iosr-Jm   Volume-14 ~ Issue-4 ~ Jul-Aug 2018

Abstract: In this paper, we define and study g........

Keywords:γ -closed sets,g *γ -closed sets , g*γ -open sets ,g*γ -closed functions , g*γ -open functions , almost g*γ -irresolute functions, g*γ -normal space.

[1]. D. Andrijevic, "semipreopen sets", Math. Vesnic, 38(1),(1986), 24-32.
[2]. D. Andrijevic, "On b-open sets", Mat. Vesnik, vol.48, no. 1-2, pp. 59-64, 1996.
[3]. N. Biswas, "On some mappings in topological spaces", Bull. Calcutta. Math.Soc. 61(1969), 127-135.
[4]. F. Cammarota and T. Noiri, " Almost irresolute functions", Indian J. of pure Appl. Math., 20(1989), 472-482.
[5]. S. G. Crossley and S. K. Hildebrand, "On semiclosure" Texas, J. Sci., 22(1971), 99-112...

Abstract: In this paper we define and study some allied regular spaces using gsp-open sets and gsp-closed sets , namely (sp,gsp)-regular spaces, gsp-regular spaces,(gsp,gs) -regular spaces, weakly g*regular spaces, (gsp,sp)-regular spaces,(p,gsp)-regular spaces and strongly gsp-regular spaces. also, we defined some basic characterization of above mentioned regular spaces. Mathematics Subject Classification (2010) : 54A05,54B05,54C08 ,54D10.

Keywords: semipreopen sets, gsp-closed sets .g*-closed sets preopen sets ,gs-closed sets, gsp-irresoluteness, and strongly g*-continuums functions.

[1]. D.Andrijevic, Semipreopen sets, Math.Vensik 38(1),(1986), 24-32.
[2]. S.P.Arya and T.Nour, Characterizations of s-normal Spaces, Indian,J.Pure Appl.Math.21(1990) 717-719.
[3]. Biswas, On characterization of semi-continuous functions, Atti.Accad.Naz.Lincei Rend.Cl.Sci.Fis.Mat.Natur 48(8)(1970),399-402
[4]. S.G.Crossely. and S.K.Hildebrand, On semi-Closure. Texas. J.Sci,22.(1971),99-112
[5]. P Das. Note on Some Application of Semi Open Sets. Progress of Math,BHU,7,(1973),33-44.

Abstract: The effect of pedagogy on student interest is very important in contemporary educational research. Factor Analysis of Teachers' Teaching Methodswas carried and how these extracted factors affect students' interest in Mathematics was investigated. Data was collected from ten (10) senior high schools in Ashanti region of Ghana with one thousand two hundred and sixty-three (1263) students' randomly selected to participates in the study. The ten factors that influence teaching methods and strategies were reduced to three principal components, and these were further used for regression analysis as predictors of student Mathematics interest. The study concluded that, pedagogical factor oriented model can predict significantly (p-value<0.001) 12% of variance in students' interest....

Keywords: Students' Interest, Mathematics, Teaching Methods, Teaching Materials, Ghana.

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Family and school context. Journal of Research on Adolescence, 20(1), 507-537.
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trajectrories in two male-sex-typed domains.Development Psychology,38,519-533.doi:10.1037/0012-1649.38.4.519..

Abstract: The purpose of this article is to demonstrate the abc conjecture and to deduce among other things a simple proof of the Fermat-Wiles theorem and a proof of the Pillai conjecture. Résumé : Le but de cet article est de démontrer la conjecture abc et d'en déduire entre autres une preuve simple du théorème de Fermat-Wiles et une preuve de la conjecture de Pillai.

Keywords : la conjecture abc, le théorème de Fermat-Wiles, la conjecture de Pillai, la théorie des nombres, le théorème de Roth, le théorème de Baker, le théorème de Bombieri-Vinogradov, le théorème de Faltings, conjecture de Mordell, équation de Brocard, les premiers de Wieferich, la conjecture d'Erdős-Woods.

[1]. Pierre Colmez, « a+b=c ? » — Images des Mathématiques, CNRS, 2012. En ligne, URL : http://images.math.cnrs.fr/ab-
c.html
[2]. Dorian Goldfeld (en), « Beyond the last theorem », The Sciences (en), , 34-40.
[3]. Gerhard Frey , La conjecture ABC – Pour la Science – Nov. 2012 – pages 24 à 31.
[4]. Cathu O'Neil, « La conjecture abc n'a pas encore été prouvée » .
[5]. M. Langevin, « Cas d'égalité pour le théorème de Mason et applications de la conjecture abc », CRAS, 317, o 5, , 441-444..

Abstract: In this paper we introduce Fuzzy Round Digraph by means of labelling. Also, some basic results of Fuzzy Round Digraph are discussed.

Keywords :Fuzzy digraph, Round Digraph, Locally semicomplete Digraph, Fuzzy Round Digraph.

[1]. A. Rosenfeld, Fuzzygraphs, in:L.A.Zadeh, K.S. Fu, M. Shimura (Eds.), Fuzzy Sets and Their Applications, Academic Press, New York, 77-95, 1975.
[2]. S. Mathew and M.S. Sunitha, Types of arcs in a fuzzy graph, Information Sciences, 179, 1760-1768, 2009.
[3]. SovanaSamantha,Mathumangal pal, Anitha pal, Some more results on fuzzy K- competition graphs
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[5]. Jorgen Bang-Jensen, Gregory Gutin ,Digraphs Theory Algorithms and Applications,Springer- verlag 2007.
[6]. S. Samanta and M. Pal, A new approach to social networks based on fuzzy graphs, To appear in Journal of Mass Communication and Journalism..

Abstract: Many natural phenomena, from physics to biology, through the fields of medicine and engineering, can be described by means of differential equations. This article aims to present the solutions of a homogeneous Cauchy-Euler differential equation from the roots of the characteristic equation associated with this differential equation, in order to facilitate the life of the university student. The great algebraic difficulty that a graduate student encounters in solving the homogeneous Cauchy-Euler differential equations is that his solution depends on a polynomial equation of degree n called the characteristic equation. It is hoped that this work can contribute to minimize the lags in teaching and learning of this important Ordinary Differential Equation..

Keywords :Ordinary Differential Equation. Equation of Cauchy-Euler homogeneous. Characteristic equation.

[1]. Boyce, William E.; DiPrima, Richard C. Equações Diferenciais Elementares e Problemas de Valores de Contorno. 7. ed. Rio de
Janeiro: LTC Editora, 2002.
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Abstract: Let 𝐼𝐷𝑛 denoted the semigroup of order – decreasing partial one –one transformation semigroup. 𝐼𝐷𝑛 is a subsemigroup of 𝐷𝑛 that is order decreasing full transformation semigroup. The papers study the number of conjugacy in 𝐼𝐷𝑛 using unlabell graph when the set is finite..

Keywords :conjugacy, order –decreasing partial one – one, transformation semigroup, semigroup, unlabelled graph..

[1]. Adeniji, A, O, and Mokanjuola, S.O. (2008). On some combinatorial results of collapse in full transformation semigroups. African Journal of computing and ICT 1(2), 61-62.
[2]. Adeniji, A.O. (2012). Identity Difference Transformation semigroups, Ph. D dissertation submitted to Department of Mathematics, University of Ilorin, Nigeria.
[3]. Adeshola, A.D. (2013). Some Semigroups of full contraction mappings, Ph. D dissertation submitted to Department of Mathematics, University of Ilorin, Nigeria.
[4]. Bashar, A. (2010). Combinatorial properties of the alternating and diheldral groups and homomorphic images of Fibonacci groups. Ph. D dissertation submitted to Department of Mathematics, University of Jos, Nigeria.
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Abstract: The aim of this paper is to introduced and study the classes of β g*-locally closed set and different notions of generalization of continuous functions namely β g*lc-continuity, β g*lc*-continuity and β g*lc**-continuity and their corresponding irresoluteness were studied....

Keywords :𝛽g*-separated, 𝛽g*-dense, 𝛽g*-submaximal, 𝛽g*lc-continuity, 𝛽g*lc*-continuity 𝛽g*lc **-continuity.

[1]. Balachandra, K., Sundaram, P. and Maki, H Generalized locally closed sets and GLC-continuous functions, Indian J. Pure Appl Math., 27(3)(1996), 235-244.
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[4]. C.Dhanapakyam ,K.Indirani,On 𝛽g*closed sets in topological spaces (2016). No.154.
[5]. C.Dhanapakyam ,K.Indirani,On 𝛽g*continuity in topological spaces(communicated)....

Abstract: The present studyof this, we discuss the heat and mass transfer on MHD unsteady visco-elastic second order Rivlin-Erickson fluid past an impulsively started infinite vertical plate in the presence of a foreign mass and constant mass flux on taking into account of viscous dissipative heat at the plate under the influence of a uniform transverse magnetic field in the presence of chemical reaction. The flow is governed by a coupled non-linear system of partial differential equations. These equations are solved by using perturbation technique. The velocity, temperature, concentration, skin - friction and the rate of heat transfer are derived. The results are graphically discussed for various values of physical parameters..

Keywords :Rivlin - Erickson Fluid, Porous medium Mass Transfer, heat source, Chemical reaction, Porous medium, MHD Viscous Flow, mass flux

[1]. A. J. Chamkha (2004): Unsteady MHD convective heat and mass transfer past a semi-vertical permeable moving plate with heat
absorption. Int. J. Eng., Sci., 42: pp. 217-230.
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vertical plate with constant heat flux and chemical reaction. Forschung in Ingenieurwesen 60, pp. 284 – 287
[3]. R. Deka U. N. Das and V. M. Soundalgekar (1994): Effect of mass transfer on flow past impulsively started infinite vertical plate
with a constant heat flux and chemical reaction. Forschung im ingenieurwesen; 60: pp. 284-287.
[4]. A. Ezzat Magdy (1994). Magnetohydrodynamic unsteady flow of non- Newtonian fluid past an infinite porous plate. Indian J. pure
appl. math. 25(6), pp. 655 - 664.
[5]. K. V. Prasad , D. Pal, V. Umesh and N. S. Prasanna Rao (2010): The Effect of Variable Viscosity on MHD Viscoelastic Fluid
Flow and Heat Transfer over a Stretching Sheet," Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 2,
February 2010, pp. 331-344..

Abstract: In the present study we have investigated the complete Fitzhug-Nagumosystem with 𝐼 ≠ 0: we have shown that one or two limit cycles may bi-furcate at the origin. Bendixons theorem has been used in our study toprove non-existence of limit cycles. We have also proved that the systemhas unique limit cycle through change of the parameters. ..

Keywords :Limit cycle, Lie0nard equation, Hopf-bifurcation, Fitzhug-Nagumosystem .

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[3]. Baili Chen, FitzHugh-Nagumomodle and signal processing the visual coctexof y, Msc. Math Texas Unv. May 2004.
[4]. BernanrdDeconinck, Dynamical system and chaos: An indriduction, Seattle.W.A, 98195, USA, March 8, 2008 .
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