Essays about: "Homotopy"
Showing result 1 - 5 of 8 essays containing the word Homotopy.
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1. Development of a 2D Optimal Path Simulation for Ship-to-Shore Cranes : Safe Trajectories within Interchangeable Obstalce Environments
University essay from Linköpings universitet/FordonssystemAbstract : The most advanced ports as of writing of this report are at least somewhat autonomous. Whether discussing the transporters between crane and stack (temporary storage) or cranes, the ports are shifting into a completely autonomous system. This ultimate goal presents a challenge in regards to unloading and loading cargo ships in the harbour. READ MORE
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2. Multi-Hypothesis Motion Planning under Uncertainty Using Local Optimization
University essay from Linköpings universitet/ReglerteknikAbstract : Motion planning is defined as the problem of computing a feasible trajectory for an agent to follow. It is a well-studied problem with applications in fields such as robotics, control theory and artificial intelligence. READ MORE
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3. The classification theorem for closed surfaces
University essay from Lunds universitet/Matematik LTHAbstract : In this thesis we will study some basic concepts in algebraic topology such as the fundamental group, simplicial complexes and simplicial homology. These are then used together with a method called surgery to prove a complete topological classification of closed surfaces... READ MORE
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4. Supersymmetric Quantum Mechanics, Index Theorems and Equivariant Cohomology
University essay from Uppsala universitet/Teoretisk fysikAbstract : In this thesis, we investigate supersymmetric quantum mechanics (SUSYQM) and its relation to index theorems and equivariant cohomology. We define some basic constructions on super vector spaces in order to set the language for the rest of the thesis. READ MORE
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5. Solitons in High Energy Physics
University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisationAbstract : Solitons are solutions to classical field equations that are particle like, meaning they are localized in space, have definite energy and can be stable against deformations into the vacuum. In this thesis we investigate under which circumstances such solutions may exist and what effects their existence could have. READ MORE