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Full-Text Articles in Physical Sciences and Mathematics
Nullification Of Torus Knots And Links, Zachary S. Bettersworth
Nullification Of Torus Knots And Links, Zachary S. Bettersworth
Masters Theses & Specialist Projects
Knot nullification is an unknotting operation performed on knots and links that can be used to model DNA recombination moves of circular DNA molecules in the laboratory. Thus nullification is a biologically relevant operation that should be studied.
Nullification moves can be naturally grouped into two classes: coherent nullification, which preserves the orientation of the knot, and incoherent nullification, which changes the orientation of the knot. We define the coherent (incoherent) nullification number of a knot or link as the minimal number of coherent (incoherent) nullification moves needed to unknot any knot or link. This thesis concentrates on the study …
Two Generalizations Of The Filippov Operation, Menevse Eryuzlu
Two Generalizations Of The Filippov Operation, Menevse Eryuzlu
Masters Theses & Specialist Projects
The purpose of this thesis is to generalize Filippov's operation, and to get more useful results. It includes two main parts: The C-Filippov operation for the finite and countable cases and the Filippov operation with different measures. In the first chapter, we give brief information about the importance of Filippov's operation, our goal and the ideas behind our generalizations. In the second chapter, we give some sufficient background notes. In the third chapter, we introduce the Filippov operation, explain how to calculate the Filippov of a function and give some sufficient properties of it. In the fourth chapter, we introduce …