We relate the version of rational Symplectic Field Theory for exact Lagrangian cobordisms introduced in [5] with linearized Legendrian contact homology. More precisely, if L ⊂ X is an exact Lagrangian submanifold of an exact symplectic manifold with convex end Λ ⊂ Y , where Y is a contact manifold and Λ is a Legendrian submanifold, and if L has empty concave end, then the linearized Legendrian ...

In ring and module theory, the concept of an exact sequence is commonly employed. The generalized into U-exact V-coexact sequence. Rough set theory has also been applied to a variety algebraic structures, including groups, rings, modules, others. this study, we investigated characteristics rough in groups

In this paper, we are going to solve the DNA resequencing problem. We are given a set of subseuqences obtained by the next generation sequencing (NGS) technology and we are asked to assembly them into a DNA sequence with the aid of a reference sequence. In this paper, we propose a progressive strategy to solve the resequencing problem. Our algorithm allows us to map data to reference sequence e...