024327   Tanti S (School of Business Sciences, Science and Technology Univ, Meghalaya, Email: shilpi.tanti@gmail.com) : Applications of stochastic models in analysis of real data for first birth interval. Arya Bhatta J Math Inf 2014, 6(1), 197-210.

Levels and trends of human fertility can be obtained from the descriptive study of the real data. But some inherent characteristics of this phenomenon namely fecundability, sterility, etc. can be estimated only by applying appropriate models to the real data. Here, an attempt has been made to explore the uses and importance of the stochastic models relating to human fertility through real data. In this study, different probabilistic models have been considered to estimate the parameters by applying them to the data of the First Birth Interval in different major states of India - 22 - obtained from National Family Health Survey - III.

1 illus, 11 tables, 11 ref

024326   Sy S (Mathematics Dep, Andalas Univ, Kampus Unand Limau Manis, Padang-25163, Indonesia, Email: syafrizalsy@gmail.com) : Tree-path size bipartite ramsey numbers. Far East J mathl Sci 2013, 76(1), 139-45.

For graphs G₁ and G₂, the size bipartite Ramsey number is the least natural number t such that any red-blue coloring on the edges of K_jxt necessarily forces a red G or a blue H as a subgraph. In this note, we determine the exact values of m₂(P_n, T_s) for all integers n, s ≥ 2, where P_n denotes a path on n vertices and T_s denotes a tree on s vertices.

10 ref

024325   Suma'inna (Mathematics Dep, Faculty of Sains and Technology, State Islamic Syarif Hidayatullah Jak, Indonesia, Email: suma.inna@uinjkt.ac.id) : Detection of cardiac abnormalities based on ECG pattern recognition using wavelet and artificial neural network. Far East J mathl Sci 2013, 76(1), 111-22.

In this paper, the detection of the cardiac abnormalities (abnormalities of heart's electrical activity) based on recognition of the ECG signal patterns uses two methods, Daubechies wavelet and Artificial Neural Network (ANN). The Daubechies wavelet method is used to reduce the capacity of data without losing the actual information, while ANN is used to recognize ECG patterns. Classified the ECG into normal and abnormal. Several experiments were made in training process, only 4 formulas that are used in the identification process. The best accuracy rate is 83% in the formula; input patterns = 240, hidden patterns = 160, output patterns = 3 and the lot of weight = 115200.

8 illus, 2 tables, 14 ref

024324   Solairaju A;John Robinson P;Rethina Kumar S (Mathematics Dep, Jamal Mohamed College, Tiruchirappalli, Email: solaijames7@gmail.com) : Analytic approach for internal valued intuitionistic fuzzy MAGDM using maximal entropy OWA weights. Int J appl Sci Engng Res 2014, 3(1), 220-31.

In this paper, the - 21 - Multiple Attribute Group Decision Making (MAGDM) problems is based on the attribute weights calculated from completely unknown information using the Maximal Entropy OWA weights. The interval-valued intuitionistic fuzzy ordered weighted averaging (IIFOWA) operator is utilized to aggregate all individual interval-valued intuitionistic fuzzy decision matrices provided by the decision-makers into the collective interval-valued intuitionistic fuzzy decision matrix, and then we use the obtained attribute weights and the interval-valued intuitionistic fuzzy hybrid averaging (IIFHA) operator to fuse the interval-valued intuitionistic fuzzy information in the collective interval-valued intuitionistic fuzzy decision matrix to get the overall interval valued intuitionistic fuzzy values of alternatives, and then rank the alternatives according to the correlation coefficients between the Interval Valued Intuitionistic Fuzzy Numbers (IVIFNs) and select the most desirable alternative.

24 ref

024323   Sanjay Kumar;Anil Kumar;Sunil Kumar;Aggarwal N K (Mathematics Dep, K.L.P. College, Rewari) : Optimum ordering interval for deteriorating items with selling price dependent demand and random deterioration. Arya Bhatta J Math Inf 2014, 6(1), 165-8.

In this paper authors have developed an inventory model for obtaining optimum cycle length by minimizing the total cost per unit time under usual assumptions. The demand is taken as a function of selling price and a special form of two parameter Weibull function considered by Covert and Philip (6) is taken as deterioration rate. The results obtained in this paper reduces to well known result by choosing appropriate values of the parameter.

9 ref

024322   Ritha W;Antonitte Vinoline I (Mathematics Dep, Holy Cross College, Tiruchirapalli-620 002, Email: ritha_prakash@yahoo.com) : Environmentally responsible repair and waste disposal inventory models. Arya Bhatta J Math Inf 2014, 6(1), 1-8.

Traditional inventory models involve different decisions that attempt to optimize material lot sizes by minimizing total annual switching costs. However, the increasing concern on environmental issues stresses the need to treat inventory management decisions as a whole, by integrating economic and environmental objectives. Recent studies have underlined the need to incorporate additional criteria in traditional inventory models in order to design "responsible inventory systems". This paper explores the problem of determining the optimal batch sizes for production and recovery in an EOQ (economic order/production quantity) repair and waste disposal model context. This paper assumes that a first shop is manufacturing new products as well as repairing products used by a second shop. The used products can either be stored in the second shop and then be brought back to the first shop in an approach used to reduce inventory costs, or be disposed outside the system. The works available in the literature assumed a general time interval and ignored the very first time interval where no repair runs are performed. This assumption resulted in an over estimation of the average inventory level and subsequently the holding cost. These works also have not accounted for switching costs when alternating between production and recovery runs, which are common when switching among products or jobs in a manufacturing facility. This paper addresses these two limitations. Mathematical models are developed with numerical examples presented and results discussed.

21 ref

024321   Rameshkumar A;Palanikumar R;Deepa S (Mathematics Dep, Srimad Andavan Arts and Science College, T.V. Kovil, Trichy-620 005, Email: rameshmaths@ymail.com) : Laplacian matrix in algebric graph theory. Arya Bhatta J Math Inf 2014, 6(1), 65-76.

In this paper authors turn to the spectral decomposition of the Laplacian matrix. They show how the elements of the spectral matrix for the Laplacian can be used to construct symmetric polynomials that are permutation invariants. The coefficients of these polynomials can be used as graph features which can be encoded in a vectorial manner. We extend this representation to graphs in which there are unary attributes on the nodes and binary attributes on the edges by using the spectral decomposition of a Hermitian property matrix that can be viewed as a complex analogue of the Laplacian.

3 illus, 1 table, 13 ref

024320   Park J S (Mathematics Education Dep, Chinju National Education Univ, Jinju-660 756, Korea, Email: parkjs@cue.ac.kr) : Some common fixed point theorems for the weakly commuting maps on intuitionistic fuzzy metric space. Far East J mathl Sci 2013, 76(1), 97-104.

Defined k-weakly commuting maps of type (A_f), type (A_g) and type(P), and prove common fixed point theorems for the k-weakly commuting maps of these types on intuitionistic fuzzy metric space.

6 ref

024319   Padmavathi N;Rizwan S M;Pal A;Taneja G (Mathematics & Statistics Dep, Caledonian College of Engineering, Sultanate of Oman, Email: drgtaneja@gmail.com) : Probabilistic analysis of a seven unit desalination plant with minor/major failures and priority given to repair over maintenance. Arya Bhatta J Math Inf 2014, 6(1), 219-30.

Desalination is a water treatment process that removes the salt from sea water or brackish water. Multi stage flash desalination process is used for sea water purification. The desalination plant operates round the clock and during the normal operation; six of the seven evaporators are in operation for water production while one evaporator is always under scheduled maintenance and used as standby. The paper presents a probabilistic analysis of the plant with two failure categories viz. minor and major and priority being given to repair over maintenance. The complete plant is shut down for about one month during winter season for annual maintenance. The water supply during shutdown period is maintained through ground water and storage system. Any major failure or annual maintenance brings the evaporator/plant to a complete halt and the plant goes under forced outage state. For the current analysis, seven years failure data have been extracted from the operations and maintenance department of the plant located in Oman. Various measures of the plant effectiveness have been obtained probabilistically. Semi-Markov processes and regenerative point techniques are used in the entire analysis.

5 illus, 7 ref

024318   Nirmala G;Vanitha N (NO, Kunthavai Naachiyaar Govt. Arts College for Women, Thanjavur-613 007, Email: nirmalamanokar11@yahoo.com) : Risk analysis of river-type hydro-power plants. Arya Bhatta J Math Inf 2014, 6(1), 9-14.

Hydropower has been the major source of energy generation for Albania. Eleven classes of risk factors were determined based on the expert interviews, field studies and literature review as follows: sitegeology, landuse, environmental acceptance, financial issues, grid connection, social natural hazards, political/regulatory changes, terrorism, access to infrastructure and revenue. Financial analysis was conducted in eight hydropower plant scheme project in Albania to look at the financial sustainability of the project. The risk rose from the variability of the interest rate, electricity tariff and degree of utilization and pointed out some important issues and gave an enormous help in spotting the possible problems that the project may face which in turn, have an adverse impact on the financial feasibility. Various measures must be taken to reduce the exposure to these risks and to help future projects into a better and more improved project design.

6 tables, 10 ref

024317   Nirmala G;Suvitha G (P.G. & Research Mathematics Dep, K.N.G. Arts College for Women, Thanjavur-613 007, Email: nirmalmanohar11@yahoo.com) : Implication relations in fuzzy propositions. Arya Bhatta J Math Inf 2014, 6(1), 97-102.

In crisp logic, the truth values acquired by propositions or predicates are 2-valued, namely, True, False which may be to equivalent {0,1}. But in fuzzy the truth values are multi-valued such as absolutely true, partially true, very true, absolutely false, and so on and are numerically equivalent to [0-1]. This work gives an idea of the logic that put forward the inference rules - Modus Ponens, Modus Tallens, Chain Rule and IF THEN rules and its compositional rule of inference.

4 tables, 14 ref

024316   Nirmala G;Ramprasad D (PG and Research Mathematics Dep, K.N.G. Arts College for Women, Thanjavur, Tamil Nadu, Email: nirmalamanokar11@yahoo.com) : Genetic algorithm with topology to solve minimizing waiting time of ALBP. Arya Bhatta J Math Inf 2014, 6(1), 169-74.

Assembly line balancing problem (ALBP) is a well-known combinatorial optimization problem in production and operations management area. Due to the NP-hard nature of the ALBP, many attempts have been made to solve the problem efficiently. In this study, Genetic algorithm (GA) is adopted to solve the ALBP with the objective of minimizing the waiting time in the workstation. The key issue in solving ALBP is how to generate a feasible task sequence which does not violate the precedence constraints. This task sequencing is a vital work to be solved prior assigning tasks to workstation. In order to generate only feasible solution, a repairing strategy is integrated in the GA procedure. The computational result shows that the proposed approach is capable to obtain feasible solution with minimum waiting time for a simple model assembly line.

2 illus, 2 tables, 10 ref

024315   Nirmala G;Anju R (PG & Research, Mathematics Dep, K.N.G. Arts College for Women (Autonomous), Thanjavur-613 007, Email: Nirmalamanokar11@yahoo.com) : Application of fussy quantifier in sequencing problem with fuzzy ranking method. Arya Bhatta J Math Inf 2014, 6(1), 45-52.

Time paper presents a sequencing problem with the aid of triangular or trapezoidal fuzzy numbers. For finding the initial solution of this problem authors have preferred the fuzzy quantifier and ranking method, also the optimal solution(order) by using the method of processing n jobs through two machines has been carried out. The solution procedure is illustrated with numerical example.

2 illus, 6 tables, 10 ref

024314   Mittal M;Singh T P;Gupta D (NO, M.M. Univ, Mullana) : Bi-objective criteria in two machines scheduling problem with fuzzy due date. Arya Bhatta J Math Inf 2014, 6(1), 191-6.

Study investigates a different approach to nx2 flow shop scheduling problem under fuzzy environment with bi-objective criteria. On one side to minimize the tardiness of jobs and on the other side to find the satisfaction level of demand maker with the help of fuzzy due date to each job. The membership function of fuzzy due time assigned to each job shows the satisfaction level of demand maker. The analysis has been made through heuristic algorithm as well as graphically. The study may be helpful for a company of huge demand of market since a check can be applied on early expiry of jobs, storage problem etc.

5 illus, 5 tables, 10 ref

024313   Miglani E S;Sharma E S;Singh T P (CSE, Yamuna Institute of Engg. & Technology, Gadholi, Yamunanagar, Haryana, Email: silky.cse@gmail.com) : Comparative study of CPU scheduling algorithms for real-time operating system in uncertainty. Arya Bhatta J Math Inf 2014, 6(1), 149-58.

Real-Time scheduling characteristics most nearly concerned with uncertainty; the execution or burst time of tasks and the umbrella category of real time constraints under which dead line, ready time, and task period fall. The most obvious place to introduce fuzzy concepts for modelling uncertainty in scheduling is with a task execution time. With this intent, the objective of present paper is to measure the performance of different CPU scheduling policies in fuzzy environment. The simulator designed accesses the performance of Round Robin, Priority (both pre-emptive and non pre-emptive) scheduling policies in terms of average waiting time and average turnaround time for a number of processes in uncertainty. In Round Robin and Priority CPU Scheduling algorithm, the main concern is with the uncertainty in Burst Time and the increased waiting time and turnaround time. The decision for these is usually based on parameters which are assumed to be precised. However, in many cases, the values of these parameters are vague and imprecise rather than stochastic. Hence, considered fuzzy in nature. Ready queue is maintained in FCFS queue discipline.

5 illus, 10 tables, 12 ref

024312   Li J;Bai B (NO, School of Statistics, Xi'an Finance and Economics Univ, Xi'an-710 100, P.R. China, Email: Jiaoruili@xaufe.edu.cn) : Nonlinear analysis of bertrand triopoly game with heterogeneous players. Far East J mathl Sci 2013, 76(1), 45-59.

In this paper, a nonlinear triopoly game based on Bertrand model with V heterogeneous players is established. We consider three types of players: naive, boundedly rational and adaptive. The stability of the discrete dynamical system is analyzed. Numerical simulations show that the motion of the discrete system is chaotic. The time delayed feedback control method is used to control chaos of the system.

10 illus, 13 ref

024311   Lakshmi S;Durgadevi N (NO, Government Arts and Science College, Peravurani-614 804, Email: ndurga2013@gmail.com) : Multi-variate model for the combined propranolol/TSST paradigm. Arya Bhatta J Math Inf 2014, 6(1), 103-8.

Sampling distribution of many (multivariate) statistics are normal, regardless of the parent distribution (Multivariate central limit theorems). Thus, for large sample sizes, we may be able to make use of results from the multivariate normal distribution to answer our statistical questions, even when the parent distribution is not multivariate normal. The mathematical results have been obtained by using bivariate normal distribution for the combined propranolol/TSST Paradigm and with the comparison of three cases namely cortisol and stress; amylase and heart rate; systolic and diastolic Hood pressures. These are all well explained in mathematical figures of section 3.

6 illus, 13 ref

024310   Kim G H;Yang-Hi L (Applied Mathematics Dep, Kangnam Univ, Youngin, Gyeonggi-446 702, Korea, Email: ghkim@kangnam.ac.kr ) : Stability of the cauchy additive and quadratic type functional equation in non-archimedean normed spaces. Far East J mathl Sci 2013, 76(1), 147-57.

In this paper, authors investigate the stability for the functional equation f(x + y) + f(x -y)- 2f(x) ~ - 17 - f(y) - f(-y) = 0 in the sense of Moslehian and Rassias.

14 ref

024309   Kim C I;Shin C H (Mathematics Education Dep, Dankook Univ, Yongin-448 701, Korea, Email: kci206@hanmail.net) : Hyers-ulam stability of zeros of polynomial equations. Far East J mathl Sci 2013, 76(1), 81-7.

11 ref

024308   Kaliraman N K;Ritu Raj;Chandra S;Chaudhary H (NO, Centre for Mathematical Sciences, Banasthali Univ, P.O. Banasthali Vidyapith, Banasthali-304 022, Email: dr.nareshkumar123@gmail.com) : Integrated imperfect production process with exponential demand rate. Arya Bhatta J Math Inf 2014, 6(1), 175-90.

This paper is developed a three layer supply chain production-inventory model for supplier, producer and retailer. The model speculates exponential demand and production rate for all member of three-layer supply chain. The model deliberates the effect of commercial policies such as exponential demand rate; production rate is demand dependent, perfect order size of raw material, unit manufacturing price and idle times in assorted sectors on integrating marketing framework. The basic assumption of the model is that manufacturing items are of perfect and imperfect quality. This technique used in different types of production industries like electrical and electronics, paper, pharmaceutical, automobiles etc. Mathematical modeling is used to derive the production rate and order size of raw material for maximum total profit of supply chain. A numerical example including the sensitivity analysis is validated to the outcomes of the production-inventory model.

4 illus, 1 table, 27 ref

024307   Jeganathan K (Mathematics Dep, Alagappa Univ, Karaikudi-630 004, Email: jegan.nathan85@yahoo.com) : Two commodity perishable inventory system with negative and impatient customers, postponed demands and a finite population. Int J appl Sci Engng Res 2014, 3(1), 265-80.

In this article, authors consider a stochastic inventory system with two different items in stock, one is major item (first commodity) and other is gift item (second commodity), and the demands originate from a finite population of N sources. The maximum storage capacity for the i-th commodity is Si (i=1, 2) time points of demand occurrences form independent quasi random distributions. The second commodity is supplied as a gift whenever the demand occurs for the first commodity, but no major item (first commodity) is provided as a gift for demanding a second commodity. The items are perishable in nature. If the inventory position of first commodity is zero then any arriving demand for the first commodity either enters a pool or leaves the system according to a Bernoulli trial. The system has been identified as a Markov process and the system performance measures are derived. The total expected cost rate is also considered and the results are illustrated numerically.

1 illus, 7 tables, 20 ref

024306   Jain S;Shakher C (Mathematical Sciences Dep, Government College, Ajmer, Email: drjainsanjay@gmail.com) : "Super collapse puzzle"- play and creating space. Arya Bhatta J Math Inf 2014, 6(1), 25-40.

Space is reconfigured through the participations of both gamers and the game, where game is understood as the programming and hardware of a game technology. Extending our understandings of the contributions of both gamer and game, the outcome of play emerges as the agencies of each are co-constituted. This space is recursive, based on feedback between the state of the game (relations between the objects) and the state of the gamer, which includes their knowledge, skill, mood and attention. The idea of recursive space is developed in two ways. First, as another means of describing a gamer's engagement with space, one that gives a greater account of the participation of technology. Secondly, it gives us a way of thinking about play as a process of creating space. - 16 -

34 ref

024305   Hari Kishan;Megha Rani;Deep Shikha (Mathematics Dep, D.N. College, Meerut) : Multi-items inventory model of deteriorating products with life time. Arya Bhatta J Math Inf 2014, 6(1), 87-96.

In this paper, the work of Mahapatra & Maiti has been extended by considering the more realistic assumption that the deterioration of the items starts after some time i.e. the concept of life time has been considered. The production starts from zero stock level and goes on upto the stock level Q_i at time μ when the deterioration starts. At this level the production is stopped and then stock level reduces due to demand and deterioration to stock level zero at time T_1i. The model has been developed in the case of shortages and without shortages.

2 illus, 10 ref

024304   Hamidi S G;Halim S A;Jahangiri J M (Institute of Mathematical Sciences, Faculty of Science, Malaya Univ, 50603 Kuala Lumpur, Malaysia, Email: s.hamidi_61@yahoo.com) : Starlikeness of classes of functions defined by convolution and subordination. Far East J mathl Sci 2013, 76(1), 199-204.

Certain classes of functions defined by convolution and subordination are considered. Necessary and sufficient containment conditions for these classes of functions are defined which in turn will lead to the starlikeness of such functions.

2 ref

024303   Giniswamy;Maheshwari P G (Mathematics Dep, PES College of Science, Arts and Commerce Mandya, Karnataka-571 401, Email: gswamypes@gmail.com) : Fixed point theorems on f-reciprocal continuity. Arya Bhatta J Math Inf 2014, 6(1), 109-14.

Study of common fixed points of different contractive mappings has concentrated around the continuous mappings for many years. However, in the last decade it has been shown that the study of common fixed points of mappings which are discontinuous at their fixed points is also fascinating. In this regard, we define f-reciprocal continuity, a generalization of continuity but independent of both reciprocal continuity and g-reciprocal continuity. Also, authors have proved some common fixed point theorems which are illustrated by suitable examples.

12 ref

024302   Garima;Yadav R;Seharawat A (NO, Indira Gandhi Univ, Rewari, Haryana, Email: cse.garima17@gmail.com) : Analysis of parsing techniques for disambiguation. Arya Bhatta J Math Inf 2014, 6(1), 145-8.

Word Sense Disambiguation is an open problem, which is an application of Natural Language Processing. These ambiguity are removed by many techniques such as MINION, Association rules etc. The main aim is to remove the ambiguity of a word in a given context of a sentence using parsing techniques (Top down parsing and Bottom up parsing). In this paper, we take a word which has two sentences and draw top down parsing and bottom up - 15 - parsing for these sentences, and showing the best technique where ambiguity of a word in a given context is removed. This paper provides simple and correct meaning of a word in a given context, i.e. disambiguated word.

2 illus, 7 ref

024301   Cho Y U (Mathematics Dep, College of Education Silla Univ, Pusan-617 736, Korea, Email: yucho@silla.ac.kr) : Monogenic D.G. (R,S)-groups. Far East J mathl Sci 2013, 76(1), 165-73.

Throughout this paper, authors denote R a near-ring and G an R-group. We initiate the study of R-substructures of G, representations of R on G, monogenic R-groups, faithful R-groups and monogenic D.G (R, S) -groups. Next, we investigate some properties of monogenic near-ring groups, faithful monogenic near-ring groups and monogenic D.G. (R, S) -groups.

6 ref

024300   Cho Y U (Mathematics Dep, College of Education, Silla Univ, Pusan-617 736, Korea, Email: yucho@silla.ac.kr) : On isomorphic property in Γ-near-rings. Far East J mathl Sci 2013, 76(1), 159-64.

Throughout this paper, authors are concerned with some concepts of near-rings and F-near-rings, and then we introduce some basic properties of F-near-rings and investigate the isomorphic theorem of F-near-rings.

6 ref

024299   Chasreechai S;Sitthiwirattham T (Mathematics Dep, Faculty of Applied Science, King Mongkut's Technology Univ, North Bangkok, Bangkok 10800, Thailand) : Matching and edge covering number on lexicographical product of cycles. Far East J mathl Sci 2013, 76(1), 105-10.

Let α(G) and β(G) be the matching and edge covering number, respectively. The lexicographical product G₁ . G₂ of graphs of G₁ and G₂ has vertex set V(G₁ . G₂) = V(G₁) x V(G₂) and edge set E(G₁ . G₂) = {(u₁v₁)(u₂v₂)|[u₁M₂ ∈ E(G₁)] ∪[U₁ = u₂ and v₁v₂ ∈ E(G₂)]}. In this paper, authors determine generalization of matching and edge covering number on lexicographical product of cycles and any simple graph.

2 illus, 5 ref

024298   Changphas T;Summaprab P (Mathematics Dep, Faculty of Science, Khon Kaen Univ, Khon Kaen 40002, Thailand, Email: thacha@kku.ac.th) : Regular ideal in ordered semigroups. Far East J mathl Sci 2013, 76(1), 61-9.

In this paper, the notion of regular ideal in an ordered semigroup is introduced and some radical-link properties similar to the Schwarz (nilpotent) radical are presented. The results obtained generalize the results on semigroups without order.

9 ref

024297   Chakrabarty D (Statistics Dep, Handique Girls' College, Guwahati-781 001, Email: dhritikesh.c@rediffmail.com) : Curve fitting: step-wise least squares method. Arya Bhatta J Math Inf 2014, 6(1), 15-24.

Method has been developed for fitting of a mathematical curve to numerical data based on the application of the least squares principle separately for each of the parameters associated to the curve. The method has been termed as - 14 - step-wise least squares method. In this paper, the method has been presented in the case of fitting of a polynomial curve to observed data.

2 tables, 13 ref

024296   Arul R;Raghupathi T J (Mathematics Dep, Kandaswami Kandar's College, Velur-638 182, Email: rarulkkc@gmail.com) : Existence of nonoscillatory solutions of nonlinear delay difference equations. Far East J mathl Sci 2013, 76(1), 71-80.

This paper deals with the existence of nonoscillatory solutions for the nonlinear delay difference equation of the form Δx(n) = p(n)x(n) - q(n)x(n)x(τ(n)), n ∈ N₀ using fixed point technique. Examples are provided to illustrate the main results.

14 ref

024295   Aramaki J (Science Div, Faculty of Science and Engineering, Tokyo Denki Univ, Hatoyama-Machi, Saitama 350-0394, Japan, Email: aramaki@mail.dendai.ac.jp) : Regularity of weak solutions for a quasilinear system in three-dimensional space associated with superconductivity. Far East J mathl Sci 2013, 76(1), 175-97.

In the previous paper (Aramaki [3]), we considered a semilinear system with general nonlinearity in a three-dimensional domain which arises in the mathematical theory of superconductivity. In the main theorem, we assumed that the domain is simply-connected and without holes, and the normal component of the curl of the boundary data vanishes. In this paper, we report that the conditions can be removed. This analysis deeply relies on the repent work of Lieberman and Pan [11].

16 ref

024294   Anil Kumar V;Mohanan T (Mathematics Dep, Calicut Univ, Malappuram-673 635, Email: anilashwin2003@yahoo.com) : Generalizations of transitive cayley digraphs induced by loops. Far East J mathl Sci 2013, 76(1), 25-44.

Let G be a - 13 - digraph, V and E denote the sets of vertices and edges of G, respectively. A digraph G is transitive if (u, v), (v, w) ∈ E implies (u, w) ∈ E; quasi-transitive if (u, v), (v, w) ∈ E implies (u, w) ∈ E or (w, u) ∈ E. A digraph G is k-transitive if whenever (X0, x₁, ..., x_k) is a directed path of length k, then (X0 XK) ∈ -E; k-quasi-transitive if whenever (X₀,x₁, ... x_k) is a directed path of length k, then (x₀, x_k) ∈ E or (x_k, x₀) ∈ E. Observe that k-transitive digraphs and k-quasi-transitive digraphs are generalizations of transitive digraphs and quasi-transitive digraphs, respectively. Let G be a loop and S be an R associative subset of G. Then the digraph Cay(G, S) = (G, E), where E is a subset of G x G such that (x, y) ∈ E if and only if y = xz for some z ∈ S is called the Cayley digraph induced by the loop G. Observe that Cay(G, S) can be viewed as a Cayley digraph over a weaker algebraic structure. In this paper, we prove the necessary and sufficient condition for Cay (G, S) to be k-transitive/k-quasi-transitive. We also introduce the generalizations of transitive/quasi-transitive/k-transitive/k-quasi-transitive Cayley digraphs and characterize those generalized transitive Cayley digraphs. These results can be considered as generalizations of those obtained in [12].

13 ref

024293   Aggarwal N K;Gupta C B;Sharma A K;Sanjay Kumar (Mathematics Dep, G S S S School, Bikaner, Rewari) : Economic order quantity model of items with two ware-houses and stock dependent consumption rate. Arya Bhatta J Math Inf 2014, 6(1), 77-86.

In this paper, authors have developed, an EOQ model for two ware houses taking different form of consumption rate, which depends on stock and shortages are not allowed, considering infinite rate of replenishment and transportation cost, dependent on the quantity to be transferred from RW to OW. Some additional replenishment cost incurred when L₂ system is used. This cost has been taken into account for the development of the model. Choosing appropriate value of the parameter, the developed model reduces to well known results. A numerical example is also provided at the end.

2 illus, 16 ref

023283   Zhang Z (NO, College of Global Change and Earth System Science, Beijing Normal Univ, Beijing-100 875, China, Email: zhangzh@bnu.edu.cn) : Average densities of frequency bands of wavelets. Indian J pure appl Math 2014, 45(2), 199-212.

A function is called a wavelet if its integral translations and dyadic dilations form an or-thonormal basis for L² (R). The support of the Fourier transform of a wavelet is called its frequency band. In this paper, we study the relation between diameters and measures of frequency bands of wavelets, precisely say, we study the ratio of the measure to the diameter. This reflects the average density of the frequency band of a wavelet. In particular, for multiresolution analysis (MRA) wavelets, we do further research. First, we discuss the relation between diameters and measures of frequency bands of scaling functions. Next, we discuss the relation between frequency bands of wavelets and the corresponding scaling functions. Finally, we give the precise estimate of the measure of frequency bands of wavelets. At the same time, we find that when the diameters of frequency bands tend to infinity, the average densities tend to zero.

8 ref

023282   Zhang C;Wang K (Mathematics Dep, Harbin Institute of Technnology, Weihai-264 209, P.R. China) : Parameter-dependent integral on time scales. Indian J pure appl Math 2014, 45(2), 139-63.

In this paper, author focus on the parameter-dependent integral on time scales. By combining multiple integration theory on time scales and usual parameter-dependent integration theory in classical mathematical analysis, both normal parameter-dependent integral on time scales and improper parameter-dependent integral on time scales are investigated efficiently. Many criteria for uniform convergence and important analytical properties are developed, respectively. Finally, a lot of examples are also presented to substantiate the theoretical results.

22 ref

023281   Youssef N L;Soleiman A;Elgendi S G (Mathematics Dep, Faculty of Science Cairo Univ, Giza, Egypt) : Nullity distributions associated to cartan connection. Indian J pure appl Math 2014, 45(2), 213-38.

The Klein-Grifone approach to global Finsler geometry is adopted. The nullity distributions of the three curvature tensors of Cartan connection are investigated. Nullity distributions concerning certain relevant special Finsler spaces are considered. Concrete examples are given whenever the situation needs.

16 ref

023280   Yamaleev R M (Joint Institute for Nuclear Research, Laboratory of Informational Technologies, Dubna, Russia, Email: yamaleev@jinr.ru) : Solutions of riccati-abel equation in terms of third order trigonometric functions. Indian J pure appl Math 2014, 45(2), 165-84.

Solutions of the generalized Riccati equations with third order nonlinearity, named as Riccati-Abel equation, are expressed via third order trigonometric functions. It is shown, as the ordinary Riccati equation, also the Riccati-Abel equation has a relationship with a linear differential equations. A summation formula for solutions of Riccati-Abel equation is established. Possible applications of this formula in the generalized dynamics is outlined. The method admits an extension to the case of generalized Riccati equations with any order of nonlinearity.

19 ref

023279   Wibowo I L;Widodo B (Mathematics Dep, Institut Teknologi Sepuluh Nopember Surabaya and Faculty of Science a, Indonesia, Email: inulaksitowibowo@yahoo.com) : Numerical simulation on calculating - 15 - volume sedimentation on two rivers confluences. Far East J mathl Sci 2013, 76(2), 223-33.

The process of sedimentation in streams can cause siltation of rivers resulting in the overflow of water to the surface. Sedimentation is occurred in huge quantity at the confluence of two rivers. Meanwhile, mathematical modeling using the meshless local Petrov-Galerkin (MLPG) is an alternative that can be used for this problem. Because it does not require mesh or grid in its solution domain. Therefore, it is very useful to moving issues such as sedimentation. To visualize the result, we apply Matlab software. From the numerical simulation, obtained that river streams will show that the speed of the river will increase the speed in the arc stream which can allow scour on the bow river. At the confluence, the velocity vector will increase and forming a vortex result of the convergence of two rivers vectors different directions. Thus, large-small lateral velocity has a great influence on the depth of the river, the flow velocity and height of sedimentation on the main river. In addition, mathematical modeling for the output stream sedimentation will be applied to construct a volume river sedimentation.

6 illus, 11 ref

023278   Thai T H;Khuong V V (Mathematics Dep, Hung Yen Technology and Education Univ, Hung Yen Province, Vietnam, Email: hongthai78@gmail.com) : Global asymptotic stability of a second-order system of difference equations. Indian J pure appl Math 2014, 45(2), 185-98.

8 ref

023277   Szabo S;Zavalnij B (Institute of Mathematics and Informatics, Pecs Univ, Ifjusag u. 6 7624, Pecs, Hungary, Email: sszabo7@hotmail.com) : Coloring the edges of a directed graph. Indian J pure appl Math 2014, 45(2), 239-60.

Finding large cliques in a graph is an important problem in applied discrete mathematics. In directed graph a possible corresponding problem is finding large transitive subtourna-ments. It is well-known that coloring the graph speeds up the clique search in the undirected case. In this paper we propose coloring schemes to speed up the tournament search in the directed case. We prove two complexity results about the proposed colorings. A consequence of these results is that in practical computations we have to be content with approximate greedy coloring algorithms.

8 illus, 14 ref

023276   Subramanian N;Babu R;Thirunavukkarasu P (Mathematics Dep, SASTRA Univ, Thanjavur-613 401, Email: nsmaths@yahoo.com ) : Modular sequence space of {x<. Far East J mathl Sci 2013, 75(2), 201-23.

In this paper, authors introduce the modular sequence space of χ²_{f λ} and examine some general properties of this sequence space. Lindenstrauss and Tzafriri [5] used the idea of Orlicz function to define the sequence space ^l_M which is called an Orlicz sequence space. Another generalization of Orlicz sequence spaces is due to Woo [31]. They define the sequence spaces χ²_fλ, χ^2λ_g and χ²f_λ where f = (f_mn) and g = (g_mn) are sequences of modulus functions such that f_mn and g_mn are mutually complementary for each m, n.

42 ref

023275   Sontakke B R;Navlekar A A (Mathematics Dep, Pratishthan Mahavidyalaya, Paithan, Dist. Aurangabad, Maharashtra, Email: brsontakke@rediffmail.com) : On the steady state thermoelastic problem for a thin annular disc. Far East J mathl Sci 2013, 76(2), 235-43.

This paper is concerned with the direct steady state thermoelastic problem to determine the temperature, displacement and stress functions of a thin annular disc occupying the space D : a <≤ r ≤ b, -h ≤ z ≤ h with the stated boundary conditions. The finite Hankel transform technique has been used.

9 ref

023274   Sekar A;Seshaiah C V;Senthil Kumar D; Maheswari Naik P (Mathematics Dep, Sri Ramakrishna Engineering College, Vattamalaipalayam, Coimbatore-641 022, Email: sekar110@gmail.com ) : Weyl type theorem and spectrum for k-quasi-*-class A operators. Far East J mathl Sci 2013, 75(2), 273-93.

Lei T be a k-quasi-*-class A operator on a complex Hilbert space H if T*^k (| T² | - |T* |²)T^k ≥ 0, where k is a natural number. In this paper, we prove that the spectral mapping theorem for Weyl spectrum holds for k-quasi-*-class A operators. Also, we prove that the Weyl type theorems holds for k-quasi-*-class A. We also prove that if T* is k-quasi-*-class A, then generalized - 14 - a-Weyl's theorem holds for T. Also, we prove that σ _jp (T) - {0} = σ _ap(T) - {0} holds for k-quasi-*-class A operator.

30 ref

023273   Sato I (NO, Oyama National College of Technology, Oyama, Tochigi 323-0606, Japan, Email: isato@oyama-ct.ac.jp) : An extension of smilansky's formulato a digraph. Far East J mathl Sci 2013, 78(2), 157-80.

Recently, Smilansky [15] expressed some determinant on the bond scattering matrix of a graph by means of that of its Laplacian. We generalize Smilansky's formula to a digraph by using some weighted zeta function of a digraph. Furthermore, we present a weighted digraph version of Smilansky's formula by Bass' method used in the determinant expression for the Ihara zeta function of a graph.

18 ref

023272   Saaban A;Man N H;Karim S A A (NO, UUM College of Arts and Sciences, Utara Malaysia Univ, 06010 Sintok, Kedah, Malaysia, Email: azizan.s@uum.edu.my) : Surface interpolation using partial differential equation with positivity preserving Cubic Bezier curves boundary condition. Far East J mathl Sci 2013, 75(2), 257-72.

This paper proposes the sufficient conditions for positivity preserving cubic boundary curves defined on rectangular grid using a polynomial solution of fourth order linear PDEs in order to improve the positivity preserving of the interpolating surface. We derive a sufficient condition on boundary curves for each edge of bicubic rectangular Bezier patches where the lower bounds of edge Bezier ordinates are adjusted independently. By using two well-known test functions, our result shows that the proposed method is well performed in terms of preserving the positivity of the boundary curves and improves the positivity preserving of overall interpolating surfaces.

10 illus, 1 table, 11 ref

023271   Ryoo C S (Mathematics Dep, Hannam Univ, Daejeon-306 791, Korea) : Second kind twisted (h, q)-Euler polynomials. Far East J mathl Sci 2013, 75(2), 337-43.

Authors introduce and study the second kind twisted (h, q) -Euler numbers E_n,q,w^(h) and polynomials E_n,q,w^(h) (x).

6 ref

023270   Robbins N (Mathematics Dep, San Drancisco State University, San Francisco, CA 94132, U.S.A., Email: nrobbins@sfsu.edu) : On the partity of the number of partitions of n into parts of two distinct sizes. Far East J mathl Sci 2013, 78(2), 197-203.

If n is a natural number, let p(2,n) denote the number of partitions of n into parts of two distinct sizes. Author obtain formulas for the parity of p(2,n) when n is a power of a prime, and when n is squarefree. As a result, it is shown that the parity ofp(2,n) changes infinitely often as n tends to infinity.

3 ref

023269   Piramanantham V (Mathematics Dep, Bharathidasan Univ, Tiruchirappalli, Email: piramanantham@yahoo.co.in) : Kamenev type oscillation criteria for emden-fowler nonlinear neutral dynamic equations. Far East J mathl Sci 2013, 76(2), 337-54.

In this paper, the author establishes some new oscillation criteria for the second order Emden-Fowler nonlinear neutral delay dynamic equations on time scales using Schwarz's inequality. The results obtained here compliment and improve the existing results. Examples illustrating the main results are given.

16 ref