013495   Senthil Kumar P;Umamaheswari N (Mathematics Dep, Rajah Serfoji Government Arts College, Thanjavur-613 005, Email: senthilscas@yahoo.com) : The impact by reliability growth in stress intervention for non-metastatic breast cancer through stochastic model. Arya Bhatta J Math Inf 2014, 6(2), 289-92.

The paper studies the effects of a cognitive-behavioral stress management (CBSM) intervention in order to examine intervention related changes in serum cortisol among breast cancer patients over a 12- month period in women who were undergoing treatment for non metastatic breast cancer. The most widely used traditional reliability growth tracking model and reliability growth projection model are both included as International Standard and National Standard models. These traditional models address reliability growth based on failure modes surfaced during the test. This paper presents an Extended Model that addresses this practical situation and allows for preemptive corrective actions.

2 illus, 12 ref

013494   Senthil Kumar P;Sarguna Sundari D (Mathematics Dep, Rajah Serfoji Government College, Thanjavur, Email: senthilscas@yahoo.com) : Stochastic Vasicek model for the glucose-induced glucagon-like peptide 1 secretion is deficient in patients with non-alcoholic fatty liver disease. Arya Bhatta J Math Inf 2014, 6(2), 305-8.

The incretins glucagon like peptide -1 (GLP-1) is one of the gastrointestinal peptide hormones regulating postprandial insulin release secreted from pancreatic - cells. GLP-1 agonism is a treatment strategy in Type 2 diabetes and is estimated in Non- alcoholic fatty liver disease NAFLD. Since GLP1 can stimulate insulin Secretion from the pancreas and alleviate type 2 diabetes. In this paper we determine the secretion of incretins after oral glucose administration in Non- diabetic NAFLD patients. In risk management and in the rating practice it is desirable to grasp the essential statistical features of a time series representing a risk factor to begin a detailed technical analysis of the product or the entity under scrutiny. This paper introduces a number of risk management applications. The model developed here suffice for the first step in Quantitative analysis. The broad qualitatives features here is mean reversion under the mean reverting processes the Vasicek model is one of the earliest stochastic models of the short term interest rate.

2 illus, 9 ref

013493   Senthil Kumar P;Mohamed Harif B (Mathematics Dep, Rajah Serofji Government College, Thanjavur, Tamil Nadu, Email: senthilscas@yahoo.com) : Fuzzy modeling of cortisol secretion of job strain due to stress using extended Hausdroff distances for intuitionistic fuzzy sets. Arya Bhatta J Math Inf 2014, 6(2), 231-8.

Fuzzy model of extended hausdroff distance for iritutionistic fuzzy sets and interval-valued fuzzy sets based on the hausdroff metric (four inputs-one output and two inputs-one output) were developed to test the hypothesis that high job demands and low job control (job strain) are associated with elevated free cortisol levels early in the working day and with reduced variability across the day and to evaluate the contribution of anger expression to this pattern. The quality of the model was determined by comparing predicted and actual fuzzy classification and defuzziflcation of the predicted outputs to get crisp values for correlating estimates with published values. A modified form of the Hamming distance and Euclidian distance measure is proposed to compare predicted and actual fuzzy classification. An entropy measure is used to describe the ambiguity associated with the predicted fuzzy outputs. The two inputs (high and low) predicted over 40% of the test data within one-half of a fuzzy class of the published data. Comparison of the model (men and women) shows that the hausdroff hamming distances exhibited less entropy than the hausdroff Euclidian distance.

4 illus, 2 tables, 11 ref

013492   Senthil Kumar P;Dinesh Kumar A;Vasuki M (Mathematics Dep, Rajah Serfoji Government College (Autonomous), Thanjavur, Tamilnadu, Email: senthilscas@yahoo.com) : Stochastic model to find the effect of gallbladder contraction result using uniform distribution. Arya Bhatta J Math Inf 2014, 6(2), 323-8.

The cholecystokinin is a 33 amino acid polypeptide. The C-terminal octapeptide fragment (OP-CCK) reproduces all the known biologic activities of the intact molecule. The purpose of this study was to determine the effect on gallbladder contraction of 20 ng/kg of OP-CCK intravenously in patients undergoing cholecystography. If a ≥ 1 and b ≥ 1, let us define θ(a, V) as the smallest r = 0,1,2, for which either ξ_r = a or ξ_r = -b. Authors can interpret θ(a, b) as the duration of games in the classical ruin problem.

2 illus, 12 ref

013491   Ramesh Kumar A;Deepa S (Mathematics Dep, Srimad Andavan Arts and Science College, T.V. Kovil, Trichy-5, Email: rameshmaths@ymail.com) : New approach to solve interval linear assignment problem. Arya Bhatta J Math Inf 2014, 6(2), 293-8.

The new Technical method to solve interval linear Assignment Problem have been discussed which gives optimal solution directly within few steps. In a ground reality the entries of the cost matrix is not always crisp. In many application this parameters are uncertain and these uncertain parameters are represented by interval. Interval analysis concept for solving interval linear assignment problems seem to be easiest as compare to methods of assignment problem. The method of solving interval linear assignment problem is appropriate for both minimization and maximization cases.

9 ref

013490   Nirmala G;Sujatha C (Mathematics Dep, K.N. Govt. Arts College for women (Autonomous), Thanjavur-613 007) : Transforming 3SAT to Steiner problem in planar graph which is NP-complete. Arya Bhatta J Math Inf 2014, 6(2), 365-72.

Complexity theory has many facts. In this work, we propose an NP-completeness result for the Steiner problem in planar graphs.

2 illus, 13 ref

013489   Nirmala G;Murugan M (PG & Research Dep of Mathamatics, K.N. Govt. Arts College of women (Autonomous), Thanjavur-7, Tamilnadu) : Characteristics of peterson graph in cycle matrix with algebraic graph theory. Arya Bhatta J Math Inf 2014, 6(2), 335-42.

In this work basic concepts of algebraic graph theory and its properties are reviewed and extended to the related concepts of cycle matrix in Peterson graph and its properties. The relation between cycle matrix and incidence matrix is introduced. Rank of the cycle matrix is also reviewed.

15 ref

013488   Muthaiyan A;Ramesh Kumar R J (PG Research & Dep of Mathematics, Government Arts College, Ariyalur, Tamilnadu, Email: mathsphd1@gmail.com) : Stochastic model to find the testosterone therapy on functional capacity in congestive heart failure patients using uniform distribution. Arya Bhatta J Math Inf 2014, 6(2), 343-50.

Heart failure is a serious cardiovascular condition leading to life threatening events, poor prognosis, and degradation of quality of life. According to the present evidences suggesting association between low testosterone level and prediction of reduced exercise capacity as well as poor clinical outcome in patients with heart failure, we sought to determine if testosterone therapy improves clinical and cardiovascular conditions as well as quality of life status in patients with stable chronic heart failure. In the random motion on Poincare half plane, the hyperbolic distance is analyzed and also in the case where returns to the starting point is admitted. The mean hyperbolic distance in all versions of the motion envisaged and it is used to find the role of Testosterone in improvement of functional capacity and quality of life in heart failure patients.

2 illus, 13 ref

013487   Mahanta D (Mathematics Dep, Nowgong Girl's College, Nagaon, Assam-782 002, Email: mahanta.dibyajyoti@yahoo.in) : Role of home environment and mathematics achievement for students of secondary schools in Nagaon district. Asian J Adv Basic Sci 2014, 2(1), 105-15.

Study the effect of home environment upon the formation of attitude of the students towards mathematics. We conducted a survey to identify the various factors in the home environment that can affect student achievement and to investigate the ature of their impact. We have tabulated certain data obtained from our survey, and conducted suitable analysis upon the same using Levene's test for equality of variances and t-test for equality of means. Our study reveals a positive correlation between the home environment and attitudes of the students towards mathematics. The paper concludes that a congenial home environment is an essential factor in moulding the appetite of the students towards mathematics which influences their overall academic achievement in the long run.

3 illus, 16 tables, 36 ref

013486   Kapoor S;Rajeev Kumar (Mathematics Dep, M.D. Univ, Rohtak, Haryana) : Comparative analysis of two stochastic models for a base transceiver system considering hardware and software interaction failures. Arya Bhatta J Math Inf 2014, 6(2), 313-22.

This paper deals with comparative analysis of two stochastic models for a base transceiver system given in [5] and [6] to judge which and when one model is better than the other in terms of different measures of system performance and costs. A base transceiver system may fail or may not work satisfactorily on occurrence of some minor or major faults in its hardware and software components, catastrophic failures or calls congestion. Further in hardware and software components of the system there can be two types of hardware and software interaction failures viz. hardware based softwar failures and software based hardware failures. In the first model given in [5], only software based hardware failures are taken whereas in the model-given in [6], hardware based software failures are taken apart from considering occurrence of some minor or major faults in hardware/ software components, catastrophic failures and calls congestion. In these models it is assumed that the minor fault leads to partial failure or degradation state whereas a major fault and catastrophic failure leads to complete failure of the system. On failures, the available technicians first inspect whether fault is due to hardware, software or hardware and software interaction failures then recovery of the infected component is done. On the basis of computed measures of system performance, comparison of the models with respect to their mean times to failures, expected uptimes/degradation times and profits is made using graphs for some particular case and conclusions are drawn. Index Terms : Base Transceiver System (BTS), catastrophic failure, congestion of calls, hardware and software interaction failures reliability, mean up/degradation times, profit, Markov process, regenerative point technique.

8 illus, 15 ref

013485   Kadian P;Parvesh Kumar;Bhagwan J (Mathematics Dep, Govt. College, Badli, Jhajjar, Email: pushpanderkadian@gmail.com) : Contribution of Ramanujan in modern mathematics. Arya Bhatta J Math Inf 2014, 6(2), 329-34.

The contribution of Great Indian Mathematician Srinivasa Ramanujan in the development of modern mathematics is described. Starting with the early life, his journey from a small village in Kumbakonam to the Fellow of the Royal Society is described in detail. Particular attention is given to his extraordinary research work which formed a strong foundation in the development of analysis, number theory, infinite series and continued fractions.

8 ref

013484   Hemlata;Himral L (NO, , YIET, Gadholi, Yamuna Nagar, Email: goldygsohal@gmail.com) : Novel approach of visual cryptography(T,N) scheme with dynamic group. Arya Bhatta J Math Inf 2014, 6(2), 351-6.

Visual cryptography (VC) Scheme is a secret sharing scheme where a secret image is encoded into transparencies, and the stacking of any out of transparencies reveals the secret image. The stacking of or fewer transparencies is unable to extract any information about the secret data. We discuss the additions and deletions of users in a dynamic group. To reduce overhead of generating and distributing transparencies in user change, this paper proposes a VC scheme with unlimited based on the probabilistic model. The proposed model allows to change dynamically in order to include new transparencies without regenerating and redistributing the original transparencies. Specifically, an extended VC scheme based on basis matrices and a probabilistic model is proposed in the system. An equation is derived from the fundamental definitions of the VC scheme, and then the VC scheme achieving maximal contrast can be designed by using the derived equation. The maximal contrasts are explicitly solved in this developed paper. Index Terms - VC Scheme, Halftone Technique,

2 illus, 33 ref

013483   Gupta R;Taneja G (Mathematics Dep, M.D. Univ, Rohtak, Haryana, Email: r26jan@gmail.com) : Reliability model on a cement grinding system with failure in its nine components. Arya Bhatta J Math Inf 2014, 6(2), 239-46.

The present study investigates the reliability and profit analysis of a cement grinding system with failure in the nine important components namely; Belt Conveyor, Bucket Elevator, Separator, Roller Press, Diverting Gate, Process Fan, Cyclone, Ball Mill and Fly Ash System. Only one type of failure has been considered in each of these components except that in the Diverting Gate. In Diverting Gate, two types of failure- minor and major has been taken into consideration. Also in case of Fly Ash System, occurrence of failure does not always results to the failure of the complete system. Data on failure times and cost of repairs have been collected from Shree Cement Ltd., Khushkhera, Rajasthan, India. The system has been analysed by using semi - Markov processes and regenerative point technique. Mean Time to System Failure (MTSF) and various other measures of system effectiveness have been obtained. Profit is also evaluated and graphical study is made to draw various important conclusions.

5 illus, 1 table, 8 ref

013482   Chawla S;Singh J (Mathematics Dep, IIT, Delhi-110 016, Email: chawlaasheetal@gmail.com) : Cyclic codes of length 4 p<. Arya Bhatta J Math Inf 2014, 6(2), 373-80.

The explicit expression for the 4(n + l) primitive idempotents in FG (the group algebra of the cyclic group G of order 4p^{n, where p is an odd prime, n≥1) over the finite field F of prime power order q, where q is of the form 4k+ 1 and is a primitive root modulo pn are obtained. The minimum distances, dimensions and the generating polynomials of the minimal cyclic codes generated by these primitive idempotents are also obtained. AMS Mathematical Subject Classification (2000): 11T71,11G25, 22D20.}

10 ref

013481   Bhardwaj R;Singh T P;Vijay Kumar (Mathematics Dep, Amity Univ, Punchgaon, Manesar, Gurgaon, Email: bhardwajreeta84@gmail.com) : Generalized double ended stochastic queue system with excess customer demand in real world situations. Arya Bhatta J Math Inf 2014, 6(2), 247-60.

A double ended queue model is a system where customer demanding and resource supply arrive to a work station in poisson process. When there is a pair of customer and resource in a system, they immediately transact the required system and leave the system. Thus, there cannot be non-zero numbers of customers and resources simultaneously in the system. The double ended queue system can be applied to model various social and economic situations in real world scenario. We analyzed the various queue parameters like mean queue length, waiting time and the cost functions etc. due to imbalance of customer demand and resources. The analysis has been made analytically. The queuing behavior in different situations has been examined and a comparative study has been made with the work already done through simulation. The main objective of the paper is to explore the situation when the stochastic system becomes unstable due to excess customers. The effect of customer's reduction factor and resource expansion factor has been examined graphically. The limitations of the model has also been given and extensions are suggested.

4 tables, 8 ref

013480   Arumugam P;Christy V (Statistics Dep, Manonamaniam Sundaranar Univ, Tirunelveli, Email: sixfacemsu@gmail.com) : Comparative analysis of neural network and decision trees in forecsting. Arya Bhatta J Math Inf 2014, 6(2), 261-8.

In a wide range of analysis, decision trees and neural networks are used for predictive analysis. There are researchers who compared the performance of decision trees and Neural networks, however very few with Classification and Regression Tree (CART) and Neural networks (NNs). Here we performed a three way comparison of CART, Random Forest (RF) and NNs models using a continuous and categorical dependent variable for prediction. A web usage sales data set is used to run these models. Measurement of different predictive accuracy methods are used to compare the performance of the models. Experimental results of test data of the model is used here to predict the accuracy.

4 illus, 3 tables, 7 ref

012550   Yarza S;Ongay F (NO, Area de Ciencias Basicas e Ingenieria universidad Autonoma de Nayarit, Nayarit, Mexico) : On the geometry of the Jost solutions for nth order Sturm-Liouville problems on the line. Far East J mathl Sci 2014, 84(2), 149-67.

We investigate conditions that ensure the analytic dependence of solutions to nth order linear differential equation on the spectral parameter. Because for n <62> 2, the operators are generally not self-adjoint, their spectral study requires considerations that somehow * depart from the classical methods, and these analyticity conditions are important particularly with regard to the properties of their discrete spectrum.

6 illus, 11 ref

012549   Wilcox R R (Psychology Dep, Southern California Univ, 3620 McClintock Ave, Los Angeles, CA 90089-1061, USA, Email: rwilcox@usc.edu) : Modern robust statistical methods can provide substantially higher power and a deeper understanding of data. Ann Phytomed 2014, 3(1), 25-30.

During the last fifty years, there have been many advances and insights relevant to the most basic statistical methods, designed to compare groups and study associations. Classic, routinely used methods assume sampling is from a normal distribution. Numerous papers make it clear that violating this assumption can result in missing true differences among groups and true associations among variables. Many new methods have been derived that are designed to perform well when dealing non-normal distributions and outliers that can make a substantial difference when analyzing data. Broadly, modern technology offers the opportunity to get a deeper and more accurate understanding of data. The paper reviews the basic reasons why standard methods can be highly unsatisfactory and provides an overview of some of the more modern methods that have been derived. Comments on SPSS and the software R are included.

3 illus, 34 ref

012548   Vujakovic J;Rajovic M (Faculty of Sciences and Mathematics, Pristina Univ, Lole Ribara 29 38 220 Kosovska Mitrovica, Serbia, Email: enav@ptt.rs) : Envelopes and prodi's theorem at single amplitude non-harmonic and non-sturm's oscillations of the second order. Far East J mathl Sci 2014, 85(2), 151-64.

In this paper, we emphasize characteristics of single-amplitude oscillations which do not exist at double-amplitude solutions of the second order equations of oscillation. This primary refers to identity of general and canonical form of equation, Prodi's theorem, existence of envelopes for both families of fundamental integral as well as to Kepler's meaning regarding the amplitudes and frequencies.

8 ref

012547   Viriyapong C;Boonpok C;Viriyapong N;Thongmoon M (Mathematics Dep, Faculty of Science Mahasarakham Univ, Mahasarakham 44150, Thailand, Email: chokchai.v@msu.ac.th) : M_β<. Far East J mathl Sci 2014, 84(2), 227-41.

In this paper, M_β^{i,j-continuous functions on a biminimal structure space have been introduced. Some characterizations of such functions are given.}

8 ref

012546   Vaidyanathan S (Research and Development Centre, Vel Tech Univ, Avadi-Vel Tech Road Avadi, Chennai-600 062) : New eight-term 3-D polynomial chaotic system with three quadratic nonlinearities. Far East J mathl Sci 2014, 84(2), 219-26.

In this paper, a new eight-term 3-D polynomial chaotic system with three quadratic nonlinearities is derived. The basic qualitative properties of the new chaotic system are studied and discussed in detail. The new chaotic system has three equilibria. Qualitative analysis shows that one equilibrium at the origin is a saddle-point and the other two equilibria are saddle focus nodes. The Lyapunov exponents and Lyapunov dimension for the new chaotic system are * derived. MATLAB simulations are shown to detail the properties of the new chaotic system.

2 illus, 18 ref

012545   Sroysang B;Tangpeerasit N (Mathematics and Statistics Dep, Faculty of Science and Technology Thammasat Univ, Rangsit Center, Pathumthani 12121 Thailand, Email: banyat@mathstat.sci.tu.ac.th) : Adding a point on deficient point sets of type P(3, 4, 3). Far East J mathl Sci 2014, 84(2), 243-8.

Finite planar point set P is called a deficient point set of type P(m, s, k) if it has m vertices and s interior points, and it does not contain a subset with k interior points. In this paper, we study some properties on the deficient point sets of type P(3, 4, 3) after adding a point.

6 illus, 4 ref

012544   Sroysang B;Saetia T (Mathematics and Statistics Dep, Faculty of Science and Technology, Thammasat Univ, Rangsit Center, Pathumthani 12121 Thailand, Email: banyat@mathstat.sci.tu.ac.th) : Glued sets of the deficient point sets of type 4-II-monster. Far East J mathl Sci 2014, 84(2), 249-53.

For any finite planar point set P, no three points are collinear, the set P is a deficient point set of type P(m, s, n) if it has m vertices and s interior points, and it does not contain a subset with n interior points. In this paper, we study some properties on the glued set of two 4-II-monster deficient point sets of type P(3. 4, 3).

3 illus, 4 ref

012543   Singh R M (Physics Dep, Ch. Devi Lal Univ, Sirsa-125 055, Email: dixit_rammehar@yahoo.co.in) : On solving the shrodinger equation for a complex deictic potential in one dimension. Pramana J Phys 2014, 83(3), 301-16.

Making use of an ansatz for the eigenfunction, we investigate closed-form solutions of the Schrodinger equation for an even power complex deictic potential and its variant in one dimension. For this purpose, extended complex phase-space approach is utilized and nature of the eigenvalue and the corresponding eigenfunction is determined by the analyticity property of the eigenfunction. The imaginary part of the energy eigenvalue exists only if the potential parameters are complex, whereas it reduces to zero for real coupling parameters and the result coincides with those derived from the invariance of Hamiltonian under PT operations. Thus, a non-Hermitian Hamiltonian possesses real eigenvalue, if it is PT-symmetric.

20 ref

012542   Sangviset P;Boonpok C;Viriyapong C (Mathematics Dep, Faculty of Science Mahasarakham Univ, Mahasarakham 44150, Thailand) : Slightly (m, μ)-continuous functions. Far East J mathl Sci 2014, 85(2), 165-76.

New class of functions, called slightly (m, μ) -continuous functions, has been defined and studied. Authors obtain some characterizations and several properties of slightly (m, μ)-continuous functions. Also, we discuss the relationships between slightly (m, μ) -continuity and other related generalized forms of slightly (m, μ) -continuity.

12 ref

012541   Ramachandran C;Soupramanien T (Mathematics Dep, College of Engineering Villupuram anna Univ, Villupuram-605 602, Email: crjsp2004@yahoo.com) : On subordination for an analytic function associated to certain family of integral operators. Far East J mathl Sci 2014, 85(1), 23-33.

The main object of this article is to introduce and investigate an integral operator L_λ^{μ (f) defined, on the various subclasses of the class of normalized analytic functions f in the open unit desk U. Using the techniques of differential subordination, an interesting property of the general integral operator L_λμ (f) is obtained. Some applications of the results presented here are also considered.}

10 ref

012540   Mumtong W;Pongsumpun P;Tang I M (Mathematics Dep, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Chalongkrung Road, Ladkrabang Bangkok 10520,Thailand, Email: kppuntan@kmitl.ac.th) : Studying menstrual cycle by using mathematical model. Far East J mathl Sci 2014, 85(1), 1-22.

Menstrual cycle can occur in fertile women. It is the scientific term for the physiological changes in human. It is under controlling of the endocrine system that is necessary for reproduction. It is commonly divided into three phases: the follicular phase, ovulation, and the luteal phase. Activin enhances Follicular Stimulating Hormone (FSH) biosynthesis and secretion. It participates in the regulation of menstrual cycle. In this study, we analyze a mathematical model of the human menstrual cycle. The equilibrium point of the model and its stability are shown. Numerical solutions are shown to support the theoretical predictions.

6 illus, 15 ref

012539   Mirumbe G I;Ssembatya V A;Mango J M (Mathematics Dep, Makerere Univ, P O Box 7062 Kampala, Uganda, Email: mirumbe@math.mak.ac.ug) : On the existence of fundamental sollutions for ordinary differntial equations with polynomial coefficients. Far East J mathl Sci 2014, 85(1), 47-65.

Given a general linear differential operator with constant coefficients defined in R^{n denoted by P(D), Bernstein [1] proved that there exists a fundamental solution in the space of generalized functions and clarified that the fundamental solutions coincide with the cone constructed by Hormander [2]. Kythe [4] proved that there exists a fundamental solution of P in a more general setting when he addressed the problem of division in a variety of contexts, Struppa [7]. On the real line (Rn : n = 1), the existence of fundamental solutions to ordinary differential operators with polynomial coefficients is not guaranteed. However, their existence can be proved for certain specific differential operators. In this paper, we prove an existence theorem for fundamental solutions of the special case of ordinary differential equations with polynomial coefficients whose degree of the leading polynomial coefficient does not exceed the order of the differential operator.}

7 ref

012538   Li Z (NO, College of Mathematics and Information Science, Qujing Normal Univ, Qujing, Yunnan-655 011, Email: lizitian88@163.com) : New localized excitations and cross like fractal structures to the (2+1) dimensional Broer Kaup system. Pramana J Phys 2014, 83(3), 293-300.

A broad general variable separation solution with two arbitrary lower-dimensional functions of the (2+l)-dimensional Broer-Kaup (BK) equations was derived by means of a projec-tive equation method and a variable separation hypothesis. Based on the derived variable separation excitation, some new special types of localized solutions such as oscillating solitons, instanton-like and cross-like fractal structures are revealed by selecting appropriate functions of the general variable separation solution.

5 illus, 23 ref

012537   Lee J G;Jang C (Mathematics and Information Statitics Div, Wonkwang Univ, Iksan 570-749, Korea, Email: jukolee@wku.ac.kr) : On convergence properties of the generalized Choquet integral with respect to a fuzzy measure by means of the generalized Lebesgue integral. Far East J mathl Sci 2014, 84(2), 169-85.

In this paper, we consider the generalized Lebesgue integral based on a pseudo-multiplication studied by Zhang-Mesiar-Li-Struk in 2011, and define the generalized Choquet integral with respect to a fuzzy measure by means of the generalized Lebesgue integral based on a pseudo-addition and a pseudo-multiplication. We investigate some characterizations and convergence properties of the generalized Choquet integral on the space of non-negative measurable functions.

13 ref

012536   Lane J (NO, Winston-Salem State Univ, Winston-Salem, NC, U.S.A., Email: laneje@wssu.edu) : Stability of n-dimensional degenerate parabolic partial differential equations. Far East J mathl Sci 2014, 84(2), 255-62.

In this paper, a theorem on the stability of solutions for n-dimensional linear degenerate parabolic partial differential equations is presented. We also apply this theorem to a general partial differential equation for financial derivatives to show stability of the solutions.

1 ref

012535   Kusnanto A;Edisusanto B;Bakhtiar T (Mathematics Dep, Bogor Agricultural Univ, Ji Raya Darmaga Bogor 16880 Jawa Barat, Indonesia, Email: alikusnanto@yahoo.com) : Pendulum system with elevated track: length of pendulum with minimum tracking error. Far East J mathl Sci 2014, 85(1), 35-45.

This paper studies an optimization problem, i.e., the optimal tracking error control problem, on an inverted pendulum model with elevated track. We characterize the minimum tracking error in term of pendulum's parameters. Particularly, we derive the closed-form expression for the pendulum length which gives minimum error. It is shown that the minimum error can always be accomplished as long as the ratio between the mass of the pendulum and that of the cart satisfies a certain constancy, regardless the type of material we use for the pendulum.

4 illus, 14 ref

012534   Kouznetsov D (NO, Univ of Electro Communication 1-5-1 Chofugaoka, Chofu Tokyo 182-8585, Japan, Email: dima@ils.uec.ac.jp) : Super sin. Far East J mathl Sci 2014, 85(2), 219-38.

Iterates of function sin are considered. The superfunction SuSin is constructed as holomorphic solution of the transfer equation sin(SuSin(z)) = SuSin(z + 1). The Abel function AuSin is constructed as solution of the Abel equation AuSin(sin(z)) = AuSin(z) + 1; in wide range of values z, the relation SuSin(AuSin(z)) = z holds. Iteration of sin is expressed with sin^{n(z) = SuSin(n + AuSin(z)), where the number n of iteration has no need to be integer. The efficient algorithms for evaluation of functions SuSin and AuSin are suggested and implemented as complex double routines in C++. Complex maps of these functions are supplied.}

6 illus, 22 ref

012533   Kim Y K;Min W K;Kim M H (Mathematics Dep, MyongJi Univ, Yongin-449-728) : On fuzzy weakly r-M β-continuous mappings. Far East J mathl Sci 2014, 85(1), 99-112.

Introduced the concept of fuzzy weakly r-M β-continuous mapping and some basic properties. Also investigate characterizations of such mappings in terms of fuzzy r-minimal interior and fuzzy r-minimal closure operators on a fuzzy r-minimal space.

9 ref

012532   Kim Y K;Min W K (Mathematics Dep, MyongJi Univ, Youngin 449-728, Korea, Email: ykkim@mju.ac.kr) : Remarks on preserving functions between monotonic operations. Far East J mathl Sci 2014, 84(2), 137-47.

The purpose of this paper is to introduce the several types of preserving functions between monotonic operations and investigate some properties for such types. In particular, we investigate some properties for many types of preserving functions between enlarging operations on τ-structures.

6 ref

012531   Khongtham Y (NO, Faculty of Science Maejo Univ, Chiang Mai 50290, Thailand, Email: yaowa.k@mju.ac.th) : Iterative scheme for mixed equilibrium problems, fixed point problems and variational inequality problems of a countable family of k-strict pseudo-contractions. Far East J mathl Sci 2014, 85(2), 239-54.

In this paper, authors introduce an iterative scheme for finding a common solution of mixed equilibrium problems, fixed point problems and variational inequality problems of a countable family of k-strict pseudo-contractions in the framework Hilbert spaces. We prove a strong convergence theorem of the proposed scheme. The results presented in this paper improve and extend the corresponding results announced by many others.

14 ref

012530   Kaewumpai S;Luadsong A (Mathematics Dep, Faculty of Science, King Mongkut's Univ of Technology Thonburi (KMUTT, 126 Pracha-utid Road, Bangmod, Toongkru Bangkok 10140, Thailand, Email: anirut.lua@kmutt.ac.th) : Meshless method based on radial point interpolation with two field variables for solving thin plate problems. Far East J mathl Sci 2014, 85(1), 67-85.

The present work aims to conduct a further development of meshless method for solving thin plate problems under various loads. The deflection of plates is approximated by the radial point interpolation method which holds the Kronecker's delta property, thereby enhancing the nodal shape construction accuracy. Two field variables local weak form using the Heaviside step function is adapted to discrete a couple of governing equations as well as impose straightforward the simply supported boundary condition, and no special treatment techniques are required. Selected numerical examples using nodal arrangement options as well as polynomial basis choices are considered to demonstrate the applicability, the easiness, and the accuracy of the proposed method. This robust method gives quite accurate numerical results, implementing by maximum relative error and root mean square relative error.

13 illus, 22 ref

012529   Jiann-Fu L (Management Information System Dep, Takming Univ of Science and Technology, No. 56, Sec. 1, HuanShan Rd. NeiHu, 11451, Taipei, Taiwan, Email: alfu@takming.edu.tw) : Two-leveled approach for multiprocessor tasks assignment in a distributed computing environment. Far East J mathl Sci 2014, 85(2), 207-17.

This paper investigates an off-line problem related to non-preemptively scheduling independent multiprocessor tasks in a distributed computing environment with several machines. In this scheduling environment, each machine contains several identical processors and each multiprocessor task is restricted to being processed on a single machine by a given number of processors. The problem of generating a schedule with minimum makespan is NP-complete. Based on the concepts of divided-and-conquered technique and largest processing time (LPT) first scheduling policy, a scheduling algorithm embedded with an assignment strategy is proposed. To evaluate the scheduling algorithm, the performance bound is derived and some cases are discussed.

10 ref

012528   Jaharuddin (Mathematics Dep, Bogor Agricultural Univ, Jalan Meranti, Kampus IPB Dramaga Bogor 16680, Indonesia, Email: jaharipb@yahoo.com) : Homotopy perturbation method for a Seir model with varying total population size. Far East J mathl Sci 2014, 84(2), 187-98.

We consider a SE1R model with varying total population size. We find the analytical solution of the proposed model by homotopy perturbation method which is one of the best methods for finding the solution of the nonlinear problem. By using this method, we solve the problem analytically and then compare the numerical result with other standard methods. We also justify the numerical simulation and their results. The comparison reveals that our approximate solutions are in very good agreement with those by numerical method. Moreover, the* results show that the proposed method is a more reliable, efficient and convenient one for solving the nonlinear differential equations.

2 tables, 10 ref

012527   Guayjarernpanishk P (Faculty of Applied Science and Engineering Nong Khai Campus, Khon Kaen Univ, Nong Khai, Thailand, Email: pannarat7881123@gmail.com) : Fractional sampling plan for continuous production line. Far East J mathl Sci 2014, 84(2), 199-217.

This paper presents the CSP-F-L for the concept of a fractional sampling plan that has been developed from the continuous sampling plan modified MLP-T-2. The parameters used in CSP-F-L are i (the clearance number), k (the number of conforming units to be found in the sampling inspection level 1), f₁ (the specified sampling frequency at level 1) and f₂ (the specified sampling frequency at level 2). Four performance measure formulas were developed, namely average fraction inspected (AFI), average fraction of total produced accepted on sampling basis (Pa(p)), average outgoing quality (AOQ) and average outgoing quality limit (AOQL). The accuracy of these formulas has been tested by extensive simulations and the AF1 values from the two plans were compared.

3 illus, 4 tables, 15 ref

012526   Chuarkham K (NO, Faculty of Commerce and Mangement Prince of Songkla Univ, Trang Campus 92000, Thailand, Email: ckhanchit@hotmail.com) : Finite-time ruin probability in the discrete time surplus process with exponential claim under reinsurance. Far East J mathl Sci 2014, 85(2), 177-91.

In this paper, authors study the discrete-time surplus process with exponential claims under the condition that the claims can be controlled by reinsurance. The objective is to find the direct derivation of finite-time ruin probability and finally the paper concludes with some examples from the main results.

5 tables, 10 ref

012525   Charoenpanitseri W (Mathematics Dep, Faculty of Information Technology Rangsit Univ, Pathumthani, 12000, Thailand, Email: wongsakorn.c@rsu.ac.th) : On (k, t)-edge-choosability of graphs. Far East J mathl Sci 2014, 85(2), 193-205.

A (k, t) -edge-list assignment of a graph G is a mapping which assigns a set of size k to each edge of G and |∪_e∈E(G) L(e)| = t. A graph G is (k, t) -edge-choosable if G has a proper edge-coloring/such that f(e) ∈ L(e) for every edge e and every (k, t) -edge-list assignment L. We consider t in terms of k and |E(G)| that confirms a graph G is (k, t) -edge-choosable.

3 illus, 25 ref

012524   Bachtiar A A;Riminarsih D;Satria Y (Mathematics Dep, Indonesia Univ, Indonesia) : Review on quasiPAS flow. Far East J mathl Sci 2014, 85(1), 87-97.

In this work, we revisited the QuasiPAS flow. This flow was originally proposed by Bachtiar [1]. He proposed this flow in order to provide more evidence on the existence of planar velocity dynamos. According to Bachtiar [1], there is no dynamo using the planarized version of QuasiPAS, but he found some new dynamos in the partly-planarized one. Using various parameters, we show that the planarization of poloidal part is more important than toroidal part. Our results show that the magnetic field's profile improves when we decrease the portion of planarized-toroidal part. We also calculate the helicity of QuasiPAS flow and compare it with the original PAS.

4 tables, 9 ref

012523   Arvind V (NO, The Institute of Mathematical Sciences, CIT Campus, Chennai-600 113, Email: arvind@imsc.res.in) : Normal numbers and algorithmic randomness: a historical sketch. Curr Sci 2014, 106(12), 1687-92.

What does it mean to say that a fixed infinite string is random? In this article we will attempt to trace the history of this question and the fundamental role of computability theory in our understanding of randomness. In particular, we will describe Turing's observations on the notion of normal numbers and their construction and how that connects up with algorithmic randomness.

17 ref

012522   Aljuaid M F;Muthana N M (Mathemetics and Statistic Dep, Taif Univ, Taif Saudi Arabia, Email: m000o000@hotmail.com ) : θ centralizers of semiprime rings with involution. Far East J mathl Sci 2014, 85(1), 113-28.

In the present paper, authors proved some results concerning θ-centralizers of semiprime rings with involution and rings without zero divisors.

12 ref

012521   Agrawal M (Computer Science and Engineering Dep, Indian Institute of Technology Kanpur, Kanpur-208 016, Email: maindra@iitk.ac.in) : Brief history of polynomial identity testing. Curr Sci 2014, 106(12), 1693-5.

Polynomial identity testing is the problem of deciding if a given (multivariate) polynomial is identically zero. Over the past decade, connections of this problem with a fundamental issue of complexity theory have been discovered and so the problem has attracted a lot of attention. In this article, we provide a brief history of the problem and its current status.

1 illus, 16 ref

011454   Yanti I;Suryanto A (Mathematics Dep, Brawijaya Univ, Jl. Veteran Malang 65145, Indonesia, Email: suryanto@ub.ac.id) : Stability analysis of nonstandard finite difference discretization of SIR epidemic model with non-monotone incidence rate. Far East J mathl Sci 2014, 86(2), 149-64.

Conservative nonstandard finite difference (CNSFD) scheme for a SIR epidemic model with non-monotonic incidence rate is constructed by approximating the first order derivative with the generalization of forward scheme and applying a nonlocal approximation for other terms. The denominator function for the generalization of forward scheme is derived using the exact conservation law of SIR epidemic model. It is shown analytically and numerically that the proposed CNSFD scheme preserves the conservation law, positivity conditic and the same equilibrium points and their stability properties as those of the associated continuous SIR model, irrespective of step sizes.

4 illus, 18 ref

011453   Takemura K (Liberal Arts and Basic Sciences, College of Industrial Technology, Nihon Univ, 2-11-1 Shinei, Narashino 275-8576, Japan, Email: takemura.kazuo@nihon-u.ac.jp) : Best constants of discrete Sobolev inequalities on mobius ladder. Far East J mathl Sci 2014, 86(2), 233-48.

Two types of discrete Sobolev inequalities, corresponding to a Laplacian matrix on the Mobius ladder M_2N are obtained. The best constants, C₀(N', a) and C₀(N), are calculated by using a Green matrix and a pseudo Green matrix corresponding to the Laplacian matrix. In particular, the asymptotic behavior of C0 (N; a) as N → ∞ is obtained, that is, C₀(N; a) converges to 2/√(a + 2)(a + 6) + 2/√a(a + 4) as N → ∞.

3 ref

011452   Sreedevi E P;Sankaran P G;Dhanavanthan P (Statistics Dep, Pondicherry Central Univ, India) : A nonparametric test for independence of time to failure and cause of failure of currrent status competing risks data. Calcutta Statist Ass Bull 2012, 64(255-6), 167-79.

Competing risks data are common in medical research in which lifetime of individuals can be classified in terms of causes of failure. Current status censoring occurs, if patients (objects) in a study are observed only once at a random monitoring time and only the information whether the event of interest has occurred or not prior to the monitoring time is available. Such data arise frequently from cross sectional studies in demography, epidemiology and reliability studies. In the present paper, we study current status data with competing risks. Developed a non parametric test for independence of time to failure and cause of failure of current status competing risks data,. The asymptotic property of the test statistic is also discussed. Simulation studies and a real data example illustrate the practical utility of the procedure.

1 illus, 2 tables, 31 ref

011451   Sompong S;Muangchan S A;Rodjanadid B (Mathematics and Statistics Dep, Faculty of Science and Technology Sakon Nakhon Rajabhat Univ, Sakon Nakhon 47000, Thailand, Email: s_sanpinij@yahoo.com) : Separated and disconnected sets in biminimal structure spaces. Far East J mathl Sci 2014, 86(2), 183-95.

Purpose of this paper is to introduce the concept of separated sets, connected and disconnected sets in biminimal structure spaces. We obtain some fundamental properties of their sets. Moreover, we define connected and disconnected spaces and some properties of their spaces are obtained.

6 ref