iosr-Jm   Volume-12 ~ Issue-3 ~ May-June 2016

Abstract: This research aims to know whether yes or no direct effect of numerical intelligence to the student learning achievement, direct effect of student interest to the mathematics learning achievement of student, direct effect of numerical intelligence to the learning interest, indirect effect of numerical intelligence to the student learning achievement through learning interest........

Keywords: Numerical Intelligence, Learning Interest, Mathematics Learning Achievement

[1]. Anitah, Sri. Janet T. Manoy. Strategi Pembelajaran Matematika. Jakarta : Universitas Terbuka. 2007.
[2]. Armstrong, Thomas. Seven Kinds Of Smart. Jakarta : Gramedia Pustaka Utama. 2002.
[3]. Astuti, N.M. Hubungan antara Minat, Self-Efficacy, Inteligensi dengan Prestasi belajar Bahasa Inggris pada Siswa Kelas X, SMA Negeri 37 Jakarta. Jakarata: Tesis Pascasarjana UPI YAI. 2008.
[4]. Barnadib, Imam. Filsafat Pendidikan. Jakarta : Ghalia Indonesia. 1997.
[5]. Bloom, B., et.al. Taxonomi of Educational Objectives : cognitive domain book New York : Longman. 1956.

Abstract: In this paper, we introduce perfectly δgb-continuous, strongly pre-δgb-continuous, perfectly pre-δgb-continuous, strongly δgb-closed and regular δgb-closed functions in topological spaces using δgb-closed sets. Study some of their properties and establish characterizations. Also,b∗-normal spaces are introduced and some of its properties and characterizations are obtained........

Keywords: b-irresolute, perfectly δgb-continuous, strongly pre-δgb-continuous, perfectly pre-δgb-continuous strongly δgb-closed, regular δgb- closed.

[1]. D. Andrijivic, On b-open sets, Mat.Vesnic, 48(1996), 59-64.
[2]. S.S.Benchalli,P.G.Patil and J.B.Toranagatti, On delta generalized b-closed sets in topological spaces (Communicated).
[3]. S.S.Benchalli,P.G.Patil and J.B.Toranagatti, On delta generalized b-continuous functions in topological spaces, International Journal of Scientific and Innovative Mathematical Research,Volume 3, Special Issue 2 (2015),440-446.
[4]. S.S.Benchalli,P.G.Patil and J.B.Toranagatti, On delta generalized b-closed functions in topological spaces, Mathematical Sciences Interna tional Research Journal, Volume 4, Issue 2( 2015),243-246.
[5]. A.A.El-Atik,A study of some types of mappings on topological spaces, Master's Thesis, Faculty of Science,Tanta University,Tanta,Egypt(1997).

Abstract: The aim of this paper is to obtain common fixed points theorems in an intuitionistic fuzzy metric space for point wise R-weakly commuting mappings using contractive condition of integral type and to establish a situation in which a collection of maps has a fixed point which is a point of discontinuity.

Keywords: Fuzzy set, Intuitionistic fuzzy set, Intuitionistic fuzzy metric space, pointwiseR-weakly commuting, reciprocally, non-compatible, Integraltype

[1] Alaca.C, Turkoglu.D, Yildiz.C, Fixed points in intuitionistic fuzzy metricspaces, Chaos, Solitonsand Fractals, (2006), 29, 1073-1078.
[2] A.Aliouche, 'A Common fixed point Theorem for symmetric spaces satisfyinga contractivecondition of condition of integral type', Journal ofMathematics Analysis and Application, 322(2006), 796-802.
[3] Atanassov.k, Intuitionistic fuzzy sets, Fuzzy sets and system, 20 (1986),87-96.
[4] Atanassov.k, New operations defined over the intuitionistic fuzzy sets,Fuzzy sets and system, 61(1994),137-142.

Abstract: Today is a world of uncertainty with its associated problems, which can be well handled by Soft set theory which is a new emerging mathematical tool.In this paper, Sanchez's approach for medical diagnosis using the representation of Reduced Fuzzy Soft Matrix is introduced. It has less computational work compared with available methods. This is a new approach in the medical diagnosis field by employing the interval valued Fuzzy Soft set .

Keywords: Soft matrix, Fuzzy soft matrix, Interval valued fuzzy soft matrix Reduced fuzzy soft matrix

[1] Atanassov.K, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20(1),(1986), 87-96.
[2] Atanassov,K., Intuitionistic fuzzy sets, Physica-Verlag, Heidelberg, Newyork, 1999.
[3] Chetia.B, Das.P.K."Some results of Intuitionistic Fuzzy soft matrix theory ", Advances in Applied science Research,3(1): 2012 412-423.
[4] Chetia.B,Das.P.K."An application of interval valued fuzzy soft set in medical diagnosis", International Journal of Contemporary Mathematical Sciences, 5(38)(2010), 1887-1894.
[5] Maji P.K, Biswas R .and Roy A.R.."Soft set theory", Computers and Mathematics with Applications,45(4-5), (2003),555-562.

Abstract:The polydisperse fuel spray (droplets with different radii size) jet that discharging into a hot gas is study in this paper. The dimensionless governing equations (a PDE system) of the physical model include a gasphase equations and liquid-phase equations. The analysis of the model is based on the well-known semianalytical method the homotopy analysis method (HAM). In the frame of the HAM the so-called convergencecontrol parameter is an artificial parameter of the model which provides a convenient way to guarantee the convergence of approximation series of the solutions.

Keywords: Droplet combustion, homotopy analysis method (HAM), Fuel Spray

[1]. Marley S.K., Lyons K.M., Watson K.A., Leading-edge reaction zones in lifted-jet gas and spray flames, Flow Turbulence and
Combustion, 72(1):29- 47, (2004).
[2]. Hamelnick L., Greenberg J.B., A simple model of multiple spray flames and their interaction, 49th AIAA Aerospace
SciencesMeeting including the New Horizons Forum and Aerospace Exposition, 2011, Orlando, Florida.
[3]. Nave O., Bykov V. Gol'dshtein V., A probabilistic model of thermal ex- plosion in polydisperse fuel spray, Applied Mathematics
and Computation, 217(6):26982709, (2010).
[4]. Urzay J., Mart´ınez-Ruiz D., Sanchez A.L., Lianan M. A., and Williams, F.A., Flamelet structures in spray ignition. Nasa-Stanford
Annual Research Briefs, 107-122 (2013).
[5]. Shuijun L., On the homotopy analysis method for nonlinear problems, Ap- plied Mathematics and Computation, 147:499-513
(2004).

Abstract: Sufficient conditions in terms of the coefficient sequences for the oscillation and asymptotic behaviour of nonoscillatory solutions of a class of second order nonlinear neutral difference equations have been obtained. The results improve some of the earlier results in the continuous case.

Keywords: Asymptotic behaviour, homogeneous , neutral difference equations , oscillation, positive and negative coefficients, second order.

[1]. M.P. Chen and B.G. Zhang, Oscillation and comparison theorems of difference equation with positive and negative coefficients, Bulletin of the Institute of Mathematics Academia Sinica, 22, 1994, 295-306.
[2]. Q. Chuanxi and G. Ladas, Oscillatory behavior of difference equation with positive and negative coefficients, Le Mathematics, VXLIY (1989), 293-309.
[3]. J.T. Chuan and S.S. Cheng, Oscillation criteria for delay neutral difference equations with positive and negative coefficients, Soc. Paran. Mat. 21, 2003, 1-12.
[4]. J.R. Graef, A.S. Mician, P.W. Spikes, Pon. Sundar and E. Thandapani, Oscillatory and asymptotic behavior of solution of neutral type difference equations, Journal of the Australian Mathematical Society, Ser.B, 38, 1996, 163-171.
[5]. J.W. Hooker and W.T. Patula, A second order nonlinear difference equation: Oscillation and asymptotic behavior, Journal of Applied Mathematical Analysis and Applications, 91, 1983, 9-29.

Abstract: This paper investigated the effects of partial slip, viscous dissipation, heat generation or absorption and convective boundary condition on three dimensional magnetohydrodynamic flow of Casson fluid and heat and mass transfer past a permeable sheet which shrinks axisymmetrically in its own plate. The governing equations are transformed into a system of non linear ordinary differential equations by using the similarity transformations.........

Keywords: Casson fluid, MHD, slip velocity, heat and mass transfer,convective boundary condition, heat generation or absorption.

[1] Ahmed M.Megahed, (2015), MHD viscous Casson fluid flow and heat transfer with second-order slip velocity and thermal slip over
a permeable stretching sheet in the presence of internal heat generation/absorption and thermal radiation, The European Physical
Journal Plus, Vol.130:81
[2] Anwar, M. I., Khan, I.,Sharidan, S., and Salleh, M. Z., (2012), Conjugate effects of heat and mass transfer ofnanofluids over a
nonlinear stretching sheet, International Journal of Physical Sciences, Vol. 7(26), pp. 4081 - 4092.
[3] Bhargava, R., Sharma, S., Takhar, H.S., Beg, O.A., and Bhargava, P., (2007), Numerical solutions for micropolar transport
phenomena over a nonlinear stretching sheet, Nonlinear Anal. Model. Cont., Vol.12, pp.45-63.
[4] ChennaSumalatha, Shankar Bandari, (2015), Effects of Radiations and Heat Source/Sink on a Casson Fluid Flow over Nonlinear
Stretching Sheet, World Journal of Mechanics, Vol.5, pp.257-265.

Abstract:In this paper, we define Some domination parameters on IVIFG and derive some relations and then verify by using Interval valued intuitionistic fuzzy graphs and discussed some properties. Also, we introduced Immoderate semi-complete IVIFG and its properties.

Keywords: Interval valued intuitionistic fuzzy set, Interval valued intuitionistic fuzzy graph, Domination on IVIFG, Split domination on IVIFG, global domination set on IVIFG, Semi-complete IVIFG.

[1] Atanassov. K, Intuitionistic fuzzy sets. Fuzzy Sets & Systems, 20 (1986), 87-96. http://dx.doi.org/10.1016/s0165-0114(86)80034-3
[2] Atanassov. K, Operations over interval valued fuzzy set, Fuzzy Sets & Systems, 64 (1994), 159 - 174.
[3] Atanassov. K and Gargov. G, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets & Systems. 31 (1989), 343 -349. http://dx.doi.org/10.1016/0165-0114(89)90205-4
[4] Atanassov. K. More on intuitionistic fuzzy sets. Fuzzy Sets & Systems, 33 (1989), 37 - 45. http://dx.doi.org/10.1016/0165-0114(89)90215-7 Some new identities 2739.
[5] Atanassov. K. New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets & Systems, 61 (1994), 137 - 42. http://dx.doi.org/10.1016/0165-0114(94)90229-1

Abstract: The Riemann Hypothesis states the non trivial zeros of a mathematical function, the Riemann zeta function, are, all of them, points pertaining to a vertical line in the Argand-Gauss plane. Technically, this implies there exists an intrinsical order, a balance, within the structure of natural numbers, related to the building blocks, these the prime numbers.........

Keywords: Riemann hypothesis, prime number, number theory, disproof

[1] T. M. Apostol, Introduction to analytic number theory (Springer-Verlag, New York, Heidelberg, Berlin, 1976), undergraduate texts in mathematics ed.
[2] A. M. Yaglom and I. M. Yaglom, Challenging mathematical problems with elementary solutions, volume 1, combinatorial analysis and probability theory (Dover Publications, Inc., New York, 1987), american edition ed.
[3] B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse (Monatsberichte der Berliner Akademie, 1859).
[4] P. Borwein, S. Choi, B. Rooney, and A. Weirathmueller, The Riemann hypothesis: a resource for the afficionado and virtuoso alike (Springer, Berlin, Heidelberg, New York, Hong Kong, London, Milan, Paris, Tokyo, 2007).
[5] E. Landau, Neuer Beweis der Gleichung (Friedrich-Wilhelms, Berlin, 1899).

Abstract: In this paper we assumed that the service times are deterministic and the two vacation types are exponentially distributed but with different means. The steady-state solution is obtained. Multiple vacations queueing system is that in which a vacation following a busy period has a different distribution from a vacation that is taken without serving at least one customer.

Keywords: Queueing Model; Vacation; Deterministic; Steady state.

[1] A. D. Banik, U. C. Gupta, and S. S. Pathak, ―On the GI/M/1/N queue with multiple working vacations-analytic analysis and computation, ‖Applied Mathematical Modeling, vol. 31,no. 9, pp. 1701–1710, 2007.
[2] B. Doshi, ―Queueing systems with vacations—a survey,‖ Queueing Systems: Theory and Applications, vol. 1, no.1, pp. 29– 66, 1986.
[3] B. Doshi, ―Single server queues with vacations,‖ in Stochastic Analysis of Computer and Communication Systems, H. Takag, Ed., pp. 217–265, Elsevier, 1990.
[4] Crommelin, C. D. 1932. Delay Probability formulae when the holding times are constant. P. O. Electrical Engineering Journal 25, 41-50.
[5] D. Gross, J. Shortle, J. Thompson, and C. Harris , Fundamentals of Queueing Theory, Forth edition, Wiley,Poisson Input, Constant Service. pp- 294. 2013.