iosr-Jm   Volume-18 ~ Issue-3 ~ May – Jun. 2022

Abstract:This work studies the effects of changes in the initial investments on the dividends of two competing investors in the stock exchange undergoing competition. The ODE 45 numerical scheme was used. The results of our analysis showed that with exceptionally high equal initial investment values of the two investors competing over some specific trading periods, the dividends of the first investor were dominantly higher than that of the second investor. Our results will be useful in the stock exchange investment planning. This has great implication for the socio-economic development of the country..

Key words:Initial Investment, dividends, ODE 45, Competing Investors, trading period, stock exchange, socioeconomic development

[1]. Cajueior, D.O., Tabak, B.M. and Werneck, F.K. (2009). Can we predict crashes? The cases of Brazilian stock market. Physica A. 388, 1603-1609.
[2]. Chiang, S.Y., Wong, G.G., Li, Y. and Yu, H.C. (2003). A dynamics competition analysis on the personal computer shipments in Taiwan using Lotka-Volterra model: IEE Asia Pasific Services Computing Conferences, 3, 1412-1417
[3]. Khamis, S.A., Tchuench, J.M., Lakka,M. and Heilio, M. (2011). Dynamics of fisheries with Pre-Reserve and Harvesting. International Journal of Computer Mathematics, 88(8), 1776-1802
[4]. Khodabin, B. and Shekarabi, F.H. (2016). Numerical solutions of stochastic Lotka-Volterra Equations via operational matrices. Journal of International and Approximation in Scientific Computing, 1, 37-42
[5]. Lakka, S. Michalakelis, C., Varoutas, D. and Martakos, D. (2013). Competitive dynamics in the operating systems market: Modeling and policy implications, Technological Forecasting and Social Change, 8, 88-105.

Abstract: Modeling of bounded outcomes within given intervals is continuously gaining wide applications in various fields as with engineering, economics and health sciences. Major applications have been on the usage of the Beta distribution first introduced by Ospina & Ferrari who used the beta law to define the continuous component of the distribution. This study gives an application of an extension of the Beta distribution incorporating a Bayesian Inference to model the proportion of household expenditure on education in the arid and semi-arid area of Kenya, a case of Isiolo County. The Bayesian Zero/One Inflated Beta Regression model is used in which the household head levels of education, age of household head, household size, household asset value and the distance to an educational facility by a household were evaluated. Data used for the study was secondary data obtained from the......

[1]. S.L.P. Ferrari and R. Ospina, "A general class of zero-or-one inflated beta regression models," Computational Statistics and Data Analysis, vol. 56, no. 6, pp. 1609-1623, 2011.
[2]. Government of Kenya (GoK), Vision 2030 Development Strategy for Northern Kenya and other Arid Lands, Government of Kenya, 2012, https:www.ndma.go.ke.
[3]. Z. Danuta, S. Agnieszka and K.K. Agnieszka, "Application of logistic regression model to assess household financial decisions regarding debt," Procedia Computer Science, Vol. 176, no. 1, pp. 3418-3427, 2020.
[4]. S.P. Danielle, A.G. Terezinha, J. Vanderly, MOG, Aline et al, "Modeling the incidence of citrus canker in leaves of the sweet orange variety," Acta Scientiarum, Vol. 39, no. 1, pp. 1-8, 2017.
[5]. D.R. Bahadar, K.M. Abdul and A. Akhter, "Household energy consumption and its determinants in timor-leste," Asian Development Review, Vol. 34, no. 1, pp. 167-197, 2017

Abstract: Understanding of mathematics is both theoretical and practical that requires adequate instructional materials for effective teaching and learning process. Instructional materials helps pupils to interact with concrete objects or situations directly thereby enhance the pupils understanding of the concepts and the development of positive interest in the subject. Instructional materials are information carriers designed specifically to help fulfill objectives in teaching learning situation. Instructional materials are objects of study that act as stimuli for the learners. Significantly, there may be a link between the use of instructional materials and effective teaching and learning of mathematics in basic education. Against this backdrop, the paper examined the concepts of mathematics and instructional materials......

Keywords: trends, production of instructional materials, mathematics, mathematics teaching, lower basics education, teaching materials

[1]. Achimugu, L. and Onojah, P.K. (2017). Factors hindering effective production and utilization of teacher-made instructional materials in teaching senior secondary Chemistry in Federal Capital Territory, Abuja, Nigeria. International Journal of Scientific Research in Education, 10(2), 352 – 361
[2]. Aminu, D.K. (2005). "Mathematics as a discipline-its usefulness in relation to life", Abacus, 30(1), pp 46 – 50 s
[3]. Brown, H. (2015). Predicting class learning. America Educational Research Journal,7(2), 301 – 320.
[4]. Cronbach, L. (2009). Teaching tool in secondary school. New York: Macmillan Publishing Co. Inc
[5]. Effiong, O.E. and Igiri, C.E. (2015). Impact of instructional materials in teaching and learning of Biology in senior secondary schools in Yakurr Local Government Area. International Letters of Social and Humanistic Sciences

Abstract: In this paper, we introduce the concepts of neutrosophic beta omega locally indiscrete space, neutrosophic weakly hausdorff spaces, neutrosophic ultra hausdorff spaces and analyze the properties of these spaces. Furthermore, we have defined neutrosophic beta omega T0, neutrosophic beta omega T1, neutrosophic beta omega T2 and neutrosophic beta omega normal spaces. We also have studied the concept of neutrosophic almost beta omega continuous mapping.

Keywords: neutrosophic beta omega T0, neutrosophic beta omega T1, neutrosophic beta omega T2, neutrosophic beta omega normal, neutrosophic almost beta omega continuous mapping

[1]. Anitha S, Mohana K, Florentin Smarandache, "On NGSR Closed Sets in Neutrosophic Topological Spaces", Neutrosophic Sets and Systems, Vol. 28, pp.171-178(2019).
[2]. Arokiarani R, Dhavaseelan S, Jafari, Parimala M, "On Some New Notions and Functions in Neutrosophic Topological Spaces", Neutrosophic Sets and Systems, Vol.16, pp.16-19(2017).
[3]. Atkinswestley A, Chandrasekar S, "Neutrosophic Weakly G∗-,Closed Sets". Advances in Mathematics: Scientific Journal, Vol.9, pp.2853-2864(2020).
[4]. Banu Priya V, Chandrasekar S, Suresh M, "Neutrosophic α generalized semi homeomorphisms", Malaya Journal of Mathematik, Vol.8, pp.1824-1829(2020).
[5]. Blessie Rebecca, S, Francina Shalini A, "Neutrosophic Generalized Regular Sets in Neutrosophic Topological Spaces", IJRAR Feb 2019, Vol.6, Issue (2019