iosr-Jm   Volume-13 ~ Issue-1 ~ Jan-Feb 2017

Abstract: In the first part of the paper I willpresentabriefreview on the Hardy-Weinberg equilibrium and it's formulation in projective algebraicgeometry. In the second and last part I willdiscussexamples and generalizations on the topic.

Keywords: Hardy-Weinberg, likelihood function, maximum likelihood estimation.

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[4]. B.Chor, A.Khetan, S.Snir, Maximum likelihood on four taxa phylogenetic trees: analytic solutions, The 7th Annual Conference on Research in Computational Molecular Biology-RECOMB 2003, Berlin, April 2003, pp. 76-83.
[5]. G.H.Hardy, Mendelian Proportions in a Mixed Population, Science, New Series, Vol.28, 706 (1908), 49-50.

Abstract: The degree equitable connected cototal dominating graph..............

Keywords: Connected dominating graph, Degree equitable connected cototal dominating set, Degree equitable connected cototal dominating graph.

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[4] B. Basavanagoud and S. M. Hosamani, Degree equitable connected domination in graphs, ADMS, 5(1) (2013), 1-11
[5] V. R. Kulli, B. Janakiram and R. R. Iyer, The cototal domination of graph, Discrete Mathematical Sciences and Cryptography 2 (1999), 179-184.

Abstract: One of the most famous mathematical constants is the Euler's number e. It is a beautiful number and pops up everywhere in nature. It is the natural language of growths and changes. Thus, it has many different graphical representations. However, today I'm going to show you a geometrical representation of e to help you visualize it better.

Keywords: Another third and divide it into a fourth,infinity, remaining half into a third

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Abstract: In this paper, we study semi symmetric and pseudo symmetric conditions in S -manifolds, those are RR = 0 , RC = 0 , C R = 0 , C C = 0 , = ( , ) 1 R R LQ g R , = ( , ) 2 RC L Q g C , = ( , ) 3 CR L Q g R , and = ( , ) 4 C C L Q g C , where C is the Concircular curvature tensor and 1 2 3 4 L ,L ,L ,L are the smooth functions on M , further we discuss about Ricci soliton.

Keywords: S -manifold,  -Einstein manifold, Einstein manifold, Ricci soliton.

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[5]. Chenxu He and Meng Zhu Ricci solitons on Sasakian manifolds, Arxiv:1109.4407v2 [math.DG]