iosr-Jm   Volume-13 ~ Issue-4 ~ Jul-Aug 2017

Abstract: In this study, we introduce a three-parameter Weibull-G exponential distribution (WGED) model to analyze the circulating growth hormone profiles of female rats. The reported data of Octreotide infused female Sprague Dawley rats every 12 h for 6 days at levels considerably greater than typical human therapeutic doses has been taken. It is observed that the suppression of plasma growth hormone profiles of Octreotide-11 dose infused female rats is higher than Octreotide-1 dose and control.

Keywords: Exponential distribution, Generalized Exponential, GH, Octreotide.

[1] Banerjee, S., Das, R.K., Shapiro, B.H., 2013. Growth hormone- independent suppression of growth hormone- dependent female isoforms of cytochrome P450 by the somatostain analog octreotide. Vol. 715, pp. 256-261.
[2] Gupta, R. D. and Kundu, D. (2001). Exponentiated exponential family; an alternative to gamma and Weibull. Biometrical journal, Vol. 43, pp. 117-130.
[3] Gupta, R. D. and Kundu, D. (2003). Discriminating between the Weibull and the GE distributions. Computational Statistics and Data Analysis, Vol. 43, pp. 179-196.
[4] Marbach, P., Neufeld, M., Pless, J., 1985. Clinical applications of somatostain analogs. Adv. Exp. Med. Biol. 188, 339-353.
[5] Pampori, N.A., Agrawal, A.K., Shapiro, B.H., 1991. Renaturalizing the sexually dimorphic profiles of circulating growth hormone in hypophysectiomized rats. Acta Endocrinol. 124, 283-289.

Abstract: The aim of the study is to analyse the instability phenomenon by using Fourier Transform. Here we adopted this study with two phase immiscible flow through homogenous porous media. The concern equation is solved to obtain the saturation of water by using Fourier Transform. The graphical representation suggest that injected fluid is increasing the Saturation of water decreasing while time T is increasing Saturation of water increasing.

Keywords: Cauchy – Residue Theorem, Fourier Transform, Instability Phenomenon, Porous Medium

[1] Cosse, R., Basics of Reservoir Engineering, Editions Technip, Paris, 1993.
[2] Verma, A.P., Imbibition in a Cracked Porous Medium, Canadian Journal of Physics, 1969, 47, 2519.
[3] Mehta, M.N., Ph.D. Thesis, Surat (India), 1977, 105
[4] Scheidegrer, A.E., The Physics of Flow through Porous Media, University of Toronto Press, Toronto, 1960, 216, 229.
[5] Tandel, Priti, Ph.D. Thesis, Surat (India), 2012, 82-88

Abstract: Advanced and more generalised equations for Arithmetic Progression are derived in this article. A thorough survey of field of Arithmetic Progressions is made and shortcut route is picked up and produced in this article for the benefit of students.

Keywords: Arithmetic progressions, sequence, series, conjugate term, remodelled.

[1] 'MATHEMATICS' Textbook For Class XI, National Council Of Educational Research and training, Sri Arobindo Marg, New Delhi 110016. First Edition: Feb.2006
[2] National Council of Educational Research and Training, Sri Arobindo Marg, New Delhi. 110016, India. 'MATHEMATICS' text book for class X. First Edition Dec-2006
[3] 10th STD English Mathematics, Managing director, Karnataka text book society 100 f feet ring road Banashankari 3rd stage Bengaluru-560085.
[4] R Chandra, Former principal, Delhi Public School, Taoru (Haryana) 'MATHEMATICS', (As per the latest CBSE syllabus), Full Marks PVT LTD,Educational Publishers, New Delhi 110002.
[5] S.S.L.C EASY SCORER – MATHEMATICS –REFERENCE BOOK, by G.S Swamy M.Sc., M.Ed. and P.Mahesha. M.Sc.,B.Ed. EDU-PRO PUBLICATIONS, Mysore.Third edition -2016

Abstract: Indrajeet's Law is a general formula for nth degree polynomial equation. We can find all real roots of nth degree polynomial equation by Indrajeet's Law . In this law we used divisors and coefficients which make it easy to find the roots of nth degree polynomial equation.

[1]. Indrajeet Kumar, march 2016, Indrajeet's Rule for Quadratic Equation, IOSR Journal of mathematics, Vol.12 Issue 2 (ver. 3)
[2]. Indrajeet Kumar, march 2016, Indrajeet's Factorization for Quadratic, IOSR Journal of Mathematics, Vol. 12 issue 2 (ver. 4)
[3]. Dr Mushtaq Ahmad Shah, Department of mathematics CMJ University Shilliong 79300, Fundamental Theorem of Algebra A Study , ijceronline.com, Vol. 2, Issue 8
[4]. Hana Almoner Looka, Dept. of Mathematics Belgrade University, Polynomial Equation from Ancient to Modern Times –A Review, University Bulletin – Issue no. 16, Vol. 2, April 2014
[5]. Lee Si Ying1 and Zhang De-Qi2, Solving Polynomial Equation by Radicals(online)

Abstract: In this paper, Sample-and-Hold functions are implemented to give approximate solutions for linear volterra integral-algebraic equations. The proposed method will transform the problem to a linear lower triangular system of algebraic equations using the operation matrix associated with the Sample-and-Hold functions. Convergence result and tested examples are given in order to check the validity and efficiency of the proposed method.

Keywords: Sample-and-Hold functions, Integral equation, Integral-algebraic equations

[1]. L.V. Wolfersdorf, On identification of memory kernel in linear theory of heat conduction, Math. Methods Appl. Sci. 17 (1994) 919–932.
[2]. B. Jumarhon, W. Lamb, S. McKee, T. Tang, A Volterra integral type method for solving a class of nonlinear initial-boundary value problems, Numer. Methods Partial Differential Equations 12 (1996) 265–281.
[3]. A.M. Gomilko, A Dirichlet problem for the biharmonic equation in a semi-infinite strip, J. Engng. Math. 46 (2003) 253–268.
[4]. V.V. Kafarov, B. Mayorga, C. Dallos, Mathematical method for analysis of dynamic processes in chemical reactors, Chem. Engng. Sci. 54 (1999) 4669–4678.
[5]. H. Brunner, Collocation Methods for Volterra Integral and Related Functional Equations, University Press, Cambridge, 2004

Abstract: Attrition takes place whenever a marketing organization takes policy decisions such as revision of targets and pay structure. It is not wise to make recruitment frequently due to cost factor. Since decision and its consequences are probabilistic in nature, a well planned recruitment policy is the need of the hour. The objective of the present paper is to study this problem of time to recruitment for a single grade manpower system using an univariate recruitment policy based on shock model approach. In this paper the variance of time to recruitment is obtained when (i) the system has optional and mandatory thresholds for cumulative loss in manpower (ii) wastage due to attrition form a sequence of exchangeable and constantly correlated exponential random variables (iii) the inter- exit times.........

Keywords: Single grade manpower system; different decision and exit epochs; correlated wastages; geometric process; order statistics; univariate policy of recruitment involving two thresholds and variance of time to recruitment.

[1] D. J. Bartholomew, Stochastic model for social processes, (New York, John Wiley and Sons, 1973).
[2] D. J. Bartholomew, F. Andrew Forbes, Statistical techniques for manpower planning, (New York, John Wiley and Sons, 1979).
[3] R. C. Grinold, K. T. Marshall, Manpower planning models, (New York, North-Holland, 1977).
[4] J. Gurland, Distribution of the maximum of arithmetic mean of correlated random variables, Ann. Mathematical Statistics, 26, 1995,
294-300.
[5] J. B. Esther Clara, Contributions to the study on some stochastic models in manpower planning, doctoral diss., Bharathidasan
University, Tiruchirappalli, 2012.

Abstract: This paper deal with the optimization of Landmark Poultry farm products using Simple Linear Programming whereby we investigate and examine the cost invested and as well as cost of producing each poultry farm products and the turn over for the same products in other to find the trend of its' production and predict the possible economics future using Simple Linear programming for an effective decision making in Landmark University poultry farm production.

Keywords: Linear, Optimization, Poultry, Programming, Simple

[1]. George B Dantzig. Simplex method for linear programming (1947)
[2]. Majeke, F. Optimum Combination of Crop Farm Enterprises: A Case Study of A Small-Scale Farm in Maronderea, Zimbabwe.
Journal of International Researchers Volume No. 2, Issue No.1, (2013). pp 60-65
[3]. Majeke, F., Majeke, J., Chabuka, N.T., Mufandaedza, J. Shoko, M.D., Chirima, J., Makoni, T., and Matete, C. A Farm Resource
Allocation Problem: A Case Study of Model A2 Resettled Farmers in Bindura, Zimbabwe. International Journal of Economics and
Management Sciences. Vol. 2, No. 7, (2013), pp. 01-04
[4]. Mohammad K. Islam, Mohammed F. Uddin and Md. M. Alam Comparison and Supply hain Optimization of Poultry Firm Using
Mixed Integer and Linear Fractional Program. Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X.
Volume 11, Issue 1 Ver. 1 (2015) Pp 40-54
[5]. Ion Raluca Andreea and Turek Rahoveanu Adrian application of linear programming in agriculture: Case study in region of
development South-Mounten. International Journal of Sustainable Economies Management. (IJSEM). (2012)

Abstract: Obesity is a leading preventable cause of death worldwide with increasing rates in children and adults. It is a condition where a person has accumulated so much body fat that might have a negative effect on their health. Obesity increases the likelihood of various diseases particularly type 2 diabetes, breathing difficulties during sleep, certain types of cancer and osteoarthritis. Childhood obesity is a condition where excess body fat negatively affects a child's health or well being. As methods to determine body fat directly are difficult, the diagnosis of obesity is often based on B.M.I. The term overweight rather than obese is often used in children as it is less stigmatizing. Childhood obesity........

Keywords: Body Mass Index, Childhood obesity, Chi-square test, Discriminant analysis,

[1]. Anderson,R.E. et.al., Multivariate data analysis, Pearson Prentice Hall, 2006. [2]. Bovet, A. Chiolero, G. Madeleine, and F. Paccaud, "Prevalence of overweight and underweight in public and private schools in the Seychelles," International Journal of Pediatric Obesity, vol. 5, no. 3, 2010; pp. 274–278.
[3]. Budd GM, Hayman LL. Addressing the childhood obesity crisis. Am J Matern Child Nurs. 2008;33:113–7.
[4]. Cole TJ, Bellizzi MC, Flegal KM, Dietz WH. Establishing a standard definition for child overweight and obesity worldwide international survey. British Medical Journal 2000
[5]. Lee G., Y. Ha, G. Kim., A comparison of fast food and soft drink consumption among Korean adolescents by geographical regions]J Korean Soc School Health, 21 (2) (2008), pp. 1-14.

Abstract: In this paper we introduce the concept of quasi -topological simple group. Also some basic properties, theorems and examples of a quasi -topological simple groups are investigated. Moreover we studied the important result, If the mapping between two quasi -topological simple groups is -continous at the identity element, then is -continous

Keywords: Quasi topological group, -open set, -continous, Quasi -topological simple group.

[1]. A.V.Arhangel'skii, M.Tkachenko, Topological Groups and Related Structures, At- lantis press/world Scientific, Amsterdampairs, 2008.
[2]. C.Selvi, R.Selvi, On Generalized Topological Simple Groups, Ijirset Vol.6, Issue 7, July (2017).
[3]. Muard Hussain, Moiz Ud Din Khan, Cenap Ozel, On generalized topological groups, Filomat 27:4(2013),567-575
[4]. Dylan spivak, Introduction to topological groups, Math(4301).
[5]. J. R. Munkres, Topology, a first course, Prentice-Hall, Inc., Englewood cliffs, N.J.,1975.
[6]. .A.Csaszar, generalized topology, generalized continuity, Acta Math. Hungar. 96(2002) 351-357.

Abstract: In this paper, the concept of _m-statistically pre-Cauchy sequences of fuzzy numbers is introduced. A necessary and sufficient condition for the sequence X = (Xk) of fuzzy numbers to be statistically pre-Cauchy is also discussed. Some more results are also established. AMS classification: 40A35;46A45;46S40;03E72.

Keywords: Fuzzy number, statistical convergence, statistically pre-Cauchy, modulus function.

[1] T. Bilgin, _-statistical and strong_-Ces_aro convergence of sequences of fuzzy numbers, Math. Commun., 8(1) (2003) 95-100.
[2] J. Connor, J.A. Fridy and J. Kline, Statistically pre-Cauchy sequences, Analysis, 14 (1994) 311-317.
[3] J.S. Connor, The statistical and strong p-Ces_aro convergence of sequence, Analysis, 8 (1980) 47-63.
[4] P. Das and E. Savas¸, On I-statistically pre-Cauchy sequences, Taiwanese J. Math., 18(1)(2014) 115-126.
[5] P. Diamond and P. Kloeden, Metric spaces of fuzzy sets, Fuzzy sets and Systems, 82(2)(1990) 241-249.
[6] A.J. Dutta and B.C. Tripathy, Statistically pre-Cauchy Fuzzy real-valued sequences defined by Orlicz function, Proyecciones Journal of Mathematics, 33(3)(2014) 235-243.

Abstract: The aim of this paper is to introduce a new collection of sets called rc- closed sets and its topology which is stronger than the collection of w-closed sets due to Arhangel'skii. 2000 Mathematics Subject Classification: 54C10, 54D10.

[1] Arhangel'ski˘ı , A. V., and Ponomarev, V. I., On dyadic bicompacta, Soviet original.
[2] Arhangel'ski˘ı, A. V., Bicompacta that satisfy the Suslin condition hereditarily. Tightness and free sequences, Dokl. Akad. Nauk
SSSR, 199 (1971), 1227-1230.
[3] Weiss, W., Countable compact spaces and Martin's Axioms, Canadian Journal of Mathematics, 30 (1978), 243-249.
[4] Erdal Ekici and Saeid Jafari, On w*- closed sets and there topology, Acta Universitatis Apulensis, 22(2010), 175-184.
[5] Velicko, N. V., H-closed topological spaces, Amer. Math. Soc, Transl., 78 (1968), 102-118..