This nal project discusses the solutions of Diophantine equation px + qy = z2 with p and q are twin prime numbers having solutions in positive integers. Furthermore, if the sum of p and q is a perfect square, then the Diophantine equation px + qy = z2 has unique solution (x; y; z) = (1; 1; √ p + q) in nonnegative integers. This nal project is a review of article of Bacani and Rabago …
This final project discusses the inverse of fuzzy matrix of triangular fuzzy numbers using arithmatic operations that have been modified. The modification based on the definition of positive or negative of triangular fuzzy numbers considering its area. The method used to determine the inverse of fuzzy matrix of triangular fuzzy numbers is adjoint method. Also, some properties are given to …
This final project discusses the proof of a divisibility property of binomial Coefficients.This is a review of Yang’s paper [The Electronic Journal of Combinatorics, 22 (2015), 1-6 ].
This nal project discusses the solution of two cases of triangular fuzzy number linear programming problems in objective function and all of sides constraints. The rst case is triangular fuzzy number using two-phase simplex method and the second case is triangular fuzzy number using Kumar-Kaur-Singh's method [Applied Mathematical Modelling, 35 (2011), 817-823]. This problem is solved usi…