iosr-Jm   Volume-17 ~ Issue-3 ~ May – June 2021

Abstract: Multivariate statistical methods are designed to investigate relationships between several variables simultaneously. Multivariate analysis essentially extends univariate analysis for single parameters to vectors or matrices of parameters and from a single variance to a symmetric dispersion matrix. To understand this study, fluid ability has the character of a purely general ability to discriminate and perceive relations between things. It increases until adolescence and then slowly declines. The objective of this study was to investigate the effect of fluid intelligence enhancement intervention on mathematics performance and final grade among science and engineering students in Northwestern Nigeria. In specifics terms, this study was set to determined the mean difference between the students' pre-intervention and post-intervention tests scores. In order to compare only two populations, multiple.......

Key words: Fluid intelligence, crystallized intelligence, multivariate analysis, omnibus test, variance-covariance matrix, mean vectors..

[1]. Ackerman, P. L. (1996). A theory of adult intellectual development: Process, Personality, Interests, and Knowledge.
[2]. Everitt, B.S. & Hothorn, T. (2011). An introduction to applied multivariate analysis with R. New York: Springer.
[3]. Ho, R. (2014). Handbook of univariate and multivariate data analysis (2nd ed.). New York: CRC Press, Chapman & Hall.
[4]. Morrison, D.F. (2005). Multivariate statistical methods (4th ed). New York: Duxubury.
[5]. Timm, H.N. (2002). Applied Multivariate analysis. New York: Springer-Verlag.
[6]. Usman, A. (2016). Introduction to bivariate and multivariate Statistical analysis. Kaduna: Millennium Printing and Publishing Company Limited.

Abstract: The Sugar industry in Maharashtra is highly popular in the cooperative sector, as farmers own a portion in the sugar factories. This work determines the optimum use tactics for bagasse study domestic and environmental objectives. Additionally, alternative of sill bagasse and utilizing it in the boiler are also weigh. The major problem of sugarcane in India is based on monsoon and water supply. The cyclical nature in sugar production has caused distortions in the export of sugar in India. This study analyzes the state-wise production and reasons for the changes in production of sugarcane in the time period of 2000-2010

Key words: Planning, cultivation, sugarcane, optimization problem

[1]. http://www.statisia.com/topics/1224/sugar/
[2]. INTEGRATION OF SUGARCANE AND MILK PRODUCTION IN .... (1970). Retrieved on June 3, 2021, from http://www.fao.org/3/s8850e/S8850E17.htm.
[3]. Multi. (1970). Retrieved on June 3, 2021, https://www.sciencedirect.com/science/article/abs/pii/S2352550918302896.
[4]. Sundarsingh and Veeraputhiran,"Enhancing sugarcane productivity", Kisanworld, A journal of Agriculture and Rural Development', June 2000, pp. 18-19.

Abstract: This research work is concerned with the study of the General Efficiency and Optimization. We present the Efficiency and Optimization in their most natural context offered by the Infinite Dimensional Ordered Vector Spaces, following our recent results on these subjects. Implications and Applications in Vector Optimizaton through the agency of Isac's Cones and the new link between the General Efficiency and the Strong Optimization by the Full Nuclear Cones are presented. An important extension of our Coincidence Result between the Efficient Points Sets and the Choquet Boundaries is developed. In this way, the Efficiency is strongly connected with Potential Theory by Optimization and conversely. Several pertinent references conlude this investigation.

Keywords : ordered vector space, general efficiency, multifunction, optimization, locally convex space, Isac's (nuclear, supernormal) cone, Choquet boundary.

[1]. AGARWAL, R.P., O'REGAN – A note on equilibria for abstract economies. Math.
[2]. Computer Modelling, 34(2001), 331 – 343.
[3]. AUBIN, J.P. – Optima and equilibria. An introduction to nonlinear analysis.
[4]. Springer – Verlag Berlin Heidelberg, 1993.
[5]. 3. BAHYA, A. O. - Ensembles coniquement bornés et cônes nucléaires dans les éspaces localement convexes separés. Théses de
Doctorat de 3-ème Cycle en Mathématiques. L'école Normale Superieure - Takaddoum Rabat (Maroc), 1989.
[6]. BENSON, H.P. – The vector maximization problem: proper efficiency and stability. SIAM J. Appl. Math. 32, 1977, 64-72

Abstract: In this paper, the marriage problem and some related problems involving matching in bipartite graph is studied. Also, it is explained how such problems can be expressed in the language of transversal theory. A modified version of marriage theorem is also discussed..

Key words: Bipartite Graph, Matching Theory, and Marriage Theorem

[1]. Gale D, Shapley L S. College admission and the stability of marriage. American Math Monthly. 1962; 69: 9-15.
[2]. Carvolho H, Marcelo DE, Lucehesi CL, Murty USR. Graphs with Independent Perfect Matchings. Electronic Edition. 2005; 48 (1) :
19-50.
[3]. Wilson RC, Hancock ER. Relational Matching with Dynamic Graph Structures. Proc.
[4]. ICCV 5-th International Conference on Computer Vision. 1995; 450-456.
[5]. Messmer BT. Efficient Graph Matching Algorithms for Preprocessed Model Graphs, Ph.D. Thesis. University of Bern. Switzerland.
1995

Abstract: A supply chain inventory model for deteriorating items under price and time dependent demand is formulated for obtaining optimal policy between buyer and vendor. For obtaining optimal cycle time and prices for a system with multiple buyers and single vendor under two level storage for buyers as profit maximization is developed. Joint profits for buyers and vendor have also computed. Numerical example is presented with its sensitivity analysis to demonstrate the utility of the model

Key words: Different Deterioration, Multiple Buyers, Optimal strategy, Price dependent demand, Single Vendor, Supply chain, Time dependent demand, Time varying holding cost, Two storage facility

[1]. Banerjee, S. and Agarwal, S. (2008): A two warehouse inventory model for items with three parameter Weibull distribution deterioration, shortages and linear trend in demand; Int. Transaction in Oper. Res., Vol. 15, pp. 755-775.
[2]. Chan, C.K. and Kingsman, B. G. (2007): Coordination in a single-vendor multi buyer supply chain by synchronizing delivery and production cycles, Transportation Research Part E Logistics and Transportation Review, Vol. 43(2), pp. 90-111.
[3]. Gani, A. N and Dharik, S. R. (2018): Consignment and vendor managed inventory in single-vendor multiple buyers supply chain with fuzzy demand; International Journal of Mathematical Archive, Vol. 9(1), pp. 80-86.
[4]. Ghiami, Y., Williams, T. and Wu, Y. (2013): A two-echelon inventory model for a deteriorating item with stock-dependent demand, partial backlogging and capacity constraints, European Journal of Operational Research, Vol. 231 (3), pp. 587–597.
[5]. Ghiami, Y. and Williams, T. (2015): A two-echelon production-inventory model for deteriorating items with multiple buyers; International Journal Production Economics, Vol. 159, pp. 233-240.

Abstract: Research on teacher observation has established teacher-content, teacher-student and student-content as three key relationships pertinent to effective mathematics teaching. This study expresses Ghanaian teachers' views about the three key relationships as they occur in mathematics lessons. The study also attempts to find out how these three relationships differ in views among JHS and SHS mathematics teachers. Well-constructed five-point Likert scale questionnaire were used to collect data from 50 JHS and 42 SHS mathematics teachers in one particular district in Ghana. Data was analysed using independent t-tests and effect sizes. The results showed an overall high expression of teachers' views about quality mathematics teaching. Significant differences existed between SHS and JHS mathematics teachers' views in teacher-content and student content relationships constructs of quality mathematics teaching. This study has implication for mathematics teaching and teacher professional development.

Key words: Quality, quality mathematics teaching, mathematical quality of instruction, construct, teachers' views.

[1]. Agyei, D. D., &Voogt, J. (2011). ICT use in the teaching of mathematics: Implications for professional development of pre-service teachers in Ghana. Education and information technologies, 16(4), 423-439.
[2]. Alliance, E. (2006). Closing the achievement gap: Best practices in teaching mathematics. Retrieved March, 8, 2010.
[3]. An, S., Kulm, G., & Wu, Z. (2004). The pedagogical content knowledge of middle school, mathematics teachers in China and the US. Journal of mathematics teacher education, 7(2), 145-172.
[4]. Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., ... & Tsai, Y. M. (2010). Teachers' mathematical knowledge, cognitive activation in the classroom, and student progress. American educational research journal, 47(1), 133-180.
[5]. Darling-Hammond, L. (2011). Effective teaching as a civil right: How building instructional capacity can help close the achievement gap. Effective Teaching as a Civil Right, 31, 44-58

Abstract: Background: This article discusses on determining the area of a bisector triangle, determining the area of the symmedian triangle, and the comparison of both. The proof is done by using trigonometry rule to find the area of the triangle and Steiner's Theorem to determine the sides that formed the triangle.

Key words: area of bisector triangle, area of symmedian triangle, bisector line, symmedian line

[1]. Amelia, Mashadi and S. Gemawati, Alternative proofs for the lenght of angle bisectors theorem on triangle, International Journal of Mathematics Trens and Technology, 66(2020), 163-166.
[2]. O. Bottterna and Erne, Elementary geometry, Springer, 2008
[3]. D. Dekov, Computer-generated mathematics: The symmedian point, Mathematika Pannonica, 10 (2008), 1-36.
[4]. D. Grinberg, Ehrmanns Third Lemoine Circle, Journal of Classical Geometry, 1(2012). 40-52
[5]. C. Kimberling, Trilinear distances inequalities for the symmedian point, centroid, and other triangle center, Forum Geometricorum, 10 (2010), 135-139.