iosr-Jm   Volume-12 ~ Issue-4 ~ Jul-Aug 2016

Abstract: The study isset to investigation the oxytocin was developed bypreset on-line solid-phase micro extraction coupled with liquid chromatography-tandem mass spectrometry in saliva samples using the fuzzy Rayleigh distribution. Parameter of Rayleigh distribution find out by the Maximum Likelihood Estimator.The fuzzy mean values and variance values are calculated for different alpha values. The result shows that the mean and variance values are increasing for lower alpha values and decreasing for upper alpha values.

Keywords: Oxytocin, Rayleigh distribution, Maximum Likelihood Estimator.

[1]. N Balakrishnan.ApproximateMLEofthescale parameteroftheRayleighdistributionwithcensoring,IEEETransactionson Reliability,38(3):355–357,1989.
[2]. VBisagnoand JLCadet.Stress,sex, andaddiction:potentialroles ofcorticotrophin -releasingfactor,oxytocin,and arginine-vasopressin.Behav.Pharmacol.,25:445–457,2014.corticotropin
[3]. MGalbally,A J Lewis, MVan Ijzendoorn,and M Permezel.The roleofoxytocininmother-infantrelations:Asystematic review ofhumanstudies.Harv.Rev.Psychiatry,19:1–14,2011.
[4]. IGordon,CMartin,RFeldman,and JFLeckman.Oxytocinand socialmotivation.Dev.Cogn.Neurosci.,1:471–493,2011.
[5]. EzzatallahBalouiJamkhaneh.Reliabilityestimationunderthefuzzyenvironments.TheJournalofMathematics andComputer Science,5(1):28 –39,2012

Abstract: In this paper, we introduce a new notion on degree of vertices and degree of edges in IFG and also introduce extended vertex regular IFG's and extended edge regular IFG's. The necessary conditions for extended regular IFG's are analyzed. An illustrative application in which extended vertex/edge regular IFG becomes a useful tool in the analysis of stemcell therapy and its effectiveness is also provided. Mathematics Subject Classification: 05C72, 03E72, 03F55.

Keywords: Extended degree of vertex, extended degree of edge and extended regular IFG.

[1]. Anthony Shannon and Atanassov, K. "On a generalization of intuitionistic fuzzy graphs." NIFS Vol.12.(1) (2006): 24-29.
[2]. Atanassov, K T. "Intuitionistic fuzzy sets: theory and applications, Studies in Fuzziness and soft computing." Physica-Verlag. Heidelberg, New York, 1999.
[3]. Karunambigai, M G., Palanivel, K., and Sivasankar, S. "Edge regular Intuitionistic fuzzy graphs." Advances in fuzzy sets and systems Vol.20.(1) (2015): 25-46.
[4]. Karunambigai, M G., Sivasankar, S. and Palanivel, K. "Some properties of a regular Intuitionistic fuzzy graphs." International journal of mathematics and computation Vol.26.(4) (2015): 53-61.
[5]. Nagoor Gani, A and Shajitha Begum, S. "Degree, order and size in Intuitionistic fuzzy graphs." International journal of algorithms, computing and mathematics Vol.3.(3) (2010): 11-16.

Abstract: Let G be a simple connected graph. The connected domination polynomial of G is defined by Cd(G,x) =   ( ) ( ) V G i  G cd(G,i) xi , where d  (G) is the minimum cardinality of connected dominating set of G. In this paper, we find the connected dominating polynomial and roots of some general graphs

Keywords:Connected domination number, connected dominating set, connected domination polynomial, connected dominating roots, minimum connected dominating set

[1] Sampathkumar, E.; Walikar, HB (1979), "The connected domination number of a graph", J. Math. Phys.Sci13 (1979): 607–613.
[2] J. Bondy and U. Murthy, Graph Theory with applications, North Holland, New York, (1976).
[3] F. Harary, Graph theory, Addison-Wesley, Reading Mass (1969).
[4] H. B. Walikar, B. D. Acharya and E. Sampathkumar, Recent developments in the theory of domination in graphs, Mehta Research Institute, Alahabad, MRI Lecture Notes in Math. 1 (1979).

Abstract: In this paper, we introduce 𝑔 *s –connected spaces and 𝑔 *s-compact spaces.Their basic
characteristics are studied.died.

Keywords:�𝑔 *s –connected spaces, 𝑔 *s –separatedness, 𝑔 *s –continuity, 𝑔 *s –open cover and 𝑔 *s-compact
spaces. 2010 AMS Classification: 54B05, 54B10, 54C10,54D18

[1]. Balachandran, K., Sundaram, P. and Maki, J., On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ.
(Math.), 12 (1991), 5-13.
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Society, 4 (1), 1981, 21–28.
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Abstract: We have considered the hydro magnetic boundary layer flow with heat and mass transfer over a vertical plate in the presence of magnetic field with Soret and Dufour effects, chemical reaction and a convective heat exchange at the surface with the surrounding has been studied. The similarity solution is used to transform the system of partial differential equations and an efficient numerical technique is implemented to solve the reduced system by using the Runge-Kutta fourth order method with shooting technique. A comparison study with the previous results shows a very good agreement. The results are presented graphically and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters..

Keywords: Vertical plate, convective boundary condition, chemical reaction, heat and mass transfer, magnetic field, similarity solution

[1]. Alam M. S., Rahman M. M., Samad M.A. Dufour and Soret Effects on Unsteady MHD Free Convection and Mass Transfer Flow
past a Vertical Porous Plate in a Porous Medium, Nonlinear Analysis: Modelling and Control, 2006, Vol. 11, No. 3, 217–226
[2]. Anghel M, Takhar HS, and Pop I (2000). Dufour and Soret effects on free convection boundary layer over a vertical surface
embedded in a porous medium. J. Heat and Mass Transfer, 43, pp. 1265-1274.
[3]. Bejan A and Khair KR (1985). Heat and mass transfer by natural convection in a porous medium. Int. J. Heat Mass Transfer, 28,
pp. 909-918.
[4]. Dursunkaya Z and Worek WM (1992). Diffusion-thermo and thermal diffusion effects in transient and steady natural convection
from a vertical surface. Int. J. Heat Mass Transfer, 35, pp. 2060-2065.
[5]. Eckert ERG and Drake RM (1972). Analysis of Heat and Mass Transfer. McGraw-Hill Book Co., New York..

Abstract: In this paper, an inventory model with exponential declining demand and variable deterioration is to be optimized. The holding cost is a linear function of time. Shortages are not allowed. The items like grocery products, mobile phones, computer chips etc. are considered as deteriorating items as they have fixed life which decreases with time. A numerical example has been illustrated using MATLAB to describe the model and the sensitivity analysis of various parameters is carried out with graphical and tabular data.

Keywords: Variable deterioration; Exponential declining demand; Inflation; Inventory; Time dependent holding cost

[1]. Abad PL(1996), "Optimal Pricing and Lot-Sizing under Conditions of Perish-ability and Partial Backordering," Management
Science, Vol.42, No. 8, pp. 1093-1104.
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Research, Vol. 28, No. 1, pp. 53-65.
[3]. Amutha R and Chandrasekaran E (2013), "An EOQ Model for Deteriorating Items with Quadratic Demand and Time Dependent
Holding Cost," International Journal of Emerging Science and Engineering, Vol. 1, No. 5, 2013, pp. 5-6.
[4]. Chang HJ and Dye CY(1999), "An EOQ Model for Deteriorating Items with Time Varying Demand and Partial Backlogging,"
Journal of the Operational Research Society, Vol. 50, pp. 1176-1182.
[5]. Chung KJ(1993)and Ting PS, "A Heuristic for Replenishment for Deteriorating Items with a Linear Trend in Demand," Journal of
the Operational Research Society, Vol. 44, pp. 1235-1241..

Abstract: In this paper, we analyze a stochastic model of tumorigenesis which takes into account the selection dynamics in a heterogeneous colony of cells. The stochastic model is a modified branching process which includes cell divisions, death and mutation. Mutation is included explicitly to account for two types of intermediate cells. The model is essentially a Markov branching process evolving in a random environment. Using the regeneration technique, we obtain integral equations for the probability generating functions of the underlying stochastic variables.

[1]. Actis, A. B., and Eynard, A. R., 2000. ``Influence of environmental and nutritional factors on salivary gland tumorigenesis with a special reference to dietary lipids," European Journal of Clinical Nutrition, Vol. 54, pp. 805-810.
[2]. Armitage, P. and Doll, R., 1957. ``A two-stage theory of carcinogenesis in relation to the age distribution of human cancer," British Jour. of Cancer, Vol. 11, pp. 161-169.
[3]. Asmussen, S. and Hering, H., 1983. ``Branching Processes," Birkhauser, Boston.
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[5]. Beerenwinkel, N. and Sullivant, S., 2008. Markov models for accumulating mutations, J. Theor. Biol. 242, 409-420..

Abstract: The purpose of this paper is to obtain a common fixed point theorem in a Menger space for weakly compatible self-map satisfying a contractive condition by using an implicit relation and the property CLR which will also generalize and improve several results on fixed point in probabilistic metric spaces and menger spaces.

Keywords: Common fixed point, distribution function, Menger space, t-norm, weakly compatible mapping.

[1]. A.T.Bharucha Ried, Fixed point theorems in Probabilistic analysis, Bull. Amer.Math. Soc, 82 (1976), 611-617.
[2]. Gh.Boscan, On some fixed point theorems in Probabilistic metric spaces, Math.balkanica, 4 (1974), 67-70.
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Abstract: Credit quality changes need to be analysed from time to time. A good model for analysis needs to determine the Capital and reserves needed to support Credit Instruments portfolios as well as individual Credits. Conditions under which the Series method of finding Markov chains generators of Empirical Transition Matrices in Credit Ratings applications are identified in this article. Searching for valid Generators especially when a true generator does not exist and the properties of the series method is shown. Credit exposures Transition from one rating to another as well as Historical information are used to model estimation that pro- vide a description of Credit quality evolution probability..

Keywords: Transition matrix, Generator, Eigen value, Markov

[1]. Bangla A., F. Diebold knonimus, C. Schagen and T. Schuermann (2002), "Ratings Migration and the Business cycle with applications to Credit portfolio stress testing".
[2]. Chatfield C. "Statistical Inference regarding Markov Chain Models; Applied Statistics
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Abstract: The sequence of prime numbers has been one of the problems that have occupied the minds of mathematicians for the last centuries. Perhaps there is no formula that gives this sequence, number by number, or it is very hard to find, but this sequence could arise from one or more sequences of composite numbers and the gaps they leave in the set of integers. This work aims at something quite simple: To categorize all odd composite numbers, smaller than a given number N and greater than number 1, with the press of a button, into three types of arithmetic progressions that is, to make possible the creation of an algorithm and thus, obtain the results.......

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Abstract: In this paper the characteristics of flow, radiative heat and mass transfer of a viscous fluid flow over a permeable sheet stretching exponentially with Hall currents in the presence of heat generation and first order chemical reaction are investigated. The non – linear partial differential equations governing the flow are transformed into a set of self similar equations which are then solved numerically. The computational results are graphically presented and discussed. The analysis shows that the Lorentz force resists the primary velocity and the Hall parameter has an opposite effect on it while secondary velocity experiences a reversal effect. The radiation parameter and magnetic field produce thicker thermal boundary layers

Keywords: Exponentially Stretching Sheet, Hall Currents, MHD, Unsteady

[1] E. Magyari, and B. Keller, Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface, J. Phys. Appl. Phys., 32, 1999, 577 – 585.
[2] E. M. A. Elbashbeshy, Heat transfer over an exponentially stretching continuous surface with suction, Archives of Mechanics, 53(6), 2001, 643 – 651

[3] M. K. Partha, P. V. S. N. Murthy, and G. P. Rajasekhar, Effects of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface, Heat Mass Transfer, 41, 2005, 360 – 366.
[4] M. Sajid, and T. Hayat, Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet, Int. J. Heat Mass Transfer, 35, 2008, 347 – 356.
[5] B. Bidin, and R. Nazar, Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation, Eur. J. Sci. Res., 33, 2009, 710 – 717.