous; widely used homogeneity criteria being intensity, texture, color, range, surface normal and surface curvatures. In the field of medical imaging, soft computing based segmentation using Fuzzy-Neuro logic have been used to detect various tissues like white matter, gray matter; cerebral spinal fluid and tumor for a given magnetic resonance image data set. Fuzzy-Neuro logic segmentation algorithm is used to provide satisfactory results compared to K-means, Fuzzy C-Means, Neural Network and Fuzzy logic.

30 ref

007400   Misra R K;Sushil Kumar (Mechanical Engineering Dep, School of Engineering, Gautam Buddha Univ, Greater Noida-201 310, Email: mishrark_kanpur@yahoo.com) : Multiquadric radial basis function method for boundary value and free vibration problems. Indian J ind appl Math 2013, 4(2), 138-41.

Radial basis function method is a generalized version of the multiquadric radial basis function method (MQRBF). It is considered an important tool for interpolating multidimensional scattered data. Its ability to handle arbitrarily scattered data, to easily generalize to several space dimensions, and to provide spectral accuracy have made it popular in various applications. In this paper development of the multi quadric radial basis function (MQRBF) has been discussed. Shape parameter plays important role, when MQRBF is applied to solve boundary value problems and it significantly affects the stability and accuracy. Value of the shape parameter decreases as number of data points increases. The effect of shape parameter is explained in details. Approaches for solving boundary value problems using multiquadric radial basis function have been mentioned. Notations: a,b Dimension of plates, D Flexural rigidity of plates, œ Young's modulus, h Thickness of plates, C_v^{*, C_v Viscous damping, dimensionless viscous damping, q,Q Transverse load, dimensionless transverse load, t*, t Time, dimensionless time, λ Aspect ratio (a/b), v Poisson's ratio, p Mass density of plates, w Dimensionless displacement in z direction, w* Displacement in z*direction, m Mass of the plate.}

1 illus, 10 ref

007399   Meilisa S;Manik N I;Santoso D (Mathematics and Statistics Dep, School of Computer Science Bina Nusantara Univ, Jl. Kebon Jeruk Raya No. 27 Jakarta 11530, Indonesia, Email: manik@binus.edu) : Testing deterministic finite automata and non-deterministic finite automata using java program. Far East J mathl Sci 2013, 82(2), 209-25.

Author have tested the transition diagram of deterministic finite automata (DFA) and non-deterministic finite automata (NFA) using a computer software of Java programming language. This application is able to describe the transition diagram of DFA and NFA. It is able to determine which string inputted from the user can be accepted or rejected. The main goal is to help facilitate language learning automata theory. This research describes the system development of the application program, from the creating of automata structures to the implementation of algorithm in the creation and running of automata transformation. The test is conducted by observing the system in dealing with the formation and transformation of finite automata. It is conducted to examine the system's ability to run automata in large state. From the test we obtain that the system is capable of creating automata and performing transformations between finite automata. The results of performance testing show that the system is able to run the creation and transformation of finite state automata up to 1000 states.

20 illus, 6 tables, 10 ref

007398   Kim W K (Mathematics Education Dep, Chungbuk National Univ, Cheongju 361-763, Korea, Email: wkkim@chungbuk.ac.kr) : Note on an R-E-KKM theorem. Far East J mathl Sci 2013, 82(2), 239-47.

In this note, authors first introduce an R-E-KKM map which generalizes both the E-KKM map and R-KKM map simultaneously in the E-convex settings. Next, we prove an R-E-KKM theorem which generalizes the E-KKM theorem and the best proximity theorem simultaneously in a normed linear space.

6 ref

007397   Karim S A A (Fundamental and Applied Sciences Dep, Teknologi Univ, Petronas Bandar Seri Iskandar, 31750 Tronoh Perak Darul Ridzuan, Malaysia, Email: samsul_ariffin@petronas.com.my ) : Rational cubic ball functions for positivity preserving. Far East J mathl Sci 2013, 82(2), 193-207.

Curve interpolation scheme is developed using rational cubic Ball functions with cubic numerator and cubic denominator. The two parameters, in the description of the rational interpolant have been constrained to preserve the shape of the data. The positivity preserving properties of this rational interpolant to a given data set are shown. The degree of smoothness C^{1 is attained (first order of parametric continuity). The numerical results show that the proposed schemes work well to all data sets and are comparable to the existing method.}

8 illus, 32 ref

007396   Karaca Y;Aslan Z (NO, Halic Univ, Istanbul, Turkey, Email: yelzkaraca@gmail.com) : Wavelet analysis of anxiety and mathematics performance. Indian J ind appl Math 2013, 4(2), 118-30.

Main objective oil this paper is to determine the influence of various motivations and variables on mathematics performance of students in high school (college, lice). Some questionnaires covers 45 questions circulated to students at different high schools in Istanbul. 1D continuous wavelet and 1D wavelet packets were applied to interpret the role of different scales on anxiety and mathematic performance of the students. There are no differences in anxiety, self concept, or self-efficacy for self-regulation between start and end of year, but, by end of year, students described mathematics as less valuable and reported lower effort and persistence. There are some gender differences in the motivation constructs.

20 illus, 1 table, 10 ref

007395   El-Maghrabi A I;Al-Ahmadi N M (Mathematics Dep, Faculty of Science Taibah Univ, Al-Madinah Al-Munawarah Kingdom of Saudi, Arabia, Email: amaghrabi@taibahu.edu.sa) : New notions via gp-closed sets. Far East J mathl Sci 2013, 82(2), 157-82.

In this paper, authors introduce and study the notion of a new class of functions, namely, star generalized precontinuous, star generalized preclosed and strongly star generalized preclosed functions.

28 ref

007394   Edward Samuel A;Balamurugan M (Ramanujan Research Centre, Mathematics P.G. and Research Dep, Government Arts College (Autonomous) Kumbakonam, Tamil Nadu, Email: aedward74_thrc@yahoo.co.in) : Application of fuzzy sets in identifying the blood groups. Far East J mathl Sci 2013, 82(2), 133-45.

This paper analyses how the children's blood group can be identified from the blood group of their parents. Here fuzzy set theory (FS) is applied to identify the blood group of offspring, and also the Rh factor of the same.

12 ref

007393   Durai V R;Bhardwaj R (NO, India Meteorological Dep, New Delhi-110 003, Email: rashmib22@gmail.com) : Statistical bias correction methods for numerical weather prediction model (NWP) forecasts of maximum and minimum temperatures. Indian J ind appl Math 2013, 4(2), 142-51.

Investigated the performance of four bias correction methods for improving both maximum and minimum temperature forecasts produced by the NWP model. The objective of bias correction is to minimize the systematic error of the next forecast using bias from past errors. The need for bias corrections arises from the many sources of systematic errors in NWP modeling systems. NWP models have shortcomings in the physical parameterization of weather events and have the inability to handle sub-grid phenomena successfully. The statistical algorithms used for minimizing the bias of the next forecast are Running-Mean (RM) bias correction, Best Easy Systematic (BES) estimator, simple Linear Regression (LR) and the Nearest Neighborhood Weighted (NNW) mean, as they are suitable for small samples. Bias correction is done for four global NWP model maximum and minimum temperature forecasts. The magnitude of the bias at a grid point depends upon geographical location and season. Validation of the bias correction methodology is carried out using daily observed and bias corrected model maximum and minimum temperature forecast over India during July-September 2011. The bias corrected NWP model forecast generally outperforms direct model output (DMO). The spatial distribution of Mean Absolute Error (MAE) and Root mean squared Error (RMSE) for bias corrected forecast over India indicate that both the RM and NNW methods produces the best skill among other bias correction methods. The inter-comparison reveals that statistical bias correction methods improves the DMO forecast in terms of accuracy in forecast and has the potential for operational applications.

6 illus, 8 ref

007392   Dobbs D E (Mathematics Dep, Tennessee Univ, Knoxville, Tennessee 37996-1320, U.S.A., Email: ddobbs1@utk.edu) : On the integral closure of a two-dimensional t-closed going-down domain. Far East J mathl Sci 2013, 82(2), 183-91.

If R is a two-dimensional going-down domain and T is a seminormal integral overring of R such that R is t-closed in T, (R : T) ≠ 0 and R ⊆ T has finite fibers, then T is a going-down domain. Applications are given to the case T = R', the integral closure of R. The above improves a known result because if 1 ≤ d ≤ ∞ then there exists a t-closed d-dirnensional going-down domain R which is not quadratically integrally closed although R' is module-finite over R.

18 ref

007391   Dobbs D E (Mathematics Dep, Tennessee Univ, Knoxville, Tennessee 37996-1320 U.S.A., Email: ddobbs1@utk.edu) : On maximal chains of intermediate fields of a field extension. Far East J mathl Sci 2013, 82(2), 147-56.

Using ZFC, it is known that for each uncountably infinite cardinal number K, there is a field extension K ⊆ L and a maximal chain C of intermediate fields going from K to L such that the cardinal number of C is K; it can furthermore be arranged that the field extension L/K is, as one wishes, either purely transcendental or algebraic or neither purely transcendental nor algebraic. More generally, if L/K is a field extension with a traditional generating set (in the sense of Dobbs-Heitmann) of cardinality K, then there exists a maximal chain C with the above properties.

6 ref

007390   Chawla M;Bhardwaj R (Non-linear Dynamics Research Lab, Univ School of Basic and Applied Sciences, Guru Gobind Singh Indrapras, Dwarka, Delhi-110 078, Email: rashmib22@gmail.com ) : Slip velocity effect on performance of magnetic fluid flow. Indian J ind appl Math 2013, 4(2), 108-17.

Use of magnetic fluids has led to the development of many new energy devices and instruments. Magnetically cooled high fidelity speakers, computer disc drives and semiconductors are already in commercially use. Magnetic fluids are prepared by suspending ferromagnetic grains in nonmagnetic, non-conducting liquids such as diesters, kerosene, hydrocarbons and fluorocarbons. Among various applications in engineering, most important are those of the possibility of collecting and holding firmly small quantities of such fluids in regions with highly focused magnetic fields. A theoretical model of magnetic fluid based porous-pivoted slider bearing with slip velocity is considered to study effect of surface roughness on the performance of fluid. Generalized form for surface roughness characterized by stochastic random variable with non-zero mean, variance and skewness is used to define bearing surface. Load capacity is evaluated in terms of magnetic, permeability, slip and surface roughness parameters. Numerical and graphical behavior of load capacity based on magnetic, permeability, slip and surface roughness parameters is also studied. Minimization of slip parameter and permeability parameter is discussed for the possible increase in the load capacity.

4 illus, 3 tables, 13 ref