iosr-Jm   Volume-10 ~ Issue-6 ~ Nov-Dec 2014

Abstract: The water quality at a location is influenced other locations. Characteristics of groundwater quality in some locations were spatially auto correlated. Such as in Jakarta, Indonesia, if the water source in one location is polluted so can lead to polluted water sources at a different location which close together. This research was analyzing the content of inorganic compounds in Jakarta, Indonesia. The analysis was performed using spatial methods to obtain the relationship among locations of ground water quality.

[1] Kemenkes, Ministry of Health Open the Regional Meeting of the National Occupational Health Central. http://www.depkes.go.id/index.php/component/content/article/43-newsslider/2269-menkes-buka-rapat-kerja-kesehatan-nasional-regional-tengah.html (Accessed on 5 April, 2013), 2013
[2] Kemenkes, Indonesia Health Profile Data in 2011 (Jakarta : Kemenkes RI, 2012).
[3] H. Tanty, R. D. Bekti, T. Herlina, and Nurlelasari., MANOVA Statistical Analysis of Inorganic Compounds in Groundwater Indonesia, IOSR-JESTFT journal, 8 (4), 2014, 41-45.
[4] Metrotvnews, Raw Water Supply to Jakarta was Increasingly Polluted. http://www.metrotvnews.com/metronews/read/2013/03/15/5/138636/Pasokan-Air-Baku-ke-Jakarta-Makin-Tercemar, (Accessed on 5 April 2013), 2013.

Abstract: The feature of conditional communication in membrane computing has been introduced in symbol objects and arrays in [1], [4] and [16]. Pure context-free grammars have been introduced in [17]. In [18] this idea has been applied on array objects with an additional control on regular grammars. In this paper we use the conditional communication of membrane computing to pure 2D context free grammars and study the power of the system by comparing with the existing system.

[1] P. Bottoni, A. Labella, C. Martin-vide, Gh. Păun, "Rewriting P Systems with Conditional Communication." Lecture Notes in
Computer Science, Springer, Berlin, vol. 2300, 2002, 325353.
[2] R. Ceterchi, M. Mutyam, Gh. Păun, K.G. Subramanian, "Array - Rewriting P Systems." Natural Computing, vol. 2, 2003. 229249.
[3] Gh. Păun, Membrane Computing (An Introduction. Springer, 2002).
[4] S. Hemalatha, K.S. Derasanambika, K.G. Subramanian, C. Sri Hari Nagore, "Array-Rewriting P Systems with Conditional
Communication," Lecture Note Series, Ramanujan Mathematical Society, vol. 3,2006, 155160.
[5] K.G. Subramanian, R. Siromoney, V.R. Dare, A, Saoudi, "Basic Puzzle Languages," Int. Journal of Pattern Recognition and
Artificial Intelligence, vol. 9,1995. 763775.

Abstract: The fuzzy square graph G is G2 =( V,E(G2) ). A set D of G2 is said to be connected dominating set of G2 if every vertex not in D is adjacent to at least one vertex in D and the sub graph H = <D> is connected .The minimum cardinality of a connected dominating set of G2 is called the connected domination number of fuzzy square graph G2 and denoted by c (G2). In this paper, we introduce connected dominating numbers of fuzzy square graph and proves some important results related to connected dominating numbers of fuzzy square graphs.

[1] Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognition letter 6(1987), 297-302.
[2] J.N.Moderson and P.S.Nair, Fuzzy graphs and Fuzzy Hyper graphs, Physica verlag(2000).
[3] T.W.Haynes,S.T.Hedetniemi and P.J.Slater (Eds), Domination in graphs Advanced Topics,Marcel Dekkar inc,Newyork 1998.
[4] A.Rosenfeld, L.A.Zedeh.K.S.Fu.K.Tanaka.,M.Shimura(Eds), Fuzzy sets and their Application to cogenitive and Decision processes
Academic press, Newyork (1975) ,77-95.
[5] F.Harary(1972) ,Graph theory,Adisen-wesley Reading mass.

Abstract: The concept of edge rotations and distance between graphs was introduced by Gary Chartrand et.al [1].A graph G can be transformed into a graph H by an edge rotation if G contains distinct vertices u, v and w such uvE(G) and uwE(G) and H G  uv  uw. In this case, G is transformed into H by" rotating" the edge uv of G into uw. In this paper we consider rotations on generalized Petersen graphs and minimum selfcentered graphs. We have also developed algorithms to generate distance degree injective (DDI) graphs and almost distance degree injective (ADDI) graphs from cycles using the concept of rotations followed by some
general results.

[1] G. Chartrand, F. Saba and H. B. Zou, Edge rotations and distances in graphs, Casopis pro pestovani matematiky, 110(1), 1985, 87-91. [2] Medha Itagi Huilgol, H. B. Walikar and B. D. Acharya, On diameter three Distance Degree Regular Graphs, Advances and Application in Discrete Math,7(1), 2011, 39-61.

[3] Medha Itagi Huilgol, M. Rajeshwari and S. Syed Asif Ulla, Distance Degree Regular graphs and their eccentric digraphs, International Journal of Math. Sci and Eng. Appln., 5(VI),2011, 405-416

. [4] Medha Itagi Huilgol, M. Rajeshwari and S. Syed Asif Ulla, Products of DDR and DDI graphs, Journal of Discrete Mathematical Sciences and Cryptography,15(4:5),2012, 303-314.

[5] G. Brinkmann, Fast Generation of cubic graphs ,Journal of Graph Theory, 23(2),1996, 139-149.

Abstract: In this paper, we introduce a generalisation of the Banach contraction mapping for fixed point theorem in complete metric space. The results presented in this paper substantially improve and extend the result due to Dutta and Choudhary we support our result by example.

[1]. D.W. Boyd and J. S. W. Wong, "On nonlinear contractions," Proceedings of the American Mathematical Society, vol. 20, no. 2, pp.
458-464, 1969.
[2]. A. D. Arvanitakis, " A proof of the generalized Banach contraction conjecture," Proceedings of the American Mathematical
Society, vol. 131, no. 12, pp. 3647-3656, 2003.
[3]. J. Merryfield, B. Rothschild, and J. D. Stein Jr., " An application of Ramsey's theorem to the Banach contraction conjecture, "
Proceedings of the American Mathematical Society, vol. 130, no. 4, pp. 927-933, 2002.
[4]. T. Suzuki, " A generalized Banach contraction principle that characterizes metric completeness," Proceedings of the American
Mathematical Society, vol. 136, no. 5, pp. 1861-1869, 2008.
[5]. O. Hadzic and E. Pap, Fixed point Theory in Probabilistic Metric Spaces, vol. 536 of Mathematics and Its Applications, Kluwer
Academic Publishers, Dordrecht, The Netherlands, 2001.

Abstract: In this paper we presents some theorems in 2 Banach spaces. Mathematics subject classification: 47H10, 54H25.

[1]. Ahmad, and Shakil, M. "Some fixed point theorems in Banach spaces" Nonlinear Funct.Anal. & Appl. 11 (2006) 343-349.

[2]. Banach, S. "Surles operation dans les ensembles abstraits et leur application aux equations integrals" Fund. Math.3 (1922) 133-181. [3]. Badshah, V.H. and Gupta, O.P. "Fixed point theorems in Banach and 2-Banach spaces" Jnanabha 35 (2005) 73-78.

[4]. Gahlar, S. "2-metrche raume and ihre topologiscche structure" Math.Nadh.26 (1963-64) 115-148.

[5]. Verma, B.P. "Application of Banach fixed point theorem to solve non linear equations and its generalization" Jnanabha 36 (2006) 21-23.

Abstract: The Euler-Bernoulli model of flexible beam robots is a four-dimensional under-determined partial differential equation, related to define the unique link's deflection of this type of robots. In this paper, Lie point symmetries of the equation have been investigated by a Lie group method. Then, reductions of the Euler-Bernoulli equation to ordinary equations have been obtained by repeat the method . Two of the reduced equations are of the first order.

[1] G. W. Bluman, A. F. Cheviakov, and S. C.Anco, Applications of Symmetry Methods to Partial Differential Equations,( NewYork:
Springer, 2010).
[2] W. Yu, Mathematical modelling for a class of flexible robot, Appl.Math. Modelling. 19, 1995, 537-542.
[3] H. T. Banks, and et al, Inverse problems in the modelling of vibrations of flexible beams, Distributed Parameter Systems, Proc.
3rd Int. Conf, Vorau, Syria, July 1986. Springer-Verlag, Berlin 1987.
[4] F. Bellezza, and et al, Exact modelling of the flexible slewing link, Proc. IEEE Int. Conf. on Robotics and Automation, 1990,
734-739.
[5] J. Bontsema, R.F. Curtain, and J.M.Schumacher, Robust control of flexible structures: a case study, Automatica. 24, 1988,
177-186.

Abstract: The present paper discusses an application of fuzzy measure and corresponding fuzzy integral for the evaluation of students failure reasons. From the result it is clearly seen that Choquet Integral has a good choice in Decision making.

Keywords: Fuzzy measure, λ-Fuzzy measure, Fuzzy Integral

1] L. A. Zadeh, Fuzzy sets, Information and control, 8(3), 1965, 338-353.
[2] D. J. Dubois, Fuzzy sets and systems: theory and applications (Vol. 144), (Academic Press, 1980).
[3] T. D. Dongale, T .G. Kulkarni, S. V. Kulkarni, S. R. Jadhav, R. R. Mudholkar, AC Induction Motor Control-Neuro-Fuzzy approach, International Journal of Engineering Science & Advanced Technology, 2(4), 2012, 863 – 870.
[4] T. D. Dongale, T .G. Kulkarni, R. R. Mudholkar, Fuzzy Modelling of Voltage Standing Wave Ratio using Fuzzy Regression Method, International Journal of Emerging Technology and Advanced Engineering, 2(6), 2012, 2250-2459.
[5] T. D. Dongale, S. R. Ghatage, R. R. Mudholkar, Application Philosophy of Fuzzy Regression, International Journal of Soft Computing and Engineering,2(6), 2013, 170-173.

Abstract: The purpose of this paper is to assess the attitude, knowledge and practice of mathematics in education. At different times and in different cultures and countries, mathematics education has attempted to achieve a variety of different objectives. In this paper, some aspects of mathematics are discussed. Starting with the definition of mathematics given by some of the pioneers of the field, an introduction to some great mathematicians with their discoveries is given. In the last part of this paper relationship of mathematics and
other disciplines is described.

[1]. www.wikipedia.com
[2]. www.google.com
[3]. www.listverse.com
[4]. A Mathematician's Apology, by G. H. Hardy. Memoir, with foreword by C. P. Snow., Cambridge University Press, 1992.
[5]. H., Paul, I Want to Be a Mathematician. Springer-Verlag 1985.
[6]. W.,Dunham, The Mathematical Universe. John Wiley 1994.

Abstract: This paper studies two stochastic bulk arrival and bulk service queueing Models (A) and (B) with k varying environments. The system has infinite storing capacity and the arrival and service sizes are finite valued random variables. Matrix partitioning method is used to study the models. In Model (A) the maximum of the arrival sizes in all environments is greater than the maximum of the service sizes in all environments and the infinitesimal generator is partitioned as blocks of k times the maximum of the arrival sizes for analysis and in Model (B) the maximum of the arrival sizes in all environments is less than the maximum of the service sizes in all environments where the generator is partitioned using blocks of k times the maximum of the service sizes. The basic system generator is seen as a block circulant matrix. The stationary queue length probabilities, its expected values, its variances and probabilities of empty levels are derived for the two models using the rate matrix iterated. Numerical examples are presented for illustration. Bulk arrival and bulk service M/PH/1 and PH/M/1 queues become special cases of the models when the PH generator is identified as the generator of the randomly varying environment.
Keywords: Block Circulant Matrix, Bulk Arrival, Bulk Service, Matrix Geometric Methods, Phase Type Distribution.

[1]. Aissani.A. and Artalejo.J.R. 1998. On the single server retrial queue subject to break downs, Que. Sys.30, 309-321.
[2]. Ayyappan.G, Muthu Ganapathy Subramanian. A and Gopal Sekar. 2010. M/M/1 retrial queueing system with loss and feedback under pre-emptive priority service, IJCA, 2, N0.6,-27-34.
[3]. D. Bini, G. Latouche, and B. Meini. 2005. Numerical methods for structured Markov chains, Oxford Univ. Press, Oxford.
[4]. Chakravarthy.S.R and Neuts. M.F.2014. Analysis of a multi-server queueing model with MAP arrivals of customers, SMPT, Vol 43, 79-95,
[5]. Gaver, D., Jacobs, P., Latouche, G, 1984. Finite birth-and-death models in randomly changing environments. AAP.16,715–731.

Abstract: In this paper we introduce and study fuzzy generalized b - closed set in fuzzy Topological spaces on fuzzy set with some properties on them and study fuzzy (ɡp-closed ,ɡs –closed ,ɡɑ-closed and ɡsp –closed) setes with some theorems and Some relations between them in fuzzy topological spaces on fuzzy sets.
Keywords: fuzzy b - closed set,fuzzy p - closed set,fuzzy α - closed set,fuzzy s- closed set,fuzzy sp- closed set,fuzzy generalized p - closed set,fuzzy generalized b - closed set .

[1]. Benchalli,S.S.,and Jenifer,J.,Karnel,''On Fuzzy b-open Sets in Fuzzy Topological Spaces''J.Comp. and Math. Sci.Vol.1.No.2,PP.127-134,2010.
[2]. Chang , C . L., '' Fuzzy Topological Spaces '',J. Math. Anal . Appl.,Vol.24,pp.182-192,1968 .
[3]. Enas,K.F,''On Some Types of Fuzzy Connected Spaces'' M.Sc.,Thesis,College of Education, Almustansiryah University,2011.
[4]. Manar.F.D,''On Fuzzy b-Open Set In Fuzzy Topologicl Spaces On FuzzySets'', Thesis, College of Education, Almustansiryah University,2012.M.S.c
[5]. Murugesan,S.andThangavelu,P.,''Fuzzy Pre-semi-closed Sets''J.Bull.Malays.Math. Sci.Soc.2,vol.31,No.2,PP.223-232,2008 .

Abstract: Soret and Dufour effects on heat and mass transfer in steady flow over a rotating disk in porous medium are investigated. A set of coupled ordinary differential equations are obtained from the governing nonlinear partial differential equations which are then solved numerically by using MATLAB's built in solver bvp4c. The effects of material parameters like the porosity parameter, chemical reaction parameter, Dufour number, Soret number, Schmidt number and Prandtl number on temperature and concentration distributions are discussed through graphs. It is concluded that the porosity of the medium and the chemical reaction parameter play crucial role on the heat and mass transfer.
Keywords: Heat and Mass transfer; Porous Medium; Rotating disk; Dufour and Soret effects; chemical reaction.

[1]. Nield, D.A. and Bejan, A. (2006). Convection in Porous Media, 3rd edition, Springer, New York.
[2]. Vafai, K. (2000). Handbook of Porous Media, Marcel Dekker, New York.
[3]. Ingham, D.B. and Pop, I. (1998). Transport Phenomena in Porous Media I, Pergamon, Oxford.
[4]. Ingham, D.B. and Pop, I. (2002). Transport Phenomena in Porous Media II, Pergamon, Oxford.
[5]. Von Karman, T.(1921). Uber laminare und turbulente reibung, ZAMM, 1(4), pp.233–235.