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

Abstract: The Clinical Interview And History Elicitation Are Very Important Tools In The Field Of Pediatric Medicine. Though It Is Of Much Diagnostic Value The Very Process Of Interdiction With The Parents And The Child During History Taking Also Has Therapeutic Value. A Pleasant And Patient Interaction Is What Any Parent Desires. There Should Be Fever Distractions During The Interview. It Is Good To Use Lay Terms When Talking To The Parents And Avoid Medical Terminologies As Far As Possible. While Interviewing The Pediatrician Should Also Observe The Child To Look For Any Clinical Clues. In Pediatrics, The Most Important And Distinct Aspect Is The Fact......

Key Words:IPA, ORS, SARS, Human T-Lymph,

[1]. Cavazzana-Calvo M, Thrasher A, Mavilio F. The future of gene therapy. Nature.2004; 427(6977):779-81.
[2]. Gupta P, Shah D, Sachdev HP, Kapil U. National workshop on development of guidelines for effective home based care and treatment of children suffering from severe acute severe acute malnutrition. Indian Pediatr.2008;43:131-9
[3]. National Family Health Survey-3 (2006) Mumbai: IIPS; [online] Available from: www. Nfhsindia.org/nfhs3.shtml.[Accessed July, 2011].
[4]. Barness LA. Pediatric history and physical examination. In: Oski's Pediatrics: Principles and Practice, McMillan JA, DeAngelis CD, Feigin RD (Eds),3rd edition. Philadelphia: JB Lippincott Williams and Wilkins; 1999. Pp.39-52.
[5]. Harris R. the examination of children. In: Hutchison's Cliical Methods, Swash M (Eds), 20th edition. London: ELBS-WB Saunders Co; 1995.pp.365-86.

Abstract: This paper has considered the numerical solution of the Heston stochastic volatility model (HSVM) using the Elzaki transform method (ETM). The proposed method seeks the approximate solution of the HSVM by implementing its properties on the HSVM. The ETM proposes the solution as a rapid convergent series that represents the precise interpretation of the HSVM in real life situations. Also, the reckless interest rate is choice as -2.01 in correspondence with [4]. Numerical evidences were obtained with the help of Maple 18 software, and are compared with the homotopy perturbation method (HPM) and variational iteration method (VIM) found in the literature [4].

Keywords: Heston partial differential equation, Heston stochastic volatility model, Elzaki transform method, reckless interest rate.

[1]. Heston, S.L. (1993). A closed-form for options with stochastic volatility with applications to bond and currency options, Rev. Finan. Stud., 7:327-343
[2]. Tsetimi, J. and Mamadu, J. (2017). Analytic treatment of the Fokker-Planck equation by the Elzaki transform method. Journal of the Nigerian Association of Mathematical Physics, 39:51-54.
[3]. Ojobor, S.A. and Mamadu, E.J. (2017). Variation iteration decomposition method for the numerical treatment of the Fokker-Planck equation.Nigerian Annals of Natural Sciences, 16(1):109-113.
[4]. Biazar J. Goldout, F. and Mehrdoust (2015). On the numerical solutions of Heston partial differential equation. Mathematical Sciences Letters, 4(1):63-68.
[5]. El-Wakil, M.A. and Abdou, A.E. (2006). Adomian decomposition method for solving the diffusion convection reaction equation. Applied Mathematics and Computations, 177(2):729-736..

Abstract: Typhoid fever is an infectious disease caused by salmonella typhi. We formulate a mathematical modeling of transmission dynamics of typhoid using non-linear ordinary differential equations, in order to understand how the disease is spread and to predict the future behaviour of the model. Epidemiological threshold, R0, which is the condition for the disease spread is calculated. We obtain the disease-free equilibrium which is locally and globally stable respectively. The local stability of the endemic equilibrium of the model is also obtained.

Keywords: Non-linear ordinary differential equations, Typhoid fever, local stability, global stability

[1]. Buckle, G., Walker, C. and Black, R. (2012). Typhoid Fever and Paratyphoid Fever: Systematic Review to Estimate Global Morbidity and Mortality for 2010. Journal of Global Health. 2, 1-9. http://doi.org/10.7189/jogh.01.010401.
[2]. Getachew Teshome, Lahun, T., Oluwole Daniel Makinde and David Malonza. (2017). Modelling and Optimal Control of Typhoid Fever Disease with cost-effective strategies. Computational and Mathematical Methods in Medicine.16. https://doi.org/10.1155/2017/2324518.
[3]. Mushayabasa, S.(2012). A simple Epidemiological model for typhoid with saturated incidence Rate and Treatment Effect. International Journal of Biological, Veterinary, Agricultural and Food Engineering. 6, 56 – 63.
[4]. Mouldowney. (1990). Compound matrices and ordinary differential equations. Rocky Mountain Journal of Mathematics. 20. 857 – 872.
[5]. Van den Driessche, P and Watmough, J. (2002). Reproduction Numbers and Sub-threshold Endemic Equilibria for compartmental Models of Disease Transmission. Mathematical Biosciences. 180, 29 – 48.,.

Abstract: Stream function for the Laplace-Beltrami equation on the surface of a three dimensional ring torus is obtained. The equation is decomposed into two different parts .......

Keywords: Ring torus, Vortices, Stream function, Vorticity,

[1]. Andrew, M. (2005). Alternative Separation of Laplace's equation in toroidal coordinates and its application to electrostatics. Journal
of Electrostatics, 664-672.
[2]. Bates, J. W. (1997). On toroidal Green's function. AIP, Journal of Mathematical Physics.
[3]. Green, C. C. & Marshall, J. S. (2012). Green's function for the Laplace-Beltrami operator on a toroidal surface.Proceeding of Royal
Society. Mathematical, Physical and Engineering Sciences, 1-13
[4]. Kefas, B. M. & Ifidon, E.O, (2016). Point Vortices on Spherical Surface: The Green's function approach. Transaction of the Nigeria
Association of Mathematical Physics Volume 2 pp49-58
[5]. Maggioni, F., Alami, S. Z. Barenghi, C. F. & Ricca, R. L. (2013). Vortex Knots dynamics in Eurler fluids.Procedia: elsevier

Abstract: For transfinite cardinal number α, using Zorn's lemma we have given a simple proof which is understandable to undergraduate students, of the result.........

[1]. Carothers N. L., Real Analysis, Cambridge University Press (2000).
[2]. Lipschutz Samour, Theory and Problems of Set Theory and Related Topics, Schaum Publishing Co., New York.
[3]. Pervin W. J., Foundation of General Topology, Academic Press.
[4]. Sharma J. N., Topology, 31st Edition, Krishna Prakashan Media (P) Ltd, Meerut, (2006).
[5]. Stoll R. R., Set Theory and Logic, 2nd Indian Reprint, Eureka Publishing House, New Delhi (1976).

Abstract: The research aims to study the Damping properties of composite materials consists of epoxy resin with phenolic formaldehyde resin reinforced by graphite or silica particles or both, and reinforced with carbon fibers of a standard format (-90, 0, +90). The results obtained showed that the Damping properties of epoxy- phenolic formaldehyde resins are enhanced after reinforced by silica, graphite and carbon fiber.

Keywords: Epoxy, phenol formaldehyde resin, particles reinforcement, carbon fibers, Damping properties

[1]. Mustafa A. Rajab, Ekhlas I. Kader, Ali A. Hamod, Abdul Hameed I. Hameed "Mechanical properties of silica, graphite and carbon fiber reinforced composites" , International Journal of Engineering and Technology (IJET) , Vol. 9 No 5 Oct-Nov 2017.
[2]. Dr. Mustafa A. Rajab, Dr. Ali Adwan Hammod, Dr. Ekhlas I. Kader, Abdul Hameed I. Hameed. ((Mechanical properties (Tensile, Hardness and Shock resistance) for the phenol formaldehyde resin with Epoxy resin.)) , Diyala Journal of Engineering Sciences 4 (2018) 55 – 60
[3]. Jun Zheng, "Studies of resole / isocyanate hybrid adhesives ", Ph.D., Thesis, Virginia Polytechnic Institute and State University, 2008.
[4]. Ali I. Al-Mosawi "Study of Some Mechanical Properties for Polymeric Composite Material Reinforced by Fibers", Al-Qadessiyah Journal For Engineering Science, Vol. 2, No 1, 2009. pp.14 – 24.
[5]. Dr. Mustafa A. Rajab, Dr. Ekhlas I. Kader, Abdul Hameed I. Hameed.., ": FLEXURAL AND SHOCK STRENGTH OF SILICA, GRAPHITE.

Abstract: In this paper we obtain degree based topological indices for the graphs formed of concatenated 5-cycles in one rows and in two rows of various lengths. Mathematics subject classification:05C12

Keywords: topological indices, Pentachains.

[1]. B.Y, Yang and Y. N. Yen, Adv.Appl.Math.16 , 72 (1995).
[2]. N.Prabhakara Rao and A.Laxmi Prasanna, On the Wiener index of pentachains, Applied Mathematical Sciences , Vol 2,no 49, pp
2443-2457(2008).
[3]. Ali A. Ali and Ahmed M.Ali ,Hosoya Polynomials of Pentachains ,MATCH Comput. Chem 65, pp 807-819 (2011).
[4]. M. Randić, On characterization of molecular branching, J. Am. Chem. Soc. 97 .(1975)
[5]. I. Gutman, N. Trinajstić, Graph theory and molecular orbitals. Total л-electron energy of alternant hydrocarbons, Chem. Phys. Lett.
17, pp 535-538, (1972).

Abstract: In this paper, we introduce the concept of I-convergence.....

[1]. B.K Lahiri and P. Das, I and I∗ convergence in topologycal spacess,Math.Bohem, 130(2005), 153-160.
[2]. B.K Lahiri and P.Das, Further remark on I-limit superior and I-limit inferior, Math. Commun. 8 (2003),151-156.
[3]. H. Fast, Sur la convergence statistique,Colloq.Math, 2(1951) 241-244.
[4]. H.Gunawan and Mashadi, On n-norm space, Int.J.Math.Math.Sci., (2001),631-639.
[5]. J. Činčura,T. Šala t, M.Sleziak and V.Toma, Set of statistical cluster pointss and I-cluster points,Real Anal. Exchange,bf 30(2004/2005),565-580..

Abstract: This article concerns with the problem.

Keywords: bi-harmonic equation ; critical growth; Mountain Pass Theorem

[1]. Ekeland, I., On the variational principle[J], J. Math. Anal. Appl., 47(1974),324-353
[2]. D. G. de Figueiredo, O. H. Miyagaki and B. Ruf, Elliptic equations in R2 with nonlinearities in the critical growht range[J], Cal. Var. and P. D. E., 3(1995), 139–153
[3]. Y. T. Shen , Y. X. Yao and Z. H. Chen, On a nonlinear elliptic problem with critical potential in R2 [J] , Science in China Ser. A Mathematics., 47(5)(2004), 741–755
[4]. Chen Zhihui, Shen Yaotian and Yao Yangxin, Nonlinear biharmonic equations in R4 with potential[J],Chinese Annals of Mathematics, Series A, 26A:4(2005), 487-494.
[5]. Moser, J., A sharp form of an inequality by N. Trudinger [J], Indiana Univ. Math. J., 20(1971),1077-1092..

Abstract: the present article discusses advances in the study of geometry, presenting a way of calculating the geometric decomposition of figures in any dimension. In it is presented a theorem that allows to measure how many regular geometric figures it is possible to decompose by means of a bigger figure. However, this work addresses this decomposition in Rn, which allows its application in topology or cohomology. It is hoped that the results obtained here will allow advances in studies that are being developed in this field of studies.

Keywords: Geometry, Topology, Cohomology, Hilbert space, Decomposition.

[1]. J. Stewart, Cálculo (Cengage Learning, Tradução da Edição Americana: Universidade de Caxias do Sul- RS, 2017).
[2]. SANTOY, Marcus. "O mistério dos números: Uma viagem pelos grandes enigmas da matemática" Tradução: George Schlesinger. Rio de Janeiro. Zahar Editora. 2013. 226p.
[3]. R G Charantimath "Some allied regular spaces via gsp-open sets in topology." IOSR Journal of Mathematics (IOSR-JM) 14.4 (2018): 09-15.
[4]. C.Dhanapakyam." On Decomposition of βg* Closed Sets in Topological Spaces. IOSR Journal of Mathematics (IOSR-JM) 14.4 (2018) PP: 47-51.
[5]. Savita B. Megalamani. " g -open functions and g -closed functions in topology." IOSR Journal of Mathematics (IOSR-JM) 14.4 (2018): 01-08.