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Full-Text Articles in Physical Sciences and Mathematics
Sheaf Theory Approach To Distributed Applications: Analysing Heterogeneous Data In Air Traffic Monitoring, Seyed M.H. Mansourbeigi
Sheaf Theory Approach To Distributed Applications: Analysing Heterogeneous Data In Air Traffic Monitoring, Seyed M.H. Mansourbeigi
Computer Science Student Research
The goal of the present article is to demonstrate a mathematical modeling for distributed applications. The present paper applies tools from topology and sheaf theory as an appropriate mathematical modeling to reflect interactions among elements of distributed applications resources. Sensors are characterized from their topological representations in distributed network system. This modeling is applied for the study of the air traffic monitoring system and discuss the model in detail.
Algebraic And Topological Structures On Rational Tangles, Vida Milani, Seyed M.H. Mansourbeigi, Hossein Finizadeh
Algebraic And Topological Structures On Rational Tangles, Vida Milani, Seyed M.H. Mansourbeigi, Hossein Finizadeh
Computer Science Student Research
In this paper we present the construction of a group Hopf algebra on the class of rational tangles. A locally finite partial order on this class is introduced and a topology is generated. An interval coalgebra structure associated with the locally finite partial order is specified. Irrational and real tangles are introduced and their relation with rational tangles are studied. The existence of the maximal real tangle is described in detail.